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.
This book examines the huge scope of mathematical areas explored and developed by Leonhard Euler.
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
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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