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ISBN: 3110521539 3110521504 9783110521504 3110521458 9783110521450 9783110521535 Year: 2018 Publisher: Berlin Boston
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This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in ℝnThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and Stone's theorem
Geometry --- Computer science --- Mathematics
Book
ISBN: 3110516268 3110516144 9783110516142 9783110516265 9783110515848 3110515849 Year: 2017 Publisher: Berlin Boston
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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 πCompass and straightedge constructions and the classical problemsEuclidean vector spaces
Algebra. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Mathematics --- Mathematical analysis
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ISBN: 9783110740783 3110740788 Year: 2022 Publisher: Berlin Boston
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In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines many fundamental results in Geometry and Discrete Mathematics along with their proofs and their history. In the second edition we include a new chapter on Topological Data Analysis and enhanced the chapter on Graph Theory for solving further classical problems such as the Traveling Salesman Problem.
Geometry. --- Computer science --- Mathematics. --- Elementary number theory. --- Galois theory. --- Numeral system. --- Polynomial functions. --- Prime number.
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ISBN: 9783110673371 Year: 2021 Publisher: Berlin Boston
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ISBN: 9783110790283 Year: 2023 Publisher: Berlin Boston
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Digital
ISBN: 9783110603996 9783110605259 9783110603934 Year: 2019 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110673371 9783110673401 9783110673340 Year: 2021 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110740783 9783110740936 9783110740776 Year: 2022 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110790283 9783110790399 9783110789980 Year: 2023 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110638387 Year: 2020 Publisher: Berlin Boston
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