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The leading text in the field, Animal Behavior shows how researchers use scientific logic to study the underlying mechanisms and evolutionary bases of behavior, now with a streamlined presentation and enhanced eBook.Be introduced to a rich array of fascinating examples of animal behavior and uses a vivid narrative voice that conveys the excitement of the subject. The upcoming 12th edition's enhanced eBook will make the subject come alive with numerous video and audio clips that will be presented in-line as students read. The enhanced eBook will also include 50 new interactive figures. Another objective instructors have is to help students master concepts and then demonstrate that mastery. To assist instructors with this goal, the 12th edition enhanced eBook will incorporate all-new inline self-assessments, as well as gradable chapter assessment quizzes.Recognise the rigorous scientific methodology involved in animal behavior research with an all-new "Behind the Scenes" feature, where each chapter will highlight a single research paper and look in-depth at how the research was conducted, taking a balanced view of the ultimate and proximate causes underlying how and why animals behave as they do. Rubenstein is renowned for its empirical presentation of the ultimate causes of animal behavior, and this edition will do an even better job of integrating concepts across levels of scale at the proximate level. This need will be addressed by including an even greater focus on Tinbergen's "Four Questions" and by including more integrative studies that cross levels of analysis. A 10% streamline across the content, a redesign of the chapter summaries and the addition of synthetic sections that link topics across the text and media resources will help you traverse Animal Behaviour with ease.NEW TO THIS EDITION:Enhanced integration of concepts across levels of scale: Greater focus on Tinbergen's "Four Questions" & Inclusion of more integrative studies that cross levels of analysis.Streamlined by approximately 10%, primarily by removal of extraneous examples.Added more proximate explanations and integrative examples.Re-designed chapter summaries.Synthetic sections that link topics across the text and media resources will help students get through the information overload.Enhanced eBook edition with numerous video and audio clips presented in-line as students read, 50 new interactive figures, inline self-assessments, lab manual, and discussion questions.This title is available as an enhanced eBook. Visit VitalSource for more information or to purchase.
(source: Nielsen Book Data)

• 1. Macroscopic connectivity as the essential characteristic of heterogeneous systems
• 2. Percolation theory: Classical and poor man's
• 3. Extensions of the classical percolation model
• 4. Characterization of porous media and materials
• 5. Connectivity of fracture and fault networks
• 6. Earthquakes, critical phenomena, and percolation
• 7. Flow and transport properties of porous materials
• 8. Mixing and dispersion in flow through porous media
• 9. Multiphase fluid flow in porous media
• 10. Percolation in evolving media
• 11. Vector percolation and rigidity of materials
• 12. Transport properties of composite materials
• 13. Rheology and elastic properties of network glasses, branched polymers, and gels
• 14. Vibrational density of states of heterogeneous materials
• 15. Hopping conductivity of heterogeneous materials
• 16. Applications of invasion percolation
• 17. Percolation in random graphs and complex networks
• 18. Percolation in biological systems
• 19. Percolation theory, ecology, hydrology, and geochemistry
• 20. Explosive percolation and its applications
• 21. Directed percolation and its applications
• 22. Percolation in large-scale systems
• References
• Index

The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only all the chapters of the 1st edition have been completely rewritten and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, direcrted percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks--back cover

• 1. Bayesian scientific computing and inverse problems
• 2. Linear algebra
• 3. Continuous and discrete multivariate distributions
• 4. Introduction to sampling
• 5. The praise of ignorance: randomness as lack of certainty
• 6. Enter subject: construction of priors
• 7. Posterior densities, ill-conditioning, and classical regularization
• 8. Conditional Gaussian densities
• 9. Iterative linear solvers and priorconditioners
• 10. Hierarchical models and Bayesian sparsity
• 11. Sampling: the real thing
• 12. Dynamic methods and learning from the past
• 13. Bayesian filtering for Gaussian densities
• References
• Index

