Description
Book SynopsisLinear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author's teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals:
- to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work,
- to unify many distinct and seemingly isolated topics,
- to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems.
The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics fr
Table of Contents
Chapter 1. Linear algebra; Chapter 2. Complex numbers; Chapter 3. Vector analysis; Chapter 4. Complex analysis; Chapter 5. Transform methods; Chapter 6. Hilbert spaces; Chapter 7. Examples and applications; Chapter 8. Appendix: The language of mathematics; References; Index
