Theory and Application of Infinite Series and over one million other books are available for Amazon Kindle. Learn more
Qty:1
  • List Price: $22.95
  • Save: $4.49 (20%)
FREE Shipping on orders over $35.
Only 9 left in stock (more on the way).
Ships from and sold by Amazon.com.
Gift-wrap available.
Theory and Application of... has been added to your Cart
+ $3.99 shipping
Used: Acceptable | Details
Sold by tacoma_goodwill
Condition: Used: Acceptable
Comment: All pages are intact, and the spine and cover are also intact. May have some usage wear, missing or damaged dust jacket, stickers, cover creases, bumped corners, bent pages, remainder mark, previous owner label or name, inscription, notes, underlining and/or highlighting. Text only; no CDs, InfoTrac, Access Codes, Activation Keys, or other inclusions, unless otherwise noted.
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See all 2 images

Theory and Application of Infinite Series (Dover Books on Mathematics) Paperback – March 1, 1990

11 customer reviews

See all 15 formats and editions Hide other formats and editions
Amazon Price New from Used from
Kindle
"Please retry"
Hardcover
"Please retry"
$12.86
Paperback
"Please retry"
$18.46
$11.00 $2.45
Unknown Binding
"Please retry"
$40.00

Best Books of the Year So Far
Best Books of the Year So Far
Looking for something great to read? Browse our editors' picks for 2015's Best Books of the Year So Far in fiction, nonfiction, mysteries, children's books, and much more.
$18.46 FREE Shipping on orders over $35. Only 9 left in stock (more on the way). Ships from and sold by Amazon.com. Gift-wrap available.

Frequently Bought Together

Theory and Application of Infinite Series (Dover Books on Mathematics) + Infinite Sequences and Series (Dover Books on Mathematics) + Theory of Functions, Parts I and II (Dover Books on Mathematics) (Pts. 1 & 2)
Price for all three: $44.09

Buy the selected items together


Editorial Reviews

Language Notes

Text: English
Original Language: German
NO_CONTENT_IN_FEATURE

Best Books of the Month
Best Books of the Month
Want to know our Editors' picks for the best books of the month? Browse Best Books of the Month, featuring our favorite new books in more than a dozen categories.

Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 563 pages
  • Publisher: Dover Publications (March 1, 1990)
  • Language: English
  • ISBN-10: 0486661652
  • ISBN-13: 978-0486661650
  • Product Dimensions: 8.4 x 5.4 x 1.2 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon Best Sellers Rank: #597,128 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

24 of 27 people found the following review helpful By Tony Aponick on January 10, 2000
Format: Paperback
The last chapter on the Euler-MacLauren summation formula, and attendant interrelations among the Zeta function, Bernoulli Numbers and Bernoulli Polynomials is alone worth three times the price of this gem. Chock full of recipes and explanations of many of those little annoying points you don't understand fully. Do you REALLY understand what 'asymptotically equal to (~)' means? Heartily recommended!
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
35 of 44 people found the following review helpful By V. N. Dvornychenko on February 15, 2002
Format: Paperback Verified Purchase
Anything to do with "infinity" is fascinating. Much of the history of mathematics has been a duel between those who see "infinity" as a delusion and impediment to progress, and those who see it as the greatest tool in the mathematician's toolbox. Infinite series, which may be loosely defined as sums of an infinite number of terms (numbers), take on some of this fascination. Although this book will appeal mainly to the professional mathematician, there is enough historical and elementary material to profit many college students- and possibly even some high school students.
Professional mathematician will find this book useful for filling in gaps left by topics not covered in traditional courses. An example is the detailed discussion of Euler's summation formula, which goes far beyond the simplified form usually encountered in textbooks. Another fascinating topic covered is divergent series, and methods by which meaningful sums can be assigned to these. There is something counterintuitive -- and, frankly, mind-boggling -- about many of these results.

Mathematicians can be put into several categories: 1) applied-mathematicians/computer-scientists/engineers concerned with solving practical problems, 2) those concerned with pedagogy and the history of mathematics, 3) epistemology and rigorous proofs, and 4) formalists. The fourth category, formalists, is difficult to define, but may be described as those that emphasize obtaining new results through formal (technical) manipulations, without undue concern regarding the meaning of the intermediate steps. The greatest exponents of this art were Euler and Ramanujan, though Fourier, Dirac and Heaviside are also solid members of this camp.
Read more ›
1 Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
9 of 11 people found the following review helpful By A Customer on October 9, 1998
Format: Paperback
Excellent book for consulting with lots of examples and problems. Very well written but with the problem of very old notation. Everything you need to know about series is in this book. Very good to use in problems seminars
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
3 of 3 people found the following review helpful By Amazon Customer on May 24, 2014
Format: Kindle Edition Verified Purchase
This is a classic book written by Knopp who shows a complete mastery of the subject. The construction of real numbers is unique and he uses nests to define them. If ever you wanted information on series then this book is a bible on that topic. Any student of mathematics must have this in his collection. The translator has done an excellent job.
Dr. Knopp also has a series of books on the theory of complex functions and are highly recommended.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
2 of 2 people found the following review helpful By X Avatar on August 15, 2013
Format: Paperback Verified Purchase
This is a very fantastic book on infinite series. The coverage of subjects in the book is very comprehensive and goes way beyond a simple introduction to infinite series. Reading this book though, I would recommend teaching yourself Real/Complex Analysis along with this as it will give you greater insights. Overall though I am pleased with this book, and the price cannot be beat.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
Format: Paperback
I read this book in graduate school, though it was not required or assigned, I heard about it and read it carefully cover-to-cover. Twenty years later I am now in the process of reading it again, carefully, cover-to-cover. I found this book to be indispensable reading for studying higher level math. It's really a beautiful book and a classic. But I don't think it would be good to read as a first introduction to the subject.

The real problem with this book is its 1920's style. It desperately needs to beu pdated to modern exposition. There is WAY too much flowery exposition in his construction of the real numbers. I think it could be cut down by 2/3 without losing any content and be far more readable by a modern student. Maybe I'll do that if I get a chance, since I doubt there are still copyrights on a book this old.

There are several ways to construct the real numbers. Knopp chose to use "nets". He also discusses Dedekind cuts and the approach of using Cauchy sequences. If I were to update this book I would still use nets, because it would be too big of a modification. But if I were writing the subject from scratch I would use Cauchy sequences because that is the method that generalizes best to arbitrary metric spaces.

But once you get past these painful introductions, and get used to his style, the rest of the book is really very pleasant to read. If you take the time to study this well, you will be a better mathematician all around.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more
Theory and Application of Infinite Series (Dover Books on Mathematics)
This item: Theory and Application of Infinite Series (Dover Books on Mathematics)
Price: $18.46
Ships from and sold by Amazon.com

What Other Items Do Customers Buy After Viewing This Item?