The once esoteric idea of embedding scientific computing into a probabilistic framework, mostly along the lines of the Bayesian paradigm, has recently enjoyed wide popularity and found its way into numerous applications. This book provides an insider's view of how to combine two mature fields, scientific computing and Bayesian inference, into a powerful language leveraging the capabilities of both components for computational efficiency, high resolution power and uncertainty quantification ability. The impact of Bayesian scientific computing has been particularly significant in the area of computational inverse problems where the data are often scarce or of low quality, but some characteristics of the unknown solution may be available a priori. The ability to combine the flexibility of the Bayesian probabilistic framework with efficient numerical methods has contributed to the popularity of Bayesian inversion, with the prior distribution being the counterpart of classical regularization. However, the interplay between Bayesian inference and numerical analysis is much richer than providing an alternative way to regularize inverse problems, as demonstrated by the discussion of time dependent problems, iterative methods, and sparsity promoting priors in this book. The quantification of uncertainty in computed solutions and model predictions is another area where Bayesian scientific computing plays a critical role. This book demonstrates that Bayesian inference and scientific computing have much more in common than what one may expect, and gradually builds a natural interface between these two areas--back cover

• The biology and genetics of cells and organisms
• The nature of cancer
• Cancer as an Infectious Disease
• Cellular oncogenes
• Growth factors, receptors, and cancer
• Cytoplasmic signaling circuitry programs many of the traits of cancer
• Tumor suppressor genes
• pRB and control of the cell cycle clock
• p53: Master Guardian and Executioner
• Eternal life : cell immortalization and tumorigenesis
• Multi-step tumorigenesis
• Shaping and Characterizing the Cancer Genome
• Dialogue replaces monologue : heterotypic interactions and the biology of angiogenesis
• Moving out : invasion and metastasis
• Crowd control : tumor immunology
• Cancer Immunotherapy
• The rational treatment of cancer

The gold standard text in cancer biology, thoroughly updated with the latest research.Incorporating the most important advances in the rapidly-evolving field of cancer biology, this book remains the defining course text on its subject. Students, instructors, researchers, and clinicians the world over admire its authoritative content, clear explanations, extensive full-color art program, and pedagogical features that promote a deep conceptual understanding of the science through the lens of fascinating tales of scientific discovery. -- Provided by publisher

"In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial results for existence in smaller ranges of exponents and for a subclass of such systems had been established. The presented uniqueness results are completely new, and the authors also elucidate optimal ranges for problems with fractional regularity data.The first part of the monograph, which can be read independently, provides optimal ranges of exponents for functional calculus and adapted Hardy spaces for the associated boundary operator. Methods use and improve, with new results, all the machinery developed over the last two decades to study such problems: the Kato square root estimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the absence of local regularity of solutions."-- Provided by publisher.

• Independent random variables with independent sum and difference
• Characterization of probability distributions through the independence of linear forms
• Characterization of probability distributions through the symmetry of the conditional distribution of one linear form given another
• Characterization theorems on the field of p-adic numbers
• Miscellaneous characterization theorems

"It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups" -- Provided by publisher

"A textbook covering the field of cosmology, describing processes in the universe starting from the big bang until the present day. The book is graduate-level and technical, but emphasizes pedagogical exposition, analogies, and worked examples. Data-analysis techniques and statistics are integrated with more theoretical topics to provide the tools necessary for research in the field"-- Provided by publisher.

