Synopses & Reviews
Praise for the First Edition
"An enticing approach to the subject. . . . Students contemplating a career in statistics will acquire a valuable understanding of the underlying structure of statistical theory. . . statisticians should consider purchasing it as an additional reference on advanced calculus."
Journal of the American Statistical Association
"This book is indeed a pleasure to read. It is simple to understand what the author is attempting to accomplish, and to follow him as he proceeds. . . . I would highly recommend the book for ones personal collection or suggest your librarian purchase a copy."
Journal of the Operational Research Society
Knowledge of advanced calculus has become imperative to the understanding of the recent advances in statistical methodology. The First Edition of Advanced Calculus with Applications in Statistics has served as a reliable resource for both practicing statisticians and students alike. In light of the tremendous growth of the field of statistics since the books publication, André Khuri has reexamined his popular work and substantially expanded it to provide the most up-to-date and comprehensive coverage of the subject.
Retaining the originals much-appreciated application-oriented approach, Advanced Calculus with Applications in Statistics, Second Edition supplies a rigorous introduction to the central themes of advanced calculus suitable for both statisticians and mathematicians alike. The Second Edition adds significant new material on:
- Basic topological concepts
- Orthogonal polynomials
- Fourier series
- Approximation of integrals
- Solutions to selected exercises
The volumes user-friendly text is notable for its end-of-chapter applications, designed to be flexible enough for both statisticians and mathematicians. Its well thought-out solutions to exercises encourage independent study and reinforce mastery of the content. Any statistician, mathematician, or student wishing to master advanced calculus and its applications in statistics will find this new edition a welcome resource.
Review
"This is an exceptional book, which I would recommend for anyone beginning a career in statistical research." (Journal of the American Statistical Association, September 2004)
Synopsis
- Successful track record
- No competition
- Unique blend of mathematics and statistics
- Emphasis on applications
Synopsis
Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics. Features detailed coverage of optimization techniques and their applications in statistics. Introduces approximation theory. Each chapter contains a significant amount of examples and exercises as well as additional reading lists.
Description
[Wiley series in probability and mathematical statistics. Applied probability and statistics section] Includes bibliographical references (p. 446-455) and index.
About the Author
ANDRE I. KHURI, PhD, is a Professor in the Department of Statistics at the University of Florida, Gainesville.
Table of Contents
Basic Concepts in Linear Algebra.
Limits and Continuity of Functions.
Differentiation.
Infinite Sequences and Series.
Integration.
Multidimensional Calculus.
Optimization in Statistics.
Approximation of Functions.
General Bibliography.
Index.