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Functional Analysis, Sobolev Spaces and Partial Differential Equations
by
Brezis, Haim
(Paperback - English - 9780387709130)
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Ro ..
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Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
by
Courant, Richard
(Paperback - English - 9780486445526)
Mathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that balances the individuality of mathematical objects with the generality of mathematical methods. br Beginning with a discussion of Dirichlet's principle and the boundary-value problem of potential theory, the text proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem. Succeeding chapters explore the general problem of Douglas and conformal mapping of multiply connected domains, c ..
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A First Course in Functional Analysis
by
Davis, Martin
(Paperback - English - 9780486499833)
This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics. br A self-contained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. Numerous problems appear throughout the book. ..
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Introduction to Analysis with Complex Numbers
by
Swanson, Irena
(Paperback - English - 9789811227691)
This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are var ..
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Einleitung in die Theorie der Elliptischen Funktionen
by
Joseph Bobek, Karl
(Paperback - German - 9789356788916)
Einleitung in die Theorie der Elliptischen Funktionen wurde in der gesamten Menschheitsgeschichte als bedeutendes Werk angesehen, und um sicherzustellen, dass dieses Werk niemals verloren geht, haben wir Schritte unternommen, um seine Erhaltung zu gewährleisten, indem wir dieses Buch in einem zeitgemä en Format für aktuelle und zukünftige Generationen neu veröffentlichen. Dieses gesamte Buch hat wurden neu abgetippt, neu gestaltet und neu formatiert. Da diese Bücher nicht aus gescannten Kopien bestehen, ist der Text lesbar und klar. ..
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Attacking Problems in Logarithms and Exponential Functions
by
Kahn, David S.
(Paperback - English - 9780486793467)
This original volume offers a concise, highly focused review of what high school and beginning college students need to know in order to solve problems in logarithms and exponential functions. Numerous rigorously tested examples and coherent to-the-point explanations, presented in an easy-to-follow format, provide valuable tools for conquering this challenging subject. br The treatment is organized in a way that permits readers to advance sequentially or skip around between chapters. An essential companion volume to the author's Attacking Trigonometry Problems, this book will equip students with the skills they will need to successfully approach the problems i ..
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A First Look at Numerical Functional Analysis
by
Sawyer, W. W.
(Paperback - English - 9780486478821)
Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. br Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic opera ..
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New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative: Chapman University, November 2019
by
Alpay, Daniel
Peretz, Ronen
Shoikhet, David
(Paperback - English - 9783030764753)
Editorial Introduction.- On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions.- Differential Subordinations in Harmonic Mappings.- The Segal-Bargmann Transform in Clifford Analysis.- On the CarathƩodory-FejƩr interpolation problem for Stieltjes functions.- Harmonic Analysis of some arithmetical functions.- Symmetric measures, continuous networks, and dynamics.- Multi Variable Semicircular Processes From - Homomorphisms and Operators.- Representation formulae for the determinant in a neighborhood of the identity.- Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorith ..
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Toeplitz Operators and Random Matrices: In Memory of Harold Widom
by
Basor, Estelle
Bƶttcher, Albrecht
Ehrhardt, Torsten
(Hardcover - English - 9783031138508)
PartHarold Widom's Life, Work, and Last Paper .- Biography of Harold Widom.- Domain Walls in the Heisenberg-Ising Spin-1 2 Chain.- Harold Widom's Contributions to the Spectral Theory and Asymptotics of Toeplitz Operators and Matrices.- Visualizations of Two Functions Emerging in Connection with Toeplitz Determinants.- Part II Personal Notes .- A Remarkable Advisor, Mentor, and Friend.- My Encounters with Harold Widom.- Memories of Harold Widom.- Personal Reflection on Harold Widom.- Part III Invited Contributions.- Loops in SU (2) and Factorization, II.- Openness of Regular Regimes of Complex Random Matrix Models.- Focusing Nonlocal Nonlinear Schrƶdinger Equat ..
