Details

Subject(s)

• Functions of complex variables—Textbooks [Browse]
• Analytic functions—Textbooks [Browse]

Author

• Piret, Cécile [Browse]

Publisher

• Society for Industrial and Applied Mathematics [Browse]

Series

• Other titles in applied mathematics. [More in this series]
• Other titles in applied mathematics ; OT165 [More in this series]

Restrictions note

Restricted to subscribers or individual electronic text purchasers.

Summary note

At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering into the world of complex variables and analytic functions, this book: utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis; covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener-Hopf methods; and presents current advances in research, highlighting the subject's active and fascinating frontier.

Bibliographic references

Includes bibliographical references and index.

System details

• Mode of access: World Wide Web.
• System requirements: Adobe Acrobat Reader.

Source of description

Description based on title page of print version.

Contents

• Complex numbers
• Functions of a complex variable
• Analytic continuation
• Introduction to complex integration
• Residue calculus
• Gamma, zeta, and related functions
• Elliptic functions
• Conformal mappings
• Transforms
• Wiener-Hopf and Riemann-Hilbert methods
• Special functions defined by ODEs
• Steepest descent for approximating integrals.

Show 9 more Contents items

Other format(s)

Also available in print version.

ISBN

1-61197-598-0

Publisher no.

OT165

LCCN

2019030488

OCLC

1124775541

Doi

• 10.1137/1.9781611975987

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