Scientific computing is a collection of tools, techniques and theories required to develop and solve mathematical models in science and engineering on a computer. This timely book provides the various skills and techniques needed in scientific computing. The topics range in difficulty from elementary to advanced, and all the latest fields in scientific computing are covered such as matrices, numerical analysis, neural networks, genetic algorithms, etc. Presented in the format of problems and detailed solutions, important concepts and techniques are introduced and developed. Many problems...

Scientific computing is a collection of tools, techniques and theories required to develop and solve mathematical models in science and engineering on a computer. This timely book provides the various skills and techniques needed in scientific computing. The topics range in difficulty from elementary to advanced, and all the latest fields in scientific computing are covered such as matrices, numerical analysis, neural networks, genetic algorithms, etc. Presented in the format of problems and detailed solutions, important concepts and techniques are introduced and developed. Many problems...

- New chapter on Discrete Hidden Markov Models with code
- An additional chapter that includes Support Vector Machine, Kuhn-Tucker Conditions and Lagrange Multiplier with code
- A new section on Fuzzy Clustering

In recent decades, the study of signal processing has become increasingly complex, with new techniques and applications constantly being developed for the processing, transformation, and interpretation of signals. This book provides a comprehensive introduction to the traditional and modern methods used in signal processing. It is designed to impart to the reader the mathematical techniques used in modelling signals and systems, encompassing standard mathematical tools as well as newer techniques such as wavelets and neural networks. C++ and Java implementations furnish these descriptions....

Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. The possibilities of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest. This book supplies a collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as to research workers in these fields. All the important concepts and topics such as quantum gates and quantum circuits, entanglement,...

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.

The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail. The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs. The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in...

This book gives a comprehensive introduction to computer algebra together with advanced topics in this field. It provides a detailed coverage of the mathematics of computer algebra as well as a step-by-step guide to implement a computer algebra system in the object-oriented language C++. The used tools from C++ are introduced in detail. Numerous examples from mathematics, physics and engineering are presented to illustrate the system's capabilities. Computer algebra implementations in LISP and Haskell are also included. In addition, gene expression programming and multiexpression programming...

This book provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. All modern fields in Theoretical and Mathematical Physics are covered. It is the only book which covers all the new techniques and methods in theoretical and mathematical physics.

Third edition updated with: Exercises in: Hilbert space theory, Lie groups, Matrix-valued differential forms, BoseFermi operators and string theory. All other chapters have been updated with new problems and materials. Most chapters contain an introduction to the...