Mathematics of classical and quantum physics/ (Record no. 151225)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00358nam a2200133Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780486671642 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.15 |
| Item number | BYR/M |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Byron, Frederick W. |
| 245 #0 - TITLE STATEMENT | |
| Title | Mathematics of classical and quantum physics/ |
| Statement of responsibility, etc. | Frederick W. Byron, Robert W. Fuller. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Dover, |
| Date of publication, distribution, etc. | 1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 661 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Vectors in Classical Physics; Introduction; 1.1 Geometric and Algebraic Definitions of a Vector; 1.2 The Resolution of a Vector into Components; 1.3 The Scalar Product; 1.4 Rotation of the Coordinate System: Orthogonal Transformations; 1.5 The Vector Product; 1.6 A Vector Treatment of Classical Orbit Theory; 1.7 Differential Operations on Scalar and Vector Fields; *1.8 Cartesian-Tensors; 2 Calculus of Variations; Introduction; 2.1 Some Famous Problems; 2.2 The Euler-Lagrange Equation; 2.3 Some Famous Solutions. 2.4 Isoperimetric Problems --<br/>Constraints2.5 Application to Classical Mechanics; 2.6 Extremization of Multiple Integrals; *2.7 Invariance Principles and Noether's Theorem; 3 Vectors and Matrices; Introduction; 3.1 Groups. Fields. and Vector Spaces; 3.2 Linear Independence; 3.3 Bases and Dimensionality; 3.4 Isomorphisms; 3.5 Linear Transformations; 3.6 The Inverse of a Linear Transformation; 3.7 Matrices; 3.8 Determinants; 3.9 Similarity Transformations; 3.10 Eigenvalues and Eigenvectors; *3.11 The Kronecker Product; 4 Vector Spaces in Physics; Introduction; 4.1 The Inner Product. 4.2 Orthogonality and Completeness4.3 Complete Orthonormal Sets; 4.4 Self-Adjoint (Hermitian and Symmetric) Transformations; 4.5 Isometries-Unitary and Orthogonal Transformations; 4.6 The Eigenvalues and Eigenvectors of Self-Adjoint and Isometric Transformations; 4.7 Diagonalization; 4.8 On the Solvability of Linear Equations; 4.9 Minimum Principles; 4.10 Normal Modes; 4.11 Perturbation Theory-Nondegenerate Case; *4.12 Perturbation Theory-Degenerate Case; 5 Hilbert Space-Complete Orthonormal Sets of Functions; Introduction; 5.1 Function Space and Hilbert Space. 5.2 Complete Orthonormal Sets of Functions5.3 The Dirac <U+0065>-Function; 5.4 Weierstrass's Theorem: Approximation by Polynomials; 5.5 Legendre Polynomials; 5.6 Fourier Series; 5.7 Fourier Integrals; 5.8 Spherical Harmonics and Associated Legendre Functions; 5.9 Hermite Polynomials; 5.10 Sturm-Liouville Systems-Orthogonal Polynomials; 5.11 A Mathematical Formulation of Quantum Mechanics; 6 Elements and Applications of the Theory of Analytic Functions; Introduction; 6.1 Analytic Functions-The Cauchy-Riemann Conditions; 6.2 Some Basic Analytic Functions. 6.3 Complex Integration-The Cauchy-Goursat Theorem6.4 Consequences of Cauchy's Theorem; 6.5 Hilbert Transforms and the Cauchy Principal Value; 6.6 An Introduction to Dispersion Relations; 6.7 The Expansion of an Analytic Function in a Power Series; 6.8 Residue Theory-Evaluation of Real Definite Integrals and Summation of Series; 6.9 Applications to Special Functions and Integral Representations; 7 Green's Functions; Introduction; 7.1 A New Way to Solve Differential Equations; 7.2 Green's Functions and Delta Functions; 7.3 Green's Functions in One Dimension. |
| 650 ## - SUBJECT | |
| Keyword | Mathematical physics |
| 650 ## - SUBJECT | |
| Keyword | Quantum theory |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Fuller, Robert W. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Science Library, Sikkim University | Science Library, Sikkim University | Science Library General Section | 28/08/2016 | 530.15 BYR/M | P05897 | 28/08/2016 | General Books Science Library | Books For SU Science Library |