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How Euler Did Even More de C. Edward Sandifer

How Euler Did Even More

Autor C. Edward Sandifer
en Limba Engleză Paperback – 29 apr 2015
C. Edward Sandifer has been studying Euler for decades and is one of the world's leading experts on his work. This book is the second collection of Sandifer's 'How Euler Did It' columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician in history, this volume will leave the reader marveling at Euler's clever inventiveness, which Sandifer explicates and puts in context.
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Specificații

ISBN-13: 9780883855843
ISBN-10: 0883855844
Pagini: 247
Dimensiuni: 152 x 228 x 14 mm
Greutate: 0.45 kg
Editura: The Mathematical Association of America
Colecția The Mathematical Association of America
Locul publicării:Washington DC, United States

Cuprins

Preface; Part I. Geometry: 1. The Euler line; 2. A forgotten Fermat problem; 3. A product of secants; 4. Curves and paradox; 5. Did Euler prove Cramer's Rule?; Part II. Number Theory: 6. Factoring F5; 7. Rational trigonometry; 8. Sums (and differences) that are squares; Part III. Combinatorics: 9. St Petersburg paradox; 10. Life and death – part 1; 11. Life and death – part 2; Part IV. Analysis: 12. e, π and i: why is 'Euler' in the Euler identity; 13. Multi-zeta functions; 14. Sums of powers; 15. A theorem of Newton; 16. Estimating π; 17. Nearly a cosine series; 18. A series of trigonometric powers; 19. Gamma the function; 20. Gamma the constant; 21. Partial fractions; 22. Inexplicable functions; 23. A false logarithm series; 24. Introduction to complex variables; 25. The Moon and the differential; Part V. Applied Mathematics: 26. Density of air; 27. Bending light; 28. Saws and modeling; 29. PDEs of fluids; 30. Euler and gravity; Part VI. Euleriana: 31. Euler and the hollow earth: fact or fiction?; 32. Fallible Euler; 33. Euler and the pirates; 34. Euler as a teacher – part 1; 35. Euler as a teacher – part 2; Index; About the author.

Notă biografică

Descriere

A collection of lively expository columns on the work of Euler, written by a leading scholar.