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9783319435992

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The monograph could be used as a complementary source for classical Linear Algebra as well as an introductory book to Commutative Algebra and a starting lecture for Computer Algebra. For an interested reader it could be also a research monograph for an introduction to modern algebra. Even an experienced reader will discover new and unexpected aspects of the theory. (Peter Schenzel, zbMATH 1360.13001, 2017) The book is well-written and includes many examples. Each chapter begins with a summary that motivates the ... mathematics to follow, and every method is accompanied by an algorithms ... . The book contains many new results and concepts, along with known ideas drawn from a widely scattered literature. ... Overall, this book is a worthy contribution to both linear and commutative algebra. (David A. Cox, Computeralgebra Rundbrief, 2017) The book is a textbook for advanced undergraduate and for graduate courses. Surprisingly, the experienced reader will also find new and unexpected aspects. I like the humorous style of the authors. The funny quotations help one enjoy the topic. (Mathematical Reviews, 2017)

The monograph could be used as a complementary source for classical Linear Algebra as well as an introductory book to Commutative Algebra and a starting lecture for Computer Algebra. For an interested reader it could be also a research monograph for an introduction to modern algebra. Even an experienced reader will discover new and unexpected aspects of the theory. (Peter Schenzel, zbMATH 1360.13001, 2017) The book is well-written and includes many examples. Each chapter begins with a summary that motivates the ... mathematics to follow, and every method is accompanied by an algorithms ... . The book contains many new results and concepts, along with known ideas drawn from a widely scattered literature. ... Overall, this book is a worthy contribution to both linear and commutative algebra. (David A. Cox, Computeralgebra Rundbrief, 2017) The book is a textbook for advanced undergraduate and for graduate courses. Surprisingly, the experienced reader will also find new and unexpected aspects. I like the humorous style of the authors. The funny quotations help one enjoy the topic. (Mathematical Reviews, 2017)

The monograph could be used as a complementary source for classical Linear Algebra as well as an introductory book to Commutative Algebra and a starting lecture for Computer Algebra. For an interested reader it could be also a research monograph for an introduction to modern algebra. Even an experienced reader will discover new and unexpected aspects of the theory. (Peter Schenzel, zbMATH 1360.13001, 2017)

Author Information

Martin Kreuzer holds the Chair of Symbolic Computation at the University of Passau, Germany. Starting out in Commutative Algebra and Algebraic Geometry, his research interests have developed further into Computer Algebra and its applications, including industrial applications and algebraic cryptography. He is the author or co-author of five monographs on computational algebra, cryptography and logic. In his spare time, he plays correspondence chess, for which he is an international grandmaster and a severalfold world team champion. Lorenzo Robbiano is a retired professor at the University of Genova, Italy. He is the co-author (with Martin Kreuzer) of the two books “Computational Commutative Algebra 1” and “Computational Commutative Algebra 2”. Since 1987 he has been the team leader of the project CoCoA. His research interests have evolved from Algebraic Geometry to Commutative Algebra, and in the last years to Computer Algebra.

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