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Mathematical Tapas

Volume 1 (for Undergraduates)

  • Textbook
  • © 2016

Overview

Authors:
  1. Jean-Baptiste Hiriart-Urruty

    1. Institut de mathématiques, Université Paul Sabatier , Toulouse CEDEX 9, France

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  • Presents non-standard exercises at undergraduate level from various mathematical subjects
  • Provides hints to solve the problems, suggesting paths to follow
  • Inspires readers to putting their knowledge to use and to learning new techniques and tricks
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Proposals

    • Jean-Baptiste Hiriart-Urruty
    Pages 1-99

  3. Hint(s)

    • Jean-Baptiste Hiriart-Urruty
    Pages 100-119

  4. Answer(s), Comment(s)

    • Jean-Baptiste Hiriart-Urruty
    Pages 120-159
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Keywords

About this book

This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization.


Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results.



This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.


Reviews

“This volume includes a collection of exercises (called ‘tapas’) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. ... This volume is mainly addressed to mathematicians, motivated undergraduate students from science-based areas, as well as to researchers interested in nice subjects of mathematics.” (Teodora-Liliana Rădulescu, zbMATH 1375.00010, 2018)

Authors and Affiliations

  • Institut de mathématiques, Université Paul Sabatier , Toulouse CEDEX 9, France

    Jean-Baptiste Hiriart-Urruty

About the author

Jean-Baptiste Hiriart-Urruty has substantial experience in teaching mathematics at various levels of higher education. He has written several textbooks and exercise books in English and French (including titles in Springer series).

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