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Complex Proofs of Real Theorems
Language: en
Pages: 106
Authors: Peter D. Lax
Categories: Mathematics
Type: BOOK - Published: 2011-12-21 - Publisher: American Mathematical Soc.

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Complex Proofs of Real Theorems is an extended meditation on Hadamard's famous dictum, ``The shortest and best way between two truths of the real domain often p
The Fundamental Theorem of Algebra
Language: en
Pages: 220
Authors: Benjamin Fine
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from thr
Real and Complex Analysis
Language: en
Pages: 452
Authors: Walter Rudin
Categories: Mathematical analysis
Type: BOOK - Published: 1978 - Publisher:

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The Prime Number Theorem
Language: en
Pages: 266
Authors: G. J. O. Jameson
Categories: Mathematics
Type: BOOK - Published: 2003-04-17 - Publisher: Cambridge University Press

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At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tel
Modern Classical Homotopy Theory
Language: en
Pages: 862
Authors: Jeffrey Strom
Categories: Mathematics
Type: BOOK - Published: 2011-10-19 - Publisher: American Mathematical Soc.

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The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category