Complex Analysis and Differential Equations

by Luis Barreira, Claudia Valls

Part of the Springer Undergraduate Mathematics Series Series

Complex Analysis and Differential Equations Synopsis

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty. Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.

Complex Analysis and Differential Equations Press Reviews

From the reviews: Barreira and Valls (both, Instituto Superior Tecnico, Lisbon) emphasize rigor, and have geared the book to students who are slightly more advanced than most students in first courses. ... Cumulatively, the volume includes over 160 examples, nearly 200 solved problems (about 45 percent of the text), and more than 220 exercises. Readability is enhanced by approximately 35 figures. Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, and professionals. (D. P. Turner, Choice, Vol. 50 (5), January, 2013)

Book Information

ISBN: 9781447140078
Publication date: 18th April 2012
Author: Luis Barreira, Claudia Valls
Publisher: Springer London Ltd
Format: Paperback
Pagination: 415 pages
Categories: Differential calculus & equations, Complex analysis, complex variables,

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