Introduction to Methods of Approximation in Physics and Astronomy

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 util...

Full description

Main Author: van Putten, Maurice H. P. M. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Undergraduate Lecture Notes in Physics,
Subjects:
Online Access:https://doi.org/10.1007/978-981-10-2932-5
LEADER 04698nam a22005415i 4500
001 978-981-10-2932-5
003 DE-He213
005 20210619083313.0
007 cr nn 008mamaa
008 170410s2017 si | s |||| 0|eng d
020 |a 9789811029325  |9 978-981-10-2932-5 
024 7 |a 10.1007/978-981-10-2932-5  |2 doi 
050 4 |a QC5.53 
072 7 |a PHU  |2 bicssc 
072 7 |a SCI040000  |2 bisacsh 
072 7 |a PHU  |2 thema 
082 0 4 |a 530.15  |2 23 
100 1 |a van Putten, Maurice H. P. M.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Introduction to Methods of Approximation in Physics and Astronomy  |h [electronic resource] /  |c by Maurice H. P. M. van Putten. 
250 |a 1st ed. 2017. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2017. 
300 |a XIII, 345 p. 90 illus., 71 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
505 0 |a Preface -- Part I Preliminaries -- 1 Complex numbers -- 2 Complex function theory -- 3 Vectors and linear algebra -- 4 Linear partial differential equations -- Part II Methods of approximation -- 5 Projections and minimal distances -- 6 Spectral methods and signal analysis -- 7 Root finding -- 8 Finite differencing: differentiation and integration -- 9 Perturbation theory, scaling and turbulence -- Part III Selected topics -- 10 Thermodynamics of N-body systems -- 11 Accretion flows onto black holes -- 12 Rindler observers in astrophysics and cosmology -- A Some units and constant -- B Г(z) and Ϛ(z) functions. 
520 |a 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. 
650 0 |a Physics. 
650 0 |a Observations, Astronomical. 
650 0 |a Astronomy—Observations. 
650 0 |a Astrophysics. 
650 1 4 |a Mathematical Methods in Physics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19013 
650 2 4 |a Astronomy, Observations and Techniques.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P22014 
650 2 4 |a Numerical and Computational Physics, Simulation.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P19021 
650 2 4 |a Astrophysics and Astroparticles.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P22022 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9789811029318 
776 0 8 |i Printed edition:  |z 9789811029332 
776 0 8 |i Printed edition:  |z 9789811097423 
830 0 |a Undergraduate Lecture Notes in Physics,  |x 2192-4791 
856 4 0 |u https://doi.org/10.1007/978-981-10-2932-5 
912 |a ZDB-2-PHA 
912 |a ZDB-2-SXP 
950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)