Download Ebook Mathematical Constants (Encyclopedia of Mathematics and its Applications), by Steven R. Finch
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Mathematical Constants (Encyclopedia of Mathematics and its Applications), by Steven R. Finch
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Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
- Sales Rank: #1264931 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2003-08-18
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.30" w x 6.14" l, 2.19 pounds
- Binding: Hardcover
- 624 pages
- Used Book in Good Condition
Review
"Enormous fun, and you don't even have to follow any difficult arguments; a treasure-trove for the mathematical beachcomber."
The Mathematical Gazette
"I think all mathematicians should own this book...there are sections where the author conveys admirably his excitement over some unexpected and beautiful sequence of ideas. I pay the author the earnest compliment of stating that nearly every page in the book is an adventure."
The Mathematical Intelligencer
"Very accessible...The author's clear and engaging style makes the book a pleasure to read."
MAA Reviews
"This is a very useful book...The emphasis is on the mathematical origin of the constants and their interrelationships. The aim is always to be clear and complete, to motivate why a particular constant or idea is important, and to indicate exactly where in the literature one should look for rigorous proofs and further elaboration. This book should be in each mathematical library."
Monatshefte f�r Mathematik
"I consider this book to be an essential component of all mathematical libraries. I have placed it on my 'within the grasp' shelf and have strongly recommended to the college library that it be added to the reference collection."
Charles Ashbacher, amazon.com
About the Author
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Most helpful customer reviews
29 of 29 people found the following review helpful.
An Instant Classic
By Jonathan Sondow
This is an instant classic of mathematical exposition, a superb addition to the series Encyclopedia of Mathematics and Its Applications. Steven Finch's engaging style and lucid, self-contained essays on an amazing variety of topics will appeal to a wide audience. Beginners and experts alike will find a treasure trove of stories, unexpected appearances of numbers, connections between different subjects, and unsolved problems (e.g., if x is the square root of 2, is the tower of powers x^x^x irrational?).
From the Preface: "Material about well-known constants appears early and carefully, for the sake of readers without much mathematical background." The well-known constants include Pythagoras' square root of 2, the Golden Mean, Euler's e and gamma, Archimedes' pi, Apery's zeta(3), Catalan's G, Khintchine's K, Feigenbaum's delta, Madelung's M, and Chaitin's Omega.
There are chapters on constants associated with the fields of number theory, real and complex analysis, approximation of functions, enumeration of discrete structures (some from physics), functional iteration (e.g., paper folding), and geometry. A Table of Constants in decimal form directs the reader to sections of the book. Many sections have extensive lists of references, and Finch indicates exactly where in the literature one should look for rigorous proofs and further elaboration. Author and Subject Indexes complement each other. More than sixty figures illuminate the text.
This book shows the mysterious ubiquity and "unreasonable effectiveness" of certain universal constants. Anyone interested in mathematics will benefit from reading it.
3 of 4 people found the following review helpful.
A beau book
By V. Rio
I write bad in English. Then, my review is in languaje Spanish.
Yo pienso que este es un excelente libro. Lo compre por mi inter�s en teor�a de n�meros. Supon�a que el libro tratar�a sobre muchas de las constantes en este campo de la matem�tica. Y asi es. Es toda una enciclopedia en constantes matem�ticas con una abundante bibliograf�a refiriendo al lector a los papers originales. El trabajo del Profesor Finch es excelente. Un gran libro. Lo recomiendo a todo aquel que ama la matem�tica y ve algo bello en el numero pi, en el numero e, en la ra�z cuadrada de 2, en la constante de Euler, etc.
Rafael Jakimczuk
2 of 2 people found the following review helpful.
A wonderfully written and unique book
By BOGDAN V PETRENKO
I don't know any other book devoted to the subject of mathematical constants. This monograph is very well organized, and it is a pleasure to read. It has seriously helped my co-author and I to write a recently accepted paper.
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