Problem Books in Mathematics

Undergraduate Mathematics Competitions (1995–2016)

Taras Shevchenko National University of Kyiv

Authors: Brayman, Volodymyr, Kukush, Alexander

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  • Contains many original and advanced problems for undergraduate students
  • Includes problems for all obligatory mathematical courses, including calculus, algebra, geometry, complex analysis, measure theory, and probability theory
  • Includes detailed solutions in Part II to all problems presented in Part I
  • Useful to university instructors for composing assignments and preparing course material
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eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-58673-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-58672-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • 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 978-3-319-86451-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • 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

Versatile and comprehensive in content, this book of problems will appeal to students in nearly all areas of mathematics. The text offers original and advanced problems proposed from 1995 to 2016 at the Mathematics Olympiads. Essential for undergraduate students, PhD students, and instructors, the problems in this book vary in difficulty and cover most of the obligatory courses given at the undergraduate level, including calculus, algebra, geometry, discrete mathematics, measure theory, complex analysis, differential equations, and probability theory. Detailed solutions to all of the problems from Part I are supplied in Part II, giving students the ability to check their solutions and observe new and unexpected ideas. Most of the problems in this book are not technical and allow for a short and elegant solution. The problems given are unique and non-standard; solving the problems requires a creative approach as well as a deep understanding of the material. Nearly all of the problems are originally authored by lecturers, PhD students, senior undergraduates, and graduate students of the mechanics and mathematics faculty of Taras Shevchenko National University of Kyiv as well as by many others from Belgium, Canada, Great Britain, Hungary, and the United States.

About the authors

Volodymyr Brayman is an Assistant Professor at the Department of Mathematical Analysis in the Faculty of  Mechanics and Mathematics at Taras Shevchenko National University of Kyiv. He is an expert in stochastic processes, a jury member in various mathematics competitions, and an author of numerous problems proposed at the competitions.

Alexander Kukush is a full Professor at the Department of Mathematical Analysis in the Faculty of Mechanics and Mathematics at Taras Shevchenko National University of Kyiv. He is an expert in mathematical and applied statistics and an elected member of the International Statistical Institute. Prof. Kukush co-authored a problem book titled Theory of Stochastic Processes (ISBN:978-0-387-87861-4) published with Springer, and has authored numerous problems proposed at the mathematics competitions.


Reviews

“This book contains the problems given from 1995 to 2016 at the Undergraduate Mathematics Competition organized by the Taras Shevchenko National University of Kyiv. … The reviewer recommends this book to all students curious about undergraduate problems for competitions. Teachers would find this book to be a welcome resource for organizing their activities at a high scientific level. The book under review is very strongly recommended to undergraduate students, PhD students, and instructors.” (Teodora-Liliana Rădulescu, zbMATH, 1372.00005, 2017)


Table of contents (44 chapters)

Table of contents (44 chapters)
  • 1995

    Pages 3-5

    Brayman, Volodymyr (et al.)

  • 1996

    Pages 7-8

    Brayman, Volodymyr (et al.)

  • 1997

    Pages 9-10

    Brayman, Volodymyr (et al.)

  • 1998

    Pages 11-12

    Brayman, Volodymyr (et al.)

  • 1999

    Pages 13-13

    Brayman, Volodymyr (et al.)

Buy this book

eBook 21,39 €
42,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-58673-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 25,99 €
51,99 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-319-58672-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • 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 978-3-319-86451-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • 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
Undergraduate Mathematics Competitions (1995–2016)
Book Subtitle
Taras Shevchenko National University of Kyiv
Authors
Series Title
Problem Books in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58673-1
DOI
10.1007/978-3-319-58673-1
Hardcover ISBN
978-3-319-58672-4
Softcover ISBN
978-3-319-86451-8
Series ISSN
0941-3502
Edition Number
2
Number of Pages
XIV, 228
Number of Illustrations
10 b/w illustrations
Topics