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Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
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FJD 74
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Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty.
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- I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals epi i+1--Paul Nahin, electrical engineer ? In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I the square root of -1, which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.
| Publisher | Princeton University Press |
| Publication date | April 30, 2006 |
| Edition | First Edition |
| Language | English |
| Print length | 416 pages |
| ISBN-10 | 0691118221 |
| ISBN-13 | 978-0691118222 |
| Item Weight | 1.6 pounds (730 grams) |
| Dimensions | 6.25 x 1.25 x 9.5 inches (15.9 x 3.2 x 24.1 cm) |
| Part of series | Princeton Science Library |
Who Should Buy?
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Mathematics Enthusiasts
Individuals passionate about mathematics will appreciate the exploration of Euler's formula and its applications.
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Students Learning Math
Students studying advanced mathematics will find this book helpful for understanding complex concepts related to Euler's formula.
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Teachers of Math
Educators can use this book as a resource to enhance their teaching strategies and present mathematical concepts more effectively.
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Casual Readers
Non-mathematics readers looking for light literature may find the content too technical and dense.
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Differential Equations Editorial Review
**** "Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills" by Paul Nahin has garnered substantial appreciation from readers, particularly those with a solid foundation in mathematics. The book is lauded for Nahin's clear and engaging writing style, which makes complex mathematical concepts, particularly Euler's formula and its applications, accessible and fascinating. It serves as a rich resource for those already familiar with calculus and complex numbers, making it a hit among engineering and science students. Reviewers have pointed out its wide-ranging explorations of Euler's identity, especially in areas like Fourier series, and how these topics are presented with historical anecdotes that enhance the reading experience. While many find the book enjoyable and enlightening, some have noted its organization as somewhat loose, allowing readers to pick and choose chapters without losing continuity. This aspect can make it feel like a "grab bag" of topics but does not detract from the overall quality of the content. Readers with strong backgrounds in mathematics, especially those who have engaged with Nahin’s earlier work, "An Imaginary Tale," will appreciate the depth of exploration. However, there are criticisms regarding the lack of practical context for some of the mathematical concepts presented. Several readers remarked on the absence of physical interpretations and applications in the initial chapters, occasionally leaving them questioning the relevance of the computations. Additionally, a few noted the presence of typographical errors throughout the text, detracting slightly from the otherwise polished manuscript. Overall, "Dr. Euler's Fabulous Formula" comes highly recommended for mathematically inclined readers, and while it might not serve as a beginner's guide, it shines as a captivating study of advanced mathematical concepts. **
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Pros
- Clear and engaging writing style.
- Rich exploration of Euler's formula and its applications.
- Enhanced with historical anecdotes and interesting stories.
- Serves as a great resource for engineering and science students familiar with calculus.
Cons
- Loose organizational structure; chapters can feel disjointed.
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Features & Benefits
- Discover the revolutionary story behind Euler's famous formula.
- Regarded as the gold standard for mathematical beauty.
- Explores complex numbers' applications in pure and applied mathematics.
- Accessible to readers with basic college calculus knowledge.
- Discusses historical mathematician encounters and modern technology connections.
- Inspires future innovations and applications in mathematics.
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