• Preface
• Chern-Connes-Karoubi character ismorphisms and algebras of symbols pseudodifferential operators / A. Baldare, M. Benameur, and V. Nistor
• One Perrot's index cocycles / J. Block, H. Higson, and J. Sanchez Jr.
• The Chern-Baum-Connes assembly map for Lie groupoids / P. Carrillo Rouse --Hochschild homology, trace map 9-cycles / A. Connes and C. Consani --Cyclic theory and the pericyclic category / A. Connes and C. Consani
• The image of Bott periodicity in cyclic homology / J. Cuntz
• Applications of topological cycle homology to algebraic K-theory / B. I. Dundas --Algebraic K-theory and generalized stable homotopy theory / D. Gepner --Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose / A. Gorokhovsky and E. Van Erp
• Topological cyclic homology and the Fargues-Fontaine curve / L. Hesselholt
• Hopf cyclic cohomology and beyond / M. Khalkhali and I. Shapiro
• The Hochschild cohomology of uniform Roe algebras / M Lorentz --Quantum differentiabiltiy - the analytical perspective / E. McDonald, F. Sukochev, and X. Xiong
• Local cyclic homology for nonarchimedean Banach Algebras / R. Meyer and D. Mukherjee
• On the van Est analogy in Hopf cyclic cohomology / H. Moscovici
• Primary and secondary invariants of Dirac operators on G-proper manifolds / P. Piazza and X. Tang --Localization in Hochschild homology / M. J. Pflaum
• Cyclic homology and group actions / R. Ponge
• Cyclic cocycles and quantized pairings in materials science / E. Prodan
• Periodic cyclic homology of crossed Products / M. Puschnigg
• Trace expansions and equivariant trances on an algebra of Fourier integral operators on Rn / A. Savin and E. Schrohe
• Cartan motion group and orbital integrals / Y. Song and X. Tang
• On noncommutative crystalline cohomology / B. Tsygan --Cyclic cocycles and one-loop corrections in the spectral action / T.D. H. Nuland and and W.D. Van Suijlekom
• l1-higher index, l1-higher rho invariant and cyclic cohomology / J. Wang, Z. Xie, and G. Yu

• Turtles all the way down
• The final three minutes of a movie
• Where does intent come from?
• Willing willpower : the myth of grit
• A primer on chaos
• Is your free will chaotic?
• A primer on emergent complexity
• Does your free will just emerge?
• A primer on quantum indeterminacy
• Is your free will random?
• Interlude
• Will we run Amok?
• The ancient gears within us : how does change happen?
• We really have done this before
• The joy of punishment
• If you die poor.

"One of our great behavioral scientists plumbs the depths of the science and philosophy of decision-making to mount a devastating case against free will, an argument with profound consequences. Robert Sapolsky's "Behave," his now classic account of why humans do good and why they do bad, pointed toward an unsettling conclusion: We may not grasp the precise marriage of nature and nurture that creates the physics and chemistry at the base of human behavior, but that doesn't mean it doesn't exist. Now, in "Determined," Sapolsky takes his argument all the way, mounting a brilliant (and in his inimitable way, delightful) full-frontal assault on the pleasant fantasy that there is some separate self telling our biology what to do. This book offers a marvelous synthesis of what we know about how consciousness works--the tight weave between reason and emotion and between stimulus and response in the moment and over a life. One by one, Sapolsky tackles all the major arguments for free will and takes them out, cutting a path through the thickets of chaos and complexity science and quantum physics, as well as touching ground on some of the wilder shores of philosophy. He shows us that the history of medicine is in no small part the history of learning that fewer and fewer things are somebody's "fault"; for example, for centuries we thought seizures were a sign of demonic possession. Yet, as he acknowledges, it's very hard, and at times impossible, to uncouple from our zeal to judge others and to judge ourselves. Sapolsky applies the new understanding of life beyond free will to some of our most essential questions around punishment, morality, and living well together. By the end, Sapolsky argues that while living our daily lives recognizing that we have no free will is going to be monumentally difficult, doing so is not going to result in anarchy, pointlessness, and existential malaise. Instead, it will make for a much more humane world"-- Provided by publisher.

• Preface
• Acknowledgements
• Notation and Conventions
• Chapter 1. Algebraic Preliminaries
• Chapter 2. Non-Archimedean Fields
• Chapter 3. Basic Properties of Drinfeld Modules
• Chapter 4. Drinfeld Modules over Finite Fields
• Chapter 5. Analytic Theory of Drinfeld Modules
• Chapter 6. Drinfeld Modules over Local Fields
• Chapter 7. Drinfeld Modules over Global Fields
• Appendix A. Drinfeld modules for general function rings
• Appendix B. Notes on exercises
• Bibliography
• Index.

"This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic."--Back cover.

