2014; 167 pp; Softcover
MSC: Primary 70; 76; 78;

Print ISBN: 978-1-4704-1701-7
Product Code: MBK/85
List Price: $31.00
AMS Member Price: $24.80
MAA Member Price: $27.90

Sale price: $18.60

Electronic ISBN: 978-1-4704-1889-2
Product Code: MBK/85.E
List Price: $29.00
AMS Member Price: $23.20
MAA Member Price: $26.10

Sale price: $17.40

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Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

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V. I. Arnold

This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.

Arnold's talent for exposition shines in this collection of short chapters on a miscellany of topics. I could not stop reading until I reached the end of the book. This book will entertain and enrich any curious person, whether a layman or a specialist.

—Mark Levi, Penn State University, author of “The Mathematical Mechanic”

This book, which fits all mathematical ages, provides a glimpse into the “laboratory” of one of the most influential mathematicians of our time. Its genre is absolutely unique. A kaleidoscope of intriguing examples illustrating applications of mathematics to real life, intertwines with entertaining and often wildly funny mathematical anecdotes, as well as with profound insights into modern research areas. A brilliant informal exposition, complemented by artful drawings by the author, makes the book a fascinating read.

—Leonid Polterovich, Tel-Aviv University

Readership

All mathematicians and physicists, graduate and undergraduate students interested in Arnold's unique style of explaining natural (mainly physics) phenomena.

Reviews & Endorsements

The remarks provide a glimpse into the background of the history and the culture of science and humanity. This book will entertain and make the reader think. I recommend this fascinating book to any curious person.

-- László Csizmadia, ACTA Sci Math.

Examples teach no less than rules, and errors, more than correct but abstruse proofs. Looking at the pictures in this book, the reader will understand more than learning by rote dozens of axioms (even together with their consequences about what sea the Volga River falls into and what horses eat). Most essays in the book are quite short, and their level of difficulty varies significantly -- some require only knowledge of a high school mathematics and some may be viewed as a serious challenge even for an experienced mathematician. As most texts written by Arnold, the book under review is a quite demanding but very stimulating and inspiring reading featuring original author's illustrations.

-- Zentralblatt Math

This is a wonderful book for browsing, for anyone drawn to physical applications of mathematics or to Arnold himself and the breadth of his interests.

-- MAA Reviews

Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

Base Product Code Keyword List: mbk; MBK; mbk/85; MBK/85; mbk-85; MBK-85

Print Product Code: MBK/85

Online Product Code: MBK/85.E

Title (HTML): Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

Author(s) (Product display): V. I. Arnold

Abstract:

—Mark Levi, Penn State University, author of “The Mathematical Mechanic”

—Leonid Polterovich, Tel-Aviv University

Publication Month and Year: 2014-09-04

Page Count: 167

Cover Type: Softcover

Print ISBN-13: 978-1-4704-1701-7

Online ISBN 13: 978-1-4704-1889-2

Primary MSC: 70; 76; 78

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MAA Book?: false

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SXG Subject: MP

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/mbk-85

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Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-1889-2&pisbn=978-1-4704-1701-7&epc=MBK/85.E&ppc=MBK/85&title=Mathematical%20Understanding%20of%20Nature%3A%20Essays%20on%20Amazing%20Physical%20Phenomena%20and%20Their%20Understanding%20by%20Mathematicians&author=V.%20I.%20Arnold&type=R

Readership:

All mathematicians and physicists, graduate and undergraduate students interested in Arnold's unique style of explaining natural (mainly physics) phenomena.

Reviews:

-- László Csizmadia, ACTA Sci Math.

-- Zentralblatt Math

This is a wonderful book for browsing, for anyone drawn to physical applications of mathematics or to Arnold himself and the breadth of his interests.

-- MAA Reviews

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Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

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Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

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