# Search Results for "applied-functional-analysis-applications-to-mathematical-physics-v-108-applied-mathematical-sciences"

## Applied Functional Analysis

*Applications to Mathematical Physics*

**Author**: Eberhard Zeidler**Publisher:**Springer Science & Business Media**ISBN:**1461208157**Category:**Mathematics**Page:**481**View:**4649

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

## Applied Functional Analysis

**Author**: D.H. Griffel**Publisher:**Courier Corporation**ISBN:**0486141322**Category:**Mathematics**Page:**390**View:**6453

This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.

## Full-3D Seismic Waveform Inversion

*Theory, Software and Practice*

**Author**: Po Chen,En-Jui Lee**Publisher:**Springer**ISBN:**3319166042**Category:**Science**Page:**513**View:**5038

This book introduces a methodology for solving the seismic inverse problem using purely numerical solutions built on 3D wave equations and which is free of the approximations or simplifications that are common in classical seismic inversion methodologies and therefore applicable to arbitrary 3D geological media and seismic source models. Source codes provided allow readers to experiment with the calculations demonstrated and also explore their own applications.

## Some Applications of Functional Analysis in Mathematical Physics

**Author**: S. L. Sobolev**Publisher:**American Mathematical Soc.**ISBN:**9780821898321**Category:****Page:**286**View:**9957

Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index

## An Introduction to Semiflows

**Author**: Albert J. Milani,Norbert J. Koksch**Publisher:**CRC Press**ISBN:**9781420035117**Category:**Mathematics**Page:**386**View:**2165

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of dynamical systems generated by well-known physical models. In particular, they consider in full detail two particular PDEEs: a semilinear version of the heat equation and a corresponding version of the dissipative wave equation. These examples illustrate the most important features of the theory of semiflows and provide a sort of template that can be applied to the analysis of other models. The material builds in a careful, gradual progression, developing the background needed by newcomers to the field, and culminating in a more detailed presentation of the main topics than found in most sources. The authors' approach to and treatment of the subject builds the foundation for more advanced references and research on global attractors, exponential attractors, and inertial manifolds.

## Analysis And Mathematical Physics

**Author**: Bullett Shaun,Fearn Tom,Smith Frank**Publisher:**World Scientific**ISBN:**1786341018**Category:**Mathematics**Page:**248**View:**9728

This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics. Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

## Mathematical methods for wave propagation in science and engineering

*Volume 1: Fundamentals*

**Author**: Mario Durán**Publisher:**Ediciones UC**ISBN:**9561413140**Category:**Mathematics**Page:**243**View:**506

This series of books deals with the mathematical modeling and computational simulation of complex wave propagation phenomena in science and engineering. This first volume of the series introduces the basic mathematical and physical fundamentals, and it is mainly intended as a reference guide and a general survey for scientists and engineers. It presents a broad and practical overview of the involved foundations, being useful as much in industrial research, development, and innovation activities, as in academic labors.

## Mathematical Physics in Mathematics and Physics

*Quantum and Operator Algebraic Aspects*

**Author**: Roberto Longo**Publisher:**American Mathematical Soc.**ISBN:**0821828142**Category:**Science**Page:**451**View:**9311

The beauty and the mystery surrounding the interplay between mathematics and physics is captured by E. Wigner's famous expression, ``The unreasonable effectiveness of mathematics''. We don't know why, but physical laws are described by mathematics, and good mathematics sooner or later finds applications in physics, often in a surprising way. In this sense, mathematical physics is a very old subject--as Egyptian, Phoenician, or Greek history tells us. But mathematical physics is a very modern subject, as any working mathematician or physicist can witness. It is a challenging discipline that has to provide results of interest for both mathematics and physics. Ideas and motivations from both these sciences give it a vitality and freshness that is difficult to find anywhere else. One of the big physical revolutions in the twentieth century, quantum physics, opened a new magnificent era for this interplay. With the appearance of noncommutative analysis, the role of classical calculus has been taken by commutation relations, a subject still growing in an astonishing way. A good example where mathematical physics showed its power, beauty, and interdisciplinary character is the Doplicher-Haag-Roberts analysis of superselection sectors in the late 1960s. Not only did this theory explain the origin of statistics and classify it, but year after year, new connections have merged, for example with Tomita-Takesaki modular theory, Jones theory of subfactors, and Doplicher-Roberts abstract duality for compact groups. This volume contains the proceedings of the conference, ``Mathematical Physics in Mathematics and Physics'', dedicated to Sergio Doplicher and John E. Roberts held in Siena, Italy. The articles offer current research in various fields of mathematical physics, primarily concerning quantum aspects of operator algebras.

