Summary
Probability plays an essential role in making decisions in areas
such as business, politics, and sports, among others.
Professor Rabinowitz, based on many years of teaching, has
created a textbook suited for classroom use as well as for self-study
that is filled with hundreds of carefully chosen examples based
on real-world case studies about sports, elections, drug testing,
legal cases, population growth, business, and more. His approach
is innovative, practical, and entertaining.
Elementary Probability with Applications will serve to enhance
classroom instruction, as well as benefit those who want to
review the basics of probability at their own pace.
Details
ISBN: 1-56881-222-1
Year: 2004
Format: Hardcover
Pages: 200
Summary
The mathematical underpinnings of games, whether they are
strategic or games of chance, have been known for centuries, but
are usually only understood by players and aficionados who have a
background in mathematics. The author has succeeded in making
that knowledge accessible, entertaining, and useful to everyone
who likes to play and win.
The information applies to such diverse and popular games as
Roulette, Monopoly?, Chess, Go, numerous card games, and many
more. He reviews the mathematical foundations, probability,
combinatorics, and mathematical game theory, the field that won
John Nash of A Beautiful Mind the Nobel Prize, and emphasizes the
implementation of these techniques so that players can put them
to work immediately.
An extensive bibliography and sections describing the historical
developments are welcome features to put the subject in a broader
context
Details
ISBN: 1-56881-210-8
Year: 2004
Format: Paperback
Pages: 504
Summary
Practical Linear Algebra introduces students in math, science,
engineering, and computer science to Linear Algebra from an
intuitive and geometric viewpoint, creating a level of
understanding that goes far beyond mere matrix manipulations.
Practical aspects, such as computer graphics topics and numerical
strategies, are covered throughout, and thus students can build a
“Geometry Toolbox,” based on a geometric understanding of the
key concepts.
This book covers all the standard linear algebra material for a
first-year course; the authors teach by motivation, illustration,
and example rather than by using a theorem/proof style.
Special Features:
Clear visual representations (more than 200 figures) for improved
material comprehension.
Hand-drawn sketches encourage students to create their own
sketches when solving problems-developing another layer of
learning.
Numerous examples show applications to real-world problems.
Problems at the end of each chapter allow students to test their
understanding of the material presented. Solutions to selected
problems are provided.
Concise chapter summaries highlight the most important points,
giving students focus for their approach to learning.
Details
ISBN: 1-56881-234-5
Year: 2005
Format: Hardcover
Pages: 394
220 pages
Hardback | Not yet published - available from April 2005
ISBN:0-521-84622-6
The Levy Laplacian is an infinite-dimensional generalization of
the well-known classical Laplacian. The theory has become
increasingly well-developed in recent years and this book is the
first systematic treatment of the Levy-Laplace operator. The book
describes the infinite-dimensional analogues of finite-dimensional
results, and more especially those features which appear only in
the generalized context. It develops a theory of operators
generated by the Levy Laplacian and the symmetrized Levy
Laplacian, as well as a theory of linear and nonlinear equations
involving it. There are many problems leading to equations with
Levy Laplacians and to Levy-Laplace operators, for example
superconductivity theory, the theory of control systems, the
Gauss random field theory, and the Yang-Mills equation. The book
is complemented by an exhaustive bibliography. The result is a
work that will be valued by those working in functional analysis,
partial differential equations and probability theory.
Contents
Introduction; 1. The Levy Laplacian; 2. Levy-Laplace operators; 3.
Symmetric Levy-Laplace operators; 4. Harmonic functions of
infinitely many variables; 5. Linear elliptic and parabolic
equations with Levy Laplacians; 6. Quasilinear and nonlinear
elliptic equation with Levy Laplacians; 7. Nonlinear parabolic
equations with Levy Laplacians; 8. Appendix. Levy-Dirichlet forms
and associated Markov processes; Bibliography; Index.
Publication is planned for April 2005
650 pages 108 tables 158 figures
Hardback |ISBN:0-521-84426-6
Paperback | ISBN:0-521-60577-6
Courses: Choice Analysis, Travek Demand Modelling, Market
Research Methods, Applied Econometrics, Discrete Choice Analysis,
Quantitative Geography.
Almost without exception, everything human beings undertake
involves a choice. In recent years there has been a growing
interest in the development and application of quantitative
statistical methods to study choices made by individuals with the
purpose of gaining a better understanding both of how choices are
made and of forecasting future choice responses. In this primer
the authors provide an unintimidating introduction to the main
techniques of choice analysis and include detail on themes such
as data collection and preparation, model estimation and
interpretation and the design of choice experiments. A companion
website to the book provides practice data sets and software to
estimate the main discrete choice models such as multinomial
logit, nested logit and mixed logit. This primer will be an
invaluable resource to students as well as of immense value to
consultants and professionals, researchers and anyone else
interested in choice analysis and modelling.
Contents
Preface; 1. In the beginning; 2. Basic notations of statistics; 3.
Choosing; 4. Paradigms of choice data; 5. Processes in setting up
stated choice experiments; 6. Choices in data collection; 7.
Nlogit for applied choice analysis: a primer; 8. Handling choice
data; 9. Case study: model choice data; 10. Getting started
modelling: the workhorse - MNL; 11. Getting more from your model;
12. Practical issues in the application of choice models; 13.
Allowing for similarity of alternatives; 14. Nested logit
estimation; 15. The mixed logit model; 16. Mixed logit
estimation; Nlogit terms and commands; References; Index.
Reviews
‘I cannot imagine a better introduction to choice modeling. The
authors manage to bring a vivid, storytelling voice to this
complex topic, with language that has personality and rhythm. The
various interrelated concepts and procedures that constitute
choice modeling come across as simple and straightforward. An
amazing feat. The ins-and-outs of a computer code are also taught
along with the statistical methods. This integration of computer
language within the text is unusual and highly valuable, giving
readers all the steps that are needed to implement the methods on
their own data.’ Kenneth Train, Adjunct Professor, Department
of Economics, University of California, Berkeley
‘With all knowledge, the fundamental concepts constitute the
most important part of learning. Hensher et al. have taken this
to heart and done a superb job here in explaining the trickiest
of discrete choice survey and analysis concepts in a simple,
elegant, and intuitive fashion. This book, written by leading
authorities in the discrete choice field, is required reading not
only for beginners, but also for those experienced researchers
who would like to clarify basic concepts. It is a much-needed and
welcome addition to a field that is seeing a literal revolution
in the analyst's ability to incorporate and estimate realistic
behavioral structures. The book holds the hands of readers and
walks them through the new developments in the field. Let it not
be said any more that the recent advances in discrete choice
analysis are beyond the reach of all but the nerdiest of
researchers!’ Chandra Bhat, University of Texas, Austin