vbid/9789811029325

Description

This textbook provides students with a solid introduction to the techniques of approximation commonly used in data analysis across physics and�astronomy. The choice of methods included is based on their usefulness and educational value, their applicability to a broad range of problems�and their utility in highlighting key mathematical concepts.�� Modern astronomy reveals an evolving universe rife with transient sources,�mostly discovered – few predicted – in multi-wavelength observations. Our window of observations now includes electromagnetic radiation, gravitational waves and�neutrinos. For the practicing astronomer, these are highly interdisciplinary developments that pose a novel challenge to be well-versed in astroparticle�physics and data-analysis. The book is organized to be largely self-contained, starting from basic concepts and techniques in the formulation of problems and methods of approximation commonly�used in computation and numerical analysis. This includes root finding, integration, signal detection algorithms involving the Fourier transform and�examples of numerical integration of ordinary differential equations and some illustrative aspects of modern computational implementation.�Some of the topics highlighted introduce the reader to selected problems with comments on numerical methods and implementation on modern platforms including�CPU-GPU computing. Developed from lectures on mathematical physics in astronomy to advanced undergraduate and beginning graduate students, this book will be a valuable guide for�students and a useful reference for practicing researchers. To aid understanding, exercises are included at the end of each chapter. Furthermore, some of the�exercises are tailored to introduce modern symbolic computation.Typham this is the title: Introduction to Methods of Approximation in Physics and Astronomy