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 Clay Mathematics Institute. Summer School (2014 : Madrid, Spain), author.
 Providence, RI : Published by the American Mathematical Society for the Clay Mathematics Institute, [2020]
 Description
 Book — xiv, 229 pages : illustrations ; 26 cm
 Summary

 Foreword / Yuri I. Manin
 Feynman integrals in mathematics and physics / Spencer Bloch
 Feynman integrals and periods in configuration spaces / Özgür Ceyhan and Matilde Marcolli
 Introductory course on ladic sheaves and their ramification theory on curves / Lars Kindler and Kay Rülling
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QC19.2 .C586 2014  Unavailable In process 
2. Beyond hyperbolicity [2019]
 Cambridge ; New York, NY : Cambridge University Press, 2019.
 Description
 Book — x, 231 pages : illustrations ; 23 cm.
 Summary

 Preface Part I. Lectures:
 1. Notes on coarse median spaces Brian H. Bowditch
 2. Semihyperbolicity Martin R. Bridson
 3. Acylindrically hyperbolic groups Benjamin Barrett Part II. Expository Articles:
 4. A survey on Morse boundaries and stability Matthew Cordes
 5. What is a hierarchically hyperbolic space? Alessandro Sisto Part III. Research Articles:
 6. A counterexample to questions about boundaries, stability, and commensurability Jason Behrstock
 7. A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes Indira Chatterji and Alexandre Martin
 8. Immutability is not uniformly decidable in hyperbolic groups Daniel Groves and Henry Wilton
 9. Sphere systems, standard form, and cores of products of trees Francesca Iezzi
 10. Uniform quasiconvexity of the disc graphs in the curve graphs Kate M. Vokes.
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QA685 .B49 2019  Unknown 
 Miranville, Alain, author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2019]
 Description
 Book — xiv, 216 pages ; 26 cm.
 Summary

This is the first book to present a detailed discussion of both classical and recent results on the popular CahnHilliard equation and some of its variants. The focus is on mathematical analysis of CahnHilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the CahnHilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn?Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
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QD509 .L54 M57 2019  Unknown 
 Galkowski, Jeffrey, author.
 Providence, RI : AMS, American Mathematical Society, [2019]
 Description
 Book — ix, 152 pages : illustrations ; 26 cm.
 Summary

 Introduction Preliminaries Meromorphic continuation of the resolvent Boundary layer operators Dynamical resonance free regions Existence of resonances for the Delta potential Appendix A. Model cases Appendix B. Semiclassical intersecting Lagrangian distributions Appendix C. The semiclassical MelroseTaylor parametrix Bibliography.
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Shelved by Series title NO.1248  Unknown 
 Dyatlov, Semyon, 1987 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — xi, 634 pages ; 27 cm.
 Summary

 Introduction Potential scattering: Scattering resonances in dimension one Scattering resonances in odd dimensions Geometric scattering: Black box scattering in $\mathbb{R}^n$ Scattering on hyperbolic manifolds Resonances in the semiclassical limit: Resonancefree regions Resonances and trapping Appendices: Notation Spectral theory Fredholm theory Complex analysis Semiclassical analysis Bibliography Index.
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QA329 .D93 2019  Unknown 
 Tokyo : Mathematical Society of Japan, [2019]
 Description
 Book — 218 pages : illustrations ; 24 cm.
 Summary

This is a proceedings volume of an international conference 'Operator Algebras and Mathematical Physics' held at Tohoku University in August, 2016. This meeting was the 9th MSJSeasonal Institute of the Mathematical Society of Japan. Twentyeight researchers gave lectures on a wide range of topics on operator algebras and their applications to mathematical physics. This volume contains one survey article and 11 research articles based on the lectures given. We recommend this to researchers and graduate students in related fields strongly.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America.
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QA1 .A3 V.80  Unknown 
 [Tokyo] : Mathematical Society of Japan, [2019]
 Description
 Book — 415 pages, 1 unnumbered leaf of plates : illustrations ; 24 cm
 Summary

 Symplectic geometry of unbiasedness and critical points of a potential / Alexey Bondal and Ilya Zhdanovskiy
 A brief survey of FJRW theory / Amanda E. Francis, Tyler J. Jarvis and Nathan Priddis
 Gamma conjecture via mirror symmetry / Sergey Galkin and Hiroshi Iritani
 On a conjecture by N. Takahashi on log mirror symmetry for the projective plane / Michel van Garrel
 Notes on the Hemisphere / Kentaro Hori and Mauricio Romo
 On Dubrovin's Frobenius structures on Hurwitz spaces / Sergei K. Lando
 CalabiYau geometry, primitive form and mirror symmetry / Si Li
 TQFT, homological algebra and elements of K. Saito's theory of Primitive form: an attempt of mathematical text written by mathematical physicist / Andrey Losev
 The phase factors in singularity theory / Todor Milanov
 On the homological algebra of relative symplectic geometry / Daniel Pomerleano
 The LandauGinzburg/CalabiYau correspondence and the mirror quintic / Nathan Priddis
 Quantum invariants via tautological relations / Yefeng Shen
 From a class of CalabiYau dg algebras to Frobenius manifolds via primitive forms / Atsushi Takahashi
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QA1 .A3 V.83  Unknown 
 Farmelo, Graham, author.
 First edition.  New York : Basic Books, 2019.
 Description
 Book — 321 pages : illustrations, portraits ; 25 cm
 Summary

