CRC Standard Curves and Surfaces with Mathematica, Second Edition

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Publisher : CRC Press
ISBN 13 : 9781584885993
Total Pages : 580 pages
Book Rating : 4.8/5 (859 download)

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Book Synopsis CRC Standard Curves and Surfaces with Mathematica, Second Edition by : David H. von Seggern

Download or read book CRC Standard Curves and Surfaces with Mathematica, Second Edition written by David H. von Seggern and published by CRC Press. This book was released on 2006-10-20 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curves and surfaces as well as the efficient computation of formerly prohibitive graphical plots. Incorporating both of these aspects, CRC Standard Curves and Surfaces with Mathematica®, Second Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions rendered using Mathematica. While the easy-to-use format remains unchanged from the previous edition, many chapters have been reorganized and better graphical representations of numerous curves and surfaces have been produced. An introductory chapter describes the basic properties of curves and surfaces, includes two handy tables of 2-D and 3-D curve and surface transformations, and provides a quick understanding of the basic nature of mathematical functions. To facilitate more efficient and more thorough use of the material, the whole gamut of curves and surfaces is divided into sixteen individual chapters. The accompanying CD-ROM includes Mathematica notebooks of code to construct plots of all the functions presented in the book. New to the Second Edition Chapters on minimal surfaces and Green's functions that involve Poisson, wave, diffusion, and Helmholtz equations Knots and links in the 3-D curves chapter Archimedean solids, duals of Platonic solids, and stellated forms in the regular polyhedra chapter Additional curves and surfaces in almost every chapter Expanded index for quick access to curves or surfaces of interest and to find definitions of common mathematical terms Upgraded Mathematica notebooks with more uniform formatting, more complete documentation on particular curves and surfaces, an explanation of the plotting algorithms, and more explicit designations of variable parameters to easily adjust curve or surface plots

CRC Standard Curves and Surfaces

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Publisher : CRC Press
ISBN 13 : 9780849301964
Total Pages : 418 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis CRC Standard Curves and Surfaces by : David H. von Seggern

Download or read book CRC Standard Curves and Surfaces written by David H. von Seggern and published by CRC Press. This book was released on 1992-12-15 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: CRC Standard Curves and Surfaces is a comprehensive illustrated catalog of curves and surfaces of geometric figures and algebraic, transcendental, and integral equations used in elementary and advanced mathematics. More than 800 graphics images are featured. Based on the successful CRC Handbook of Mathematical Curves and Surfaces, this new volume retains the easy to use "catalog" format of the original book. Illustrations are presented in a common format organized by type of equation. Associated equations are printed in their simplest form along with any notes required to understand the illustrations. Equations and graphics appear in a side-by-side format, with figures printed on righthand pages and text on lefthand pages. Most curves and surfaces are plotted with several parameter selections so that the variation of the mathematical functions are easily understandable. Coverage on algebraic surfaces and transcendental surfaces has been expanded by 30% over the original edition; material on functions in mathematical physics has expanded by 50%. New material on functions of random processes and functions of complex variable surfaces has been added. A complementary software program (see the next title listed in this catalog) enables you to plot all of the functions found in this book.

CRC Standard Curves and Surfaces with Mathematica

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis CRC Standard Curves and Surfaces with Mathematica by : David Henry Von Seggern

Download or read book CRC Standard Curves and Surfaces with Mathematica written by David Henry Von Seggern and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

CRC Standard Curves and Surfaces with Mathematica

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Publisher : CRC Press
ISBN 13 : 1482250225
Total Pages : 460 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis CRC Standard Curves and Surfaces with Mathematica by : David H. von Seggern

Download or read book CRC Standard Curves and Surfaces with Mathematica written by David H. von Seggern and published by CRC Press. This book was released on 2017-07-12 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of this book’s bestselling predecessor, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica® typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to LaTex input. Incorporating these aspects, CRC Standard Curves and Surfaces with Mathematica®, Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. The overall format of the book is largely unchanged from the previous edition, with function definitions and their illustrations presented closely together. New to the Third Edition: A new chapter on Laplace transforms New curves and surfaces in almost every chapter Several chapters that have been reorganized Better graphical representations for curves and surfaces throughout A CD-ROM, including the entire book in a set of interactive CDF (Computable Document Format) files The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve associated with each function. The graphic output of the Manipulate function is shown exactly as rendered in Mathematica, with the exact parameters of the curve’s equation shown as part of the graphic display. This enables readers to gauge what a reasonable range of parameters might be while seeing the result of one particular choice of parameters.

