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Mathematician's Scrapbook: Highlights and Surprises from Across a Career [Pehme köide]

  • Formaat: Paperback / softback, 154 pages, kõrgus x laius: 235x155 mm, 27 Illustrations, color; 38 Illustrations, black and white; VI, 154 p. 65 illus., 27 illus. in color., 1 Paperback / softback
  • Ilmumisaeg: 07-Oct-2025
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 3031814177
  • ISBN-13: 9783031814174
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Mathematician's Scrapbook: Highlights and Surprises from Across a CareerSuurem pilt
  • Formaat: Paperback / softback, 154 pages, kõrgus x laius: 235x155 mm, 27 Illustrations, color; 38 Illustrations, black and white; VI, 154 p. 65 illus., 27 illus. in color., 1 Paperback / softback
  • Ilmumisaeg: 07-Oct-2025
  • Kirjastus: Birkhauser Verlag AG
  • ISBN-10: 3031814177
  • ISBN-13: 9783031814174
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783031814174.html
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.





 





[ This book] is irresistibly fun. It has everything youd expect from Dunham: delightful math and charming stories, all delivered with his trademark clarity, wit, and enthusiasm. 





-    Steven Strogatz, Cornell University, and author of Infinite Powers





This is a great read, tremendously entertaining (and informative).  Dunham is truly the master of us all with regards to writing about fascinating mathematics.





-    Clifford Taubes, Harvard University





As always, Dunhams unique gift for mathematical storytelling shines through. [ His] enthusiasm for mathematics jumps off the page and sweeps his reader along on a joyous intellectual ride.  





-    Linda McGuire, Muhlenberg College





As the books title promises, unexpected results abound.  I encourage you to let Dunham be your guide to some of the wonders of mathematics you are in for an intellectual treat.





-    Howard Stone, Princeton University

Preface.- Simple Things.- The Infinitude of Primes: Euclid, Ersatz, and Erdos.- On the Twin Prime Conjecture.- On the Twin Composite Conjecture.- A Prime Family Resemblance.- Once More, Into the Primes.- Your Humble Servant Is, Newton.- Newton's (Original) Method.- The First Great Max/Min Problem.- The Roots of All Evil.- What's Your Sign.- The Square Root of Two and a Shaggy-Log Story.- A Ramanujan Morsel. The Biblical Value of Pi, or Not.- The Power of the Powers of Three.- The Demonic Harmonic Series.- Euler Sums a Series.- The Math Matriarchs of Bryn Mawr.- The Triangle Inequality in Euclid.- Isosceleast Triangles.- My Favorite Proof of Morely'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.- References.

For over 40 years, William Dunham has been a professor, an author, and a frequent speaker on mathematics history.  Until his retirement, he was the Truman Koehler Professor of Mathematics at Muhlenberg College, and he has held visiting positions at Harvard, Princeton, Penn, and Cornell.  He is now a Research Associate in Mathematics at Bryn Mawr College.





Over his career, Dunham authored four books and edited two others.  All were aimed at broad mathematical audiences.  These volumes, collectively, have appeared in 16 international translations.