Reviews
"...the wavelet treatment makes it attractive and gives it
an edge over many texts."
David Ruch, Metroploitan State College
"The exercises I looked at were at a much more appropriate
level than my current text. This book provides more exposition
and more applications than traditional real analysis texts."
Doug Hardin, Vanderbilt University
"I like the fact that multiple examples are used
to illustrate concepts. It helps both instructors and students"
Wasin So, San Jose State University
Contents
Preface
1. Fundamentals
2. Measure Theory
3. The Lebesgue Integral
4. Special Topics of Lebesgue Integral & Applications
5. Vector Spaces, Hilbert Spaces, and the L2 Space
6. Fourier Analysis
7. Orthonormal Wavelet Bases
8. Compactly Supported Wavelets
9. Wavelets in Signal Processing
Appendix A: List of Symbols
Readership: The book is intended for a one year senior
undergraduate or beginning graduate course in Real Analysis,
Applied Analysis or Applied Mathematics found in mathematics,
statistics, engineering and physics departments.
ISBN: 0-12-354861-6 Book/Hardback
Measurements: 152 X 229 mm
Pages: 450
Imprint: Academic Press
Publication Date: 15 November 2004
Reviews
"The book has several nice features. First is its coverage
of the important topics. Second, the R and Splus codes are
supplied/used in the book, which makes teaching and learning much
easier and fun. Third, the author is very knowledgeable in the
area and the materials included are up to date. So not only it
can be used as a good textbook, it is also a good reference book
for researchers and applied statisticians." Yuhong Yang,
Iowa State University
"It is rather unique, this book. The message that the author
aims to deliver is an important one. Most other textbooks aim to
illustrate the standard story, using innovative illustrations or
clearer exposition. So there is a lot of redundancy out there in
statistics books. This book stands out as providing something new
and clearly important." Sheila Kennison, Oklahoma State
University
Contents
Preface, 1. Introduction; 2. A Foundation for Robust Methods; 3.
Estimating Measures of Location and Scale; 4. Confidence
Intervals in the One-Sample Case; 5. Comparing Two Groups; 6.
Some Multivariate Methods; 7. One-Way and Higher Designs for
Independent Groups; 8. Comparing Multiple Dependent Groups; 9.
Correlation and Tests of Independence; 10. Robust Regression; 11.
More Regression Methods
Readership: Advanced graduate students interested in applying
cutting-edge methods for analyzing data. Also, any applied
researcher who uses ANOVA or regression will benefit. A typical
course would be Quantitative Methods found in Mathematics,
Economics, Health and Biological Sciences and Psychology
departments.
ISBN: 0-12-751542-9 Book/Hardback
Line Illustrations: 56
Measurements: 152 X 229 mm
Pages: 350
Imprint: Academic Press
Series : Progress in Mathematics , Vol. 93
2004, Approx. 332 pages, Hardcover
ISBN: 3-7643-2176-8
Due: September 2004
About this book
This is an extended second edition of The Topology of Torus
Actions on Symplectic Manifolds published as PM 93 in 1991. The
material and references have been updated. Symplectic manifolds
and torus actions are investigated, with numerous examples of
torus actions, for instance on some moduli spaces. Although the
book is still centered on convexity results, it contains more
theorems, more (and better) proofs, more exercises, and many
figures. This enlarged version, although it includes all the
material treated in the first edition, is indeed a new book.
Table of contents
Smooth Lie group actions on manifolds.- Symplectic manifolds.-
Symplectic and Hamiltonian group actions.- Morse theory for
Hamiltonians.- Moduli spaces for flat connections.- Equivariant
cohomology and the Duistermaat-Heckman theorem.- Toric manifolds.-
Hamiltonian circle actions on manifolds of dimension 4.
Series : Operator Theory: Advances and Applications , Vol. 153
2004, Approx. 360 pages, Hardcover
ISBN: 3-7643-7127-7
Due: July 2004
About this book
This book consists of a careful selection of contributions to the
19th International Conference on Operator Theory, held in
Timisoara in Summer 2002. It contains recent contributions to
operator theory and operator algebras and applications in
differential analysis, complex functions, ergodic theory,
mathematical physics, matrix analysis, and systems theory.
Table of contents
Foreword.- Programme.- List of Participants.- 21 contributions by
experts
Series : Progress in Probability , Vol. 57
Volume package: Progress in Probability Fractal
Geometry,Stochastics
2004, X, 262 p., Hardcover
ISBN: 3-7643-7070-X
Due: July 2004
About this book
Fractal geometry is used to model complicated natural and
technical phenomena in various disciplines like physics, biology,
finance, and medicine. Since most convincing models contain an
element of randomness, stochastics enters the area in a natural
way. This book documents the establishment of fractal geometry as
a substantial mathematical theory. As in the previous volumes,
which appeared in 1998 and 2000, leading experts known for clear
exposition were selected as authors. They survey their field of
expertise, emphasizing recent developments and open problems.
Main topics include multifractal measures, dynamical systems,
stochastic processes and random fractals, harmonic analysis on
fractals.
Table of contents
Preface - Introduction.- 1. Fractal Sets and Measures.- 2.
Fractals and Dynamical Systems.- 3. Stochastic Processes and
Random Fractals.- 4. Fractal Analysis in Euclidean Spaces.- 5.
Harmonic Analysis on Fractals
Series : Monographs in Mathematics , Vol. 98
2004, XII, 164 p., Hardcover
ISBN: 3-7643-7129-3
Due: August 2004
About this book
This book covers facts and methods for the reconstruction of a
function in a real affine or projective space from data of
integrals, particularly over lines, planes, and spheres. Recent
results are collected stressing explicit analytic methods.
Another focus consists of the relations between algebraic
integral geometry and partial differential equations. A concise
basic course in harmonic analysis and distribution theory is
given in the first chapter. The first half of the book includes
the ray, the spherical mean transforms in the plane or in 3-space,
and inversion from incomplete data. It will be of particular
interest to application oriented readers. Further chapters are
devoted to the Funk-Radon transform on algebraic varieties of
arbitrary dimension.The material appeals to graduates and
researchers in pure and applied mathematics who are interested in
image reconstruction, inverse problems or functional analysis.
Table of contents
1. Distributions and Fourier Transform2. Radon Transform3. The
Funk Transform4. Reconstruction from Line Integrals5. Flat
Integral Transform6. Incomplete Data Problems7. Spherical
Transform and Inversion8. Algebraic Integral Transform9. Notes
Series : Operator Theory: Advances and Applications , Vol. 154
2004, Approx. 260 pages, Hardcover
ISBN: 3-7643-7133-1
Due: September 2004
About this book
This book presents recent results from the following areas:
spectral analysis of one-dimensional Schrodinger and Jacobi
operators, discrete WKB analysis of solutions of second order
difference equations, and applications of functional models of
non-selfadjoint operators. It is addressed to a wide group of
specialists working in operator theory or mathematical physics.
Table of contents
Introduction.- Contributions by V. Adamyan/H. Langer, D. Cichon/J.
Stochel/F.H. Szafraniec, P. Cojuhari, V. Derkach/S. Hassi/H.S.V.
de Snoo, A. Dijksma/H. Langer/A. Luger/Yu. Shondin, J.
Dombrowski, J.S. Geronimo/O. Bruno/W. Van Assche, D.J. Gilbert/B.J.
Harris/S.M. Riehl, J. Michor/G. Teschl, A.S. Osipov, B. Pavlov, R.
Romanov, A. Rybkin, L.O. Silva, A. Tikhonov, M.J. Zygmunt.