Mathematical Tapas

Volume 2 (From Undergraduate to Graduate Level)

  • Jean-Baptiste Hiriart-Urruty

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jean-Baptiste Hiriart-Urruty
    Pages 1-253
  3. Back Matter
    Pages 255-255

About this book


This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics.

Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 “tapas” as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems.

Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader’s mathematical problem solving abilities.


challenging problems in mathematics original exercises in mathematics metric spaces problems metric spaces exercises normed spaces problems normed spaces exercises Banach spaces problems Banach spaces exercises Hilbert spaces problems Hilbert spaces exercises differential calculus problems differential calculus exercises integration problems mathematics integration exercises mathematics matrices problems mathematics matrices exercises mathematics optimization problems optimization exercises real analysis exercises convexity problems mathematics

Authors and affiliations

  • Jean-Baptiste Hiriart-Urruty
    • 1
  1. 1.Institute of MathematicsPaul Sabatier UniversityToulouseFrance

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-68630-1
  • Online ISBN 978-3-319-68631-8
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • Buy this book on publisher's site