Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics.
Numerical and Analytical Methods for Scientists and Engineers Using Mathematica* The electronic component of the book is based on the widely used and highly praised Mathematica software package.
* Each chapter of the bookis a Mathematica notebook with links to web-based material. * The methods are applied to a range of problems taken from physics and engineering. * The book covers elementary and advaned numerical methods used in modern scientific computing.
Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component—modeling—to address real-life problems.
This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation for the methods.
Numerical Methodsnbsp; book is designed as an introductory undergraduate or graduate course for mathematics, science and engineering students of all disciplines. The text covers all major aspects of numerical methods, including numerical computations, matrices and linear system of equations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, and numerical solution of ordinary differential equations.
