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Why Prove It Again?: Alternative Proofs in Mathematical Practice

Why Prove It Again?: Alternative Proofs in Mathematical Practice

Hardcover

AlgebraGeneral MathematicsGeometry

ISBN10: 3319173677
ISBN13: 9783319173672
Publisher: Springer Nature
Published: Jul 24 2015
Pages: 204
Weight: 1.07
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
Proofs in Mathematical Practice.- Motives for Finding Alternative Proofs.- Sums of Integers.- Quadratic Surds.- The Pythagorean Theorem.- The Fundamental Theorem of Arithmetic.- The Infinitude of the Primes.- The Fundamental Theorem of Algebra.- Desargues's Theorem.- The Prime Number Theorem.- The Irreducibility of the Cyclotomic Polynomials.- The Compactness of First-Order Languages.- Other Case Studies.

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