Elimination Methods (Texts & Monographs in Symbolic Computation) (Texts & Monographs in Symbolic Computation) - Tapa blanda

Wang, D.

 
9783211832417: Elimination Methods (Texts & Monographs in Symbolic Computation) (Texts & Monographs in Symbolic Computation)
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ISBN 10: 3211832416 ISBN 13: 9783211832417
Editorial: Springer, 2000

Sinopsis

This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.

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Críticas

"... the algorithms are presented in a ‘crescendo’ sequence, that is, the versions are improved step by step with the introduction of new techniques and concepts, which allows the readers to follow the construction of the ideas; furthermore, this style makes it a very good textbook ... it is a very good text to have on hand for anyone interested in the theories and techniques of elimination methods.” American Mathematical Society "... This book, therefore, is not only topical, but is also the first book that contains all major currently available algorithmic approaches on elimination theory in one conceptional frame ... The book is well suited both as a textbook and as a research reference for the state of the art in algorithmic elimination theory. Theorems and proofs are presented in such a way that the correctness of the algorithms based on them can easily be verified. Well-chosen examples make it easy to understand the concepts and the methods. The main contents of this book - altough not all details - should enter standard curricula on algebra." Association for Computing Machinery

Reseña del editor

This book provides a systematic and uniform presentation of elimination methods and the underlying theories, along the central line of decomposing arbitrary systems of polynomials into triangular systems of various kinds. Highlighting methods based on triangular sets, the book also covers the theory and techniques of resultants and Gröbner bases. The methods and their efficiency are illustrated by fully worked out examples and their applications to selected problems such as from polynomial ideal theory, automated theorem proving in geometry and the qualitative study of differential equations. The reader will find the formally described algorithms ready for immediate implementation and applicable to many other problems. Suitable as a graduate text, this book offers an indispensable reference for everyone interested in mathematical computation, computer algebra (software), and systems of algebraic equations.

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Editorial
Springer
Año de publicación
2000
Idioma
Inglés
ISBN 10 
3211832416
ISBN 13 
9783211832417
Encuadernación
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Número de páginas
264
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9783709162033: Elimination Methods

Edición Destacada

ISBN 10:  3709162033 ISBN 13:  9783709162033
Editorial: Springer, 2012
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