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• Introduction. Dessins d'enfants: From polynomials through Belyi functions to weighted trees. Existence theorem. Recapitulation and perspective. Classification of unitrees. Computation of Davenport-Zannier pairs for unitrees. Primitive monodromy groups of weighted trees. Trees with primitive monodromy groups. A zoo of examples and constructions. Diophantine invariants. Enumeration. What remains to be done. Bibliography. Index.
• (source: Nielsen Book Data)

The French expression "dessins d'enfants'' means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics. The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
(source: Nielsen Book Data)

• 1 Regularity in several variables.- 1 Geometric models of divisorially valued function fields.- 2 Logarithmic differential operators.- 3 Connections regular along a divisor.- 4 Extensions with logarithmic poles.- 5 Regular connections: the global case.- 6 Exponents.- Appendix A: A letter of Ph. Robba (Nov. 2, 1984).- Appendix B: Models and log schemes.- 2 Irregularity in several variables.- 1 Spectral norms.- 2 The generalized Poincare-Katz rank of irregularity.- 3 Some consequences of the Turrittin-Levelt-Hukuhara theorem.- 4 Newton polygons.- 5 Stratification of the singular locus by Newton polygons.- 6 Formal decomposition of an integrable connection at a singular divisor.- 7 Cyclic vectors, indicial polynomials and tubular neighborhoods.- 3 Direct images (the Gauss-Manin connection).- 1 Elementary fibrations.- 2 Review of connections and De Rham cohomology.- 3 Devissage.- 4 Generic finiteness of direct images.- 5 Generic base change for direct images.- 6 Coherence of the cokernel of a regular connection.- 7 Regularity and exponents of the cokernel of a regular connection.- 8 Proof of the main theorems: finiteness, regularity, monodromy, base change (in the regular case).- Appendix C: Berthelot's comparison theorem on OXDX-linear duals.- Appendix D: Introduction to Dwork's algebraic dual theory.- 4 Complex and p-adic comparison theorems.- 1 Review of analytic connections and De Rham cohomology.- 2 Abstract comparison criteria.- 3 Comparison theorem for algebraic vs.complex-analytic cohomology.- 4 Comparison theorem for algebraic vs. rigid-analytic cohomology (regular coefficients).- 5 Rigid-analytic comparison theorem in relative dimension one.- 6 Comparison theorem for algebraic vs. rigid-analytic cohomology (irregular coefficients).- 7 The relative non-archimedean Turrittin theorem.- Appendix E: Riemann's "existence theorem" in higher dimension, an elementary approach.- References.
• (source: Nielsen Book Data)

"...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables." --Mathematical Reviews.
(source: Nielsen Book Data)

• Degree theory
• Applications

The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function. They apply this theory to count the (algebraic) number of immersed hyperspheres in various cases: where $K$ is mean curvature, extrinsic curvature and special Lagrangian curvature and show that in all these cases, this number is equal to $-\chi(M)$, where $\chi(M)$ is the Euler characteristic of the ambient manifold $M$.
(source: Nielsen Book Data)

• Introduction--
• 1. Basic facts on categories--
• 2. Abelian categories and additive functors--
• 3. Differential graded algebra--
• 4. Translations and standard triangles--
• 5. Triangulated categories and functors--
• 6. Localization of categories--
• 7. The derived category D(A, M)--
• 8. Derived functors--
• 9. DG and triangulated bifunctors--
• 10. Resolving subcategories of K(A, M)--
• 11. Existence of resolutions--
• 12. Adjunctions, equivalences and cohomological dimension--
• 13. Dualizing complexes over commutative rings--
• 14. Perfect and tilting DG modules over NC DG rings--
• 15. Algebraically graded noncommutative rings--
• 16. Derived torsion over NC graded rings--
• 17. Balanced dualizing complexes over NC graded rings--
• 18. Rigid noncommutative dualizing complexes-- References-- Index.
• (source: Nielsen Book Data)

There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important component of homological algebra. It carefully explains the foundations in detail before moving on to key applications in commutative and noncommutative algebra, many otherwise unavailable outside of research articles. These include commutative and noncommutative dualizing complexes, perfect DG modules, and tilting DG bimodules. Written with graduate students in mind, the emphasis here is on explicit constructions (with many examples and exercises) as opposed to axiomatics, with the goal of demystifying this difficult subject. Beyond serving as a thorough introduction for students, it will serve as an important reference for researchers in algebra, geometry and mathematical physics.
(source: Nielsen Book Data)

• Setting the scene
• The thermophiles
• Finding directions
• Estimating distances
• Integrating paths
• Using landmarks
• Organizing the journey

A world-renowned researcher of animal behavior reveals the extraordinary orienteering skills of desert ants, offering a thrilling account of the sophisticated ways insects function in their natural environments. Cataglyphis desert ants are agile ultrarunners who can tolerate near-lethal temperatures when they forage in the hot midday sun. But it is their remarkable navigational abilities that make these ants so fascinating to study. Whether in the Sahara or its ecological equivalents in the Namib Desert and Australian Outback, the Cataglyphis navigators can set out foraging across vast expanses of desert terrain in search of prey, and then find the shortest way home. For almost half a century, Rudiger Wehner and his collaborators have devised elegant experiments to unmask how they do it. Through a lively and lucid narrative, Desert Navigator offers a firsthand look at the extraordinary navigational skills of these charismatic desert dwellers and the experiments that revealed how they strategize and solve complex problems. Wehner and his team discovered that these insect navigators use visual cues in the sky that humans are unable to see, the Earth's magnetic field, wind direction, a step counter, and panoramic "snapshots" of landmarks, among other resources. The ants combine all of this information to steer an optimal course. At any given time during their long journey, they know exactly where to go. It is no wonder these nimble and versatile creatures have become models in the study of animal navigation. Desert Navigator brings to light the marvelous capacity and complexity found in these remarkable insects and shows us how mini brains can solve mega tasks.
(source: Nielsen Book Data)

• PART I. PATTERNS AND PROCESSES OF BECOMING: A FRAMEWORK FOR UNDERSTANDING ANIMAL DEVELOPMENT
• Chapter 1. Making New Bodies: Mechanisms of Developmental Organization
• Chapter 2. Specifying Identity: Mechanisms of Developmental Patterning
• Chapter 3. Differential Gene Expression: Mechanisms of Cell Differentiation
• Chapter 4. Cell-to-Cell Communication: Mechanisms of Morphogenesis
• Chapter 5. Stem Cells: Their Potential and Their Niches PART II. GAMETOGENESIS AND FERTILIZATION: THE CIRCLE OF SEX
• Chapter 6. Sex Determination and Gametogenesis
• Chapter 7. Fertilization: Beginning a New Organism PART III. EARLY DEVELOPMENT: CLEAVAGE, GASTRULATION, AND AXIS FORMATION
• Chapter 8. Rapid Specification in Snails and Nematodes
• Chapter 9. The Genetics of Axis Specification in Drosophila
• Chapter 10. Sea Urchins and Tunicates: Deuterostome Invertebrates
• Chapter 11. Amphibians and Fish
• Chapter 12. Birds and Mammals PART IV. BUILDING WITH ECTODERM: THE VERTEBRATE NERVOUS SYSTEM AND EPIDERMIS
• Chapter 13. Neural Tube Formation and Patterning
• Chapter 14. Brain Growth
• Chapter 15. Neural Crest Cells and Axonal Specificity
• Chapter 16. Ectodermal Placodes and the Epidermis PART V. BUILDING WITH MESODERM AND ENDODERM: ORGANOGENESIS
• Chapter 17. Paraxial Mesoderm: The Somites and Their Derivatives
• Chapter 18. Intermediate and Lateral Plate Mesoderm: Heart, Blood, and Kidneys
• Chapter 19. Development of the Tetrapod Limb
• Chapter 20. The Endoderm: Tubes and Organs for Digestion and Respiration PART VI. POSTEMBRYONIC DEVELOPMENT
• Chapter 21. Metamorphosis: The Hormonal Reactivation of Development
• Chapter 22. Regeneration PART VII. DEVELOPMENT IN WIDER CONTEXTS
• Chapter 23. Development in Health and Disease: Birth, Defects, Endocrine Disruptors, and Cancer
• Chapter 24. Development and the Environment: Biotic, Abiotic, and Symbiotic Regulation of Development
• Chapter 25. Development and Evolution: Developmental Mechanisms of Evolutionary Change Glossary Author Index Subject Index.
• (source: Nielsen Book Data)

