Mathematical Methods for Physicists (Record no. 35427)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 06429nam a22001817a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789381269558 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15092 ARF-M |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Arfken, George B |
| 245 ## - TITLE STATEMENT | |
| Title | Mathematical Methods for Physicists |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 7th |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | New Delhi |
| Name of publisher, distributor, etc | Elsevier |
| Date of publication, distribution, etc | 2013 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1205p. |
| 500 ## - GENERAL NOTE | |
| General note | Chapter 1. Mathematical Preliminaries<br/><br/>1.1 Infinite Series<br/>1.2 Series of Functions<br/>1.3 Binomial Theorem<br/>1.4 Mathematical Induction<br/>1.5 Operations on Series Expansions of Functions<br/>1.6 Some Important Series<br/>1.7 Vectors<br/>1.8 Complex Numbers and Functions<br/>1.9 Derivatives and Extrema<br/>1.10 Evaluation of Integrals<br/>1.11 Dirac Delta Function<br/>Additional Readings<br/>Chapter 2. Determinants and Matrices<br/><br/>2.1 Determinants<br/>2.2 Matrices<br/>Additional Readings<br/>Chapter 3. Vector Analysis<br/><br/>3.1 Review of Basic Properties<br/>3.2 Vectors in 3-D Space<br/>3.3 Coordinate Transformations<br/>3.4 Rotations in ℝ3<br/>3.5 Differential Vector Operators<br/>3.6 Differential Vector Operators: Further Properties<br/>3.7 Vector Integration<br/>3.8 Integral Theorems<br/>3.9 Potential Theory<br/>3.10 Curvilinear Coordinates<br/>Additional Readings<br/>Chapter 4. Tensors and Differential Forms<br/><br/>4.1 Tensor Analysis<br/>4.2 Pseudotensors, Dual Tensors<br/>4.3 Tensors in General Coordinates<br/>4.4 Jacobians<br/>4.5 Differential Forms<br/>4.6 Differentiating Forms<br/>4.7 Integrating Forms<br/>Additional Readings<br/>Chapter 5. Vector Spaces<br/><br/>5.1 Vectors in Function Spaces<br/>5.2 Gram-Schmidt Orthogonalization<br/>5.3 Operators<br/>5.4 Self-Adjoint Operators<br/>5.5 Unitary Operators<br/>5.6 Transformations of Operators<br/>5.7 Invariants<br/>5.8 Summary—Vector Space Notation<br/>Additional Readings<br/>Chapter 6. Eigenvalue Problems<br/><br/>6.1 Eigenvalue Equations<br/>6.2 Matrix Eigenvalue Problems<br/>6.3 Hermitian Eigenvalue Problems<br/>6.4 Hermitian Matrix Diagonalization<br/>6.5 Normal Matrices<br/>Additional Readings<br/>Chapter 7. Ordinary Differential Equations<br/><br/>7.1 Introduction<br/>7.2 First-Order Equations<br/>7.3 ODEs with Constant Coefficients<br/>7.4 Second-Order Linear ODEs<br/>7.5 Series Solutions—Frobenius’ Method<br/>7.6 Other Solutions<br/>7.7 Inhomogeneous Linear ODEs<br/>7.8 Nonlinear Differential Equations<br/>Additional Readings<br/>Chapter 8. Sturm-Liouville Theory<br/><br/>8.1 Introduction<br/>8.2 Hermitian Operators<br/>8.3 ODE Eigenvalue Problems<br/>8.4 Variation Method<br/>8.5 Summary, Eigenvalue Problems<br/>Additional Readings<br/>Chapter 9. Partial Differential Equations<br/><br/>9.1 Introduction<br/>9.2 First-Order Equations<br/>9.3 Second-Order Equations<br/>9.4 Separation of Variables<br/>9.5 Laplace and Poisson Equations<br/>9.6 Wave Equation<br/>9.7 Heat-Flow, or Diffusion PDE<br/>9.8 Summary<br/>Additional Readings<br/>Chapter 10. Green’s Functions<br/><br/>10.1 One-Dimensional Problems<br/>10.2 Problems in Two and Three Dimensions<br/>Additional Readings<br/>Chapter 11. Complex Variable Theory<br/><br/>11.1 Complex Variables and Functions<br/>11.2 Cauchy-Riemann Conditions<br/>11.3 Cauchy’s Integral Theorem<br/>11.4 Cauchy’s Integral Formula<br/>11.5 Laurent Expansion<br/>11.6 Singularities<br/>11.7 Calculus of Residues<br/>11.8 Evaluation of Definite Integrals<br/>11.9 Evaluation of Sums<br/>11.10 Miscellaneous Topics<br/>Additional Readings<br/>Chapter 12. Further Topics in Analysis<br/><br/>12.1 Orthogonal Polynomials<br/>12.2 Bernoulli Numbers<br/>12.3 Euler-Maclaurin Integration Formula<br/>12.4 Dirichlet Series<br/>12.5 Infinite Products<br/>12.6 Asymptotic Series<br/>12.7 Method of Steepest Descents<br/>12.8 Dispersion Relations<br/>Additional Readings<br/>Chapter 13. Gamma Function<br/><br/>13.1 Definitions, Properties<br/>13.2 Digamma and Polygamma Functions<br/>13.3 The Beta Function<br/>13.4 Stirling’s Series<br/>13.5 Riemann Zeta Function<br/>13.6 Other Related Functions<br/>Additional Readings<br/>Chapter 14. Bessel Functions<br/><br/>14.1 Bessel Functions of the