Hartfiel; Darald J. Texas A&M University, College
Matrix Theory and Applications with Matlab
Description
Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in
the text. All of the material is presented from a matrix point of view with enough rigor for students to learn to compose arguments and proofs and adjust the material to cover other problems. The treatment includes optional subsections covering applications, and the final chapters move beyond basic matrix theory to discuss more advanced topics, such
as decompositions, positive definite matrices, graphics, and topology. Filled with illustrations, examples, and exercises that reinforce understanding, Matrix Theory and Applications with MATLAB allows readers to experiment and visualize results in a way that no other text does. Its rigor, use of MATLAB, and focus on applications better prepares them to use the material in their future work and research, to extend the material, and perhaps obtain new results of their own.
ISBN 1-58488-108-9
Rees; D.G. Oxford Brookes University, Oxford
Essential Statistics, Fourth Edition
Description
An introductory text for students taking a first course in statistics-in fields as diverse as engineering, business, chemistry, and biology-Essential Statistics: Fourth Edition thoroughly updates and enhances the hugely successful third edition. It presents new information on modern statistical techniques such as Analysis of Variance (ANOVA), and software such as MINITAB・for WINDOWS. An experienced former lecturer, the author communicates to students in his trademark easy-to-follow style. Keeping complex mathematical theory to a minimum, Rees presents a wealth of fully explained worked examples throughout the text. In addition, the end-of-chapter Worksheets relate to a variety of fields-enabling students to see the relevance of the numerous methods to their study areas. Essential Statistics: Fourth Edition emphasizes the principles and assumptions underlying the statistical methods, thus providing the tools needed for students to use and interpret statistical data effectively.
Features
o Emphasizes the continued need for careful analysis-even with the increased prominence of computers
o Addresses the needs of students who are studying statistics as part of another field, as well as those needing a foundation in statistics
o Provides Worksheet questions and exercises at the end of each chapter
o Clear and accessible, written by a teacher with many years of experience
o Includes an Appendix of all Worksheet solutions
ISBN 1-58488-007-4
Texts in Statistical Sceince Series
Pistone; Giovanni Turino University, Torino, ITA
Riccomagno; Eva Eurandon, Eidenhoven, The Neth
Wynn; Henry P University of Warwick, CoventrAlgebraic Statistics:
Computational Commutative Algebra in Statistics
Description
Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two
chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model. As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science.
Features
o Introduces a very new and expanding area to statisticians
o Proves the subject's applicability to the design of experiments, making it relevant to a variety of disciplines, including computer science, information theory, and reliability
o Includes a motivating introductory chapter that helps make the subject accessible to a broad audience
o Describes the relevant available software
ISBN 1-58488-204-2
Monographs on Statistics and Applied Probability Series
Howell; Kenneth B. University of Alabama, Huntsvi
Principles of Fourier Analysis
Description
Fourier analysis remains among the most useful and widely employed techniques in the toolboxes of the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need a clear indication of the limitations of those results and formulas. Principles of Fourier Analysis furnishes all that and more. It provides a comprehensive overview of the mathematical theory of Fourier
analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author's development is strikingly different from typical presentations. His approach to defining the classical Fourier transform yields a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also presents a new generalized theory based on the use of Gaussian test functions that results in an even more general, yet simpler theory than that based on test
functions of rapid descent. Much of the material is motivated by nonrigorous derivations and includes illustrations of what can go wrong when formulas are misused. With clear, engaging exposition, Principles of Fourier Analysis stimulates readers' appreciation and understanding of the fundamental concepts and helps them develop the ability to intelligently handle the more sophisticated mathematics that Fourier analysis ultimately requires,
Features
o Offers an accessible introduction to Fourier analysis designed to give engineers and scientists a practical understanding
o Provides a mathematically solid development of the material so readers can fully comprehend the fundamental principles and use the results and formulas with confidence
o Presents a new, extended generalized theory based on the author's own research
o Supplies a ready reference for the most general results and formulas
o Includes numerous illustrations and exercises
ISBN 0-8493-8275-0
Studies in Advanced Mathematics Series
Walter; Gilbert G. University of Wisconsin, Milwa
Shen; Xiaoping Eastern Connecticut State UnivWavelets and Other Orthogonal Systems, Second Edition
Description
A bestselling text and reference in its first edition, Wavelets and Other Orthogonal Systems, Second Edition has been fully updated to reflect the growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to
periodic wavelets, and positive wavelets.
Features
o Updates the first edition to reflect the rapid growth and significant advances made in the field
o Includes important new material on multiwavelets, Daubechies wavelets, positive wavelets, and impulse trains
o Expands the chapter on statistics with discussion of positive wavelet density estimators, density estimators with noisy data, and threshold methods
o Introduces new exercises, examples, and illustrations
Contents
Orthogonal Series. A Primer on Tempered Distributions. An Introduction to Orthogonal Wavelet Theory. Convergence and Summability of Fourier Series. Wavelets and Tempered Distributions. Orthogonal Polynomials. Other Orthogonal Systems. Pointwise Convergence of Wavelet Expansions. A Shannon Sampling Theorem in Wavelet subspaces. Extensions of Wavelet Sampling Theorems. Translation and Dilation Invariance in Orthogonal Systems. Analytic Representations via Orthogonal Series. Orthogonal Series in Statistics. Orthogonal Systems and Stochastic
Processes.
ISBN 1-58488-227-1
Studies in Advanced Mathematics Series