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Algorithms and Computation in Mathematics

Involution

The Formal Theory of Differential Equations and its Applications in Computer Algebra

Authors: Seiler, Werner M.

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  • Ground-breaking monograph on the topic

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eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-642-01287-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover 176,79 €
price for Spain (gross)
Softcover 124,79 €
price for Spain (gross)
About the authors

W.M. Seiler is professor for computational mathematics (algorithmic algebra) at Kassel University. His research fields include differential equations, commutative algebra and mechanics. He is particularly interested in combining geometric and algebraic approaches. For many years, he has been an external developer for the computer algebra system MuPAD.


Reviews

From the reviews:

“The first book that provides a self-contained treatment of constructive and algorithmic ideas and methods in FTDE … . the book Involution is unique, self-contained … complete and, in addition, well-written with numerous instructive examples and comprehensive bibliography devoted to the constructive differential-geometric and computer-algebraic aspects of involutivity analysis of differential and polynomial equations and their applications. It can be recommended to researchers, postgraduate and advanced graduate students.” (Vladimir P. Gerdt, Computeralgebra-Rundbrief, October, 2010)

“This book deals with the formal theory of general … systems of differential equations. … starts with an introduction to a geometric approach to differential equations via the jet bundle formalism. … this is a very interesting book with many instructive examples and strong emphasis placed on a constructive approach leading to effective algorithms. It is well written, so it is suitable for and recommended to anyone who is interested in computer-algebraic aspects of involutivity analysis of differential and polynomial equations and their applications.” (Lech Slawik, Mathematical Reviews, Issue 2011 h)

“The book targets the mathematically mature reader who can handle the frequent jumps between geometric and algebraic approaches. It is written at the postgraduate level … . Seiler strikes a good balance between theory, algorithms, and applications. … Seiler’s book hopes to bridge two research communities: one of differential geometers concerned with the formal analysis of differential equations, the other of (computer) algebraists interested in computations with polynomial modules.” (Willy Hereman, SIAM Review, Vol. 53 (3), 2011)


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-642-01287-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover 176,79 €
price for Spain (gross)
Softcover 124,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Involution
Book Subtitle
The Formal Theory of Differential Equations and its Applications in Computer Algebra
Authors
Series Title
Algorithms and Computation in Mathematics
Series Volume
24
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-01287-7
DOI
10.1007/978-3-642-01287-7
Hardcover ISBN
978-3-642-01286-0
Softcover ISBN
978-3-642-26135-0
Series ISSN
1431-1550
Edition Number
1
Number of Pages
XXII, 650
Number of Illustrations
39 b/w illustrations, 8 illustrations in colour
Topics