Buy new:
$76.95
FREE delivery: Monday, Feb 19
Ships from: Amazon.com
Sold by: Amazon.com
List Price: $89.99 Details

The List Price is the suggested retail price of a new product as provided by a manufacturer, supplier, or seller. Except for books, Amazon will display a List Price if the product was purchased by customers on Amazon or offered by other retailers at or above the List Price in at least the past 90 days. List prices may not necessarily reflect the product's prevailing market price.
Learn more
Save: $13.04 (14%)
FREE Returns
Return this item for free
  • Free returns are available for the shipping address you chose. You can return the item for any reason in new and unused condition: no shipping charges
  • Learn more about free returns.
FREE delivery Monday, February 19
Or fastest delivery Wednesday, February 14. Order within 16 hrs 58 mins
In Stock
$$76.95 () Includes selected options. Includes initial monthly payment and selected options. Details
Price
Subtotal
$$76.95
Subtotal
Initial payment breakdown
Shipping cost, delivery date, and order total (including tax) shown at checkout.
FREE delivery February 24 - 28
Or fastest delivery February 21 - 23
Condition: Used: Good
Comment: Light or medium signs of use. Hand inspected with love. Satisfaction guaranteed or return for a full refund. Ships directly from Amazon. Your purchase supports a small business. Email with any questions. Have a wonderful day!
Access codes and supplements are not guaranteed with used items.
Loading your book clubs
There was a problem loading your book clubs. Please try again.
Not in a club? Learn more
Amazon book clubs early access

Join or create book clubs

Choose books together

Track your books
Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club that’s right for you for free.
Kindle app logo image

Download the free Kindle app and start reading Kindle books instantly on your smartphone, tablet, or computer - no Kindle device required.

Read instantly on your browser with Kindle for Web.

Using your mobile phone camera - scan the code below and download the Kindle app.

QR code to download the Kindle App

Follow the authors

See all
Something went wrong. Please try your request again later.

Concrete Mathematics: A Foundation for Computer Science (2nd Edition) 2nd Edition

4.6 4.6 out of 5 stars 228 ratings

{"desktop_buybox_group_1":[{"displayPrice":"$76.95","priceAmount":76.95,"currencySymbol":"$","integerValue":"76","decimalSeparator":".","fractionalValue":"95","symbolPosition":"left","hasSpace":false,"showFractionalPartIfEmpty":true,"offerListingId":"8tYcHZhwYHuiGpZgP1tlLcVauDe3ofzuNTxOsS5EQ4Ce9XSq%2FI6VNEZUgeN6csV93Ie%2B36HOVipn9JglUd0ndDT4cJgAlTTGd%2BxCN5UlOZVr3hP3PMNuIfpb3PimkiUds%2BLf4Zgj8g4%3D","locale":"en-US","buyingOptionType":"NEW","aapiBuyingOptionIndex":0}, {"displayPrice":"$61.72","priceAmount":61.72,"currencySymbol":"$","integerValue":"61","decimalSeparator":".","fractionalValue":"72","symbolPosition":"left","hasSpace":false,"showFractionalPartIfEmpty":true,"offerListingId":"8tYcHZhwYHuiGpZgP1tlLcVauDe3ofzuYycuzlsFJqPTDIW152aGqkd5pw3fg2ZF7bj0U16akO%2Fd7vHB271hE0zcE3ILe4VjWErt49PYNmsSewq8Hm2KOpXDezHTPPjrM4T5wg5pv0Ss2ki0cOzq2PMBmhp255kcfmNZYer1y5ymewYKBC4PMLCLILi3Xgya","locale":"en-US","buyingOptionType":"USED","aapiBuyingOptionIndex":1}]}

Purchase options and add-ons

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline.

Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.

Major topics include:

  • Sums
  • Recurrences
  • Integer functions
  • Elementary number theory
  • Binomial coefficients
  • Generating functions
  • Discrete probability
  • Asymptotic methods

This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

From the Back Cover

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline.

Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.

Major topics include:

  • Sums
  • Recurrences
  • Integer functions
  • Elementary number theory
  • Binomial coefficients
  • Generating functions
  • Discrete probability
  • Asymptotic methods

This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.



About the Author

Ronald L. Graham (1935–2020) was for many years the Chief Scientist at AT&T Labs Research. He was also a Professor of Computer and Information Science at the University of California, San Diego, and a former President of the American Mathematical Society and the Mathematical Association of America. He was the coauthor of seven other mathematics books.

Donald E. Knuth is Professor Emeritus of The Art of Computer Programming at Stanford University. His prolific writings include four volumes on The Art of Computer Programming, and five books related to his TEX and METAFONT typesetting systems.

Oren Patashnik is a member of the research staff at the Center for Communications Research, La Jolla, California. He is also the author of BibTEX, a widely used bibliography processor.

Amazon First Reads | Editors' picks at exclusive prices

Frequently bought together

$76.95
Get it as soon as Monday, Feb 19
In Stock
Ships from and sold by Amazon.com.
+
$288.99
Get it as soon as Wednesday, Feb 21
Only 1 left in stock - order soon.
Sold by Principled Seller and ships from Amazon Fulfillment.
+
$88.00
Get it Feb 15 - 20
Only 18 left in stock - order soon.
Ships from and sold by Wilvoryllc.
Total price:
To see our price, add these items to your cart.
Details
Added to Cart
Some of these items ship sooner than the others.
Choose items to buy together.

Product details

  • Publisher ‏ : ‎ Addison-Wesley Professional; 2nd edition (February 28, 1994)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 672 pages
  • ISBN-10 ‏ : ‎ 0201558025
  • ISBN-13 ‏ : ‎ 978-0201558029
  • Item Weight ‏ : ‎ 2.65 pounds
  • Dimensions ‏ : ‎ 9.38 x 7.82 x 1.44 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 228 ratings

Important information

To report an issue with this product or seller, click here.

About the authors

Follow authors to get new release updates, plus improved recommendations.

Customer reviews

4.6 out of 5 stars
4.6 out of 5
228 global ratings

Top reviews from the United States

Reviewed in the United States on October 3, 2020
16 people found this helpful
Report
Reviewed in the United States on May 23, 2019
16 people found this helpful
Report
Reviewed in the United States on January 31, 2016
4 people found this helpful
Report
Reviewed in the United States on May 30, 2014
151 people found this helpful
Report
Reviewed in the United States on December 19, 2022
One person found this helpful
Report

Top reviews from other countries

Translate all reviews to English
Client d'Amazon
5.0 out of 5 stars Excellent état
Reviewed in France on August 31, 2023
Pleased reader
5.0 out of 5 stars Per migliorare le proprie abilità di matematica discreta
Reviewed in Italy on September 1, 2022
Conor Fairclough
5.0 out of 5 stars Many fun but difficult excercises, weak explanations
Reviewed in the United Kingdom on December 31, 2021
2 people found this helpful
Report
Alan
5.0 out of 5 stars Podría simplificarse
Reviewed in Mexico on October 15, 2019
ジャージー
5.0 out of 5 stars 整数論が好きになる本
Reviewed in Japan on December 2, 2017
6 people found this helpful
Report