Thoroughly updated, streamlined, and enhanced with pedagogical features, the twelfth edition of Barresi and Gilbert's Developmental Biology engages students and empowers instructors to effectively teach both the stable principles and the newest front-page research of this vast, complex, and multi-disciplinary field. This much loved, well-illustrated, and remarkably well written textbook invigorates the classical insights of embryology with cutting edge material, and makes the most complex topics understandable to a new generation of students. Designed with the undergraduate student in mind, this new, streamlined edition now contains studies of plant development, expanded coverage of regeneration, over a hundred new and revised illustrations, and deeply integrated active learning resources that build on the text's enthusiasm and accuracy. This is a text designed to make students become excited about how animals and plants develop their complex bodies from simple origins. The new edition makes it easier to customize one's developmental biology course to the needs and interests of today's students, integrating the printed book with electronic interviews, videos, and tutorials. Michael J. F. Barresi brings his creativity and expertise as a teacher and as an artist of computer-mediated learning to the book, allowing the professor to use both standard and alternative ways of teaching animal and plant development.
(source: Nielsen Book Data)

"Cell biology is becoming an increasingly quantitative field, as technical advances mean researchers now routinely capture vast amounts of data. This handbook is an essential guide to the computational approaches, image processing and analysis techniques, and basic programming skills that are now part of the skill set of anyone working in the field"-- Provided by publisher

• Introduction. Natural versus Anthropogenic Disturbances. Disturbance: Resistance, Resilience, and Recovery. Disturbance Synergies. Synthesis.
• (source: Nielsen Book Data)

In contexts outside of ecology, the term "disturbance" carries a variety of negative connotations. Within ecology, however, disturbances are neither inherently negative nor positive for ecological systems; instead, their effects depend on the context, scale, and species involved. As ecologists better understand these context-dependencies, the field of disturbance ecology has matured, diversified, and become more complex and nuanced over the past several decades. Ecological Disturbance: Scale, Context, and Nature unites a collection of perspectives that weave together the topics of disturbance ecology and biological diversity. Chapters cover wildfire, disease, herbivory, surface mining, land-use conversions, and forest harvest, among numerous other natural and anthropogenic influences on ecosystems. The book begins with an introduction that reviews how thinking on perturbations and community organization has evolved over the last century, then explores how disturbances might be meaningfully categorized, and how biological diversity has been conceptualized. The introduction also explores the roles of scale and ecological context in disturbance outcomes, and reviews recent analytical and methodological advances relevant to disturbance ecology. The book then moves into forested ecosystems, where much of the early literature on disturbances arose, and focuses on scale-dependence, relationships of natural and anthropogenic disturbance, and recovery or successional trajectories. The next section focuses on emerging disturbances amidst global change, including non-native species, disease, and synergies with other disturbances. The book ends with a section on land-use disturbance, focusing on landscape pattern, resilience, and recovery dynamics. Throughout, the book's material spans a wide diversity of spatial and temporal scales, disciplines, taxa, and levels of ecological organization. This book may be used in a seminar course, as a compendium for disturbance ecology curricula that are at the interface of conceptual and applied ecology, and in other circumstances to illustrate how different authors have handled the various pragmatic challenges that arise in studies that ask broader questions. In an era of unprecedented global change, this book constitutes a valuable source for researchers, students, natural resource managers, and other conservation practitioners interested in delving deeper into disturbance ecology.
(source: Nielsen Book Data)
This book presents cascading effects of ecological disturbances on a multitude of ecosystem components. It includes agricultural development, large infrequent disturbances, forest harvesting, non-native grazing in deserts, ground transportation, powerline corridors, fires, urban ecology, disturbance in aquatic ecosystems, land-use dynamics on diversity, habitat fragmentation, sedimentation of wetlands, and contemporary climate change. The book facilitates users in understanding why disturbances are occurring while recommending mitigation and remediation strategies.
(source: Nielsen Book Data)

