Mathematical tapas
著者
書誌事項
Mathematical tapas
（Springer undergraduate mathematics series）
Springer, c2016-
- v. 1
- v. 2
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注記
Vol. 1. (for undergraduates) -- v. 2. (from undergraduate to graduate level)
Includes bibliographical references
内容説明・目次
- 巻冊次
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v. 1 ISBN 9783319421858
内容説明
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.
目次
Chapter 1 Proposals.- Chapter 2 Hint(s).- Chapter 3 Answer(s), Comment(s).
- 巻冊次
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v. 2 ISBN 9783319686301
内容説明
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.
目次
Part I. One-starred tapas.- Part II. two-starred tapas.- Part III. Three-starredtapas.- Part IV. Open problems.
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