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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Publisher:
The Mathematical Association of America
Published:
1960
Language:
English
Alibris ID:
11146761412
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Seller's Description:
Good+ No Jacket. Book Moderate wear/rubbing to cover corners and edges. Corner of front endpaper is torn off; previous owner's name on endpaper. Spine is tight; pgs are unmarked.
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Seller's Description:
UsedVeryGood. Hardcover; second impression of a 1960 copyright; light fading, light shelf wear to exterior; former owner's name written on front endpaper; otherwise contents in very good condition with clean text, firm binding.
Publisher:
Mathematical Association of America (MAA)
Published:
1982
Language:
English
Alibris ID:
17281456512
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Good. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Publisher:
Mathematical Association of America (MAA)
Published:
1982
Language:
English
Alibris ID:
17889907936
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Very good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority!
Publisher:
Mathematical Association of America (MAA)
Published:
1981
Language:
English
Alibris ID:
17445070726
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Seller's Description:
Volume 13. This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 400grams, ISBN: 0883850222.
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.
