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OverviewThis 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 Grobner 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. Full Product DetailsAuthor: D. WangPublisher: Springer Verlag GmbH Imprint: Springer Verlag GmbH Edition: Softcover reprint of the original 1st ed. 2001 Dimensions: Width: 17.00cm , Height: 1.40cm , Length: 24.40cm Weight: 0.522kg ISBN: 9783211832417ISBN 10: 3211832416 Pages: 244 Publication Date: 30 November 2000 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviews.,. the algorithms are presented in a a ~crescendoa (TM) 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.a 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 ... 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 ... 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |