A First Course in Complex Analysis with Applications

Dennis G. Zill, Patrick Shanahan

500 pages, parution le 31/03/2003

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Résumé

The aim of A First Course in Complex Analysis with Applications is that it's accessible to students with only a calculus background. There are a lot of examples, and the authors have tried very hard to supply all pertinent details in the solutions of the examples. The authors keep theory to a manageable level throughout the book and concentrate on what is essential to this course. Many concepts are conveyed in an informal and conceptual style and driven by examples rather than presented in a formal definition/theorem/proof style. However, the authors have not abandoned theory in favor of "cookbook recipes"; proofs of major results are presented and much of the standard terminology is used. Indeed, there are many problems in the exercise sets where students are asked to prove something.

Contents

Chapter 1. Complex Numbers and the Complex Plane
Chapter 2. Complex Functions and Mapping
Chapter 3. Analytic Functions
Chapter 4. Integration in the Complex Plane
Chapter 5. Integration in the Complex Plane
Chapter 6. Series and Residues
Chapter 7. Conformal Mappings
Appendixes

L'auteur - Dennis G. Zill

Loyola Marymount University
Ph.D. in applied mathematics from Iowa State University. Currently professor of mathematics and former chair of the math dept at Loyola Marymount University in Los Angeles. Dennis Zill's research interests include Applied Mathematics, Special Functions, and Integral Transforms.

L'auteur - Patrick Shanahan

Loyola Marymount University
Patrick received his Ph.D. from the University of California, Santa Barbara, 1996; his M.A. from the University of California, Santa Barbara, 1992; and his B.A. from California State University, Long Beach, 1990. Currently Patrick's research interests include Geometric topology, knot theory, hyperbolic geometry, and representation theory.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Jones and Bartlett Publishers
Auteur(s)	Dennis G. Zill, Patrick Shanahan
Parution	31/03/2003
Nb. de pages	500
Format	20,5 x 26
Couverture	Broché
Poids	1270g
Intérieur	Noir et Blanc
EAN13	9780763714376
ISBN13	978-0-7637-1437-6