Linear and Complex Analysis for Applications

ISBN-13: 9781498756105 / Angielski / Twarda / 2016 / 264 str.

John P. D'Angelo

Opis

This book develops an understanding of sophisticated tools by using them. Complex variable theory is developed. The first three chapters and selected topics make a nice course. This course should appeal to faculty who want an integrated treatment of linear algebra and complex analysis, including applications and also reviewing vector analysis. Students can continue with the Hilbert space chapter and conclude with probability and quantum mechanics. The first five chapters together with the last section of Chapter 7 make an applied complex variables course. Such a course would be ideal for many graduate students.

Spis treści

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 

O autorze

John P. D'Angelo is Professor of Mathematics at the University of Illinois at Urbana-Champaign. He has published more than sixty research papers in complex analysis in several variables and Cauchy-Riemann geometry. He was awarded the Stefan Bergman prize in 1999 for some of this work. He has been recognized for excellence in his teaching and he is a Fellow of the American Mathematical Society.