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| Softcover ISBN: | 978-1-4704-6618-3 |
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| AMS Member Price: | $48.75 $37.50 |
| Softcover ISBN: | 978-1-4704-6618-3 |
| Product Code: | DOL/22.S |
| List Price: | $35.00 |
| MAA Member Price: | $26.25 |
| AMS Member Price: | $26.25 |
| eBook ISBN: | 978-1-4704-5841-6 |
| Product Code: | DOL/22.E |
| List Price: | $30.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $22.50 |
| Softcover ISBN: | 978-1-4704-6618-3 |
| eBook ISBN: | 978-1-4704-5841-6 |
| Product Code: | DOL/22.S.B |
| List Price: | $65.00 $50.00 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 22; 1999; 185 ppRecipient of the Mathematical Association of America's Beckenbach Book Prize in 2008!
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.
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Table of Contents
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Chapters
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1. Euler and Number Theory
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2. Euler and Logarithms
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3. Euler and Infinite Series
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4. Euler and Analytic Number Theory
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5. Euler and Complex Variables
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6. Euler and Algebra
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7. Euler and Geometry
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8. Euler and Combinatorics
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Conclusion
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Appendix: Euler’s Opera Omnia
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Reviews
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An ideal book for enlivening undergraduate mathematics ... he [Dunham] has Euler dazzling us with cleverness, page after page.
Choice -
Mathematician William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Professor Dunham 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. It will not need to be done again for a long long time.
Martin Gardner -
William Dunham has done it again! In "Euler: the Master of Us All", he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today.
Ron Graham, Chief Scientist, AT & T
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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.
-
Chapters
-
1. Euler and Number Theory
-
2. Euler and Logarithms
-
3. Euler and Infinite Series
-
4. Euler and Analytic Number Theory
-
5. Euler and Complex Variables
-
6. Euler and Algebra
-
7. Euler and Geometry
-
8. Euler and Combinatorics
-
Conclusion
-
Appendix: Euler’s Opera Omnia
-
An ideal book for enlivening undergraduate mathematics ... he [Dunham] has Euler dazzling us with cleverness, page after page.
Choice -
Mathematician William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Professor Dunham 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. It will not need to be done again for a long long time.
Martin Gardner -
William Dunham has done it again! In "Euler: the Master of Us All", he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham's beautiful clarity and wit, we can follow with amazement Euler's strokes of genius which laid the groundwork for most of the mathematics we have today.
Ron Graham, Chief Scientist, AT & T
