Authors:
- Emphasis is given to the applications of complex analysis to differential equations
- Provides a rigorous approach with the right balance between theory and practice
- Includes approximately 200 examples and 200 problems with detailed solutions
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
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Table of contents (8 chapters)
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Front Matter
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Complex Analysis
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Front Matter
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Differential Equations
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Front Matter
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Back Matter
About this book
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.
Reviews
From the reviews:
“Barreira and Valls (both, Instituto Superior Técnico, 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)Authors and Affiliations
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Instituto Superior Tecnico, Depto. Matematica, Universidade Tecnica Lisboa, Lisboa, Portugal
Luis Barreira
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Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal
Claudia Valls
Bibliographic Information
Book Title: Complex Analysis and Differential Equations
Authors: Luis Barreira, Claudia Valls
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-1-4471-4008-5
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2012
Softcover ISBN: 978-1-4471-4007-8Published: 18 April 2012
eBook ISBN: 978-1-4471-4008-5Published: 23 April 2012
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: VIII, 415
Number of Illustrations: 37 b/w illustrations
Additional Information: Original Portugese edition published by IST Press, Portugal, 2010
Topics: Fourier Analysis, Functions of a Complex Variable, Ordinary Differential Equations, Partial Differential Equations, Sequences, Series, Summability