CRC Standard Curves and Surfaces with Mathematica

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Publisher : CRC Press
ISBN 13 : 1420011103
Total Pages : 574 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Standard Curves and Surfaces with Mathematica by : David H. von Seggern

Download or read book CRC Standard Curves and Surfaces with Mathematica written by David H. von Seggern and published by CRC Press. This book was released on 2016-04-19 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition, Mathematica has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curves and surfaces as well as the efficient computation of formerly prohibitive graphical plots. Incorporating both of these aspects, CRC Standard Curves

Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition

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Publisher : CRC Press
ISBN 13 : 9780849371646
Total Pages : 1094 pages
Book Rating : 4.3/5 (716 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition by : mary Gray

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Edition written by mary Gray and published by CRC Press. This book was released on 1997-12-29 with total page 1094 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.

Modern Differential Geometry of Curves and Surfaces with Mathematica

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Publisher : CRC Press
ISBN 13 : 1351992201
Total Pages : 872 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica by : Elsa Abbena

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

Modern Differential Geometry of Curves and Surfaces with Mathematica

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Publisher : CRC Press
ISBN 13 : 142001031X
Total Pages : 1016 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica by : Elsa Abbena

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica written by Elsa Abbena and published by CRC Press. This book was released on 2017-09-06 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

Operations Research

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Publisher : CRC Press
ISBN 13 : 1498780113
Total Pages : 448 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Operations Research by : Michael Carter

Download or read book Operations Research written by Michael Carter and published by CRC Press. This book was released on 2018-08-06 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research: A Practical Introduction is just that: a hands-on approach to the field of operations research (OR) and a useful guide for using OR techniques in scientific decision making, design, analysis and management. The text accomplishes two goals. First, it provides readers with an introduction to standard mathematical models and algorithms. Second, it is a thorough examination of practical issues relevant to the development and use of computational methods for problem solving. Highlights: All chapters contain up-to-date topics and summaries A succinct presentation to fit a one-term course Each chapter has references, readings, and list of key terms Includes illustrative and current applications New exercises are added throughout the text Software tools have been updated with the newest and most popular software Many students of various disciplines such as mathematics, economics, industrial engineering and computer science often take one course in operations research. This book is written to provide a succinct and efficient introduction to the subject for these students, while offering a sound and fundamental preparation for more advanced courses in linear and nonlinear optimization, and many stochastic models and analyses. It provides relevant analytical tools for this varied audience and will also serve professionals, corporate managers, and technical consultants.

Vector Calculus Using Mathematica Second Edition

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Publisher : Steven Tan
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4./5 ( download)

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Book Synopsis Vector Calculus Using Mathematica Second Edition by : Steven Tan

Download or read book Vector Calculus Using Mathematica Second Edition written by Steven Tan and published by Steven Tan. This book was released on 2020-07-11 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to “speak the language.” All these examples and all illustrations can be replicated and used to learn and discover vector calculus in a new and exciting way. Reader can practice with the solutions, and then modify them to solve the particular problems assigned. This should move up problem solving skills and to use Mathematica® to visualize the results and to develop a deeper intuitive understanding. Usually, visualization provides much more insight than the formulas themselves. The second edition is an addition of the first. Two new chapters on line integrals, Green's Theorem, Stokes's Theorem and Gauss's Theorem have been added.

Optimal Estimation of Dynamic Systems, Second Edition

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Publisher : CRC Press
ISBN 13 : 1439839859
Total Pages : 752 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Optimal Estimation of Dynamic Systems, Second Edition by : John L. Crassidis

Download or read book Optimal Estimation of Dynamic Systems, Second Edition written by John L. Crassidis and published by CRC Press. This book was released on 2011-10-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Estimation of Dynamic Systems, Second Edition highlights the importance of both physical and numerical modeling in solving dynamics-based estimation problems found in engineering systems. Accessible to engineering students, applied mathematicians, and practicing engineers, the text presents the central concepts and methods of optimal estimation theory and applies the methods to problems with varying degrees of analytical and numerical difficulty. Different approaches are often compared to show their absolute and relative utility. The authors also offer prototype algorithms to stimulate the development and proper use of efficient computer programs. MATLAB® codes for the examples are available on the book’s website. New to the Second Edition With more than 100 pages of new material, this reorganized edition expands upon the best-selling original to include comprehensive developments and updates. It incorporates new theoretical results, an entirely new chapter on advanced sequential state estimation, and additional examples and exercises. An ideal self-study guide for practicing engineers as well as senior undergraduate and beginning graduate students, the book introduces the fundamentals of estimation and helps newcomers to understand the relationships between the estimation and modeling of dynamical systems. It also illustrates the application of the theory to real-world situations, such as spacecraft attitude determination, GPS navigation, orbit determination, and aircraft tracking.

