Complex Variables
eBook - PDF

Complex Variables

Pergamon International Library of Science, Technology, Engineering and Social Studies

  1. 280 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Complex Variables

Pergamon International Library of Science, Technology, Engineering and Social Studies

About this book

Complex Variables covers topics ranging from complex numbers to point sets in the complex plane, elementary functions, straight lines and circles, simple and conformal transformations, and zeros and singularities. Cauchy's theorem, Taylor's theorem, Laurent's theorem, contour integration, and miscellaneous theorems are also discussed. This volume consists of 14 chapters, the first of which introduces the theory of complex numbers and their development either from an algebraic or from a geometrical viewpoint. Emphasis is on the complex plane, modulus, amplitude, number pairs, complex conjugates, the triangle inequality, De Moivre's theorem, and the four mathematical operations (addition, subtraction, multiplication, division). Attention then turns to point sets in the complex plane, infinite series and tests for convergence, functions of a complex variable, and elementary functions. The chapters that follow focus on straight lines and circles, simple and conformal transformations, and integration. Exercises are included in every section of each chapter except the last. This book is written primarily for students and teachers of mathematics.

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Yes, you can access Complex Variables by H. R. Chillingworth, Robert Maxwell in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2013
Print ISBN
9780080169392
eBook ISBN
9781483139951

Table of contents

  1. Front Cover
  2. Complex Variables
  3. Copyright Page
  4. Table of Contents
  5. INTRODUCTION
  6. CHAPTER 1. COMPLEX NUMBERS
  7. CHAPTER 2. POINT SETS IN THE COMPLEX PLANE. SEQUENCES. LIMITS
  8. CHAPTER 3. INFINITE SERIES. TESTS FOR CONVERGENCE
  9. CHAPTER 4. FUNCTIONS OF A COMPLEX VARIABLE
  10. CHAPTER 5. ELEMENTARY FUNCTIONS
  11. CHAPTER 6. STRAIGHT LINE AND CIRCLE
  12. CHAPTER 7. SIMPLE TRANSFORMATIONS
  13. CHAPTER 8. CONFORMAL TRANSFORMATIONS
  14. CHAPTER 9. INTEGRATION
  15. CHAPTER 10. CAUCHY'S THEOREM. DERIVATIVES OF REGULAR FUNCTIONS
  16. CHAPTER 11. TAYLOR'S THEOREM AND LAURENT'S THEOREM
  17. CHAPTER 12. ZEROS AND SINGULARITIES. MEROMORPHIC FUNCTIONS
  18. CHAPTER 13. CONTOUR INTEGRATION
  19. CHAPTER 14. MISCELLANEOUS THEOREMS
  20. APPENDIX A: MULTIPLICATION OF COMPLEX NUMBERS
  21. APPENDIX B: GROUPS
  22. APPENDIX C: THE MILNE-THOMPSON METHOD
  23. MISCELLANEOUS EXERCISES
  24. REFERENCES
  25. ANSWERS TO SELECTED EXERCISES AND MISCELLANEOUS EXERCISES
  26. INDEX