First Kind, Jν(x)<br/>14.2 Orthogonality<br/>14.3 Neumann Functions, Bessel Functions of the Second Kind<br/>14.4 Hankel Functions<br/>14.5 Modified Bessel Functions, Iν(x) and Kν(x)<br/>14.6 Asymptotic Expansions<br/>14.7 Spherical Bessel Functions<br/>Additional Readings<br/>Chapter 15. Legendre Functions<br/><br/>15.1 Legendre Polynomials<br/>15.2 Orthogonality<br/>15.3 Physical Interpretation of Generating Function<br/>15.4 Associated Legendre Equation<br/>15.5 Spherical Harmonics<br/>15.6 Legendre Functions of the Second Kind<br/>Additional Readings<br/>Chapter 16. Angular Momentum<br/><br/>16.1 Angular Momentum Operators<br/>16.2 Angular Momentum Coupling<br/>16.3 Spherical Tensors<br/>16.4 Vector Spherical Harmonics<br/>Additional Readings<br/>Chapter 17. Group Theory<br/><br/>17.1 Introduction to Group Theory<br/>17.2 Representation of Groups<br/>17.3 Symmetry and Physics<br/>17.4 Discrete Groups<br/>17.5 Direct Products<br/>17.6 Symmetric Group<br/>17.7 Continuous Groups<br/>17.8 Lorentz Group<br/>17.9 Lorentz Covariance of Maxwell’s Equations<br/>17.10 Space Groups<br/>Additional Readings<br/>Chapter 18. More Special Functions<br/><br/>18.1 Hermite Functions<br/>18.2 Applications of Hermite Functions<br/>18.3 Laguerre Functions<br/>18.4 Chebyshev Polynomials<br/>18.5 Hypergeometric Functions<br/>18.6 Confluent Hypergeometric Functions<br/>18.7 Dilogarithm<br/>18.8 Elliptic Integrals<br/>Additional Readings<br/>Chapter 19. Fourier Series<br/><br/>19.1 General Properties<br/>19.2 Applications of Fourier Series<br/>19.3 Gibbs Phenomenon<br/>Additional Readings<br/>Chapter 20. Integral Transforms<br/><br/>20.1 Introduction<br/>20.2 Fourier Transform<br/>20.3 Properties of Fourier Transforms<br/>20.4 Fourier Convolution Theorem<br/>20.5 Signal-Processing Applications<br/>20.6 Discrete Fourier Transform<br/>20.7 Laplace Transforms<br/>20.8 Properties of Laplace Transforms<br/>20.9 Laplace Convolution Theorem<br/>20.10 Inverse Laplace Transform<br/>Additional Readings<br/>Chapter 21. Integral Equations<br/><br/>21.1 Introduction<br/>21.2 Some Special Methods<br/>21.3 Neumann Series<br/>21.4 Hilbert-Schmidt Theory<br/>Additional Readings<br/>Chapter 22. Calculus of Variations<br/><br/>22.1 Euler Equation<br/>22.2 More General Variations<br/>22.3 Constrained Minima/Maxima<br/>22.4 Variation with Constraints<br/>Additional Readings<br/>Chapter 23. Probability and Statistics<br/><br/>23.1 Probability: Definitions, Simple Properties<br/>23.2 Random Variables<br/>23.3 Binomial Distribution<br/>23.4 Poisson Distribution<br/>23.5 Gauss’ Normal Distribution<br/>23.6 Transformations of Random Variables<br/>23.7 Statistics<br/>Additional Readings |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://books.google.co.in/books?id=qLFo_Z-PoGIC&printsec=frontcover&dq=mathematical+methods+for+physicists+by+arfken&hl=en&sa=X&ved=0ahUKEwirgJ7Ip4LnAhV0xzgGHQCqCKEQ6AEIKDAA#v=onepage&q=mathematical%20methods%20for%20physicists%20by%20arfken&f=false">https://books.google.co.in/books?id=qLFo_Z-PoGIC&printsec=frontcover&dq=mathematical+methods+for+physicists+by+arfken&hl=en&sa=X&ved=0ahUKEwirgJ7Ip4LnAhV0xzgGHQCqCKEQ6AEIKDAA#v=onepage&q=mathematical%20methods%20for%20physicists%20by%20arfken&f=false</a> |
| 901 ## - LOCAL DATA ELEMENT A, LDA (RLIN) | |
| Acc. No. | 23151 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Uniform Resource Identifier | Price effective from | Koha item type | Date last borrowed |
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| Dewey Decimal Classification | Not For Loan | Reference | Amity Central Library | Amity Central Library | Applied Physics | 08/08/2016 | SBA | 1495.00 | SBA / 11495 21/7/2016 | 530.15092 ARF-M | 23151 | 08/08/2016 | https://books.google.co.in/books?id=qLFo_Z-PoGIC&printsec=frontcover&dq=mathematical+methods+for+physicists+by+arfken&hl=en&sa=X&ved=0ahUKEwirgJ7Ip4LnAhV0xzgGHQCqCKEQ6AEIKDAA#v=onepage&q=mathematical%20methods%20for%20physicists%20by%20arfken&f=false | 08/08/2016 | Reference Book | |||||
| Dewey Decimal Classification | Amity Central Library | Amity Central Library | Applied Physics | 08/08/2016 | SBA | 1495.00 | SBA / 11495 21/7/2016 | 9 | 530.15092 ARF-M | 23152 | 14/08/2019 | https://books.google.co.in/books?id=qLFo_Z-PoGIC&printsec=frontcover&dq=mathematical+methods+for+physicists+by+arfken&hl=en&sa=X&ved=0ahUKEwirgJ7Ip4LnAhV0xzgGHQCqCKEQ6AEIKDAA#v=onepage&q=mathematical%20methods%20for%20physicists%20by%20arfken&f=false | 08/08/2016 | Books | 23/07/2019 |