• 1. Introduction to dynamical systems
• 2. Topological equivalence, bifurcations, and structural stability of dynamical systems
• 3. One-parameter bifurcations of equilibria in continuous-time dynamical system
• 4. One-parameter bifurcations of fixed points in discrete-time dynamical systems
• 5. Bifurcations of equilibria and periodic orbits in n-dimensional dynamical systems
• 6. Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria
• 7. Other one-parameter bifurcations in continuous-time dynamical systems
• 8. Two-parameter bifurcations of equilibria in continuous-time dynamical systems
• 9. Two-parameter bifurcations of fixed points in discrete-time dynamical systems
• 10. Numerical analysis of bifurcations
• Appendix A: basic notions from from algebra, analysis, and geometry
• References
• Index.

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis--back cover.

• Preface
• Acknowledgements
• Part I. Fundamentals
• 1. Introduction to behavior genetics
• 2. Mendelian genetics
• 3. Heritability
• Part II. Molecules and cells
• 4. Genes
• 5. Genetic variation
• 6. Neurogenetics
• Part III. Behaviors and behavioral disorders
• 7. Serious mental illness
• 8. Learning and memory
• 9. Emotion and depressive disorders
• 10. Fear and anxiety
• 11. Addiction
• Part IV. Health, social behavior, and implications
• 12. Eating and exercising
• 13. Social behavior
• 14. Behavior genetics in real life
• 15. Eugenics
• Glossary
• Index.
• (source: Nielsen Book Data)

Foundations of Behavior Genetics provides a forward-looking introduction to this fascinating field. Written by an experienced teacher and researcher, this text focuses on concepts, methods, and findings that inform our understanding of heredity-behavior relations. The book's neuroscience perspective asks students to think about potential neural mechanisms involved in pathways from genes to behavior. While the text is primarily focused on human behavior genetics, it also emphasizes the importance of non-human animal models in experimental studies, as well as their evolutionary connections to humans. Part I covers the history of behavior genetics and the basics of non-molecular genetics; Part II discusses molecular genetics and neurogenetics; Part III addresses various behavioral disorders; and Part IV explores health, social behavior, and ethical implications. The text includes detailed chapter summaries, several "Check-up" questions after major sections that test student understanding, and recommended readings. Instructors are provided with a test bank of multiple-choice items and hi-res JPEGs of the many illustrations created for the book.
(source: Nielsen Book Data)

Endeavors to explain Einstein's general theory of relativity, beginning with the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, offering readers a deeper understanding of the universe's real structure.

"Genomes 5 is a thoroughly modern textbook about genomes and how they are investigated. In the book techniques come first, then genome anatomies, followed by genome function, and finally genome evolution. The genomes of all types of organism are covered: viruses, bacteria, fungi, plants, and animals including humans"-- Provided by publisher.

• Appetizer : triangles and equations
• Forbidding a subgraph
• Graph regularity method
• Pseudorandom graphs
• Graph limits
• Graph homomorphism inequalities
• Forbidding 3-term arithmetic progressions
• Structure of set addition
• Sum-product problem
• Progressions in sparse pseudorandom sets.

"This graduate level textbook covers classical and modern developments in graph theory and additive combinatorics, presenting arguments as a cohesive whole. Students will appreciate the chapter summaries, many figures and exercises, as well as the complementary set of lecture videos freely available through MIT OpenCourseWare"-- Provided by publisher.

"We have expanded from seven to eight principles, which has allowed us to delve more deeply into the social and emotional components of learning. A brand new chapter (Chapter 1) explores individual differences among learners, and the intersections of identities and backgrounds that shape how students enter, respond to, and shape the learning environment. A reworked chapter (Chapter 7) investigates more fully the ways that instructors can shape the climate of their courses to make students feel included or marginalized -- and the implications for learning and performance. Across all eight principles, we updated the research previously discussed while integrating new areas of research. Wherever possible, we applied a diversity, equity, and inclusion lens, exploring issues of power, identity, and belonging as they relate to teaching and learning. We have also referenced a broader range of institution types and student populations than in the previous edition, and incorporated case studies and strategies relevant to emerging educational technologies and online and hybrid learning modalities."-- Provided by publisher

• Outline of the convex integration scheme
• Inductive assumptions
• Building blocks
• Mollification
• Cutoffs
• From q to q + 1: breaking down the main inductive estimates
• Proving the main inductive estimates
• Parameters.

