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)

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
Creator
Contributor
Author
Provider
Subject
Genre
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 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
Member of
http://library.link/vocab/creatorName
Van Putten, Maurice H. P. M
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Undergraduate Lecture Notes in Physics,
http://library.link/vocab/subjectName
  • Physics
  • Astronomy
  • Astronomy
  • Astrophysics
  • Physics
  • Mathematical Methods in Physics
  • Astronomy, Observations and Techniques
  • Numerical and Computational Physics, Simulation
  • Astrophysics and Astroparticles
Label
Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
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 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
Dimensions
unknown
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
Media type code
c
Other control number
10.1007/978-981-10-2932-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-10-2932-5
Label
Introduction to Methods of Approximation in Physics and Astronomy, by Maurice H. P. M. van Putten, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
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 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
Dimensions
unknown
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
Media type code
c
Other control number
10.1007/978-981-10-2932-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-10-2932-5

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