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A mathematician's scrapbook highlights and surprises from across a career William Dunham
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Dunham, William, 1947- author.
- Language:
- English
- Subjects (All):
- Mathematics.
- Genre:
- miscellanies.
- Trivia and miscellanea
- Trivia and miscellanea.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cham, Switzerland Birkhäuser [2026]
- Summary:
- "In studying mathematics, one can encounter surprises, whether in results that seem astonishing or in proofs that lead down unexpected paths. Over his career, the author came across many such gems. This book includes his favorites and invites readers to experience the same sense of wonder they inspired in him. Here are results about number theory, Euclidean geometry, trigonometry, algebra, and infinite series, with stories from the history of mathematics added to the mix. There are theorems from such masters as Euler, Newton, and Ramanujan, while some lesser known mathematicians get their moments in the spotlight. Although the author does not avoid technical details, his narrative style makes the book accessible to anyone with an interest in mathematics"-- Springer Nature Link
- Contents:
- Simple things
- The infinitude of primes : Euclid, Eratosthenes, and Erdős
- On the twin prime conjecture
- On the twin composite conjecture
- A prime family resemblance
- Once more, into the primes…
- Your humble servant, I. Newton
- Newton’s (original) method-or-though this be method, yet there is madness in’t
- The first great max/min problem
- The roots of all evil
- √2 and a shaggy-dog story
- A Ramanujan morsel
- The biblical value of π … or not
- The power of powers of 3
- The demonic harmonic series
- Euler sums a series …
- The math matriarchs of Bryn Mawr
- The triangle inequality in Euclid
- Isosceles triangles
- My favorite proof of Morley’s theorem (as of this morning)
- Euclid, Euler, and the regular solids
- The magic of commutativity
- Wondrous formulae
- Proving is believing
- Mathematics and the humanities
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (Springer Nature Link, viewed July 8, 2026)
- Other Format:
- Print version Dunham, William, 1947- Mathematician's scrapbook
- ISBN:
- 9783031814181
- 3031814185
- OCLC:
- 1602207144
- Access Restriction:
- Restricted for use by site license
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