• Outline of the proof
• Regularization and continuation
• High norm estimate on Q2
• High norm estimate on Q3
• High norm estimate on Q1/0
• High norm estimate on Q1/[not equal]
• Coordinate system controls
• Enhanced dissipation estimates
• Sobolev estimates

The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re. They prove that for sufficiently regular initial data of size $\epsilon \leq c_0\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t \rightarrow \infty $. For times $t \gtrsim \mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of ""2.5 dimensional'' streamwise-independent solutions referred to as streaks.
(source: Nielsen Book Data)

• 1. The Science of Plant Ecology
• Part I. Individuals and their Environments
• 2. Photosynthesis and the Light
• 3. Water Relations and Thermal Energy Balance
• 4. Soil and Terrestrial Plant Life
• 5. Ecosystem Processes
• Part II. From Individuals to Populations
• 6. Individual Growth and Reproduction
• 7. Plant Life Histories
• 8. Population Structure, Growth, and Decline
• 9. Evolution : Processes and Change
• Part III. Population Interactions and Communities
• 10. Competition and Other Plant Interactions
• 11. Herbivory and Other Trophic Interactions
• 12. Community Diversity and Structure
• 13. Community Dynamics and Succession
• 14. Local Abundance, Diversity, and Rarity
• Part IV. From Landscapes to Planet Earth
• 15. Landscapes : Pattern and Scale
• 16. Climate, Plants, and Climate Change
• 17. Paleoecology
• 18. Biomes and Physiognomy
• 19. Global Biodiversity Patterns, Loss, and Conservation
• Glossary
• Index.

"The Ecology of Plants presents a comprehensive, engaging, and plant-focused treatment of ecology. Written for undergraduate students taking courses in plant ecology, the text links ecosystem function through an understanding of physiology, ecological theory, and climate change at multiple spatiotemporal scales. It covers subjects unique to plants, such as photosynthesis, soil interactions, and the ecology of plants. This third edition is substantially reorganized to reduce repetition and to bring important conceptual and subject material together that had been scattered in the previous edition. The authors have clarified and updated material throughout and deleted material that is outdated to emphasize newer topics and to shorten the discussion of topics that are still necessary background material but are emphasized less in current thinking in the field. Overall, The Ecology of Plants provides students with fundamental knowledge in plant sciences to address pressing issues ecosystems face in the age of a rapidly changing climate"-- Provided by publisher.

"A clear, concise guide to more than 130 edible and medicinal plants and funghi that grow wild along the west coast of British Columbia and the Pacific Northwest states. The coastal Pacific Northwest of North America is home to a multitude of edible and medicinal plant species, marine plants, and edible mushrooms. This compact, full-colour forager's guide offers clear photography, descriptions, safety tips and warnings, and traditional culinary and medicinal uses for every type of wild-growing flora species in the region, including: Bigleaf Maple--used to make a delicious west-coast maple syrup; Yellow Morel Mushroom--a favourite of foragers but not to be confused with the false morel, which is poisonous; Sea Asparagus--perfect in a salad or as an accompaniment to seafood; and Evening Primrose--an introduced species to the region, used to treat a variety of ailments. Practical, user-friendly, and safe, Edible and Medicinal Flora of the West Coast is an indispensable guide for beginner and experienced foragers alike."-- Provided by publisher

