Proofs from THE BOOK
"Proofs from THE BOOK" is a book of
mathematical proofs by Martin Aignerand Günter M. Ziegler. The book is dedicated to the mathematician Paul Erdős, who often referred to "The Book" in which Godkeeps all of the most elegant proofs of mathematical theorems. During a lecture in 1985, Erdős said, "You don't have to believe in God, but you should believe in The Book."
"Proofs from THE BOOK" contains 32 different sections, each devoted to one theorem but often containing multiple proofs and related results. It spans a broad range of mathematical fields:
number theory, geometry, analysis, combinatoricsand graph theory. Erdős himself made many suggestions for the book, but died before its publication. The book is illustrated by Karl Heinrich Hofmann. It has gone through three editions in English, and has also been translated into Persian, French, German, Hungarian, Italian, Japanese, Chinese, Polish, Portuguese, Russian and Spanish. Additional translations into Korean and Turkish are in preparation.
The proofs include:
Proof of Bertrand's postulate
Proof that e is irrational(also showing the irrationality of certain related numbers)
* Five proofs of the infinitude of the primes, including Euclid's and Furstenberg's.
*cite book | author=Aigner, Martin; Ziegler, Günter | title=Proofs from THE BOOK | publisher=Springer | location=Berlin; New York | year=2003 | id=ISBN 3-540-40460-0
* [http://www.math.tu-berlin.de/~ziegler/#Publications:Proofs Günter M. Ziegler's homepage] , including a list of editions and translations.
Mathematical Association of America|title=Read This! Review of Proofs from THE BOOK|year=1999.
Wikimedia Foundation. 2010.
Look at other dictionaries:
Book — A book is a set or collection of written, printed, illustrated, or blank sheets, made of paper, parchment, or other material, usually fastened together to hinge at one side. A single sheet within a book is called a leaf, and each side of a leaf… … Wikipedia
The Importance of Being Earnest — For other uses, see The Importance of Being Earnest (disambiguation). The Importance of Being Earnest The original production of The Importance of Being Earnest in 1895 with Allan Aynesworth as Algernon (left) and George Alexander as Jack (right) … Wikipedia
Great Seal of the United States — Reverse of the Seal … Wikipedia
Through the Looking-Glass — Infobox Book | name = Through the Looking Glass title orig = translator = image caption = Book cover of Through the Looking Glass author = Lewis Carroll illustrator = John Tenniel cover artist = country = United Kingdom language = English series … Wikipedia
Sir Gawain and the Green Knight — is a late 14th century Middle English alliterative romance outlining an adventure of Sir Gawain, a knight of King Arthur s Round Table. In the tale, Sir Gawain accepts a challenge from a mysterious warrior who is completely green, from his… … Wikipedia
Mathematics — Maths and Math redirect here. For other uses see Mathematics (disambiguation) and Math (disambiguation). Euclid, Greek mathematician, 3r … Wikipedia
Trigonometric functions — Cosine redirects here. For the similarity measure, see Cosine similarity. Trigonometry History Usage Functions Generalized Inverse functions … Wikipedia
Voynich manuscript — The Voynich manuscript is a mysterious illustrated book written in an indecipherable text. It is thought to have been written between 1450 and 1520. The author, script and language of the manuscript remain unknown.Over its recorded existence, the … Wikipedia
Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the … Wikipedia
J. R. R. Tolkien — Infobox Writer name = J. R. R. Tolkien birthname = John Ronald Reuel Tolkien imagesize =225px caption = Tolkien in 1972 birthdate = birth date|1892|1|3|df=y birthplace = Bloemfontein, Orange Free State deathdate = 2 September 1973 (aged 81)… … Wikipedia
James Joyce — This article is about the 20th century writer. For other people with the same name, see James Joyce (disambiguation) … Wikipedia