Complex Analysis
eBook - PDF

Complex Analysis

  1. 160 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Complex Analysis

Book details
Table of contents
Citations

About This Book

This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics. It is a straightforward and coherent account of a body of knowledge in complex analysis, from complex numbers to Cauchy's integral theorems and formulas to more advanced topics such as automorphism groups, the Schwarz problem in partial differential equations, and boundary behavior of harmonic functions.

The book covers a wide range of topics, from the most basic complex numbers to those that underpin current research on some aspects of analysis and partial differential equations. The novelty of this book lies in its choice of topics, genesis of presentation, and lucidity of exposition.

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Yes, you can access Complex Analysis by M W Wong in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
2008
ISBN
9789813107168
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Contents
  2. Preface
  3. 1. Complex Numbers
  4. 2. Arguments and Polar Forms of Complex Numbers
  5. 3. Exponentials, Powers and Roots
  6. 4. Functions of a Complex Variable
  7. 5. Holomorphic Functions and the Cauchy{Riemann Equations
  8. 6. The Exponential, Trigonometric and Hyperbolic Functions
  9. 7. Logarithms, Complex Powers, Branches and Cuts
  10. 8. Contour Integrals and Path Independence
  11. 9. Cauchy's Integral Theorems
  12. 10. Cauchy's Integral Formulas
  13. 11. Taylor Series and Power Series
  14. 12. Laurent Series and Isolated Singularities
  15. 13. Residues
  16. 14. Trigonometric Integrals
  17. 15. Cauchy Principal Values of Improper Integrals on (
  18. 16. Fourier Transforms of Rational Functions
  19. 17. Singular Integrals on ( )
  20. 18. Integrals on Branch Cuts
  21. 19. Biholomorphisms
  22. 20. Zeros, Maximum Modulus Principle and Schwarz's Lemma
  23. 21. Aut(D) and SU(1; 1)
  24. 22. Aut(H), SL(2;R) and the Iwasawa Decomposition
  25. 23. Harmonic Functions and the Schwarz Problem on D
  26. Bibliography
  27. Index