Mathematics of Classical and Quantum Physics (Dover Books on Physics)
by Frederick W. Byron, Robert W. Fuller
List Price:
Our Price: $16.50
You Save: $8.45 (34%)
Availability: Usually ships in 1-2 business days
Buy Used: from $11.00 (click here)
Category: Book
See more book details and other editions
Book Summary Information
Author: Frederick W. Byron, Robert W. FullerEdition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 1992-08-20
ISBN: 048667164X
Number of pages: 661
Publisher: Dover Publications
Book Reviews of Mathematics of Classical and Quantum Physics (Dover Books on Physics)
Book Review: Not an easy read, but a complete one
Summary: 5 Stars
This book is complete and concise. Often concise means missing details, but not in this case. This is not an easy and breezy read. It is a densely packed little book with each page full of critical information on approaches to problems, so it will likely be slow going - it was for me. In the end, however, you will understand the information being presented at a price tag that is often one fifth of standard modern textbooks on this subject that do not do nearly as good a job. Also, often a book this old means either a lack of figures or very small handwritten ones. I found this book to be well illustrated for a text of its age, and good illustrations go a long way in explaining mathematical concepts.
For the mathematics of physics I have two recommendations - this one for a "teach a man to fish" approach, and Mathematical Methods for Physicists, Sixth Edition: A Comprehensive Guide for the "give a man a fish" approach. This latter book is a great reference and also has some cool results you won't find in other books, such as how to transform between any two coordinate systems, however it is a terrible textbook. Strangely enough, the table of contents is missing from the product information so I include that next:
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 - Constraints
2.5 Application to Classical Mechanics
2.6 Extremization of Multiple Integrals
2.7 Invariance Principles and Noether's Theorem
3 Vectors and Matrics
Introduction
3.1 "Groups, Fields, and Vector Spaces"
3.2 Linear Independence
3.3 Bases and Dimensionality
3.4 Ismorphisms
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 Completeness
4.3 Complete Ortonormal 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 Peturbation Theory-Nondegenerate Case
4.12 Peturbation 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 Functions
5.3 The Dirac d-Function
5.4 Weirstrass's Theorem: Approximation by Polynomials
5.5 Legendre Polynomials
5.6 Fourier Series
5.7 Fourier Integrals
5.8 Sphereical Harmonics and Associated Legendre Functions
5.9 Hermite Polynomials
5.10 Sturm-Liouville Systems-Orthogaonal Polynomials
5.11 A Mathematical Formulation of Quantum Mechanics
6 Elements and Applications of the Theory of Analytic Functions
6.1 Analytic Functions-The Cauchy-Riemann Conditions
6.2 Some Basic Analytic Functions
6.3 Complex Integration-The Cauchy-Goursat Theorem
6.4 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 Function
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
7.4 Green's Functions in Three Dimensions
7.5 Radial Green's Functions
7.6 An Application to the Theory of Diffraction
7.7 Time-dependent Green's Functions: First Order
7.8 The Wave Equation
8 Introduction to Integral Equations
Introduction
8.1 Iterative Techniques-Linear Integral Operators
8.2 Norms of Operators
8.3 Iterative Techniques in a Banach Space
8.4 Iterative Techniques for Nonlinear Equations
8.5 Separable Kernels
8.6 General Kernels of Finite Rank
8.7 Completely Continuous Operators
9 Integral Equations in Hilbert Space
Introduction
9.1 Completely Continuous Hermitian Operators
9.2 Linear Equations and Peturbation Theory
9.3 Finite-Rank Techniques for Eigenvalue Problems
9.4 the Fredholm Alternative for Completely Continuous Operators
9.5 The Numerical Solutions of Linear Equations
9.6 Unitary Transformations
10 Introduction to Group Theory
Introduction
10.1 An Inductive Approach
10.2 The Symmetric Groups
10.3 Cosets, Classes, and Invariant Subgroups
10.4 Symmetry and Group Representations
10.5 Irreducible Representations
10.6 Unitary Representations, Schur's Lemmas, and Orthogonality Relations
10.7 The Determination of Group Representations
10.8 Group Theory in Physical Problems
General Bibliography
Index to Volume One
Index to Volume Two
Summary of Mathematics of Classical and Quantum Physics (Dover Books on Physics)
Well-organized text designed to complement graduate-level physics texts in classical mechanics, electricity, magnetism, and quantum mechanics. Topics include theory of vector spaces, analytic function theory, Green's function method of solving differential and partial differential equations, theory of groups, more. Many problems, suggestions for further reading.
