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Mathematical Tapas

Volume 2 (From Undergraduate to Graduate Level)

  • Textbook
  • © 2017

Overview

Authors:
  1. Jean-Baptiste Hiriart-Urruty

    1. Institute of Mathematics, Paul Sabatier University, Toulouse, France

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  • Presents original exercises from various mathematical subjects
  • Challenges readers to solve and learn
  • Provides hints and partial answers
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (1 chapter)

  1. Front Matter

    Pages i-xii
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  2. Mathematical Tapas

    • Jean-Baptiste Hiriart-Urruty
    Pages 1-253

  3. Back Matter

    Pages 255-255
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Keywords

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.



Reviews

“The present volume has a very nice content written in a professional manner. This volume is suitable for advanced undergraduate and graduate students in mathematics, but it is also addressed to readers trying to evaluate their abilities to solve interesting mathematical problems.” (Teodora-Liliana Rădulescu, zbMATH 1388.00010, 2018)

Authors and Affiliations

  • Institute of Mathematics, Paul Sabatier University, Toulouse, 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 the first volume of Mathematical Tapas (Springer, 2016). The present volume is the fourth published by Springer.

Bibliographic Information

  • Book Title: Mathematical Tapas

  • Book Subtitle: Volume 2 (From Undergraduate to Graduate Level)

  • Authors: Jean-Baptiste Hiriart-Urruty

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-319-68631-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-68630-1Published: 05 December 2017

  • eBook ISBN: 978-3-319-68631-8Published: 24 November 2017

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: XII, 255

  • Number of Illustrations: 5 b/w illustrations, 5 illustrations in colour

  • Topics: Mathematics, general

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