If our genes are, to a great extent, our destiny, then what would happen if mankind could engineer and alter the very essence of our DNA coding? Millions might be spared the devastating effects of hereditary disease or the challenges of disability, whether it was the pain of sickle-cell anemia to the ravages of Huntington's disease. But this power to "play God" also raises major ethical questions and poses threats for potential misuse. For decades, these questions have lived exclusively in the realm of science fiction, but as Kevin Davies powerfully reveals in his new book, this is all about to change

• Introduction
• The cohomology of GLn
• Analytic tools
• Boundary cohomology
• The strongly inner spectrum and applications
• Eisenstein cohomology
• L-functions
• Harish-Chandra modules over Z / by Günter Harder
• Archimedean intertwining operator / by Uwe Weselmann

"This monograph, which is intended for the Annals of Math Studies, presents an important new result that lies at the intersection of number theory, geometry, and representation theory. Accordingly, the book will serve as a key reference in these fields. Given its comprehensive methodological approach, the book will also provide a model for future work in these areas. This monograph builds on over forty years of ambitious research, initiated by Günter Harder in 1975. The results presented in this book extend well beyond previous research in the field, and are readily generalizeable"-- Provided by publisher

• Introduction Weak inference and weak existence Intermediate value theorem Fundamental theorem of algebra Hermite's theory Elimination of one variable Proof of the main theorems Bibliography/References.
• (source: Nielsen Book Data)

The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $ where $d$ is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign conditions and obtain as degree bounds for this certificate a tower of five exponentials, namely $ 2^{ 2^{\left(2^{\max\{2, d\}^{4^{k}}}+ s^{2^{k}}\max\{2, d\}^{16^{k}{\mathrm bit}(d)} \right)} } $ where $d$ is a bound on the degrees, $s$ is the number of polynomials and $k$ is the number of variables of the input polynomials.
(source: Nielsen Book Data)

• Chapter 1. The Genetic Code of Genes and Genomes
• Chapter 2. Transmission Genetics : Heritage from Mendel
• Chapter 3. The Chromosomal Basis of Heredity
• Chapter 4. Gene Linkage and Genetic Mapping
• Chapter 5. Human Chromosomes and Chromosome Behavior
• Chapter 6. DNA Structure, Replication, and Manipulation
• Chapter 7. The Genetics of Bacteria and Their Viruses
• Chapter 8. The Molecular Genetics of Gene Expression
• Chapter 9. Molecular Mechanisms of Gene Regulation
• Chapter 10. Genomics, Proteomics, and Genetic Engineering
• Chapter 11. The Genetic Control of Development
• Chapter 12. Molecular Mechanisms of Mutation and DNA Repair
• Chapter 13. Molecular Genetics of the Cell Cycle and Cancer
• Chapter 14. Molecular Evolution and Population Genetics
• Chapter 15. The Genetic Basis of Complex Traits
• Appendix A. Answers to Even-Numbered Problems
• Appendix B. Word Roots, Prefixes, Suffixes, and Combining Forms

Genetics. Simplified. Dan Hartl once again takes students on the exciting journey of learning about modern genetics in an updated seventh edition of Essential Genetics and Genomics. With carefully chosen topics to help students attain scientific competency, Dr. Hartl expertly covers the fundamentals of genetics from the perspective of genomics, including gene transmission, mutation, expression, and regulation. New and updated Stop & Think problems, Key Concept checks, and Human Connection feature boxes throughout chapters, along with extensive end-of-chapter review and study material that encourages students to analyze and apply new skills, further emphasize the text's focus on student success. The seamless integration of "molecular genetics" and "classical genetics" coupled with the copious practice and problem-solving opportunities make Essential Genetics and Genomics, Seventh Edition a unique resource for learning and applying genetics to our world. To ensure students are prepared for introductory genetics, a new online Readiness Assessment is available to complete prior to diving into the material. Students simply answer the online questions to obtain a personalized score with tailored areas to focus their review. Students are then directed to the color-coded Readiness Review section in the back of the text to practice the areas where study is needed. Sections include Math in Genetics, Science Prerequisites, and Thinking Like a Scientist. Never has learning genetics been so straightforward!.
(source: Nielsen Book Data)