Mathematics Books
Book Subjects
- Arts & Photography
- Biographies & Memoirs
- Business & Investing
- Children's Books
- Comics & Graphic Novels
- Computers & Internet
- Cooking, Food & Wine
- Entertainment
- Gay & Lesbian
- Health, Mind & Body
- History
- Home & Garden
- Horror
- Law
- Literature & Fiction
- Mystery & Thrillers
- Nonfiction
- Outdoors & Nature
- Parenting & Families
- Professional & Technical
- Reference
- Religion & Spirituality
- Romance
- Science
- Science Fiction & Fantasy
- Sports
- Teens
- Travel
Most talked about in Mathematics Books
Learn to Program with Javaby John Smiley
Osborne/McGraw-Hill; Published: 2002-01-02; Paperback; Book
Best price: $29.99
Price in other shops:
HTML: A Beginner's Guideby Wendy Willard
Mcgraw-Hill Osborne Media; Published: 2000-11-15; Paperback; Book
Best price: $4.86
Price in other shops:
Cisco(r) CCIE(tm) Lab Practice Kitby Stephen Hutnik, Michael Satterlee
McGraw-Hill Companies; Published: 2001-02-12; Paperback; Book
Best price: $14.56
Price in other shops:
Schaum's Outline of Mathematical Handbook of Formulas and Tables, 3ed (Schaum's Outline Series)by Murray Spiegel, Seymour Lipschutz, John Liu
McGraw-Hill; Published: 2008-08-25; Paperback; Book
Best price: $11.56
Price in other shops:
How to Solve Word Problems in Calculusby Eugene Don, Benay Don
McGraw-Hill; Published: 2001-07-09; Paperback; Book
Best price: $6.00
Price in other shops:
Fire in the Valley: The Making of The Personal Computer (Second Edition)by Paul Freiberger, Michael Swaine
McGraw-Hill Companies; Published: 2000-11-29; Paperback; Book
Best price: $139.58
Complex Variables and Applicationsby James Ward Brown
Mcgraw Hill Higher Education; Published: 2008-04-01; Paperback; Book
Best price: $24.52
Schaum's Outline of Trigonometryby Robert E. Moyer, Frank Ayres
McGraw-Hill; Published: 1998-11-30; Paperback; Book
Best price: $7.88
Price in other shops:
Elementary Statistics: A Brief Versionby Allan Bluman
McGraw-Hill Science/Engineering/Math; Published: 2006-12-02; Paperback; Book
Best price: $12.82
Geekspeak: A Guide to Answering the Unanswerable, Making Sense of the Nonsensical, and Solving the Unsolvableby Graham Tattersall
Harper Perennial; Published: 2010-02-02; Paperback; Book
Best price: $0.01
Price in other shops:
Similar Books and other products
The Variational Principles of Mechanics (Dover Books on Physics)by Cornelius Lanczos
Dover Publications; Published: 1986-03-01; Paperback; Book
Best price: $11.33
Price in other shops:
Introduction to Topology: Third Edition (Dover Books on Mathematics)by Bert Mendelson, Mathematics
Dover Publications; Published: 1990-07-01; Paperback; Book
Best price: $5.61
Price in other shops:
Numerical Methods for Scientists and Engineers (Dover Books on Mathematics)by R. W. Hamming
Dover Publications; Published: 1987-03-01; Paperback; Book
Best price: $9.88
Price in other shops:
Thermodynamics (Dover Books on Physics)by Enrico Fermi, Physics
Dover Publications; Published: 1956-06-01; Paperback; Book
Best price: $6.29
Price in other shops:
Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics)by Stanley J. Farlow, Mathematics
Dover Publications; Published: 1993-09-01; Paperback; Book
Best price: $9.62
Price in other shops:
Principles of Electrodynamics (Dover Books on Physics)by Melvin Schwartz, Physics
Dover Publications; Published: 1987-10-01; Paperback; Book
Best price: $9.62
Price in other shops:
Quantum Theory (Dover Books on Physics)by David Bohm, Physics
Dover Publications; Published: 1989-05-01; Paperback; Book
Best price: $10.00
Price in other shops:
Ordinary Differential Equations (Dover Books on Mathematics)by Morris Tenenbaum, Harry Pollard, Mathematics
Dover Publications; Published: 1985-10-01; Paperback; Book
Best price: $12.90
Price in other shops:
Mathematics for Physicists (Dover Books on Physics)by Philippe Dennery, Andre Krzywicki, Physics
Dover Publications; Published: 1996-08-14; Paperback; Book
Best price: $10.00
Price in other shops:
Theoretical Physics (Dover Books on Physics)by Georg Joos, Ira M. Freeman, Physics
Dover Publications; Published: 1987-03-01; Paperback; Book
Best price: $12.59
Price in other shops: