Mathematical Tapas

Volume 1 (for Undergraduates)

  • Jean-Baptiste Hiriart-Urruty

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Jean-Baptiste Hiriart-Urruty
    Pages 1-99
  3. Jean-Baptiste Hiriart-Urruty
    Pages 100-119
  4. Jean-Baptiste Hiriart-Urruty
    Pages 120-159

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.


real analysis calculus matrices convexity optimization challenging problems in basic mathematics

Authors and affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  1. 1.Institut de mathématiquesUniversité Paul Sabatier Toulouse CEDEX 9France

Bibliographic information