The Resource Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)
Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)
 Summary
 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 multiwavelength 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 wellversed in astroparticle physics and dataanalysis. The book is organized to be largely selfcontained, 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 CPUGPU 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
 Language
 eng
 Extent
 XIII, 345 p. 90 illus., 71 illus. in color.
 Contents

 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 Nbody systems
 11 Accretion flows onto black holes
 12 Rindler observers in astrophysics and cosmology
 A Some units and constant
 B Г(z) and G(z) functions
 Isbn
 9789811029325
 Label
 Introduction to Methods of Approximation in Physics and Astronomy
 Title
 Introduction to Methods of Approximation in Physics and Astronomy
 Statement of responsibility
 by Maurice H. P. M. van Putten
 Language
 eng
 Summary
 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 multiwavelength 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 wellversed in astroparticle physics and dataanalysis. The book is organized to be largely selfcontained, 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 CPUGPU 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
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 0
 Literary form
 non fiction
 Series statement
 Undergraduate Lecture Notes in Physics,
 Label
 Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)
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 online resource
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 cr
 Carrier MARC source
 rdacarrier
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 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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 Nbody systems  11 Accretion flows onto black holes  12 Rindler observers in astrophysics and cosmology  A Some units and constant  B Г(z) and G(z) functions
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9789811029325&userID=ebscotest&password=ebscotest
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 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4257964'}
 Extent
 XIII, 345 p. 90 illus., 71 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789811029325
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
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 c
 Other physical details
 online resource.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/IntroductiontoMethodsofApproximationin/yWZm8rIwhCQ/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/IntroductiontoMethodsofApproximationin/yWZm8rIwhCQ/">Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>