株式会社極東書店トップ商品一覧Amazing and Aesthetic Aspects of Analysis. Softcover reprint of the original 1st ed. 2017.

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Amazing and Aesthetic Aspects of Analysis.

Amazing and Aesthetic Aspects of Analysis. Softcover reprint of the original 1st ed. 2017.

・ISBN 978-1-4939-9245-4 paper EUR 56.99

¥15,232.- (税込) (※)価格はご注文時の参考価格となります。
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お気に入り
著者・編者Loya, Paul,
出版社(Springer-Verlag New York Inc., US)
出版年月2019
ページ数722 pp.
言語ENG
ニュース番号<M25-16570>

解説

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression.
In studying this book, students will encounter:
  • the interconnections between set theory and mathematical statements and proofs;
  • the fundamental axioms of the natural, integer, and real numbers;
  • rigorous ?-N and ?-? definitions;
  • convergence and properties of an infinite series, product, or continued fraction;
  • series, product, and continued fraction formulae for the various elementary functions and constants.
Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.