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5.064.000
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ThƩorie Spectrale Et MƩcanique Quantique
by
Lewin, Mathieu
(Paperback - French - 9783030934354)
Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie. br Cet ouvrage peut aussi servir d'introduction mathématique à la mécanique quantique. De multiples exemples physiques servent ainsi à illustrer et motiver les théorèmes plus abstraits. Les deux derniers chapitres présentent des résultats plus récents concernant l'équation de Schrödinger pour les atomes, les molécules et les solides. Aucune connaissance ..
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1.328.000
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An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
by
Kalajdzievski, Sasho
Krepski, Derek
Kalajdzievski, Damjan
(Hardcover - English - 9781138553460)
This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems, etc. ..
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Lectures on the Theory of Elliptic Functions, Volume 1
by
Hancock, Harris
(Hardcover - English - 9781357060138)
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. br br This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyr ..
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Functional Analysis: Introduction to Further Topics in Analysis
by
Stein, Elias M.
Shakarchi, Rami
(Hardcover - English - 9780691113876)
This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The conclu ..
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Special Order
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Functional Analysis
by
Lax
(Hardcover - English - 9780471556046)
Funktionalanalysis für Fortgeschrittene: Hier erfahren Sie alles über Topologie, lineare Operatoren, die Gelfandsche Theorie kommutativer Banach-Algebren und vieles andere. Mit durchgerechneten Beispielen und Ćbungsaufgaben! ..
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Applied Nonlinear Functional Analysis: An Introduction
by
Papageorgiou, Nikolaos S.
Winkert, Patrick
(Paperback - English - 9783110516227)
The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. strong Contents br strong Basic Topology br Measure Theory br Basic Functional Analysis br Banach Spaces of Functions and Measures br Convex Functions - Nonsmooth Analysis br Nonlinear Analysis ..
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Excel: Beginner's Crash Course to Microsoft Excel
by
Clark, James
(Paperback - English - 9781537219622)
EXCELBEGINNER'S CRASH COURSE TO MICROSOFT EXCELDo you want to know about the functionality of Microsoft Excel and figure out how to use it?As a novice, you will get to know all the steps taken to make well use of your Microsoft Excel. This book will take you through the essentials of the Excel process; set up your spreadsheet, capture and structure data efficiently. It is a well-documented book suitable for anyone who is looking to learn Excel and wants to increase their productivity and efficiency, both at work and home.It will also help you comprehend spreadsheets basics, all formulas and functions in Microsoft Excel.It as an easy to understand book, Microsoft ..
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An Elementary Treatise on Fourier Series
by
Byerly, William Elwood
(Paperback - English - 9789393971708)
CHAPTER I. Introduction CHAPTER II. Development in Trigonometric Series CHAPTER III. Convergence of Fourier's Series CHAPTER IV. Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series CHAPTER V. Zonal Harmonics CHAPTER VI. Spherical Harmonics CHAPTER VII. Cylindrical Harmonics (Bessel's Functions) CHAPTER VIII. Laplace's Equation in Curvilinear Co]ordinates. Ellipsoidal Harmonic CHAPTER IX. Historical Summary ..
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Excel 2021
by
Simonds, Jiayi
(Paperback - English - 9798201437633)
strong Description strong strong Want to learn Microsoft Excel and move the work-from-home job chances to the next level? strong strong Are you looking for a simple way to reformat and reorder data in graphs, charts, and tables? strong strong Do you want to acquire new skills and learn more about what MS 2021 has in plan for you? strong strong Then this book is the best for you, keep on reading. strong Microsoft Excel is a spreadsheet application developed by Microsoft that enables users to coordinate, format, and analyze information using formulas. This package is used in the Microsoft Office suite and is consistent with most Office programs. Mi ..
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Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics
by
Steeb, Willi-Hans
Mathis, Wolfgang
(Paperback - English - 9789811246838)
This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included. ..
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Functional Analysis: Fundamentals and Applications
by
Willem, Michel
(Hardcover - English - 9783031091483)
This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis in relation to integration and differentiation. Star ..
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