Softcover ISBN:  9781470466183 
Product Code:  DOL/22.S 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781470458416 
Product Code:  DOL/22.E 
List Price:  $30.00 
MAA Member Price:  $22.50 
AMS Member Price:  $22.50 
Softcover ISBN:  9781470466183 
eBook: ISBN:  9781470458416 
Product Code:  DOL/22.S.B 
List Price:  $65.00 $50.00 
MAA Member Price:  $48.75 $37.50 
AMS Member Price:  $48.75 $37.50 
Softcover ISBN:  9781470466183 
Product Code:  DOL/22.S 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781470458416 
Product Code:  DOL/22.E 
List Price:  $30.00 
MAA Member Price:  $22.50 
AMS Member Price:  $22.50 
Softcover ISBN:  9781470466183 
eBook ISBN:  9781470458416 
Product Code:  DOL/22.S.B 
List Price:  $65.00 $50.00 
MAA Member Price:  $48.75 $37.50 
AMS Member Price:  $48.75 $37.50 

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.

Table of Contents

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


Reviews

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


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