Transcendental functions
著者
書誌事項
Transcendental functions
(Algorithms and computation in mathematics, v. 1 . Symbolic integration; 1)
Springer, c1997
- : hardcover
- タイトル別名
-
Symbolic integration one
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book, the first volume in the new series Algorithms and Computation in Mathematics , is bound to become the standard reference for symbolic integration. The author is the leading expert on this topic and his book is the first book to treat it comprehensively and in detail including new results. Many algorithms are given in pseudocode and, hence, can be implemented. The book addresses mathematicians and computer scientists who are interested in symbolic computation, developers and programmers of computer algebra systems and users of symbolic integration methods. It will also serve as a textbook to be used for lecture courses on symbolic integration.
目次
- Preface
- 1. Algebraic Preliminaries
- 2. Integration of Rational Functions
- 3. Differential Fields
- 4. The Order Function
- 5. Integration of Transcendental Functions
- 6. The Risch Differential Equations
- 7. Parametric Problems
- 8. The Coupled Differential System
- 9. Structure Theorems
- References
- Index
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