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Author: Andrew Wheeler Phillips
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 172
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Book Description
Author: Andrew Wheeler Phillips
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 172
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Book Description
Author: Arthur Schultze
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 120
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Book Description
Author: Ravindra B. Bapat
Publisher: Springer
ISBN: 1447165691
Category : Mathematics
Languages : en
Pages : 197
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Book Description
This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.
Author: Gary Asp
Publisher:
ISBN: 9781559532792
Category : Algebra
Languages : en
Pages : 0
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Book Description
With engaging activities that students complete with graphing calculators or software, "Graphic Algebra" helps students develop new insights into algebra by providing easy-to-use lessons. (Education/Teaching)
Author: Andrew Wheeler Phillips
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 172
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Book Description
Author: Andrew Wheeler Phillips
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 172
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Book Description
Author: Jeremy Kepner
Publisher: SIAM
ISBN: 9780898719918
Category : Mathematics
Languages : en
Pages : 388
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Book Description
The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.
Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486425649
Category : Mathematics
Languages : en
Pages : 116
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Book Description
This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.
Author: Matilda Auerbach
Publisher:
ISBN:
Category : Graphic arts
Languages : en
Pages : 72
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Book Description
Author: Fletcher Dunn
Publisher: CRC Press
ISBN: 1568817231
Category : Computers
Languages : en
Pages : 848
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Book Description
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
