Beautiful mathematics
著者
書誌事項
Beautiful mathematics
（MAA spectrum）
Mathematical Association of America, c2011
大学図書館所蔵 件 / 全8件
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注記
Includes bibliographical references (p. 165-168) and index
内容説明・目次
内容説明
Mathematical ideas have an aesthetic appeal that can be appreciated by anyone who has the time and dedication to investigate. Mathematical topics are presented in the categories of words, images, formulas, theorems, proofs, solutions and unsolved problems. Readers will discover exciting mathematics topics from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared. Who should read this book? There is something new for any mathematically minded person. High school and college students will find motivation for their mathematical studies. Professional mathematicians will find fresh examples of mathematical beauty to pass along to others. Within each chapter, the topics require progressively more prerequisite knowledge. An appendix gives background definitions and theorems, while another gives challenging exercises (with solutions).
目次
- Preface
- 1. Imaginative words
- 2. Intriguing images
- 3. Captivating formulas
- 4. Delightful theorems
- 5. Pleasing proofs
- 6. Elegant solutions
- 7. Creative problems
- Appendix A. Harmonious foundations
- Appendix B. Eye-opening explorations.
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