Buy A Primer of Real Functions Book by Harold P. Boas
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Real analysis, real variables > A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)
A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)

A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

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.

Table of Contents:
Part 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 problem; 10. Some applications of Baire's theorem; 11. Sets of measure zero; Part 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; Part III. Integration: 25. Lebesgue measure; 26. Measurable functions; 27. Definition of the Lebesgue integral; 28. Properties of Lebesgue integrals; 29. Applications of the Lebesgue integral; 30. Stieltjes integrals; 31. Applications of the Stieltjes integral; 32. Partial sums of infinite series; Answers to exercises.

Review :
'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.


Best Sellers


Product Details
  • ISBN-13: 9780883850299
  • Publisher: Mathematical Association of America
  • Publisher Imprint: Mathematical Association of America
  • Edition: Revised edition
  • Language: English
  • Returnable: Y
  • Spine Width: 30 mm
  • Width: 136 mm
  • ISBN-10: 088385029X
  • Publisher Date: 30 Jan 1997
  • Binding: Hardback
  • Height: 195 mm
  • No of Pages: 319
  • Series Title: Series Number 13 Mathematical Association of America Textbooks
  • Weight: 405 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)
Mathematical Association of America -
A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

A Primer of Real Functions: (Series Number 13 Mathematical Association of America Textbooks)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!