"To gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L̂2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates"-- Provided by publisher.
"A new threshold for the existence of weak solutions to incompressible Euler equations. To gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L̂2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates"-- Provided by publisher.

Inverse scattering theory is a major theme in applied mathematics, with applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting challenges in the development of efficient inversion algorithms. A further complication is that anisotropic materials cannot be uniquely determined from given scattering data. In the first edition of Inverse Scattering Theory and Transmission Eigenvalues, the authors discussed methods for determining the support of inhomogeneous media from measured far field data and the role of transmission eigenvalue problems in the mathematical development of these methods. In this second edition, three new chapters describe recent developments in inverse scattering theory. In particular, the authors explore the use of modified background media in the nondestructive testing of materials and methods for determining the modified transmission eigenvalues that arise in such applications from measured far field data. They also examine nonscattering wave numbers-a subset of transmission eigenvalues-using techniques taken from the theory of free boundary value problems for elliptic partial differential equations and discuss the dualism of scattering poles and transmission eigenvalues that has led to new methods for the numerical computation of scattering poles. This book will be of interest to research mathematicians and engineers and physicists working on problems in target identification. It will also be useful to advanced graduate students in many areas of applied mathematics.
(source: Nielsen Book Data)

• Part I. Lagerungen
• Arrangements in the plane, on the sphere, and in space : 1. Some theorems from elementary geometry
• 2. Theorems from the theory of convex bodies
• 3. Problems on packing and covering in the plane
• 4. Efficiency of packings and coverings with a sequence of convex disks
• 5. Extremal properties of regular polyhedra
• 6. Irregular packing on the sphere
• 7. Packing in space
• Part II. Notes and additional chapters to the English edition : 8. Notes / G. Fejes Tóth, L. Fejes Tóth and W. Kuperberg
• 9. Finite variations on the isoperimetric problem / G. Fejes Tóth
• 10. Higher dimensions / G. Fejes Tóth
• 11. Ball packings in hyperbolic space / G. Fejes Tóth, L. Fejes Tóth and W.. Kuperberg
• 12. Multiple arrangements / G. Fejes Tóth
• 13. Neighbors / G. Fejes Tóth, L. Fejes Tóth and W. Kuperberg
• 14. Packing and covering properties of sequences of convex bodies / G. Fejes Tóth
• 15. Four classic problems / G. Fejes Tóth and W. Kuperberg
• 16. Miscellaneous problems about packing and covering / G. Fejes Tóth, L. Fejes Tóth and W. Kuperberg
• References for Part I
• References for Part II
• Name index
• Subject index

"The publication of the first edition of 'Lagerungen in der Ebene, auf der Kugel und im Raum' in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition. The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of: a corrected English translation of the original Lagerungen; the revised and updated Notes on the original text; eight self-contained chapters surveying additional topics in detail. The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come" -- Backside cover

• Wayfinding : composition : decomposition
• Death traps : Great Salt Lake
• Stuck : American West
• Unspiraling : North America
• The big here : Earth
• Field notes : excavations

