Cantitate/Preț
Produs

Computational Linear and Commutative Algebra

Autor Martin Kreuzer, Lorenzo Robbiano
en Limba Engleză Hardback – 16 sep 2016
This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems.
This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 34256 lei  38-45 zile
  Springer International Publishing – 14 iun 2018 34256 lei  38-45 zile
Hardback (1) 72005 lei  38-45 zile
  Springer International Publishing – 16 sep 2016 72005 lei  38-45 zile

Preț: 72005 lei

Preț vechi: 88895 lei
-19%

Puncte Express: 1080

Preț estimativ în valută:
13795 14943$ 11830£

Carte tipărită la comandă

Livrare economică 06-13 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783319435992
ISBN-10: 331943599X
Pagini: 325
Ilustrații: XVIII, 321 p. 1 illus.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 6.33 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Foreword.- Introduction.- 1 Endomorphisms.- 2 Families of Commuting Endomorphisms.- 3 Special Families of Endomorphisms.- 4 Zero-Dimensional Affine Algebras.- 5 Computing Primary and Maximal Components.- 6 Solving Zero-Dimensional Polynomial Systems.- Notation.- References.- Index.

Recenzii

“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)

Notă biografică

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.

Caracteristici

Most of the material is not yet available in book form
Combines linear and commutative algebra in a novel, unified way
Every chapter starts with a lively and humorous introduction to the topic
Follows the two well-received and well-known volumes “Computational Commutative Algebra 1+2” by the same authors
Written by active researchers in computer algebra
Authors have extensive first-hand experience in developing and implementing computer algebra methods via the development of the computer algebra system CoCoA
CoCoA files for the examples available as Electronic Supplementary Material
Includes supplementary material: sn.pub/extras