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Introduction to Methods of Approximation in Physics and Astronomy (Undergraduate Lecture Notes in Physics)

Maurice H. P. M. van Putten

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ISBN 10: 9811029318 / ISBN 13: 9789811029318
Published by Springer, 2017
New Condition: New Hardcover
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Bibliographic Details

Title: Introduction to Methods of Approximation in ...

Publisher: Springer

Publication Date: 2017

Binding: Hardcover

Book Condition: New

Edition: 1st ed. 2017.

About this title


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


&#x201c;This is a thorough and rigorous introduction to the subject, intended for students at the graduate or very advanced undergraduate level. Van Putten (Sejong Univ., South Korea) presents a collection of problems that most readers will find quite challenging to solve. ... Summing Up: Recommended. With reservations. Upper-division undergraduates through faculty and professionals.&#x201d; (T. Barker, Choice, Vol. 55 (10), June 2018)

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