"At Great Salt Lake, near Robert Smithson's iconic earthwork Spiral Jetty, a motley crew of scientists walks the mudflats to study fossils in the making. This reputedly dead sea is home to countless tar seeps, pools of raw oil that act as the perfect preservative, encasing organisms as they were in life. In this spare landscape, an intricate web of life unfurls. Halophiles--salt-hungry microorganisms--tint the brackish water pink and orange; crystals of gypsum stud the ground, glistening underfoot; and pelicans and other migratory birds stop for a crucial rest. Barn owls and seagulls flirt with their prey around the oozing microbial constellations, sometimes falling prey to the oil themselves. Gretchen Henderson came to the tar seeps, a kind of natural asphalt, after recovering from being hit by a car as she walked in a crosswalk--a manufactured asphalt. Like the spiraling artwork that made the Great Salt Lake's northeastern shore famous, Henderson's associations of life and death, degeneration and regeneration, and injury and healing came together as she reexamined the pressing questions this delicate area revealed about the climate crisis. How do we move beyond narrow concepts of the beautiful and the ugly to care for ecosystems that evolve over time? How do we confront our vulnerability to recognize kindred dynamics in our living planet? Through shifting lake levels, bird migrations, microbial studies, environmental arts, and cultural histories shaped by indigenous knowledge and colonial legacies, Life in the Tar Seeps contemplates the ways others have understood this overlooked region. As Henderson witnesses scientists, curators, land managers, and students working collaboratively to steward a challenging place, she grows to see the lake not as dead but as a watershed for shifting perceptions and a meditation on the environmental healing of the planet. Henderson illustrates her journey with her own vivid photographs of tar seeps and pelican death assemblages, historic maps, and contemporary art and includes a wayfinding guide for exploring places of our own"-- Provided by publisher

• 1. Shuffling cards: An introduction
• 2. Practice and history of shuffling cards
• 3. Convergence rates for riffle shuffles
• 4. Features
• 5. Eigenvectors and Hopf algebras
• 6. Shuffling and carries
• 7. Different models for riffle shuffling
• 8. Move to front shuffling and variations
• 9. Shuffling and geometry
• 10. Shuffling and algebraic topology
• 11. Type B shuffles and shelf shuffling machines
• 12. Descent algebras, 𝑃-partitions, and quasisymmetric functions
• 13. Overhand shuffling
• 14. “Smoosh” shuffle
• 15. How to shuffle perfectly (randomly)
• 16. Applications to magic tricks, traffic merging, and statistics
• 17. Shuffling and multiple zeta values.

This book gives a lively development of the mathematics needed to answer the question, “How many times should a deck of cards be shuffled to mix it up?” The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table.The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics—Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics.The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards. -- Provided by publisher.

• Rings and coefficients
• Moduli stacks of φ [phi]-modules and (φ [phi], Γ [Gamma])-modules
• Crystalline and semistable moduli stacks
• Families of extensions
• Crystalline lifts and the finer structure of Xd,red
• The rank one case
• A geometric Breuil-Mézard conjecture

"Motivated by the p-adic Langlands program, this book constructs stacks that algebraize Mazur's formal deformation rings of local Galois representations. More precisely, it constructs Noetherian formal algebraic stacks over Spf Zp that parameterize étale (φ [phi], Γ [Gamma])-modules; the formal completions of these stacks at points in their special fibres recover the universal deformation rings of local Galois representations. Matthew Emerton and Toby Gee use these stacks to show that all mod p representations of the absolute Galois group of a p-adic local field lift to characteristic zero, and indeed admit crystalline lifts. They explicitly describe the irreducible components of the underlying reduced substacks and discuss the relationship between the geometry of these stacks and the Breuil-Mézard conjecture. Along the way, they prove a number of foundational results in p-adic Hodge theory that may be of independent interest"-- Provided by publisher

"Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon-Skoda theorem and Hilbert's Nullstellensatz, to arithmetic intersection theory and to tropical geometry"-- Back cover.

This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical literature in the field. It emerged from lectures and seminars given at the Federal University of Pernambuco, Brazil, known as one of the leading research centers in the theory of Hamiltonian dynamics--back cover.

• Existence, Uniqueness, and Regularity of Solutions
• Semidiscrete Discretization
• Convolution Quadrature
• Finite Difference Methods: Construction and Implementation
• Finite Difference Methods on Uniform Meshes
• Finite Difference Methods on Graded Meshes
• Nonnegativity Preservation
• Discrete Fractional Maximal Regularity
• Subdiffusion with time-dependent coefficients
• Semilinear Subdiffusion Equations
• Time-Space Formulation and Finite Element Approximation
• A Spectral Petrov-Galerkin Method
• Incomplete Iterative Solution at the Time Levels
• Optimal Control with Subdiffusion Constraint
• Backward Subdiffusion Problems
• Appendix: Mathematical Preliminaries.

