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Unique Continuation Properties For Partial Differential Equations - Introduction To The Stability Estimates For Inverse Problems

by Sergio Vessella

~~131,84€~~ 105,47€ 20% OFF

 Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functional analysis, and partial differential equations with advanced topics like stability estimates in inverse problems and quantitative unique continuation.
ENGLISH

Selected Topics In Mathematical Analysis - Real Number System - Recurrences - Asymptotic Analysis - Integration In Finite Terms

by Liviu C. Florescu

~~72,86€~~ 58,29€ 20% OFF

 This book presents four topics related to undergraduate courses, typically not covered in standard lectures. Written in a clear and careful style, these four â€œpearlsâ€ aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods.
ENGLISH

Research Topics In Analysis, Volume Ii - Applications

by Nikolaos S. Papageorgiou e Shouchuan Hu

~~98,71€~~ 78,97€ 20% OFF

 <p>This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment.</p><p>The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium.</p><p>By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich field of mathematics.</p>
ENGLISH

Circles, Spheres And Spherical Geometry

by Hiroshi Maehara e Horst Martini

~~72,86€~~ 58,29€ 20% OFF

 The book then proceeds to explore orthogonal-cycle representation of quadrangulations, giving detailed discussions of the Brightwell-Scheinerman theorem (an extension of the Koebe-Andreev-Thurston theorem), Newtonâ€™s 13-balls-problem, Caseyâ€™s theorem (an extension of Ptolemyâ€™s theorem) and its generalizations.
ENGLISH

Introduction To C*-Algebras And Noncommutative Geometry

by Heath Emerson

~~66,24€~~ 52,99€ 20% OFF

 This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. As the book progresses, a little more mathematical maturity is required as the text discusses smooth manifolds, some differential geometry and elliptic operator theory, and K-theory.
ENGLISH

Elliptic Equations: An Introductory Course

by Michel Chipot

~~105,34€~~ 84,27€ 20% OFF

 The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements.
ENGLISH

Flows On Compact Surfaces - The Weil-Hedlund-Anosov Program

by Mary Vanderschoot e Nelson G. Markley

~~72,86€~~ 58,29€ 20% OFF

 The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally.
ENGLISH

Course On Holomorphic Discs

by Hansjorg Geiges e Kai Zehmisch

~~66,24€~~ 52,99€ 20% OFF

 This approach helps the reader to gain a thorough understanding of the powerful analytical tools needed for the study of more advanced topics in symplectic topology. This text can be used as the basis for a graduate course, and it is also immensely suitable for independentstudy.
ENGLISH

Research Topics In Analysis, Volume I - Grounding Theory

by Nikolaos S. Papageorgiou e Shouchuan Hu

~~72,86€~~ 58,29€ 20% OFF

 This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed.<div><br><div>Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. </div><div><br></div><div>Eachchapter of this volume finishes with a list of problems - handy for understanding and self-study - and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume.</div><div><br></div><div>By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.</div><div><br></div></div>
ENGLISH

Excursions In Multiplicative Number Theory

by Olivier Ramaré

~~66,24€~~ 52,99€ 20% OFF

 <p>This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors.</p><p>Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided "walks" invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin-Fanleb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at "higher ground", where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage.</p><p><i>Excursions in Multiplicative Number Theory</i> is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.</p>
ENGLISH

Guide To Spectral Theory - Applications And Exercises

by Christophe Cheverry e Nicolas Raymond

~~66,24€~~ 52,99€ 20% OFF

 This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics.
ENGLISH

Geometric Multivector Analysis - From Grassmann To Dirac

by Andreas Rosen

~~72,86€~~ 58,29€ 20% OFF

 <p></p><p>This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal tool for studying spacetime isometries and Möbius maps in arbitrary dimensions.</p><p>The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compact manifolds, one of the most celebrated achievements of 20<sup>th</sup>-century mathematics.</p><p>The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.</p><p> </p><p> </p><p></p>
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Differential Equations On Measures And Functional Spaces

by Vassili Kolokoltsov

~~92,74€~~ 74,19€ 20% OFF

 This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces.
ENGLISH

Superlinear Parabolic Problems - Blow-Up, Global Existence And Steady States

by Prof. Dr. Pavol Quittner e Prof. Dr. Philippe Souplet

~~105,34€~~ 84,27€ 20% OFF

 <p>This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology.<br></p><p>The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whosestudy requires new ideas. Many open problems are mentioned and commented.</p><p>The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.</p><p>The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.<br></p>
ENGLISH

