Methods in Classical and Functional Analysis

Methods in Classical and Functional Analysis PDF Author: Einar Hille
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 506

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Book Description

Methods in Classical and Functional Analysis

Methods in Classical and Functional Analysis PDF Author: Einar Hille
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 506

Get Book Here

Book Description


Functional Analysis and Semi-groups

Functional Analysis and Semi-groups PDF Author: Einar Hille
Publisher: American Mathematical Soc.
ISBN: 0821810316
Category : Mathematics
Languages : en
Pages : 826

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Book Description
Early in 1952 it became obvious that a new printing would be needed, and new advances in the theory called for extensive revision. It has been completely rewritten, mostly by Phillips, and much has been added while keeping the existing framework. Thus, the algebraic tools play a major role, and are introduced early, leading to a more satisfactory operational calculus and spectral theory. The Laplace-Stieltjes transform methods, used by Hille, have not been replaced but rather supplemented by the new tools. - Foreword.

Analysis

Analysis PDF Author: Einar Hille
Publisher: Krieger Publishing Company
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 648

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Book Description


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations PDF Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600

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Book Description
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, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Analytic Function Theory

Analytic Function Theory PDF Author: Einar Hille
Publisher: American Mathematical Soc.
ISBN: 9780821829141
Category : Mathematics
Languages : en
Pages : 510

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Book Description
Emphasizes the conceptual and historical continuity of analytic function theory. This work covers topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It features chapters on majorization and on functions holomorphic in a half-plane.

Measure and Integral

Measure and Integral PDF Author: Richard Wheeden
Publisher: CRC Press
ISBN: 1482229536
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.

Analytic Function Theory, Volume I

Analytic Function Theory, Volume I PDF Author: Einar Hille
Publisher: American Mathematical Soc.
ISBN: 082187568X
Category : Mathematics
Languages : en
Pages : 322

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Book Description
Second Edition. This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the "canonical" topics (including elliptic functions, entire and meromorphic functions, as well as conformal mapping, etc.) and other topics nearer the expanding frontier of analytic function theory. In the latter category are the chapters on majorization and on functions holomorphic in a half-plane.

Biographical Memoirs

Biographical Memoirs PDF Author: National Academy of Sciences
Publisher: National Academies Press
ISBN: 0309049768
Category : Biography & Autobiography
Languages : en
Pages : 547

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Book Description
Biographic Memoirs: Volume 63 contains the biographies of deceased members of the National Academy of Sciences and bibliographies of their published works. Each biographical essay was written by a member of the Academy familiar with the professional career of the deceased. For historical and bibliographical purposes, these volumes are worth returning to time and again.

An Introduction to Complex Analysis

An Introduction to Complex Analysis PDF Author: O. Carruth McGehee
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 464

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Book Description
Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much-needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well-balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences. * Reviews the necessary calculus, bringing readers quickly up to speed on the material * Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples * Demystifies complex versus real differentiability for functions from the plane to the plane * Develops Cauchy's Theorem, presenting the powerful and easy-to-use winding-number version * Contains over 100 sophisticated graphics to provide helpful examples and reinforce important concepts

Ordinary Differential Equations in the Complex Domain

Ordinary Differential Equations in the Complex Domain PDF Author: Einar Hille
Publisher: Courier Corporation
ISBN: 9780486696201
Category : Mathematics
Languages : en
Pages : 514

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Book Description
Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.