| eBook ISBN: | 978-1-61444-002-4 |
| Product Code: | CAR/2.E |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
| eBook ISBN: | 978-1-61444-002-4 |
| Product Code: | CAR/2.E |
| List Price: | $55.00 |
| MAA Member Price: | $41.25 |
| AMS Member Price: | $41.25 |
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Book DetailsThe Carus Mathematical MonographsVolume: 2; 1926; 173 pp
The theory of functions of a complex variable has been developed by the efforts of thousands of workers through the last hundred years. To give even the briefest account of the present state of that theory in all its branches would be impossible within the limits of this book. What is attempted here is a presentation of fundamental principles with sufficient details of proof and discussion to avoid the style of a mere summary or synopsis. In various places, there are indications of directions in which special portions of the subject branch off from the main stem.
The reader is assumed to have an acquaintance with elementary differential and integral calculus. Without such knowledge, one may, however, obtain some idea of the scope and purposes of the theory of functions from this monograph. Those who are familiar with more than the elements of the calculus should profit most.
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Table of Contents
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Chapters
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Chapter I. Origin and applications of the theory
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Chapter II. Complex numbers
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Chapter III. Real functions of real variables
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Chapter IV. Complex functions that have derivatives
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Chapter V. Applications in geometry and physics
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Chapter VI. Integrals of analytic functions
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Chapter VII. Infinite series
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Chapter VIII. Singularities of single-valued analytic functions
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Chapter IX. Analytic Continuation. Many-Valued Analytic Functions
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
The theory of functions of a complex variable has been developed by the efforts of thousands of workers through the last hundred years. To give even the briefest account of the present state of that theory in all its branches would be impossible within the limits of this book. What is attempted here is a presentation of fundamental principles with sufficient details of proof and discussion to avoid the style of a mere summary or synopsis. In various places, there are indications of directions in which special portions of the subject branch off from the main stem.
The reader is assumed to have an acquaintance with elementary differential and integral calculus. Without such knowledge, one may, however, obtain some idea of the scope and purposes of the theory of functions from this monograph. Those who are familiar with more than the elements of the calculus should profit most.
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Chapters
-
Chapter I. Origin and applications of the theory
-
Chapter II. Complex numbers
-
Chapter III. Real functions of real variables
-
Chapter IV. Complex functions that have derivatives
-
Chapter V. Applications in geometry and physics
-
Chapter VI. Integrals of analytic functions
-
Chapter VII. Infinite series
-
Chapter VIII. Singularities of single-valued analytic functions
-
Chapter IX. Analytic Continuation. Many-Valued Analytic Functions
