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Problem Books in Mathematics

An Excursion through Elementary Mathematics, Volume III

Discrete Mathematics and Polynomial Algebra

Authors: Caminha Muniz Neto, Antonio

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  • Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world
  • Offers a comprehensive course on problem-solving techniques
  • Presents a coherent development of mathematical ideas and methods behind problem solving
  • Brings several classical, relevant results of various fields in mathematics
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eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-77977-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 34,31 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-77976-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-08590-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more.
As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

About the authors

Antonio Caminha M. Neto received his PhD from the Federal University of Ceará, Brazil in 2004. In the same year he joined the University as a Professor of Mathematics, where he is now a member of the Differential Geometry Research Group. The author of several research papers, Caminha was distinguished by a CNPq Research Grant on Differential Geometry. He is also an Affiliate Member of the Brazilian Academy of Sciences. Prior to his academic career, Caminha was himself an Olympic competitor, who has placed 4th in the 1990 Brazilian Mathematical Olympiad. Subsequently, as a high school teacher in the 1990s, he coached Brazilian students in preparation for various mathematical competitions, from regional meets to the Iberoamerican Mathematical Olympiad and the International Mathematical Olympiad, where several of them were medalists. He was also a Leader of the Brazilian Team at the 1996 and 1999 South Cone Mathematical Olympiad, and Deputy Leader of the Brazilian Team at the 1995 and 2001 International Mathematical Olympiads. In 2012, Caminha published a six-volume book collection entitled Topics in Elementary Mathematics with the Brazilian Mathematical Society, which gave rise to this book. He also published a book on selected topics on Differential Geometry, especially the Bochner method and harmonic maps.

Table of contents (22 chapters)

Table of contents (22 chapters)
  • Elementary Counting Techniques

    Pages 1-32

    Caminha Muniz Neto, Antonio

  • More Counting Techniques

    Pages 33-66

    Caminha Muniz Neto, Antonio

  • Generating Functions

    Pages 67-93

    Caminha Muniz Neto, Antonio

  • Existence of Configurations

    Pages 95-123

    Caminha Muniz Neto, Antonio

  • A Glimpse on Graph Theory

    Pages 125-156

    Caminha Muniz Neto, Antonio

Buy this book

eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-77977-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 34,31 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-77976-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-08590-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • 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
An Excursion through Elementary Mathematics, Volume III
Book Subtitle
Discrete Mathematics and Polynomial Algebra
Authors
Series Title
Problem Books in Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77977-5
DOI
10.1007/978-3-319-77977-5
Hardcover ISBN
978-3-319-77976-8
Softcover ISBN
978-3-030-08590-2
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XII, 648
Number of Illustrations
24 b/w illustrations
Topics