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Adventures in the World of Matrices (Contemporary Mathematical Studies)

3 July 2010

**Adventures in the World of Matrices (Contemporary Mathematical Studies)**

Publisher: Nova Science | English | October 29, 2007 | ISBN: 1600217184 | PDF | 194 pages | 1.6Mb

The purpose of the book is to give the reader a feeling for the beauty and the surprises of mathematical research by building up step by step a theory of cycle matrices. The notions of matrix and cycle are presented for those readers who do not yet know the concepts. Then, starting and experimenting with cycle matrices of low dimensions and engaging the readers in various activities, beautiful results are obtained with attractive geometrical interpretation. Gradually the results are extended to cycle matrices of higher dimensions and then generalised. A note is included for those readers who would like to use a computer in exploring cycle matrices. Two appendices give the possibility to further use the computer by exploring inverses matrices and determinants.

3 July 2010

Publisher: Nova Science | English | October 29, 2007 | ISBN: 1600217184 | PDF | 194 pages | 1.6Mb

The purpose of the book is to give the reader a feeling for the beauty and the surprises of mathematical research by building up step by step a theory of cycle matrices. The notions of matrix and cycle are presented for those readers who do not yet know the concepts. Then, starting and experimenting with cycle matrices of low dimensions and engaging the readers in various activities, beautiful results are obtained with attractive geometrical interpretation. Gradually the results are extended to cycle matrices of higher dimensions and then generalised. A note is included for those readers who would like to use a computer in exploring cycle matrices. Two appendices give the possibility to further use the computer by exploring inverses matrices and determinants.

An Introduction to Matrices, Sets and Groups for Science Students

2 June 2011

**An Introduction to Matrices, Sets and Groups for Science Students**

164 pages | Aug 31 2010 |ISBN:0486650774 | PDF | 5.5 Mb

I highly recommend this Dover text as either a self-tutorial or as a quick review of matrices. I initially thought that a text for the "non-mathematics science student" might prove too elementary to be useful. It actually provides a thorough, concise (but not terse) introduction to matrices that is quite appropriate for undergraduate students in physics or chemistry. The sections on eigenvalues and eigenvectors, on diagonalization of matrices, and on functions of matrices were particularly good.

2 June 2011

164 pages | Aug 31 2010 |ISBN:0486650774 | PDF | 5.5 Mb

I highly recommend this Dover text as either a self-tutorial or as a quick review of matrices. I initially thought that a text for the "non-mathematics science student" might prove too elementary to be useful. It actually provides a thorough, concise (but not terse) introduction to matrices that is quite appropriate for undergraduate students in physics or chemistry. The sections on eigenvalues and eigenvectors, on diagonalization of matrices, and on functions of matrices were particularly good.

A Textbook Of Matrices

9 April 2010

**A Textbook of Matrices**

Atlantic Publishers & Distributors (P) Ltd | 2008 | ISBN: 8126910011 | 467 pages | PDF | 14 MB

A matrix is an ordered set of numbers listed in rectangular form having certain rows and columns. The knowledge of matrices is considered necessary in various areas of Mathematics and a wide variety of other subjects, like Chemistry, Sociology, Genetics and Electrical Engineering. The importance of Matrix Theory has greatly increased with the invention of Electronic Brain—Computer. It has become a powerful tool of modern Mathematics and is now extensively used in the allied fields of Mathematics including Probability, Statistics, Quantum Mechanics, Mechanics, etc. A Textbook of Matrices covers all the important topics on matrices.

9 April 2010

Atlantic Publishers & Distributors (P) Ltd | 2008 | ISBN: 8126910011 | 467 pages | PDF | 14 MB

A matrix is an ordered set of numbers listed in rectangular form having certain rows and columns. The knowledge of matrices is considered necessary in various areas of Mathematics and a wide variety of other subjects, like Chemistry, Sociology, Genetics and Electrical Engineering. The importance of Matrix Theory has greatly increased with the invention of Electronic Brain—Computer. It has become a powerful tool of modern Mathematics and is now extensively used in the allied fields of Mathematics including Probability, Statistics, Quantum Mechanics, Mechanics, etc. A Textbook of Matrices covers all the important topics on matrices.

