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A Primer of Real Functions

Af: Ralph P. Boas, Harold P. Boas Engelsk Paperback

A Primer of Real Functions

Af: Ralph P. Boas, Harold P. Boas Engelsk Paperback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 305
ISBN-13: 9781470454326
Indbinding: Paperback
Udgave:
ISBN-10: 1470454327
Kategori: Regning og matematisk analyse
Udg. Dato: 30 dec 1996
Længde: 23mm
Bredde: 219mm
Højde: 142mm
Forlag: American Mathematical Society
Oplagsdato: 30 dec 1996
Forfatter(e): Ralph P. Boas, Harold P. Boas
Forfatter(e) Ralph P. Boas, Harold P. Boas

Kategori Regning og matematisk analyse

ISBN-13 9781470454326

Sprog Engelsk

Indbinding Paperback

Sider 305

Udgave

Længde 23mm

Bredde 219mm

Højde 142mm

Udg. Dato 30 dec 1996

Oplagsdato 30 dec 1996

Forlag American Mathematical Society