Texts & Monographs in Symbolic Computation

The Concrete Tetrahedron

Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates

Authors: Kauers, Manuel, Paule, Peter

  • Presents concrete mathematics from a computer algebra perspective
  • Details concepts in an informal style: as simple as possible, as complicated as necessary
  • Includes motivating applications from combinatorics, computer science, number theory, special functions
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eBook $54.99
price for USA (gross)
  • ISBN 978-3-7091-0445-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-7091-0444-6
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  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.

Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.

Reviews

From the reviews:

“The Concrete Tetrahedron is suitable for advanced undergraduate students in mathematics or computer science who have had some exposure to elementary concepts in abstract algebra and complex analysis. … The volume’s numerous problems together with selected solutions definitely make it appropriate for an independent reading course for the motivated student. Summing Up: Highly recommended. Upper-division undergraduates.” (D. M. Ha, Choice, Vol. 49 (11), July, 2012)

“The book deals with a blend of continuous and discrete mathematics, applying continuous methods to discrete problems. … Those who are interested in the subject matter of Concrete Mathematics will enjoy The Concrete Tetrahedron for an independent perspective, some more recent results, and for new applications.” (John D. Cook, The Mathematical Association of America, March, 2011)


Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-7091-0445-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-7091-0444-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Concrete Tetrahedron
Book Subtitle
Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates
Authors
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2011
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag/Wien
eBook ISBN
978-3-7091-0445-3
DOI
10.1007/978-3-7091-0445-3
Softcover ISBN
978-3-7091-0444-6
Series ISSN
0943-853X
Edition Number
1
Number of Pages
IX, 203
Topics