Robert B. Burckel's Books

Classical Analysis in the Complex Plane

By: Robert B. Burckel

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Classical Analysis in the Complex Plane

By: Robert B. Burckel

This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis. The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject. “I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis. It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work. The care exercised in each of his proofs is a model of clarity in mathematical writing...Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz

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1123

Publisher

Springer Nature

Published Date

ISBN 10

1071619659

ISBN 13

9781071619650

Classical Analysis in the Complex Plane

By: Robert B. Burckel

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Classical Analysis in the Complex Plane

By: Robert B. Burckel

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1123

Publisher

Springer Nature

Published Date

ISBN 10

1071619659

ISBN 13

9781071619650

Characterizations of C* Algebras

the Gelfand Naimark Theorems

By: Robert Doran

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Characterizations of C* Algebras

the Gelfand Naimark Theorems

By: Robert Doran

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition , it makes an outstanding reference for physicists, research mathematicians in analysis,and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.

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Page Count

450

Publisher

Routledge

Published Date

ISBN 10

135146177X

ISBN 13

9781351461771

Interpolation of Operators

By: Colin Bennett,Robert C. Sharpley

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Interpolation of Operators

By: Colin Bennett,Robert C. Sharpley

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

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Page Count

489

Publisher

Academic Press

Published Date

ISBN 10

0080874487

ISBN 13

9780080874487

Differential Equations, Dynamical Systems, and Linear Algebra

By: Morris W. Hirsch,Robert L. Devaney,Stephen Smale

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Differential Equations, Dynamical Systems, and Linear Algebra

By: Morris W. Hirsch,Robert L. Devaney,Stephen Smale

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.

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Page Count

373

Publisher

Academic Press

Published Date

ISBN 10

0080873766

ISBN 13

9780080873763

Book's by Robert B. Burckel

Classical Analysis in the Complex Plane

Classical Analysis in the Complex Plane

Classical Analysis in the Complex Plane

Classical Analysis in the Complex Plane

Characterizations of C* Algebras

Characterizations of C* Algebras

Interpolation of Operators

Interpolation of Operators

Differential Equations, Dynamical Systems, and Linear Algebra

Differential Equations, Dynamical Systems, and Linear Algebra

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