Applied Functional Analysis Second Edition

This edition also provides many more exercises as well as a solutions manual for qualifying instructors.

Applied Functional Analysis  Second Edition

Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition Completely revised section on lim sup and lim inf New discussions of connected sets, probability, Bayesian statistical inference, and the generalized (integral) Minkowski inequality New sections on elements of multilinear algebra and determinants, the singular value decomposition theorem, the Cauchy principal value, and Hadamard finite part integrals New example of a Lebesgue non-measurable set Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way.

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Applied Functional Analysis, Second Edition
Language: en
Pages: 596
Authors: J. Tinsley Oden, Leszek Demkowicz
Categories: Mathematics
Type: BOOK - Published: 2010-03-02 - Publisher: CRC Press

Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and
Applied Functional Analysis
Language: en
Pages: 520
Authors: Jean-Pierre Aubin
Categories: Mathematics
Type: BOOK - Published: 2011-09-30 - Publisher: John Wiley & Sons

A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied FunctionalAnalysis was published, there has been an explosion in the numberof books on functional analysis. Yet none of these offers theunique perspective of this new edition. Jean-Pierre Aubin updateshis popular reference on functional
Applied Functional Analysis
Language: en
Pages: 373
Authors: Alampallam V. Balakrishnan
Categories: Mathematics
Type: BOOK - Published: 2012-12-12 - Publisher: Springer

In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is
Applied Functional Analysis Second Edition - Solutions Manual
Language: en
Pages:
Authors: Taylor & Francis Group
Categories: Mathematics
Type: BOOK - Published: 2010-03-02 - Publisher:

To better prepare students to learn the variational theory of partial differential equations and numerical analysis, this textbook presents mathematical foundations leading to classical results in functional analysis. Significantly revised and expanded, this second edition provides new examples, new exercises, and a new solutions manual for qualifying instructors. Each chapter
Functional Analysis in Mechanics
Language: en
Pages: 310
Authors: Leonid P. Lebedev, Iosif I. Vorovich, Michael J. Cloud
Categories: Mathematics
Type: BOOK - Published: 2012-10-23 - Publisher: Springer Science & Business Media

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical