Series: Undergraduate Texts in Mathematics,
2005, XI, 408 p., Hardcover
ISBN: 0-387-22025-9
About this textbook
Undergraduate Algebra is a text for the standard undergraduate
algebra course. It concentrates on the basic structures and
results of algebra, discussing groups, rings, modules, fields,
polynomials, finite fields, Galois Theory, and other topics. The
author has also included a chapter on groups of matrices which is
unique in a book at this level. Throughout the book, the author
strikes a balance between abstraction and concrete results, which
enhance each other. Illustrative examples accompany the general
theory. Numerous exercises range from the computational to the
theoretical, complementing results from the main text.
For the third edition, the author has included new material on
product structure for matrices (e.g. the Iwasawa and polar
decompositions), as well as a description of the conjugation
representation of the diagonal group. He has also added material
on polynomials, culminating in Noah Snyderfs proof of the Mason-Stothers
polynomial abc theorem.
Table of contents
* Foreword * The Integers * Groups * Rings * Polynomials * Vector
Spaces and Modules * Some Linear Groups * Field Theory * Finite
Fields * The Real and Complex Numbers * Sets * Appendix * Index
Series: Applied Mathematical Sciences, Vol. 107
2005, XVIII, 836 p. 110 illus., Hardcover
ISBN: 0-387-20880-1
About this book
This second edition is an enlarged, completely updated, and
extensively revised version of the authoritative first edition.
It is devoted to the detailed study of illuminating specific
problems of nonlinear elasticity, directed toward the scientist,
engineer, and mathematician who wish to see careful treatments of
precisely formulated problems. Special emphasis is placed on the
role of nonlinear material response. The mathematical tools from
nonlinear analysis are given self-contained presentations where
they are needed. This book begins with chapters on (geometrically
exact theories of) strings, rods, and shells, and on the
applications of bifurcation theory and the calculus of variations
to problems for these bodies. The book continues with chapters on
tensors, three-dimensional continuum mechanics, three-dimensional
elasticity, large-strain plasticity, general theories of rods and
shells, and dynamical problems. Each chapter contains a wealth of
interesting, challenging, and tractable exercises.
Table of contents
ISBN: 0-470-85756-0
Hardcover
502 pages
June 2005
Human health risk assessment involves the measuring of risk of
exposure to disease, with a view to improving disease prevention.
Mathematical, biological, statistical, and computational methods
play a key role in exposure assessment, hazard assessment and
identification, and dose-response modelling.
Recent Advances in Quantitative Methods in Cancer and Human
Health Risk Assessment is a comprehensive text that accounts for
the wealth of new biological data as well as new biological,
toxicological, and medical approaches adopted in risk assessment.
It provides an authoritative compendium of state-of-the-art
methods proposed and used, featuring contributions from eminent
authors with varied experience from academia, government, and
industry.
Provides a comprehensive summary of currently available
quantitative methods for risk assessment of both cancer and non-cancer
problems.
Describes the applications and the limitations of current
mathematical modelling and statistical analysis methods (classical
and Bayesian).
Includes an extensive introduction and discussion to each chapter.
Features detailed studies of risk assessments using biologically-based
modelling approaches.
Discusses the varying computational aspects of the methods
proposed.
Provides a global perspective on human health risk assessment by
featuring case studies from a wide range of countries.
Features an extensive bibliography with links to relevant
background information within each chapter.
Recent Advances in Quantitative Methods in Cancer and Human
Health Risk Assessment will appeal to researchers and
practitioners in public health & epidemiology, and
postgraduate students alike. It will also be of interest to
professionals working in risk assessment agencies.
ISBN: 0-471-67778-7
Hardcover
387 pages
2005
Monte Carlo methods have been used for decades in physics,
engineering, statistics, and other fields. Monte Carlo Simulation
and Finance explains the nuts and bolts of this essential
technique used to value derivatives and other securities. Author
and educator Don McLeish examines this fundamental process, and
discusses important issues, including specialized problems in
finance that Monte Carlo and Quasi-Monte Carlo methods can help
solve and the different ways Monte Carlo methods can be improved
upon.
Table of contents
Chapter 1. Introduction.
Chapter 2. Some Basic Theory of Finance.
Introduction to Pricing: Single PeriodModels.
Multiperiod Models.
Determining the Process Bt.
Minimum Variance Portfolios and the Capital Asset Pricing Model.
Entropy: choosing a Q measure.
Models in Continuous Time.
Problems.
Chapter 3. Basic Monte Carlo Methods.
Uniform Random Number Generation.
Apparent Randomness of Pseudo-Random Number Generators.
Generating Random Numbers from Non-Uniform Continuous
Distributions.
Generating Random Numbers from Discrete Distributions.
Random Samples Associated with Markov Chains.
Simulating Stochastic Partial Differential Equations.
Problems.
Chapter 4. Variance Reduction Techniques.
Introduction.
Variance reduction for one-dimensional Monte-Carlo Integration.
Problems.
Chapter 5. Simulating the value of Options.
Asian Options.
Pricing a Call option under stochastic interest rates.
Simulating Barrier and lookback options.
Survivorship Bias.
Problems.
Chapter 6. Quasi- Monte Carlo Multiple Integration.
Introduction.
Theory of Low discrepancy sequences.
Examples of low discrepancy sequences.
Problems.
Chapter 7. Estimation and Calibration.
Introduction.
Finding a Root.
Maximization of Functions.
MaximumLikelihood Estimation.
Using Historical Data to estimate the parameters in Diffusion
Models.
Estimating Volatility.
Estimating Hedge ratios and Correlation Coefficients.
Problems.
Chapter 8. Sensitivity Analysis, Estimating Derivatives and the
Greeks.
Estimating Derivatives.
Infinitesimal Perturbation Analysis: Pathwise differentiation.
Calibrating aModel using simulations.
Problems.
Chapter 9. Other Directions and Conclusions.
Alternative Models.
ARCH and GARCH.
Conclusions.
Notes.
References.
Index.
Series: Statistics: Textbooks and Monographs Volume: 182
ISBN: 1574446258
Publication Date: 4/8/2005
Number of Pages: 272
Includes an introduction to the design of experiments and quadratic optimization
Discusses two- and three-level design types
Explores statistical and non-statistical approaches for location optimization and variability reduction
Elucidates Taguchi's approach to design of experiments
Includes coverage of simplistic graphical methods and formal statistical tests for studying the validity of the prediction equation
In today's high-technology world, with flourishing e-business and intense competition at a global level, the search for the competitive advantage has become a crucial task of corporate executives. Quality, formerly considered a secondary expense, is now universally recognized as a necessary tool. Although many statistical methods are available for determining quality, there has been no guide to easy learning and implementation until now. Filling that gap, Statistical Design of Experiments with Engineering Applications, provides a ready made, quick and easy-to-learn approach for applying design of experiments techniques to problems. The book uses quality as the main theme to explain various design of experiments concepts.
The authors examine the entire product lifecycle and the tools and techniques necessary to measure quality at each stage. They explain topics such as optimization, Taguchi's method, variance reduction, and graphical applications based on statistical techniques. Wherever applicable the book supplies practical rules of thumb, step-wise procedures that allow you to grasp concepts quickly and apply them appropriately, and examples that demonstrate how to apply techniques. Emphasizing the importance of quality to products and services, the authors include concepts from the field of Quality Engineering. Written with an emphasis on application and not on bogging you down with the theoretical underpinnings, the book enables you to solve 80% of design problems without worrying about the derivation of mathematical formulas.