実解析：数学・応用科学・工学の学部生向け問題集<br>Real Analysis : An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

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実解析：数学・応用科学・工学の学部生向け問題集
Real Analysis : An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 536 p.
  • 言語 ENG
  • 商品コード 9781032510262
  • DDC分類 515

Full Description

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike.

Features

Hundreds of problems and solutions

Can be used as a stand-alone problem book, or in conjunction with the author's textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487
Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis

Contains explanatory figures, detailed techniques, tricks, hints, and "recipes" on how to proceed once we have a calculus problem in front of us.

Contents

1. The Field of Real Numbers. 2. The Field of Complex Numbers. 3. Sequences of Real Numbers. Convergence. 4. Continuous Functions. 5. Differentiable Functions. 6. Riemann Integral. 7. Numerical Series. 8. Power Series. Function Sequences and Series.