This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.
Contents
The natural, integral and rational numbers
Division and factorization in the integers
Modular arithmetic
Exceptional numbers
Pythagorean triples and sums of squares
Polynomials and unique factorization
Field extensions and splitting fields
Permutations and symmetric polynomials
Real numbers
The complex numbers, the Fundamental Theorem of Algebra and polynomial equations
Quadratic number fields and Pell's equation
Transcendental numbers and the numbers e and π
Compass and straightedge constructions and the classical problems
Euclidean vector spaces
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
B. Fine, A. Gaglione, A. Moldenhauer, G. Rosenberger, D. Spellman.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pells equationTranscendental numbers and the numbers e and pCompass and straightedge constructions and the classical problemsEuclidean vector spaces This two-volume set collects and presents the fundamentals of mathematics in an exciting and pedagogically sound way. The present volume examines the most important basic results in algebra and number theory, along with their proofs, and also their Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783110515848
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Etat : New. I am not aware of any one other book that covers all of the material described above. [.] For this reason, the book under review seems like a very useful reference, one that anyone with an interest in algebra or number theory would enjoy having readil. N° de réf. du vendeur 155315341
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Taschenbuch. Etat : Neu. Neuware - This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell s equationTranscendental numbers and the numbers e and Compass and straightedge constructions and the classical problemsEuclidean vector spaces. N° de réf. du vendeur 9783110515848
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