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Introduction to Enumerative and Analytic Combinatorics
Engelsk Hardback
Introduction to Enumerative and Analytic Combinatorics
Engelsk Hardback

926 kr
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Om denne bog

This award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The author’s goal is to make combinatorics more accessible to encourage student interest and to expand the number of students studying this rapidly expanding field.

The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

Updates to the Third Edition include:

  • Quick Check exercises at the end of each section, which are typically easier than the regular exercises at the end of each chapter.
  • A new section discussing the Lagrange Inversion Formula and its applications, strengthening the analytic flavor of the book.
  • An extended section on multivariate generating functions.

Numerous exercises contain material not discussed in the text allowing instructors to extend the time they spend on a given topic. A chapter on analytic combinatorics and sections on advanced applications of generating functions, demonstrating powerful techniques that do not require the residue theorem or complex integration, and extending coverage of the given topics are highlights of the presentation.

The second edition was recognized as an Outstanding Academic Title of the Year by Choice Magazine, published by the American Library Association.

Product detaljer
Sprog:
Engelsk
Sider:
546
ISBN-13:
9781032302706
Indbinding:
Hardback
Udgave:
3
ISBN-10:
1032302704
Kategori:
Udg. Dato:
11 mar 2025
Længde:
37mm
Bredde:
242mm
Højde:
163mm
Forlag:
Taylor & Francis Ltd
Oplagsdato:
11 mar 2025
Forfatter(e):
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