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Undergraduate Mathematics Competitions (1995–2016)

Taras Shevchenko National University of Kyiv

  • Textbook
  • © 2017

Overview

Authors:
  1. Volodymyr Brayman

    1. Dept of Mathematical Analysis, Taras Shevchenko National University of Dept of Mathematical Analysis, Kyiv, Ukraine

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    You can also search for this author in PubMed   Google Scholar

  2. Alexander Kukush

    1. Dept. of Mathematical Analysis, Taras Shevchenko National University , Kyiv, Ukraine

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Problem Books in Mathematics (PBM)

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Table of contents (44 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Problems

    1. Front Matter

      Pages 1-2
      Download chapter PDF

    2. 1995

      • Volodymyr Brayman, Alexander Kukush
      Pages 3-5

    3. 1996

      • Volodymyr Brayman, Alexander Kukush
      Pages 7-8

    4. 1997

      • Volodymyr Brayman, Alexander Kukush
      Pages 9-10

    5. 1998

      • Volodymyr Brayman, Alexander Kukush
      Pages 11-12

    6. 1999

      • Volodymyr Brayman, Alexander Kukush
      Pages 13-13

    7. 2000

      • Volodymyr Brayman, Alexander Kukush
      Pages 15-17

    8. 2001

      • Volodymyr Brayman, Alexander Kukush
      Pages 19-20

    9. 2002

      • Volodymyr Brayman, Alexander Kukush
      Pages 21-23

    10. 2003

      • Volodymyr Brayman, Alexander Kukush
      Pages 25-26

    11. 2004

      • Volodymyr Brayman, Alexander Kukush
      Pages 27-29

    12. 2005

      • Volodymyr Brayman, Alexander Kukush
      Pages 31-33

    13. 2006

      • Volodymyr Brayman, Alexander Kukush
      Pages 35-37

    14. 2007

      • Volodymyr Brayman, Alexander Kukush
      Pages 39-41

    15. 2008

      • Volodymyr Brayman, Alexander Kukush
      Pages 43-45

    16. 2009

      • Volodymyr Brayman, Alexander Kukush
      Pages 47-49

    17. 2010

      • Volodymyr Brayman, Alexander Kukush
      Pages 51-53

    18. 2011

      • Volodymyr Brayman, Alexander Kukush
      Pages 55-57

    19. 2012

      • Volodymyr Brayman, Alexander Kukush
      Pages 59-61
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Keywords

About this book

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.

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)

Authors and Affiliations

  • Dept of Mathematical Analysis, Taras Shevchenko National University of Dept of Mathematical Analysis, Kyiv, Ukraine

    Volodymyr Brayman

  • Dept. of Mathematical Analysis, Taras Shevchenko National University , Kyiv, Ukraine

    Alexander Kukush

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.




Bibliographic Information

  • Book Title: Undergraduate Mathematics Competitions (1995–2016)

  • Book Subtitle: Taras Shevchenko National University of Kyiv

  • Authors: Volodymyr Brayman, Alexander Kukush

  • Series Title: Problem Books in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-58673-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-58672-4Published: 06 July 2017

  • Softcover ISBN: 978-3-319-86451-8Published: 02 August 2018

  • eBook ISBN: 978-3-319-58673-1Published: 25 June 2017

  • Series ISSN: 0941-3502

  • Series E-ISSN: 2197-8506

  • Edition Number: 2

  • Number of Pages: XIV, 228

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Mathematics, general

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