ISBN 0-12-05987-79 ・ Hardback ・ 900 Pages
(August 2003)
This new adaptation of Arfken and Weber's
bestselling
Mathematical Methods for Physicists, Fifth
Edition , is the most
comprehensive, modern, and accessible text
for using mathematics
to solve physics problems. Additional explanations
and examples
make it student-friendly and more adaptable
to a course syllabus.
Features
KEY FEATURES:
. This is a more accessible version of Arfken/Weber's
blockbuster
bestselling reference
. Many more detailed, worked-out examples
illustrate how to use
and apply mathematical techniques to solve
physics problems
. More frequent and thorough explanations
help readers
understand, recall, and apply the theory
. New introductions and review material provide
context and extra
support for key ideas
. Many more routine problems reinforce basic,
foundational
concepts and computations
Contents
Preface; 1. Vector Analysis; 2. Vector Analysis
in Curved
Coordinated and Tensors; 3. Determinants
and Matrices; 4. Group
Theory; 5. Infinite Series; 6. Functions
of a Complex Variable I;
7. Functions of a Complex Variable II; 8.
Differential Equations;
9. Sturm-Liouville Theory - Orthogonal Functions;
10. The Gamma
Function (Factorial Function); 11. Legendre
Polynomials; 12.
Bessell Functions; 13. Hermite and Laguerre
Polynomials; 14.
Fourier Series; 15. Integral Transforms;
16. Partial Differential
Equations; 17. Probability; 18. Calculus
of Variations; 19. Non-Linear
Methods and Chaos
ISBN 0-12-743273-6 ・ Hardback
(August 2003)
"Beyond Wavelets" presents state-of-the-art
theories,
methods, algorithms, and applications of
mathematical extensions
for classical wavelet analysis. Wavelets,
introduced 20 years ago
by
Morlet and Grossmann and developed very rapidly
during the 1980's
and 1990's, has created a common link between
computational
mathematics and other disciplines of science
and engineering.
Classical wavelets have provided effective
and efficient
mathematical tools for time-frequency analysis
which enhances and
replaces the Fourier approach.
However, with the current advances in science
and technology,
there is an immediate need to extend wavelet
mathematical tools
as well. "Beyond Wavelets" presents
a list of ideas and
mathematical
foundations for such extensions, including:
continuous and
digital ridgelets, brushlets, steerable wavelet
packets,
contourlets, eno-wavelets, spline-wavelet
frames, and quasi-affine
wavelets. Wavelet subband algorithms are
extended to pyramidal
directional and nonuniform filter banks.
In addition, this volume
includes a
method for tomographic reconstruction using
a mechanical image
model and a statistical study for independent
adaptive signal
representation.
Investigators already familiar with wavelet
methods from areas
such as engineering, statistics, and mathematics
will benefit by
owning this volume.
Contents
Digital Ridgelet Transform based on True
Ridge Functions; Digital
Implementation of Ridgelet Packets; Brushlets:
Steerable Wavelet
Packets; Contourlets; ENO-wavelet Tranforms
and Some
Applications; A Mechanical Image Mdoel for
Baeysian Tomographic
Reconstruction; Sparsity vs. Statistical
Independence in Adaptive
Signal Representations: A Case Study of the
Spike Process;
Nonuniform Filter Banks: New Results and
Open Problems; Recent
Development of Spline Wavelet Frames with
Complace Support;
Affine, Quasi-Affine and Co-Affine Wavelets
ISBN 0-12-058621-5 ・ Hardback ・ 608 Pages
(December 2003)
The transition to upper-level math courses
is often difficult
because of the shift in emphasis from computation
(in calculus)
to abstraction and proof (in junior/senior
courses). This book
provides guidance with the reading and writing
of short proofs,
and incorporates a gradual increase in abstraction
as the
chapters progress. This helps students prepare
to meet the
challenges of future courses such as abstract
algebra and
elementary analysis.
Features
Clearly explains principles and guides students
through the
effective transition to higher-level math
Includes a wide variety of applications,
technology tips, and
exercises, including new true/false exercises
in every section
Provides an early introduction to eigenvalues/eigenvectors
Accompanying Instructor's Manual and Student
Solutions Manual (ISBN:
0-12-058622-3) due December 2003
Contents
Preface
1. Vectors and Matrices
2. Systems of Linear Equations
3. Determinants and Eigenvalues
4. Finite Dimensional Vector Spaces
5. Linear Transformations
6. Orthogonality
7. Complex Vector Spaces and General Inner
Products
8. Additional Applications
9. Numerical Methods
10. Additional Topics
ISBN 0-12-382256-4 ・ Paperback ・ 890 Pages
(October 2003)
The updated Handbook is an essential reference
for researchers
and students in applied mathematics, engineering,
and physics. It
provides quick access to important formulas,
relations, and
methods from algebra, trigonometric and exponential
functions,
combinatorics, probability, matrix theory,
calculus and vector
calculus, ordinary and partial differential
equations, Fourier
series, orthogonal polynomials, and Laplace
transforms. Many of
the entries are based upon the updated sixth
edition of
Gradshteyn and Ryzhik's Table of Integrals,
Series, and Products
and other important reference works.
The Second Edition has new chapters covering
solutions of
elliptic, parabolic and hyperbolic equations
and qualitative
properties of the heat and Laplace equation.
Features
Key Features:
Comprehensive coverage of frequently used
integrals, functions
and fundamental mathematical results
Contents selected and organized to suit the
needs of students,
scientists, and engineers
Contains tables of Laplace and Fourier transform
pairs
New section on numerical approximation
New section on the z-transform
Easy reference system
Contents
Preface. Index of Special Functions and Notations.
Quick
Reference List of Frequently Used Data. Numerical,
Algebraic, and
Analytical Results for Series and Calculus.
Functions and
Identities. Derivatives of Elementary Functions.
Indefinite
Integrals of Algebraic Functions. Indefinite
Integrals of
Exponential Functions. Indefinite Integrals
of Logarithmic
Functions. Indefinite Integrals of Hyperbolic
Functions.
Indefinite Integrals Involving Inverse Hyperbolic
Functions.
Indefinite Integrals of Trigonometric Functions.
Indefinite
Integrals of Inverse Trigonometric Functions.
The Gamma, Beta,
Pi, and Psi Functions. Elliptic Integrals
and Functions.
Probability Integrals and the Error Function.
Fresnel Integrals,
Sine and Cosine Integrals. Definite Integrals.
Different Forms of
Fourier Series. Bessel Functions. Orthogonal
Polynomials. Laplace
Transformation. Fourier Transforms. Numerical
Integration.
Solutions of Standard Ordinary Differential
Equations. Vector
Analysis. Systems of Orthogonal Coordinates.
Partial Differential
Equations and Special Functions. The z-Transform.
Numerical
Approximation. Short Classified Reference
List. Solutions of
Elliptic, Parabolic and Hyperbolic Equations.
Qualitative
Properties of the Heat and Laplace Equation.
Index.