Author: Jack H. Stocker
Publisher: MacMillan
ISBN: 9780028330518
Category : Mathematics
Languages : en
Pages : 850
Book Description
Glencoe Mathematics
Author: Jack H. Stocker
Publisher: MacMillan
ISBN: 9780028330518
Category : Mathematics
Languages : en
Pages : 850
Book Description
Publisher: MacMillan
ISBN: 9780028330518
Category : Mathematics
Languages : en
Pages : 850
Book Description
Galois Connections and Applications
Author: K. Denecke
Publisher: Springer Science & Business Media
ISBN: 1402018983
Category : Mathematics
Languages : en
Pages : 511
Book Description
Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu man thinking wherever logical or mathematical reasoning about cer tain hierarchical structures is involved. Order-theoretically, a Galois connection is given simply by two opposite order-inverting (or order preserving) maps whose composition yields two closure operations (or one closure and one kernel operation in the order-preserving case). Thus, the "hierarchies" in the two opposite worlds are reversed or transported when passing to the other world, and going forth and back becomes a stationary process when iterated. The advantage of such an "adjoint situation" is that information about objects and relationships in one of the two worlds may be used to gain new information about the other world, and vice versa. In classical Galois theory, for instance, properties of permutation groups are used to study field extensions. Or, in algebraic geometry, a good knowledge of polynomial rings gives insight into the structure of curves, surfaces and other algebraic vari eties, and conversely. Moreover, restriction to the "Galois-closed" or "Galois-open" objects (the fixed points of the composite maps) leads to a precise "duality between two maximal subworlds".
Publisher: Springer Science & Business Media
ISBN: 1402018983
Category : Mathematics
Languages : en
Pages : 511
Book Description
Galois connections provide the order- or structure-preserving passage between two worlds of our imagination - and thus are inherent in hu man thinking wherever logical or mathematical reasoning about cer tain hierarchical structures is involved. Order-theoretically, a Galois connection is given simply by two opposite order-inverting (or order preserving) maps whose composition yields two closure operations (or one closure and one kernel operation in the order-preserving case). Thus, the "hierarchies" in the two opposite worlds are reversed or transported when passing to the other world, and going forth and back becomes a stationary process when iterated. The advantage of such an "adjoint situation" is that information about objects and relationships in one of the two worlds may be used to gain new information about the other world, and vice versa. In classical Galois theory, for instance, properties of permutation groups are used to study field extensions. Or, in algebraic geometry, a good knowledge of polynomial rings gives insight into the structure of curves, surfaces and other algebraic vari eties, and conversely. Moreover, restriction to the "Galois-closed" or "Galois-open" objects (the fixed points of the composite maps) leads to a precise "duality between two maximal subworlds".
Glencoe Mathematics
Connections in Combinatorial Optimization
Author: András Frank
Publisher: OUP Oxford
ISBN: 0199205272
Category : Mathematics
Languages : en
Pages : 664
Book Description
Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.
Publisher: OUP Oxford
ISBN: 0199205272
Category : Mathematics
Languages : en
Pages : 664
Book Description
Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.
Graph Connections
Author: Lowell W. Beineke
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 312
Book Description
This new book introduces mathematicians to the applicability of graph theory to other areas, from number theory to linear algebra, neural networks, and finance. This is achieved through a series of expository chapters, each written by an expert in a different field. Each chapter has been carefully edited so that the terminology and notation are as standardized as possible. The book will be useful to both graph theorists and practitioners in other areas.
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 312
Book Description
This new book introduces mathematicians to the applicability of graph theory to other areas, from number theory to linear algebra, neural networks, and finance. This is achieved through a series of expository chapters, each written by an expert in a different field. Each chapter has been carefully edited so that the terminology and notation are as standardized as possible. The book will be useful to both graph theorists and practitioners in other areas.
Mathematics
Author:
Publisher: McGraw-Hill/Glencoe
ISBN: 9780028252186
Category : Algebra
Languages : en
Pages : 0
Book Description
Publisher: McGraw-Hill/Glencoe
ISBN: 9780028252186
Category : Algebra
Languages : en
Pages : 0
Book Description
Connections in Discrete Mathematics
Author: Steve Butler
Publisher: Cambridge University Press
ISBN: 1107153980
Category : Mathematics
Languages : en
Pages : 367
Book Description
Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.
Publisher: Cambridge University Press
ISBN: 1107153980
Category : Mathematics
Languages : en
Pages : 367
Book Description
Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.
Discrete Mathematics Through Applications
Author: Nancy Crisler
Publisher: Macmillan
ISBN: 071670000X
Category : Mathematics
Languages : en
Pages : 640
Book Description
Listen here for author Nancy Crisler's introduction to Discrete Mathematics Through Applications. Written specifically for high school courses, Discrete Mathematics Through Applications is designed to help you put the established NCTM Standards for Discrete Math to work in your classroom, in a way that promotes active learning, critical thinking, and fully-engaged student participation. With this text, students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning and communication skills. The new edition adds new topics and significantly revised exercise sets and enhanced supplements.
Publisher: Macmillan
ISBN: 071670000X
Category : Mathematics
Languages : en
Pages : 640
Book Description
Listen here for author Nancy Crisler's introduction to Discrete Mathematics Through Applications. Written specifically for high school courses, Discrete Mathematics Through Applications is designed to help you put the established NCTM Standards for Discrete Math to work in your classroom, in a way that promotes active learning, critical thinking, and fully-engaged student participation. With this text, students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning and communication skills. The new edition adds new topics and significantly revised exercise sets and enhanced supplements.
Complex Analysis
Author: Peter Ebenfelt
Publisher: Springer Science & Business Media
ISBN: 3034600097
Category : Mathematics
Languages : en
Pages : 353
Book Description
This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.
Publisher: Springer Science & Business Media
ISBN: 3034600097
Category : Mathematics
Languages : en
Pages : 353
Book Description
This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.
For All Practical Purposes
Author:
Publisher: Macmillan
ISBN: 9781429209007
Category : Mathematics
Languages : en
Pages : 844
Book Description
By the Consortium for Mathematics and Its Applications.
Publisher: Macmillan
ISBN: 9781429209007
Category : Mathematics
Languages : en
Pages : 844
Book Description
By the Consortium for Mathematics and Its Applications.