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Introduction to Analysis.

Introduction to Analysis.

・ISBN 978-1-032-47677-3 paper GB£ 51.99

￥16,470.- (税込) ※（※）価格はご注文時の参考価格となります。
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-315-36995-2

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著者・編者Dunn, Corey M.,
シリーズTextbooks in Mathematics
出版社(CRC Press, UK)
出版年月2023
ページ数418 pp.
言語ENG
ニュース番号＜M25-3420＞

解説

Introduction to Analysis is an ideal text for a one semester course on analysis. The book covers standard material on the real numbers, sequences, continuity, differentiation, and series, and includes an introduction to proof. The author has endeavored to write this book entirely from the student's perspective: there is enough rigor to challenge even the best students in the class, but also enough explanation and detail to meet the needs of a struggling student.

From the Author to the student:

"I vividly recall sitting in an Analysis class and asking myself, 'What is all of this for?' or 'I don't have any idea what's going on.' This book is designed to help the student who finds themselves asking the same sorts of questions, but will also challenge the brightest students."

  • Chapter 1 is a basic introduction to logic and proofs.

  • Informal summaries of the idea of proof provided before each result, and before a solution to a practice problem.

  • Every chapter begins with a short summary, followed by a brief abstract of each section. Each section ends with a concise and referenced summary of the material which is designed to give the student a "big picture" idea of each section.

  • There is a brief and non-technical summary of the goals of a proof or solution for each of the results and practice problems in this book, which are clearly marked as "Idea of proof," or as "Methodology", followed by a clearly marked formal proof or solution.

  • Many references to previous definitions and results.

  • A "Troubleshooting Guide" appears at the end of each chapter that answers common questions.