## Mathematical Methods in Science and Engineering

**Author**: Selçuk S. Bayin**Publisher:**John Wiley & Sons**ISBN:**111942545X**Category:**Education**Page:**864**View:**2100

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

## The Cumulative Book Index

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**American literature**Page:**N.A**View:**9786

## Applications of functional analysis in mathematical physics

**Author**: Sergeĭ Lʹvovich Sobolev**Publisher:**Amer Mathematical Society**ISBN:**N.A**Category:**Mathematics**Page:**239**View:**3062

## Functional Analysis for Physics and Engineering

*An Introduction*

**Author**: Hiroyuki Shima**Publisher:**CRC Press**ISBN:**1482223031**Category:**Mathematics**Page:**285**View:**9092

This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vector spaces, tensor spaces, Lebesgue integrals, and operators, to name a few. Two central issues—the theory of Hilbert space and the operator theory—and how they relate to quantum physics are covered extensively. Each chapter explains, concisely, the purpose of the specific topic and the benefit of understanding it. Researchers and graduate students in physics, mechanical engineering, and information science will benefit from this view of functional analysis.

## Semilinear Schrödinger Equations

**Author**: Thierry Cazenave**Publisher:**American Mathematical Soc.**ISBN:**0821833995**Category:**Mathematics**Page:**323**View:**9791

The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, in particular because of its applications to nonlinear optics. It is also a good model dispersive equation, since it is often technically simpler than other dispersive equations, such as the wave or Korteweg-de Vries equation. Particularly useful tools in studying the nonlinear Schrodinger equation are energy and Strichartz's estimates. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It examines both problems of local nature (local existence of solutions, uniqueness, regularity, smoothing effects) and problems of global nature (finite-time blowup, global existence, asymptotic behavior of solutions). The methods presented apply in principle to a large class of dispersive semilinear equations. Basic notions of functional analysis (Fourier transform, Sobolev spaces, etc.) are recalled in the first chapter, but the book is otherwise mostly self-contained.

## Functional Analysis

*An Introductory Course*

**Author**: Sergei Ovchinnikov**Publisher:**Springer**ISBN:**3319915126**Category:**Mathematics**Page:**205**View:**4509

This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Bounded Theory, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text. Functional Analysis offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.

## Functional Analysis

**Author**: Peter D. Lax**Publisher:**John Wiley & Sons**ISBN:**1118626745**Category:**Mathematics**Page:**608**View:**4607

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. * Includes an appendix on the Riesz representation theorem.

## Mathematics and Materials

**Author**: Mark J. Bowick,David Kinderlehrer,Govind Menon,Charles Radin**Publisher:**American Mathematical Soc.**ISBN:**1470429195**Category:**Convex and discrete geometry -- Discrete geometry -- Quasicrystals, aperiodic tilings**Page:**327**View:**9104

A co-publication of the AMS, IAS/Park City Mathematics Institute, and Society for Industrial and Applied Mathematics Articles in this volume are based on lectures presented at the Park City summer school on “Mathematics and Materials” in July 2014. The central theme is a description of material behavior that is rooted in statistical mechanics. While many presentations of mathematical problems in materials science begin with continuum mechanics, this volume takes an alternate approach. All the lectures present unique pedagogical introductions to the rich variety of material behavior that emerges from the interplay of geometry and statistical mechanics. The topics include the order-disorder transition in many geometric models of materials including nonlinear elasticity, sphere packings, granular materials, liquid crystals, and the emerging field of synthetic self-assembly. Several lectures touch on discrete geometry (especially packing) and statistical mechanics. The problems discussed in this book have an immediate mathematical appeal and are of increasing importance in applications, but are not as widely known as they should be to mathematicians interested in materials science. The volume will be of interest to graduate students and researchers in analysis and partial differential equations, continuum mechanics, condensed matter physics, discrete geometry, and mathematical physics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price. NOTE: This discount does not apply to volumes in this series co-published with the Society for Industrial and Applied Mathematics (SIAM).

## American Book Publishing Record

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**American literature**Page:**N.A**View:**5131

## Zeitschrift für Analysis und ihre Anwendungen

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**Mathematical analysis**Page:**N.A**View:**2282

## Subject Guide to Books in Print

*An Index to the Publishers' Trade List Annual*

**Author**: N.A**Publisher:**N.A**ISBN:**N.A**Category:**American literature**Page:**N.A**View:**1714