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Mielke, P.W., Colorado State University, Fort Collins, CO, USA
Berry, K.J., Colorado State University, Fort
Collins, CO, USA
Permutation Methods
A Distance Function Approach
2001. Approx. 345 pp. Hardcover
0-387-98882-3
The book will provide a comprehensive treatment
of statistical
inference using permutation
techniques. Its purpose is to make available
to practitioners a
variety of useful and powerful data
analytic tools that rely on very few distributional
assumptions.
Although many of these procedures
have appeared in journal articles, they are
not readily available
to practitioners.
Keywords: Permutation Methods, Permutation
Tests
Contents: Introduction.- Description of MRPP.-
Further MRPP
Applications.- Description of
MRBP.- Regression Analysis, Prediction, and
Agreement.-
Goodness-of-Fit Tests.- Contingency
Tables.- Multi-Sample Homogeneity Tests.
Series: Springer Series in Statistics.
Greiner, W., University of Frankfurt/Main, Germany
Classical Mechanics
Systems of Particles and Hamiltonian Dynamics
2001. Approx. 585 pp. 266 figs. Softcover
0-387-95128-8
The series of texts on Classical Theoretical
Physics is based on
the highly successful series of
courses given by Walter Greiner at the Johann
Wolfgang Goethe
University in Frankfurt am Main,
Germany. Intended for advanced undergraduates
and beginning
graduate students, the volumes in
the series provide not only a complete survey
of classical
theoretical physics but also an enormous
number of worked examples and problems to
show students clearly
how to apply the abstract
principles to realistic problems.
Contents: Part I. Newtonian mechanics in
moving co-ordinate
systems. Newton's equations in a
rotating co-ordinate system. Free fall on
the rotating earth.
Foucault's pendulum.- Part II. Degrees
of Freedom. Centre of gravity. Mechanical
fundamental quantities
of systems of mass points.- Part
III. Vibrating systems. Vibrations of coupled
mass points. The
vibrating string. Fourier series. The
vibrating membrane.- Part IV. Mechanics of
Rigid Bodies. Rotation
about fixed axis. Rotation about
a point. Theory of the top.- Part V. Lagrange
equations.
Generalised co-ordinates. D'Alembert
principle and derivation of the Lagrange
equations. Lagrange
equatins for non-holonomic
constraints. Special problems (for deepening).-
Part VI. Hamilton
Theory. Hamilton's equations.
Canonical transformations. Hamilton-Jacobi
theory.- Part VII.
Nonlinear Dynamics. Dynamical
systems. Stability of time-dependent paths.
Bifurcations.
Lyapunov exponents and chaos.
Systems with chaotic dynamics.- Part VIII.
From history of
mechanics.
Series: Classical Theoretical Physics.
Lam, T.-Y., University of California, Berkeley, CA, USA
A First Course in Noncommutative Rings
2nd ed. 2001. Approx. 570 pp. Hardcover
0-387-95183-0
A First Course in Noncommutative Rings, an
outgrowth of the
author's lectures at the University of
California at Berkeley, is intended as a
textbook for a
one-semester course in basic ring theory.
The material covered includes the Wedderburn-Artin
theory of
semisimple rings, Jacobson's theory
of the radical, representation theory of
groups and algebras,
prime and semiprime rings, local and
semilocal rings, perfect and semiperfect
rings, etc. By aiming
the level of writing at the novice
rather than the connoisseur and by stressing
th the role of
examples and motivation, the author has
produced a text that is suitable not only
for use in a graduate
course, but also for self- study in the
subject by interested graduate students.
More than 400 exercises
testing the understanding of the
general theory in the text are included in
this new edition.
Contents: Wedderburn-Artin Theory.- Jacobson
Radical Theory.-
Introduction to Representation
Theory.- Prime and Primitive Rings.- Introduction
to Division
Rings.- Local Rings, Semilocal Rings,
and Idempotents.- Perfect and Semiperfect
Rings.- References.
Series: Graduate Texts in Mathematics.VOL.
131
Nedelec, J.-C., Ecole Polytechnique, Palaiseau, France
Acoustic and Electromagnetic Equations
Integral Representations for Harmonic Problems
2001. Approx. 335 pp. 2 figs. Hardcover
0-387-95155-5
This self-contained book is devoted to the
study of the acoustic
wave equations and the Maxwell
system, the two most common waves equations
that are encountered
in physics or engineering. It
presents a detailed analysis of their mathematical
and physical
properties. In particular the author
focuses on the study of the harmonic exterior
problems, building
a mathematical framework which
provides the existence and uniqueness of
the solutions. This book
will serve as a useful
introduction to wave problems for graduate
students in
mathematics, physics, and engineering.
Contents: Preface.- Some wave equations.-
Harmonic Helmholtz
equation.- Integral
representations and Integral equations.-
Singular integral
operators.- Maxwell equations and
electromagnetic waves.- References.
Series: Applied Mathematical Sciences.VOL.
144
Albert, J., Bowling Green State University, Bowling Green, OH, USA
Rossman, A., Dickinson College, Carlisle,
PA, USA
Workshop Statistics
Discovery with Data, a Bayesian Approach
2001. Approx. 550 pp. 75 figs. Softcover
1-930190-12-3
The "workshop approach" builds
upon analysis of genuine
data and leads to practical working
experience. Unique in its format, the text
allows students to
discover statistical concepts, explore
statistical principles, and apply statistical
techniques. The
book, in addition to the numerous
activities and exercises around which the
text is built, includes
basic text exposition for each topic,
concept "wrap-ups", and data appendices.
Among the many
features are an emphasis on Bayesian
techniques, which focus on the concept of
statistical inference.
Contents: Data and Variables.- Displaying
and Describing
Distributions.- Measures of Center.-
Measures of Spread.- Comparing Distributions.-
Graphical Displays
of Association.- Correlation
Coefficient.- Least Squares Regression.-
Relationships with
Categorical Variables.- Random
Sampling.- What Is a Probability?- Assigning
Probabilities.-
Probability Distributions.- Two-way
Probability Tables.- Learning About Models
Using Bayes' Rule.-
Learning About a Proportion.-
Learning About a Proportion Using Continuous
Models.- Learning
About a Mean Using Discrete
Models.- Learning About a Mean Using Continuous
Models.-
Designing Experiments.- Learning
About Two Proportions.- Sample Survey Project.-
Using the
Computer.- Sources for Data Sets.