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This book provides a self-contained and accessible introduction to linear and multilinear algebra. Besides the standard techniques for linear and multilinear algebra many advanced topics are included. Emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, computer graphics, fractals, quantum mechanics and quantum computing. All these fields are covered in detail. A key feature of the book is the many detailed worked-out examples. Computer algebra applications are also given. Each chapter includes useful exercises. The book is well suited for pure and applied mathematicians as well as theoretical physicists and engineers. New topics added to the second edition are: braid-like relations, Clebsch Gordan expansion, nearest Kronecker product, Clifford and Pauli group, universal enveloping algebra, computer algebra and Kronecker product.
Provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. This book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, it includes more than 100 worked out examples and 150 ready to run programs.
Provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. This book covers the techniques and methods in theoretical and mathematical physics.
Offers various techniques and methods used in nonlinear dynamics. This book discusses the concepts and underlying mathematics. It contains more than 150 ready-to-run programs. It is intended for a one-year course at both the junior and senior levels in nonlinear dynamics.
Presents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code.
Offers an introduction to computer algebra. This book provides coverage of the mathematics of computer algebra as well as guidance to implement a computer algebra system in the object-oriented language C++. It also introduces the used tools from C++.
A collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is suitable for both graduate and undergraduate mathematics students. It covers systems of linear equations, linear differential equations, functions of matrices and the Kronecker product.
Many problems include software simulations. Algorithms have detailed implementations in C++ or Java. This book should prove to be useful not only to students and research workers in the fields of scientific computing, but also to teachers of this subject who will find this text useful as a supplement.
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