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The Mathematical Mechanic – Using Physical Reasoning to Solve Problems: Princeton Science Library

Autor Mark Levi
en Limba Engleză Paperback – 20 mar 2023

"What a fun book! Mark Levi's physical arguments are so clever and surprising that they made me laugh with pleasure, again and again. The Mathematical Mechanic is downright magical--a real treat for anyone who loves intuition."--Steven Strogatz, author of Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life

"This is an absolutely delightful book, full of surprises--even for mathematicians like myself--and beautifully written. It can be enjoyed by anyone, from someone just learning calculus to professional mathematicians and physicists."--Louis Nirenberg, recipient of the National Medal of Science

"This is an extraordinary book that only Mark Levi could have written. No one interested in mathematics or physics can fail to be amazed and delighted. It is witty and charming as well as deep, and accessible with very little background required--a tour de force!"--Nancy Kopell, Boston University, MacArthur Fellow

"The most imaginative and charming book on mechanics and geometry in the last fifty years--for lighting up tea times, for thrilling classrooms, as a present for a special friend, as company on a desert island."--Tadashi Tokieda, University of Cambridge

"This book shows how many mathematical theorems can be proved by looking at them in mechanical or geometrical terms. I found it to be very interesting and fun to read. I recommend it most enthusiastically."--Joseph Keller, recipient of the National Medal of Science

"The Mathematical Mechanic jazzes up the old married couple, math and physics. The book breathes fresh air into the (sometimes stale) relationship and invites us to rethink familiar topics in unfamiliar ways. It disorients us in the most delightful manner. Mark Levi's razor-edge writing and gentle humor permeate every page. I will turn to this book again and again for inspiration on teaching math to high school students."--Gregory Somers, State College Area High School, recipient of the Edyth May Sliffe Award for Distinguished Mathematics Teaching

"This book is a fresh, insightful, and highly original presentation of mathematical physics that will appeal to a broad spectrum of readers. I have not seen anything like it before. It is a book that a physicist or engineer would be proud to have written, and the fact that it has been written by a mathematician only adds to the book's authority. A definite winner."--Paul J. Nahin, author of Digital Dice

"I know of no other book quite like this, or even similar to it. After a couple of sentences of the introduction, I was hooked. The general theme--to show how physical reasoning can illuminate mathematical ideas and simplify proofs--is very attractive. This book will appeal to math enthusiasts at all levels, from high-school students on up."--Philip Holmes, coauthor of Celestial Encounters

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Specificații

ISBN-13: 9780691242057
ISBN-10: 0691242054
Pagini: 216
Dimensiuni: 140 x 214 x 18 mm
Greutate: 0.18 kg
Editura: Princeton University Press
Seria Princeton Science Library


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Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? This title demonstrates how to use physical intuition to solve these and other math problems.