Lectures on Matrices

10 November 2010

**Lectures on Matrices**

This definitive presentation of matrix theory is the work of one of America’s most significant contributors to this area. The first three chapters take matrix theory up to elementary divisors, proceeding to examinations of vector polynomials and singular matric polynomials. A discussion of compound matrices follows, succeeded by considerations of Hermitian, symmetric, and skew matrices, with a number of interesting proofs of properties. Subsequent chapters are devoted to commutative matrices, matrix functions, and the automorphic transformation of a bilinear form. The final chapter offers a masterly handling of linear associative algebras. ...

10 November 2010

American Mathematical Society 2004 | 208 | ISBN: 0486441679 | PDF | 13 Mb

This definitive presentation of matrix theory is the work of one of America’s most significant contributors to this area. The first three chapters take matrix theory up to elementary divisors, proceeding to examinations of vector polynomials and singular matric polynomials. A discussion of compound matrices follows, succeeded by considerations of Hermitian, symmetric, and skew matrices, with a number of interesting proofs of properties. Subsequent chapters are devoted to commutative matrices, matrix functions, and the automorphic transformation of a bilinear form. The final chapter offers a masterly handling of linear associative algebras. ...

Applications of the Theory of Matrices

12 February 2011

**Applications of the Theory of Matrices**

This text features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Includes complex symmetric, antisymmetric, and orthogonal matrices; singular bundles of matrices and matrices with nonnegative elements. Also features linear differential equations and the Routh-Hurwitz problem.**1959 edition. **...

12 February 2011

2005 | 336 | ISBN: 0486445542 | DJVU | 3 Mb

This text features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Includes complex symmetric, antisymmetric, and orthogonal matrices; singular bundles of matrices and matrices with nonnegative elements. Also features linear differential equations and the Routh-Hurwitz problem.

Elementary Matrices

30 September 2011

**Elementary Matrices**

This book develops the subject of matrices with special reference to differential equations and classical mechanics. It is intended to bring to the student of applied mathematics, with no previous knowledge of matrices, an appreciation of their conciseness, power and convenience in computation. Worked numerical examples, many of which are taken from aerodynamics, are included. ...

30 September 2011

1963 | 436 | ISBN: 0521091551 | DJVU | 3 Mb

This book develops the subject of matrices with special reference to differential equations and classical mechanics. It is intended to bring to the student of applied mathematics, with no previous knowledge of matrices, an appreciation of their conciseness, power and convenience in computation. Worked numerical examples, many of which are taken from aerodynamics, are included. ...

Matrices and Matroids for Systems Analysis

31 August 2010

**Matrices and Matroids for Systems Analysis**

Publisher: Springer 2009 | 483 Pages | ISBN: 3642039936 | PDF | 14 MB

A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis.

This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the last decade. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems.

31 August 2010

Publisher: Springer 2009 | 483 Pages | ISBN: 3642039936 | PDF | 14 MB

A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis.

This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the last decade. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems.

Applications of Random Matrices in Physics

2 July 2012

**Applications of Random Matrices in Physics**

2006 | ISBN: 1402045298 | Pages: 497 | PDF | 6.2 MB

Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.

2 July 2012

2006 | ISBN: 1402045298 | Pages: 497 | PDF | 6.2 MB

Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.

Graphs and Matrices

30 November 2010

**Graphs and Matrices** by R. B. Bapat

Spri--er | 2010 | ISBN: 1848829809 | 171 pages | PDF | 12 MB

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted.

30 November 2010

Spri--er | 2010 | ISBN: 1848829809 | 171 pages | PDF | 12 MB

Graphs and Matrices provides a welcome addition to the rapidly expanding selection of literature in this field. As the title suggests, the book’s primary focus is graph theory, with an emphasis on topics relating to linear algebra and matrix theory. Information is presented at a relatively elementary level with the view of leading the student into further research. In the first part of the book matrix preliminaries are discussed and the basic properties of graph-associated matrices highlighted.

Matrices and Transformations

2 June 2011

**Matrices and Transformations **

133 pages | Aug 31 2010 |ISBN:0486636348 | PDF | 5.5 Mb

This text stresses the use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.

2 June 2011

133 pages | Aug 31 2010 |ISBN:0486636348 | PDF | 5.5 Mb

This text stresses the use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.