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.
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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