This is a revised, updated, and augmented edition of a classic Carus monograph with a new chapter on integration and its applications. Earlier editions covered sets, metric spaces, continuous functions, and differentiable functions. To that, this edition adds sections on measurable sets and functions and the Lebesgue and Stieltjes integrals. The book retains the informal chatty style of the previous editions. It presents a variety of interesting topics, many of which are not commonly encountered in undergraduate textbooks, such as the existence of continuous everywhere-oscillating functions; two functions having equal derivatives, yet not differing by a constant; application of Stieltjes integration to the speed of convergence of infinite series. For readers with a background in calculus, the book is suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Students of mathematics will find here the sense of wonder that was associated with the subject in its early days.
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This is a revised, updated, and augmented edition of a classic Carus monograph with a new chapter on integration and its applications. Earlier editions covered sets, metric spaces, continuous functions, and differentiable functions. This fourth edition adds sections on measurable sets and functions and the Lebesgue and Stieltjes integrals. A variety of interesting and unusual topics are presented in an informal chatty style.
'It is a great pleasure to see the new, the fourth edition of this gem which is well-known all over the world where mathematicians live. This is an important work especially for teachers and even for (trained) students.' Acta. Sci. Math.
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Hardcover. Condition: Near Fine. Dust Jacket Condition: Very Good dust. Fourth Edition. 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. Seller Inventory # LCH47132
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