Author	Bronstein, Manuel. author
Title	Symbolic Integration I [electronic resource] : Transcendental Functions / by Manuel Bronstein
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997
Connect to	http://dx.doi.org/10.1007/978-3-662-03386-9
Descript	XIII, 303 p. 4 illus. online resource

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

1. Algebraic Preliminaries -- 2. Integration of Rational Functions -- 3. Differential Fields -- 4. The Order Function -- 5. Integration of Transcendental Functions -- 6. The Risch Differential Equation -- 7. Parametric Problems -- 8. The Coupled Differential System -- 9. Structure Theorems -- References

1. Mathematics
2. Computer science -- Mathematics
3. Algebra
4. Mathematical analysis
5. Analysis (Mathematics)
6. Algorithms
7. Mathematics
8. Analysis
9. Algebra
10. Algorithms
11. Symbolic and Algebraic Manipulation