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More About This Textbook
Overview
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.
Editorial Reviews
Math Reviews
Dunham's fine book captures the spirit of Euler's achievements and enables the English reader with a solid background in calculus and school algebra to share the enjoyment.... The first six chapters are a carefully orchestrated examination of Euler's use of algebra and analysis to study perfect numbers, primes, series expansions of transcendental functions, sums of certain series of integer reciprocals and the theory of equations.Booknews
The title derives from Laplace's assessment of Euler (1707-83): "Read Euler ... He is the master of us all." For the mathematically literate, Dunham (mathematics, Muhlenberg College, Allentown, PA) introduces the visually impaired genius (whose picture graces 10 franc Swiss currency); places his contributions to number theory, infinite series, and other diverse areas in a historical context; and outlines his magnum opus, . Annotation c. by Book News, Inc., Portland, Or.Product Details
Related Subjects
Table of 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.