Undergraduate Mathematics Competitions (1995-2016): Taras Shevchenko National University of Kyiv
暫譯: 烏克蘭基輔塔拉斯·舍甫琴科國立大學本科數學競賽（1995-2016）

Brayman, Volodymyr, Kukush, Alexander

Undergraduate Mathematics Competitions (1995-2016): Taras Shevchenko National University of Kyiv
  • 出版商: Springer
  • 出版日期: 2018-08-02
  • 售價: $2,660
  • 貴賓價: 9.5 折 $2,527
  • 語言: 英文
  • 頁數: 228
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3319864513
  • ISBN-13: 9783319864518

    • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

這本問題集內容多樣且全面，將吸引幾乎所有數學領域的學生。文本提供了從1995年到2016年在數學奧林匹克中提出的原創和高級問題。對於本科生、博士生和教師來說，這本書中的問題難度各異，涵蓋了大多數本科階段的必修課程，包括微積分、代數、幾何、離散數學、測度論、複變分析、微分方程和概率論。第一部分的所有問題在第二部分中提供了詳細解答，使學生能夠檢查自己的解答並觀察到新的和意想不到的思路。這本書中的大多數問題並不技術性，並且允許簡短而優雅的解決方案。所給出的問題是獨特且非標準的；解決這些問題需要創造性的方法以及對材料的深刻理解。幾乎所有問題均由基輔塔拉斯·舍甫琴科國立大學的機械與數學系的講師、博士生、高年級本科生和研究生原創，還有來自比利時、加拿大、英國、匈牙利和美國的許多其他人。

作者簡介

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.


作者簡介(中文翻譯)

沃洛迪米爾·布雷曼是基輔塔拉斯·舍甫琴科國立大學機械與數學系數學分析部的助理教授。他是隨機過程的專家，曾擔任各種數學競賽的評審委員，並且是多個競賽中提出的問題的作者。

亞歷山大·庫庫什是基輔塔拉斯·舍甫琴科國立大學機械與數學系數學分析部的正教授。他是數學與應用統計的專家，也是國際統計學會的當選成員。庫庫什教授共同編著了一本名為隨機過程理論（ISBN:978-0-387-87861-4）的問題書，該書由Springer出版，並且他還是多個數學競賽中提出的問題的作者。

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