 Prologue: listening to the universe
 Mathematics drives away the cloud
 Shining the torch on electricity and magnetism
 Shining the torch on gravity again
 Quantum mathematics
 The long divorce
 Revolution
 Bad company?
 Jokes and magic lead to the string
 Strung together
 Thinking their way to the Millenium
 Diamonds in the rough
 The best possible times.
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QC6 .F3375 2019  Unknown 
 AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry (2016 : Seattle, Wash.)
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Description
 Book — vii, 222 pages ; 26 cm.
 Summary

 J. Russell and A. Wootton, A lower bound for the number of finitely maximal $C_p$actions on a compact oriented surface S. A. Broughton, Galois action on regular dessins d'enfant with simple group action D. Swinarski, Equations of Riemann surfaces with automorphisms R. Hidalgo and T. Shaska, On the field of moduli of superelliptic curves L. Beshaj, Minimal integral Weierstrass equations for genus 2 curves L. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska, Rational points in the moduli space of genus two C. Magyar and U. Whitcher, Strong arithmetic mirror symmetry and toric isogenies A. Kumar and M. Kuwata, Inose's construction and elliptic $K$3 surfaces with MordellWeil rank 15 revisited C. M. Shor, Higherorder Weierstrass weights of branch points on superelliptic curves E. Previato, Poncelet's porism and projective fibrations A. Levin, Extending Runge's method for integral points D. Joyner and T. Shaska, Selfinversive polynomials, curves, and codes A. Deopurkar and A. Patel, Syzygy divisors on Hurwitz spaces.
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QA242.5 .A4827 2016  Unknown 
 Mechanik. English
 Scheck, Florian, 1936 author.
 Sixth edition.  Berlin, Germany : Springer, [2018]
 Description
 Book — xvii, 591 pages : illustrations ; 24 cm.
 Summary

 Elementary Newtonian Mechanics. The Principles of Canonical Mechanics. The Mechanics of Rigid Bodies. Relativistic Mechanics. Geometric Aspects of Mechanics. Stability and Chaos. Continuous Systems. Exercises. Solution of Exercises. Appendix.
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TA350 .S35313 2018  Unknown 
 Kalnins, E. G., author.
 Bristol, UK : IOP Publishing, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations ; 27 cm.
 Summary

Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an uptodate presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.
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QA377 .K357 2018  Unknown 
 Milotti, Edoardo, author.
 San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, 2018. Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations (some color) ; 26 cm.
 Summary

 Preface Acknowledgments Author biography
 1. Models of Nature
 2. Randomness
 3. Bayesian and frequentist approaches to scientific inference
 4. The principles of inferential statistics
 5. Parametric inference
 6. Prior distributions and equiprobable events in the physical sciences
 7. Conclusionsthe statistical nature of scientific knowledge Appendix AShort review of some basic concepts Appendix BAbbreviations.
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QC20 .M557 2018  Unknown 
 Cham, Switzerland : Birkhauser, [2017]
 Description
 Book — 364 pages : illustrations (some color) ; 25 cm.
 Summary

 Adiabatic limits of coassociative KovalevLefschetz fibrations. Ideal webs, moduli spaces of local systems, and 3d CalabiYau categories. Spectral sequences for cyclic homology. Derived varieties of complexes and Kostant's theorem for gl(mjn). Higher symmetry and gapped phases of gauge theories. Constructing Buildings and Harmonic Maps. Cohomological Hall algebras, semicanonical bases and DonaldsonThomas invariants for 2dimensional CalabiYau categories. Fukaya A1structures associated to Lefschetz fibrations. II.
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QA155.2 .A35 2017  Unknown 
 Serov, Valery, author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — xi, 534 pages : illustrations ; 24 cm.
 Summary

