Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate students of mathematics, it is also appropriate for students of engineering, physics, and economics who seek an understanding of real analysis. The author encourages an intuitive approach to problem solving and offers concrete examples, diagrams, and geometric or physical interpretations of results. Detailed solutions to the problems appear within the text, making this volume ideal for independent study. Topics include metric spaces, Euclidean spaces and their basic topological properties, sequences and series of real numbers, continuous functions, differentiation, Riemann-Stieltjes integration, and uniform convergence and applications.

Real Variables with Basic Metric Space Topology (Dover Books on Mathematics)

Science & Math

Ash, Prof. Robert B.

Mathematics

Dover Publications

This brief course in statistical inference was extensively class tested by the author at the University of Illinois, and it requires only a basic familiarity with probability and matrix and linear algebra. Ninety problems with solutions make it an ideal choice for self-study as well as a helpful review of a wide range of statistical formulas with applications in business, government, public administration, and other fields. The first eight chapters review results from basic probability that are important to statistics, including transformation of random variables, Jacobians, moment-generating functions, sampling from a normal population, order statistics, and the central limit theorem. Additional subjects include estimation, confidence intervals, hypothesis testing, correlation, nonparametric statistics, and many other topics.

Statistical Inference: A Concise Course (Dover Books on Mathematics)

See the best price to sell, buy, or rent books by Ash, Prof. Robert B.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Ash, Prof. Robert B.

See the best price to sell, buy, or rent books by Ash, Prof. Robert B.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Real Variables with Basic Metric Space Topology (Dover Books on Mathematics)

Statistical Inference: A Concise Course (Dover Books on Mathematics)