This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers ...
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This is a revised, updated, and significantly augmented edition of a classic Carus Monograph (a bestseller for over 25 years) on the theory of functions of a real variable. Earlier editions of this classic Carus Monograph covered sets, metric spaces, continuous functions, and differentiable functions. The fourth edition adds sections on measurable sets and functions, the Lebesgue and Stieltjes integrals, and applications. The book retains the informal chatty style of the previous editions, remaining accessible to readers with some mathematical sophistication and a background in calculus. The book is, thus, suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Not intended as a systematic treatise, this book has more the character of a sequence of lectures on a variety of interesting topics connected with real functions. Many of these topics are not commonly encountered in undergraduate textbooks: e.g., the existence of continuous everywhere-oscillating functions (via the Baire category theorem); the universal chord theorem; two functions having equal derivatives, yet not differing by a constant; and application of Stieltjes integration to the speed of convergence of infinite series. This book recaptures the sense of wonder that was associated with the subject in its early days. It is a must for mathematics libraries.
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Near Fine in Very Good dustjacket. 088385029X. Shelfwear only. Light wear to dustjacket. Formulae throughout! This 4th edition is edited by the son (Harold P Boas) of original author (Ralph P Boas). Part of the Mathematical Association of America Textbooks, Series, this edition then builds on the strengths of its predecessors, offering a thorough introduction to real functions. It rigourously and clearly covers topics like continuity, differentiation, and integration. Updated content and examples make it a valuable resource for both students and instructors in advanced mathematics courses. The textbook is renowned for its accessible approach and comprehensive coverage.; 5.43 X 1.18 X 8.5 inches; xii, 305 pages.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A Primer of Real Functions to cart. $72.84, new condition, Sold by Paperbackshop International rated 2.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 1996 by American Mathematical Society.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
This book treats several topics, like applications of Baire Theorem, a monetone function must have derivative almost everywhere, in depth, which I like the best. It has a different approach to the uniform approximation of continuous functions by polynomials.
It is in this book that I saw for the first time that one version of Taylor Theorem is just a consequence of integration by parts.