 Fourier series and the discrete fourier transform
 Introduction
 Formulation of fourier series
 Fourier coefficients and their properties
 Convolution and parseval's equality
 Fejér means of fourier series : uniqueness of the fourier series
 The riemannlebesgue lemma
 The fourier series of a squareintegrable function : the rieszfischer theorem
 Besov and holder spaces
 Absolute convergence : bernstein and peetre theorems
 Dirichlet kernel : pointwise and uniform convergence
 Formulation of the discrete fourier transform and its properties
 Connection between the discrete fourier transform and the fourier transform
 Some applications of the discrete fourier transform
 Applications to solving some mod el equations
 The onedimensional heat equation
 The onedimensional wave equation
 The laplace equation in a rectangle and in a disk
 Fourier transform and distributions
 Introduction
 The fourier transform in schwartz space
 The fourier transform in LP(RN), 1 < ̲p < ̲2
 Tempered distributions
 Convolutions in S and S¹
 Sobolev spaces
 Sobolev spaces on bounded domains
 Homogeneous distributions
 Fundamental solution of the helmholtz operator
 Estimates for the laplacian and hamiltonian
 Operator theory and integral equations
 Introduction
 Inner product spaces and hilbert spaces
 Symmetric operators in hilbert spaces
 John von neumann's spectral theorem
 Spectra of selfadjoint operators
 Quadratic forms : friedrichs extension
 Elliptic differential operators
 Spectral functions
 The schrodinger operator
 The magnetic schrodinger operator
 Integral operators with weak singularities : integral equations of the first and second kinds
 Volterra and singular integral equations
 Approximate methods
 Partial differential equations
 Introduction
 Local existence theory
 The laplace operator
 The dirichlet and neumann problems
 Layer potentials
 Elliptic boundary value problems
 The direct scattering problem for the helmholtz equation
 Some inverse scattering problems for the schrodinger operator
 The heat operator
 The wave operator
 References
 Index.
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QA404 .S47 2017  Unknown 
 Clelland, Jeanne N., 1970 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xvi, 414 pages : illustrations ; 26 cm.
 Summary

 * Background material: Assorted notions from differential geometry* Differential forms* Curves and surfaces in homogeneous spaces via the method of moving frames: Homogeneous spaces* Curves and surfaces in Euclidean space* Curves and surfaces in Minkowski space* Curves and surfaces in equiaffine space* Curves and surfaces in projective space* Applications of moving frames: Minimal surfaces in $\mathbb{E}^3$ and $\mathbb{A}^3$* Pseudospherical surfaces in Backlund's theorem* Two classical theorems* Beyond the flat case: Moving frames on Riemannian manifolds: Curves and surfaces in elliptic and hyperbolic spaces* The nonhomogeneous case: Moving frames on Riemannian manifolds* Bibliography* Index.
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QA433 .C564 2017  Unknown 
 Straughan, B. (Brian), author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — ix, 208 pages : illustrations (some color) ; 24 cm.
 Summary

 Introduction. Models for Double and Triple Porosity. Double Porosity and Voids. Comparison of Porosity and Voids Theories. Uniqueness and Stability by Energy Methods. Uniqueness Without Definiteness Conditions. Continuous Dependence in MultiPorosity Elasticity. Waves in Double Porosity Elasticity. Acceleration Waves in Double Voids. Double Porosity and Second Sound.
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TA418.9 .P6 S77 2017  Unknown 
 Ball, John M., author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — ix, 145 pages : illustrations (some color) ; 24 cm.
 Summary

 Preface to CIME lecture notes / John M. Ball, Eduard Feireisl, Felix Otto
 Liquid crystals and their defects / John M. Ball
 Mathematical thermodynamics of viscous fluids / Eduard Feireisl
 Rigorous bounds on scaling laws in fluid dynamics / Felix Otto, Steffen Pottel, and Camilla Nobili.
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Shelved by Series title V.2200  Unknown 
 Figalli, Alessio, 1984 author.
 Zürich : European Mathematical Society, [2017]
 Description
 Book — x, 200 pages : illustrations ; 24 cm.
 Summary

"The MongeAmpère equation is one of the most important partial differential equations, appearing in many problems in analysis and geometry. This monograph is a comprehensive introduction to the existence and regularity theory of the MongeAmpère equation and some selected applications; the main goal is to provide the reader with a wealth of results and techniques he or she can draw from to understand current research related to this beautiful equation. The presentation is essentially selfcontained, with an appendix wherein one can find precise statements of all the results used from different areas (linear algebra, convex geometry, measure theory, nonlinear analysis, and PDEs). This book is intended for graduate students and researchers interested in nonlinear PDEs: explanatory figures, detailed proofs, and heuristic arguments make this book suitable for selfstudy and also as a reference."  Back cover.
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QA377 .F54 2017  Unknown 
19. Noncommutative deformation theory [2017]
 Eriksen, Eivind, author.
 Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]
 Description
 Book — xvi, 242 pages ; 27 cm.
 Summary

 Classical Deformation Theory. Noncommutative Algebras and Simple Modules. Noncommutative Deformation Theory. The Noncommutative Phase Space. A Cosmological Toy Model. Moduli of Endomorphisms of Rank Three.
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QA564 .E75 2017  Unknown 
 Danielli, Donatella, 1966 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 103 pages ; 26 cm.
 Summary

 IntroductionNotation and preliminariesKnown existence and regularity resultsClasses of solutionsEstimates in Gaussian spacesThe generalized frequency functionExistence and homogeneity of blowupsHomogeneous global solutionsOptimal regularity of solutionsClassification of free boundary pointsFree boundary: Regular setFree boundary: Singular setWeiss and Monneau type monotonicity formulasStructure of the singular set}Appendix A. Estimates in Gaussian spaces: ProofsAppendix B. Parabolic Whitney's extension theoremBibliography.
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Shelved by Series title NO.1181  Unknown 