Euler the Master of Us All : The Master of Us All (Dolciani Mathematical Expositions)

Dunham, William

Mathematical Assn of Amer（1999/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 185 p.
• 言語 ENG
• 商品コード 9780883853283
• DDC分類 B

基本説明

"...Gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler's broad shoulders. Such a book has long been overdue...." Martin Gardner.

Full Description

Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

Contents

1. Introduction; 2. Biographical sketch; 3. Euler and number theory; 4. Euler and logarithms; 5. Euler and infinite series; 6. Euler and analytic number theory; 7. Euler and complex variables; 8. Euler and algebra; 9. Euler and geometry; 10. Euler and combinatorics; 11. Conclusion; Appendix - Opera Omnia.