Complex variables and analytic functions: an illustrated introduction

By:

Fornberg, Bengt

Contributor(s):

Piret, Cécile [Co-author]

Series: Other Titles in Applied Mathematics ; Vol. 165Publication details: Philadelphia: Society for Industrial and Applied Mathematics (SIAM), 2020.Description: x, 261p.: col. ill.; pbk.: 26cmISBN:

9781611975970

Subject(s):

DDC classification:

515.942 FOR

Summary: 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. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared towards graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject. https://epubs.siam.org/doi/book/10.1137/1.9781611975987

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	515.942 FOR (Browse shelf(Opens below))	1	Available	034430

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Previous	515.93 CON Functions of one complex variable I	515.93 CON Functions of one complex variable II	515.94 FLE Quasiconformal maps and Teichmüller theory	515.942 FOR Complex variables and analytic functions: an illustrated introduction	515.946 Complex manifolds and deformation of complex structures.	515.98 BRA Quasiconformal surgery in holomorphic dynamics	515.98 NIK Hardy spaces	Next

Includes Bibliography and Index

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.

The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared towards graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.

https://epubs.siam.org/doi/book/10.1137/1.9781611975987

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