Skip to main content
  • Book
  • © 1999

Handbook of Complex Variables

Birkhäuser

Authors:

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxiv
  2. The Complex Plane

    • Steven G. Krantz
    Pages 1-17
  3. Complex Line Integrals

    • Steven G. Krantz
    Pages 19-29
  4. Applications of the Cauchy Theory

    • Steven G. Krantz
    Pages 31-39
  5. Isolated Singularities and Laurent Series

    • Steven G. Krantz
    Pages 41-68
  6. The Argument Principle

    • Steven G. Krantz
    Pages 69-78
  7. The Geometric Theory of Holomorphic Functions

    • Steven G. Krantz
    Pages 79-88
  8. Harmonic Functions

    • Steven G. Krantz
    Pages 89-101
  9. Infinite Series and Products

    • Steven G. Krantz
    Pages 103-115
  10. Applications of Infinite Sums and Products

    • Steven G. Krantz
    Pages 117-122
  11. Analytic Continuation

    • Steven G. Krantz
    Pages 123-141
  12. Rational Approximation Theory

    • Steven G. Krantz
    Pages 143-147
  13. Special Classes of Holomorphic Functions

    • Steven G. Krantz
    Pages 149-154
  14. Special Functions

    • Steven G. Krantz
    Pages 155-162
  15. Applications that Depend on Conformal Mapping

    • Steven G. Krantz
    Pages 163-194
  16. Transform Theory

    • Steven G. Krantz
    Pages 195-217
  17. Computer Packages for Studying Complex Variables

    • Steven G. Krantz
    Pages 219-229
  18. Back Matter

    Pages 231-290

About this book

This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. It is not a book of mathematical theory. It is instead a book of mathematical practice. All the basic ideas of complex analysis, as well as many typical applica­ tions, are treated. Since we are not developing theory and proofs, we have not been obliged to conform to a strict logical ordering of topics. Instead, topics have been organized for ease of reference, so that cognate topics appear in one place. Required background for reading the text is minimal: a good ground­ ing in (real variable) calculus will suffice. However, the reader who gets maximum utility from the book will be that reader who has had a course in complex analysis at some time in his life. This book is a handy com­ pendium of all basic facts about complex variable theory. But it is not a textbook, and a person would be hard put to endeavor to learn the subject by reading this book.

Reviews

"This modern book can be warmly recommended to mathematicians as well as to users of applied texts in complex analysis; in particular it will be useful to students preparing for an examination in the subject."   —Mathematical Reviews

"Creating a 'handbook' such as this is an interesting concept, and to this reviewer’s knowledge this is the only one of its type in complex analysis. . . . This book may well be timely and useful to the readers it is intended for: working scientists, students, and engineers . . . The topics contained are quite broad . . .  It is noteworthy that a glossary is included that provides the reader with a useful guide to terminology and basic concepts. Other valuable features are: (1) a discussion of the available computer packages that can do some complex analysis such as Maple and Mathematica, (2) a pictorial catalog of conformal well-known maps, and (3) tables of Laplace transforms."   —SIAM Review

"Krantz...has two audiences in mind for this handbook: first, the working scientist, with no background in complex analysis, who seeks a specific result to solve a specific problem; and second, the mathematician or scientist who once studied complex analysis and now seeks a compendium of results as an aid to memory. Though Krantz warns that this handbook contains no theory...and thus cannot serve as a textbook, the undergraduate student of complex analysis will nevertheless find certain sections replete with instructive examples (e.g., applications of contour integrations to definite integrals and sums; conformal mapping). Also, the glossary of terminology and notation should offer a useful aid to study.... Students should also see the chapter devoted to surveying computer packages for the study of complex variables. In an undergraduate library, this book can be counted as a supplement to an otherwise strong collection in functions of a single complexvariable."   —Choice

"This handbook of complex variables is a comprehensive references work for scientists, students and engineers who need to know and use the basic concepts in complex analysis of one variable. It is not a book of mathematical theory but a book of mathematical practice. All basic ideas of complex analysis and many typical applications are treated. It is also written in a very vivid style and it contains many helpful figures and graphs." ---Zentralblatt MATH

Authors and Affiliations

  • Department of Mathematics, Washington University in St. Louis, St. Louis, USA

    Steven G. Krantz

Bibliographic Information

  • Book Title: Handbook of Complex Variables

  • Authors: Steven G. Krantz

  • DOI: https://doi.org/10.1007/978-1-4612-1588-2

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-8176-4011-8Published: 14 October 1999

  • Softcover ISBN: 978-1-4612-7206-9Published: 10 October 2012

  • eBook ISBN: 978-1-4612-1588-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXIV, 290

  • Topics: Functions of a Complex Variable, Several Complex Variables and Analytic Spaces

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access