An Introduction to Partial Differential Equations with MATLAB

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Publisher : CRC Press
ISBN 13 : 1439898472
Total Pages : 670 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis An Introduction to Partial Differential Equations with MATLAB by : Matthew P. Coleman

Download or read book An Introduction to Partial Differential Equations with MATLAB written by Matthew P. Coleman and published by CRC Press. This book was released on 2016-04-19 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Partial Differential Equations with MATLAB, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat,

CRC Standard Mathematical Tables and Formulas

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Publisher : CRC Press
ISBN 13 : 1498777813
Total Pages : 872 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis CRC Standard Mathematical Tables and Formulas by : Daniel Zwillinger

Download or read book CRC Standard Mathematical Tables and Formulas written by Daniel Zwillinger and published by CRC Press. This book was released on 2018-01-03 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not available online. This edition also incorporates important topics such as max plus algebra, financial options, pseudospectra, and proof methods. Newly updated topics reflecting new results include couple analogues, radar, and significant equations of mathematics. New features of the 33rd edition include: Larger trim size, five new topics, and topics which have been modified to update results Provides practical, ready-to-use information and covers important topics that are unfamiliar to many readers, such as visual proofs and sequences Includes hard-to-find and more complete information than found in the Internet such as table of conformal mappings and integral tables Adds descriptions of new functions: Lambert, prolate spheroidal, and Weierstrass Even though the book has been updated it retains the same successful format of previous editions in that material is still presented in a multi-sectional format.

CRC Standard Mathematical Tables and Formulae, 32nd Edition

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Publisher : CRC Press
ISBN 13 : 1439835500
Total Pages : 792 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis CRC Standard Mathematical Tables and Formulae, 32nd Edition by : Daniel Zwillinger

Download or read book CRC Standard Mathematical Tables and Formulae, 32nd Edition written by Daniel Zwillinger and published by CRC Press. This book was released on 2011-06-22 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.

The Second-Order Adjoint Sensitivity Analysis Methodology

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Publisher : CRC Press
ISBN 13 : 1498726496
Total Pages : 327 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Second-Order Adjoint Sensitivity Analysis Methodology by : Dan Gabriel Cacuci

Download or read book The Second-Order Adjoint Sensitivity Analysis Methodology written by Dan Gabriel Cacuci and published by CRC Press. This book was released on 2018-02-19 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and reducing uncertainties in model predictions. The book has many illustrative examples that will help readers understand the complexity of the subject and will enable them to apply this methodology to problems in their own fields. Highlights: • Covers a wide range of needs, from graduate students to advanced researchers • Provides a text positioned to be the primary reference for high-order sensitivity and uncertainty analysis • Applies to all fields involving numerical modeling, optimization, quantification of sensitivities in direct and inverse problems in the presence of uncertainties. About the Author: Dan Gabriel Cacuci is a South Carolina SmartState Endowed Chair Professor and the Director of the Center for Nuclear Science and Energy, Department of Mechanical Engineering at the University of South Carolina. He has a Ph.D. in Applied Physics, Mechanical and Nuclear Engineering from Columbia University. He is also the recipient of many awards including four honorary doctorates, the Ernest Orlando Lawrence Memorial award from the U.S. Dept. of Energy and the Arthur Holly Compton, Eugene P. Wigner and the Glenn Seaborg Awards from the American Nuclear Society.

Group Inverses of M-Matrices and Their Applications

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Publisher : CRC Press
ISBN 13 : 1439888582
Total Pages : 334 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Group Inverses of M-Matrices and Their Applications by : Stephen J. Kirkland

Download or read book Group Inverses of M-Matrices and Their Applications written by Stephen J. Kirkland and published by CRC Press. This book was released on 2012-12-18 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group Inverses of M-Matrices and Their Applications highlights the importance and utility of the group inverses of M-matrices in several application areas. After introducing sample problems associated with Leslie matrices and stochastic matrices, the authors develop the basic algebraic and spectral properties of the group inverse of a general matrix. They then derive formulas for derivatives of matrix functions and apply the formulas to matrices arising in a demographic setting, including the class of Leslie matrices. With a focus on Markov chains, the text shows how the group inverse of an appropriate M-matrix is used in the perturbation analysis of the stationary distribution vector as well as in the derivation of a bound for the asymptotic convergence rate of the underlying Markov chain. It also illustrates how to use the group inverse to compute and analyze the mean first passage matrix for a Markov chain. The final chapters focus on the Laplacian matrix for an undirected graph and compare approaches for computing the group inverse. Collecting diverse results into a single volume, this self-contained book emphasizes the connections between problems arising in Markov chains, Perron eigenvalue analysis, and spectral graph theory. It shows how group inverses offer valuable insight into each of these areas.

曲线与曲面的微分几何

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Publisher :
ISBN 13 : 9787111139119
Total Pages : 503 pages
Book Rating : 4.1/5 (391 download)

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Book Synopsis 曲线与曲面的微分几何 by : Manfredo Perdigão do Carmo

Download or read book 曲线与曲面的微分几何 written by Manfredo Perdigão do Carmo and published by . This book was released on 2004 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 责任者译名:卡莫。