Functions of a Complex Variable and Some of Their Applications - Info and Reading Options
By B. A. Fuchs
"Functions of a Complex Variable and Some of Their Applications" was published by Elsevier Science & Technology Books in 1964 - Chantilly, it has 1 pages and the language of the book is English.
“Functions of a Complex Variable and Some of Their Applications” Metadata:
- Title: ➤ Functions of a Complex Variable and Some of Their Applications
- Author: B. A. Fuchs
- Language: English
- Number of Pages: 1
- Publisher: ➤ Elsevier Science & Technology Books
- Publish Date: 1964
- Publish Location: Chantilly
Edition Specifications:
- Pagination: 448
Edition Identifiers:
- The Open Library ID: OL44168922M - OL10486597W
- ISBN-13: 9781483226644
- All ISBNs: 9781483226644
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"Functions of a Complex Variable and Some of Their Applications" Description:
Open Data:
Front Cover -- Functions of a Complex Variable and Some of their Applications -- Copyright Page -- Table of Contents -- FROM THE FOREWORD TO THE FIRST EDITION -- FOREWORD TO THE ENGLISH EDITION -- INTRODUCTION -- 1. Complex numbers -- 2. The simplest operations -- 3. Multiplication, division, integral powers and roots -- 4. Complex powers. Logarithms -- Exercises -- CHAPTER I. THE FUNDAMENTAL IDEAS OF COMPLEX ANALYSIS -- 5. The sphere of complex numbers -- 6. Domains and their boundaries -- 7. The limit of a sequence -- 8. Complex functions of a real variable -- 9. The complex form of an oscillation -- 10. Functions of a complex variable -- 11. Examples -- 12. The limit of a function -- 13. Continuity -- 14. The Cauchy-Riemann conditions -- Exercises -- CHAPTER II. CONFORMAL MAPPINGS -- 15. Conformal mappings -- 16. Conformal mapping of domains -- 17. Geometric significance of the differential dw -- 18. Bilinear mappings -- 19. The circle property -- 20. Invariance of the conjugate points -- 21. Conditions determining bilinear mappings -- 22. Particular examples -- 23. General principles of the theory of conformal mapping -- Exercises -- CHAPTER III. ELEMENTARY FUNCTIONS -- 24. The functions w = zn and their Riemann surfaces -- 25. The concept of a regular branch. The functions w = n√z -- 26. The function w = 1/2[z + (1/z)] and its Riemann surface -- 27. Examples -- 28. The Joukowski profile -- 29. The exponential function and its Riemann surface -- 30. The logarithmic function -- 31. Trigonometrical and hyperbolic functions -- 32. The general power -- 33. Examples -- Exercises -- CHAPTER IV. APPLICATIONS TO THE THEORY OF PLANE FIELDS -- 34. Plane vector fields -- 35. Examples of plane fields -- 36. Properties of plane vector fields -- 37. The force function and potential function -- 38. The complex potential in electrostatics
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