A primer of real functions / by Ralph P. Boas, Jr.

Location  Call Number  Status  Consortium Loan 

George Washington  
WRLC Shared Collections Facility

QA 331.5 .B57 1981 (show me on map) 
Offsite

Request 
American  
LIB stacks

QA3 .M31 no.13 1981  Available  Request 
UDC  
Van Ness stacks

QA 331 .B646 1981  Available  Request 
Van Ness stacks

QA 331 .B646 1981  Available  Request 
Van Ness stacks

QA 331 .B646 1981  Available  Request 
WRLC Shared Collections Facility

QA 331 .B646 1981 
Offsite

Request 
WRLC Shared Collections Facility

QA 331 .B646 1981 
Offsite

Request 
George Mason  
Fenwick stacks

QA331.5 .B57 1981  Available  Request 
Subjects 
Fonctions de variables réelles.
Functions of real variables. Funktion (Mathematik) Mathématiques. 
Series 
Carus mathematical monographs ; no. 13.

Description 
xi, 232 pages : illustrations ; 20 cm.

Copyright Date 
[1981]
©1981 
Notes 
Includes bibliographical references (pages 185196) and index.

Summary 
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 everywhereoscillating 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 selfstudy 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.

Contents 
I. Sets. 1. Sets  2. Sets of real numbers  3. Countable and uncountable sets  4. Metric spaces  5. Open and closed sets  6. Dense and nowhere dense sets  7. Compactness  8. Convergence and completeness  9. Nested sets and Baire's theorem  10. Some applications of Baire's theorem  11. Sets of measure zero  II. Functions. 12. Functions  13. Continuous functions  14. Properties of continuous functions  15. Upper and lower limits  16. Sequences of functions  17. Uniform convergence  18. Pointwise limits of continuous functions  19. Approximations to continuous functions  20. Linear functions  21. Derivatives  22. Monotonic functions  23. Convex functions  24. Infinitely differentiable functions.

Genre 
Einführung.
Einführung. 
Network Numbers 
(OCoLC)8100533
(OCoLC)ocm08100533 
WorldCat  Search OCLC WorldCat 
WorldCat Identities  Boas, Ralph P. 19121992.
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