Holomorphic Curves And Global Questions In Contact Geometry

by Casim Abbas e Helmut Hofer

~~79,49€~~ 63,59€ 20% OFF

 As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory.An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field.
ENGLISH

Algebra - From The Viewpoint Of Galois Theory

by Siegfried Bosch

~~98,71€~~ 78,97€ 20% OFF

 Galois.The study of algebraic equations has served as a motivating terrain for a large part of abstract algebra, and according to this, algebraic equations are visible as a guiding thread throughout the book.
ENGLISH

Introduction To Hamiltonian Mechanics

by Gerardo F. Torres Del Castillo

~~59,61€~~ 47,69€ 20% OFF

 This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics.
ENGLISH

Methods Of Nonlinear Analysis - Applications To Differential Equations

by Jaroslav Milota e Pavel Drabek

~~92,74€~~ 74,19€ 20% OFF

 This book introduces fundamental methods of nonlinear analysis, illustrating them in straightforward examples. The revised new edition offers evolutionary equations and differential equations on manifolds, and presents more advanced material in appendices.
ENGLISH

Introduction To The Qualitative Theory Of Differential Systems - Planar, Symmetric And Continuous Piecewise Linear Systems

by Antonio E. Teruel e Jaume Llibre

~~59,61€~~ 47,69€ 20% OFF

 The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines.
ENGLISH

Primer Of Real Analytic Functions

by Krantz e Parks

~~95,40€~~ 76,32€ 20% OFF

 The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux''s theorem is in Lefschetz''s quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
ENGLISH

L Goes To Plus Infinity

by Michel Chipot

~~59,61€~~ 47,69€ 20% OFF

 This book provides proofs of the asymptotic behavior of solutions to various important cases of linear and nonlinear problems in the theory of elliptic and parabolic partial differential equations. They will motivate and enable the reader to apply the theory to other problems in partial differential equations.
ENGLISH

Navier-Stokes Equations - An Elementary Functional Analytic Approach

by Hermann Sohr

~~92,74€~~ 74,19€ 20% OFF

 The primary objective of this monograph is to develop an elementary and self contained approach to the mathematical theory of a viscous incompressible fluid in a domain 0 of the Euclidean space ]Rn, described by the equations of Navier Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers'' convenience, in the first two chapters we collect without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain O. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n = 2,3 that are also most significant from the physical point of view. For mathematical generality, we will develop the lin earized theory for all n 2 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverse aspects available are spread out in the literature. However, the literature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.
ENGLISH

Elements Of Nonlinear Analysis

by Michel Chipot

~~59,61€~~ 47,69€ 20% OFF

 The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The pre sentation here is original and self contained, and helps to motivate all the rest of the book. Then we turn to some theoretical material in analysis that will be needed throughout (Chapter 2). The next six chapters are devoted to various aspects of elliptic problems. Starting with the basics of the linear theory, we introduce a first type of nonlinear problem that has today invaded the whole mathematical world: variational inequalities. In particular, in Chapter 6, we introduce a simple theory of regularity for nonlocal variational inequalities. We also attack the question of the existence, uniqueness and approximation of solutions of quasilinear and mono tone problems (see Chapters 5, 7, 8). The material needed to read these parts is contained in Chapter 2. The arguments are explained using the simplest possible examples.
ENGLISH

Topics In Hardy Classes And Univalent Functions

by James Rovnyak e Marvin Rosenblum

~~59,61€~~ 47,69€ 20% OFF

 These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.
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