Central Library

Studies in theoretical physics. (Record no. 82910)

000 -LEADER
fixed length control field 09171nam a2200781 i 4500
001 - CONTROL NUMBER
control field 9780750331357
003 - CONTROL NUMBER IDENTIFIER
control field IOP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230516170311.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m eo d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn |||m|||a
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220805s2022 enka fob 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750331357
Qualifying information ebook
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750331340
Qualifying information mobi
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750331333
Qualifying information print
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750331364
Qualifying information myPrint
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1088/978-0-7503-3135-7
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)thg00083301
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1340387856
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC20
Item number .E746 2022eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI040000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.1
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Erenso, Daniel,
Relator term author.
9 (RLIN) 70817
245 10 - TITLE STATEMENT
Title Studies in theoretical physics.
Number of part/section of a work Volume 1,
Name of part/section of a work Fundamental mathematical methods /
Statement of responsibility, etc. Daniel Erenso, Victor Montemayor.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
Name of producer, publisher, distributor, manufacturer IOP Publishing,
Date of production, publication, distribution, manufacture, or copyright notice [2022]
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (various pagings) :
Other physical details illustrations (some color).
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement [IOP release $release]
490 1# - SERIES STATEMENT
Series statement IOP ebooks. [2022 collection]
500 ## - GENERAL NOTE
General note "Version: 20220701"--Title page verso.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Series and convergence -- 1.1. Sequence and series -- 1.2. Testing series for convergence -- 1.3. Series representations of real functions -- 1.4. Sequence, series and Mathematica -- 1.5. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Complex numbers, functions, and series -- 2.1. Complex numbers -- 2.2. Complex infinite series -- 2.3. Powers and roots of complex numbers -- 2.4. Algebraic versus transcendental functions -- 2.5. Complex numbers, functions and Mathematica -- 2.6. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Vectors -- 3.1. Vector fundamentals -- 3.2. Vector addition -- 3.3. Vector multiplication -- 3.4. Vectors and equations of a line and a plane -- 3.5. Vectors and Mathematica -- 3.6. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4. Matrices and determinants -- 4.1. Important terminologies -- 4.2. Matrix arithmetic and manipulation -- 4.3. Matrix representation of a set of linear equations -- 4.4. Solving a set of linear equations using matrices -- 4.5. Determinant of a square matrix -- 4.6. Cramer's rule -- 4.7. The adjoint and inverse of a matrix -- 4.8. Orthogonal matrices and the rotation matrix -- 4.9. Linear dependence and independence -- 4.10. Gram-Schmidt orthogonalization -- 4.11. Matrices and Mathematica -- 4.12. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5. Introduction to differential calculus I -- 5.1. Partial differentiation -- 5.2. Total differential -- 5.3. The multivariable form of the chain rule -- 5.4. Extremum (max/min) problems -- 5.5. The method of Lagrangian multipliers -- 5.6. Change of variables -- 5.7. Partial differentiation and Mathematica -- 5.8. Homework assignments
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6. Introduction to differential calculus II -- 6.1. First-order ordinary DE -- 6.2. The first-order ODE and exact total differential -- 6.3. First-order ODE and non-exact total differential -- 6.4. Higher-order ODE -- 6.5. The particular solution and the method of superposition -- 6.6. The method of successive integration -- 6.7. Introduction to partial differential equations -- 6.8. Linear differential equations and Mathematica -- 6.9. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7. Integral calculus-scalar functions -- 7.1. Integration in Cartesian coordinates -- 7.2. Physical applications -- 7.3. 1-D and 2-D curvilinear coordinates -- 7.4. 3-D curvilinear coordinates : cylindrical -- 7.5. 3-D curvilinear coordinate : spherical -- 7.6. Scalar integrals and Mathematica -- 7.7. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8. Vector calculus -- 8.1. Review of vector products -- 8.2. Vectors product physical applications -- 8.3. Vectors derivatives -- 8.4. The gradient operator and directional derivative -- 8.5. The divergence, the curl, and the Laplacian -- 8.6. Line vector integrals -- 8.7. Conservative vectors and exact differentials -- 8.8. Double integral and Green's theorem -- 8.9. The Stokes' theorem -- 8.10. The divergence theorem -- 8.11. Vector calculus and Mathematica -- 8.12. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 9. Introduction to the calculus of variations -- 9.1. Stationary points and geodesic -- 9.2. The general problem of the calculus of variations -- 9.3. The Brachistochrone problem -- 9.4. The Euler-Lagrange equation in classical mechanics -- 9.5. The calculus of variations and Mathematica -- 9.6. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 10. Introduction to the eigenvalue problem -- 10.1. Eigenvalue problem in physics -- 10.2. Matrix review -- 10.3. Orthogonal transformations and Dirac's notation -- 10.4. Eigenvalues and eigenvectors -- 10.5. Eigenvalue equation and Hermitian matrices -- 10.6. The similarity transformation -- 10.7. Eigenvalue equation and Mathematica -- 10.8. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 11. Special functions -- 11.1. The factorial, the gamma function, and Stirling's formula -- 11.2. The beta function -- 11.3. The error function -- 11.4. Elliptic integrals -- 11.5. The Dirac delta function -- 11.6. Mathematica and special functions -- 11.7. Homework assignments
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 12. Power series and differential equations -- 12.1. Power series substitution -- 12.2. Orthonormal set of vectors and functions -- 12.3. Complete set of functions -- 12.4. The Legendre differential equation -- 12.5. The Legendre polynomials -- 12.6. The generating function for the Legendre polynomials -- 12.7. Legendre series -- 12.8. The associated Legendre differential equation -- 12.9. Spherical harmonics and the addition theorem -- 12.10. The method of Frobenius and the Bessel equation -- 12.11. The orthogonality of the Bessel functions -- 12.12. Fuch's theorem -- 12.13. Mathematica and serious substitution method -- 12.14. Homework assignments
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 13. Partial differential equation -- 13.1. PDE in physics -- 13.2. Laplace's equation in Cartesian coordinates -- 13.3. Laplace's equation in spherical coordinates -- 13.4. Laplace's equation in cylindrical coordinates -- 13.5. Poisson's equation -- 13.6. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 14. Functions of complex variables -- 14.1. Review of complex numbers -- 14.2. Analytic functions -- 14.3. Essential terminologies -- 14.4. Contour integration and Cauchy's theorem -- 14.5. Cauchy's integral formula -- 14.6. Laurent's theorem -- 14.7. The residue theorem -- 14.8. Methods of finding residues -- 14.9. Applications of the residue theorem -- 14.10. The modified residue theorem -- 14.11. Mathematica and complex functions -- 14.12. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 15. Laplace transform -- 15.1. Integral transform -- 15.2. The Laplace transform -- 15.3. Inverse Laplace transform -- 15.4. Applications of Laplace transforms -- 15.5. Mathematica and Laplace transform -- 15.6. Homework assignment
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 16. Fourier series and transform -- 16.1. Average and root-mean-square values -- 16.2. The Fourier series -- 16.3. Dirichlet conditions -- 16.4. Fourier series with spatial and temporal arguments -- 16.5. The Fourier transform and inverse transform -- 16.6. The Dirac delta function and the Fourier inverse transform -- 16.7. Applications of the Fourier transform -- 16.8. Fourier transform and convolution -- 16.9. Mathematica, Fourier series, transform, and inverse transform.
520 3# - SUMMARY, ETC.
Summary, etc. Studies in Theoretical Physics, Volume 1: Fundamental mathematical methods is the first of the six-volume series in theoretical physics. It provides the mathematical methods that any physical sciences and engineering undergraduate might need in upper-division courses in classical mechanics, quantum mechanics, and electricity and magnetism.
521 ## - TARGET AUDIENCE NOTE
Target audience note Students globally at the upper undergraduate level in physics and engineering required to take Mathematical Methods courses.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 ## - BIOGRAPHICAL OR HISTORICAL DATA
Biographical or historical data Dr. Daniel Erenso has been working as a professor of physics at Middle Tennessee State University (MTSU) since 2003. Dr. Victor Montemayor teaches Physics and Advanced Mathematics at Germantown Academy (GA) in Fort Washington, PA. He retired from Middle Tennessee State University (MTSU) in 2015 after serving for 25 years as Professor of Physics.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF title page (viewed on August 5, 2022).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
9 (RLIN) 11013
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
Source of heading or term bicssc
9 (RLIN) 11013
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics and computation.
Source of heading or term bisacsh
9 (RLIN) 70439
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Montemayor, Victor
Fuller form of name (Victor J.),
Relator term author.
9 (RLIN) 70818
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element Institute of Physics (Great Britain),
Relator term publisher.
9 (RLIN) 11622
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780750331333
-- 9780750331364
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP (Series).
Name of part/section of a work Release 22.
9 (RLIN) 70819
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP ebooks.
Name of part/section of a work 2022 collection.
9 (RLIN) 70820
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://iopscience.iop.org/book/978-0-7503-3135-7">https://iopscience.iop.org/book/978-0-7503-3135-7</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks

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