This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.

• Motivating Introduction
• Optimal Design Theory for Linear Models
• Designing for Nonlinear Models
• Bayesian Optimal Designs
• Hot Topics
• Real Case Examples
• Appendices. A. Some Mathematical Concepts and Properties
• B. Linear Models
• C. Analysis of the Variance and Classical Experimental Design
• D. Response Surface Analysis Through an Illustrative Example
• E. Regression and Correlation
• Probability Measure Theory
• G. Convex Theory.

This textbook provides a concise introduction to optimal experimental design and efficiently prepares the reader for research in the area. It presents the common concepts and techniques for linear and nonlinear models as well as Bayesian optimal designs. The last two chapters are devoted to particular themes of interest, including recent developments and hot topics in optimal experimental design, and real-world applications. Numerous examples and exercises are included, some of them with solutions or hints, as well as references to the existing software for computing designs. The book is primarily intended for graduate students and young researchers in statistics and applied mathematics who are new to the field of optimal experimental design. Given the applications and the way concepts and results are introduced, parts of the text will also appeal to engineers and other applied researchers.

"A Panoply of Polygons presents and organizes hundreds of beautiful, surprising and intriguing results about polygons with more than four sides. (A Cornucopia of Quadrilaterals, a previous volume by the same authors, thoroughly explored the properties of four-sided polygons.) This panoply consists of eight chapters, one dedicated to polygonal basics, the next ones dedicated to pentagons, hexagons, heptagons, octagons and many-sided polygons. Then miscellaneous classes of polygons are explored (e.g., lattice, rectilinear, zonogons, cyclic, tangential) and the final chapter presents polygonal numbers (figurate numbers based on polygons). Applications, real-life examples, and uses in art and architecture complement the presentation where many proofs with a visual nature are included" -- back cover

"This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with Maple™ completes the book. Throughout, three fundamental examples are studied with different tools: Poisson's equation, the heat equation, and the wave equation on Euclidean domains. The Black-Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed."--Provided by publisher

This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

• Constituents of the univariate antenna problem
• Functional and Fourier analytic auxiliaries
• Matricial methodologies of resolution
• Compact operator methodologies of resolution
• Example realizations light : univariate differentiation
• Reconstruction and regularization methods
• Regularization methodologies in geotechnology
• Lattice point and special function theoretic auxiliaries
• Sampling over continuously connected pointsets
• Sampling over discretely given pointsets
• Polyharmonic finite bandwidth sampling
• Polyharmonic infinite bandwidth sampling
• Polymetaharmonic finite bandwidth sampling
• Polymetaharmonic infinite bandwidth sampling
• Sampling methodologies in technology
• Recovery as interconnecting whole.

"The goal of this book is to introduce the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. The recovery of objects from a set of data demands key solvers of inverse and sampling problems. Until recently, connections between the mathematical areas of inverse problems and sampling were rather tenuous. However, advances in several areas of mathematical research have revealed deep common threads between them, which proves that there is a serious need for a unifying description of the underlying mathematical ideas and concepts. Freeden and Nashed present an integrated approach to resolution methodologies from the perspective of both these areas. Researchers in sampling theory will benefit from learning about inverse problems and regularization methods, while specialists in inverse problems will gain a better understanding of the point of view of sampling concepts. This book requires some basic knowledge of functional analysis, Fourier theory, geometric number theory, constructive approximation, and special function theory. By avoiding extreme technicalities and elaborate proof techniques, it is an accessible resource for students and researchers not only from applied mathematics, but also from all branches of engineering and science." -- Provided by publisher.

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher

"This volume is one of six that together comprise the text materials for Six Ideas That Shaped Physics, a unique approach to the two- or three-semester calculusbased introductory physics course. I have designed this curriculum (for which these volumes only serve as the text component) to support an introductory course that combines three elements: Inclusion of 20th-century physics topics, A thoroughly 21st-century perspective on even classical topics, and Support for a student-centered and active-learning-based classroom"-- Provided by publisher