Undergraduate Mathematics Competitions (1995–2016)
Taras Shevchenko National University of Kyiv
Authors: Brayman, Volodymyr, Kukush, Alexander
Free Preview- 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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- About this Textbook
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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
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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
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“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)
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1995
Pages 3-5
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1996
Pages 7-8
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1997
Pages 9-10
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1998
Pages 11-12
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1999
Pages 13-13
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Table of contents (44 chapters)
- Download Preface 1 PDF (50.5 KB)
- Download Sample pages 2 PDF (55.8 KB)
- Download Table of contents PDF (68.5 KB)
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Bibliographic Information
- 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
- 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
