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La Matematica per il 3+2

Discrete Calculus

Methods for Counting

Authors: Mariconda, Carlo, Tonolo, Alberto

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  • A new and efficient way to learn combinatorics
  • Includes effective problem-solving methods
  • Efficient didactical approach, taking care of the reader
  • An original collection of important aspects of discrete mathematics, rarely presented in the same book
  • Includes numerous examples and exercises
  • Based on the extensive teaching experience of and fruitful discussions between the different authors
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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-03038-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-03037-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet user-friendly approach. This is particularly useful in combinatorics, a field where, all too often, exercises are solved by means of ad hoc tricks. The book contains more than 400 examples and about 300 problems, and the reader will be able to find the proof of every result. To further assist students and teachers, important matters and comments are highlighted, and parts that can be omitted, at least during a first and perhaps second reading, are identified.

About the authors

Carlo Mariconda was born in 1964. In 1991 he received his PhD in Functional Analysis from the International School for Advanced Studies (SISSA-ISAS), Trieste, Italy. Since 1992 he has been a member of the Department of Mathematics at the University of Padova, where he is now Professor in Mathematical Analysis. His scientific interests mainly focus on the Calculus of Variations and Functional Analysis.

Alberto Tonolo was born in 1962. In 1993 he received his PhD in Algebra from the University of Florence, Italy. Since 1992 he has been a member of the Department of Mathematics at the University of Padova, where he is now Professor in Algebra. His scientific interests mainly focus on Module and Ring Theory and Homological Algebra.

Reviews

“Discrete Calculus is an introductory text to combinatorics and finite calculus. … the work is well organized, and its massive size is also a strength since an interested reader will be  able to find any related topic with the assistance of its comprehensive index including symbols, helpful appendixes, and markers indicating what information is most and least important. … Summing Up: Recommended. Graduate students, researchers, and faculty.” (A. Misseldine, Choice, Vol. 54 (11), July, 2017)


Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-03038-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-03037-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Discrete Calculus
Book Subtitle
Methods for Counting
Authors
Series Title
La Matematica per il 3+2
Series Volume
103
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Delhi Book Store, New Delhi, India
eBook ISBN
978-3-319-03038-8
DOI
10.1007/978-3-319-03038-8
Softcover ISBN
978-3-319-03037-1
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XXI, 659
Number of Illustrations
66 b/w illustrations
Topics