Overview
- 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)
Keywords
- 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
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.
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Authors and Affiliations
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Institute of Mathematics, Paul Sabatier University, Toulouse, France
Jean-Baptiste Hiriart-Urruty
About the author
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