Buy new:
$15.95
FREE delivery Monday, July 1 on orders shipped by Amazon over $35
Ships from: Amazon.com
Sold by: Amazon.com
$15.95
Get Fast, Free Shipping with Amazon Prime FREE Returns
FREE delivery Monday, July 1 on orders shipped by Amazon over $35. Order within 5 hrs 57 mins
Only 15 left in stock (more on the way).
$$15.95 () Includes selected options. Includes initial monthly payment and selected options. Details
Price
Subtotal
$$15.95
Subtotal
Initial payment breakdown
Shipping cost, delivery date, and order total (including tax) shown at checkout.
Ships from
Amazon.com
Ships from
Amazon.com
Sold by
Amazon.com
Sold by
Amazon.com
Returns
Eligible for Return, Refund or Replacement within 30 days of receipt
Eligible for Return, Refund or Replacement within 30 days of receipt
Returnable Yes
Resolutions Eligible for refund or replacement
Return Window 30 days from delivery
Refund Timelines Typically, an advance refund will be issued within 24 hours of a drop-off or pick-up. For returns that require physical verification, refund issuance may take up to 30 days after drop-off or pick up. Where an advance refund is issued, we will re-charge your payment method if we do not receive the correct item in original condition. See details here.
Late fee A late fee of 20% of the item price will apply if you complete the drop off or pick up after the ‘Return By Date’.
Restocking fee A restocking fee may apply if the item is not returned in original condition and original packaging, or is damaged or missing parts for reasons not due to Amazon or seller error. See details here.
Returns
Eligible for Return, Refund or Replacement within 30 days of receipt
Returnable Yes
Resolutions Eligible for refund or replacement
Return Window 30 days from delivery
Refund Timelines Typically, an advance refund will be issued within 24 hours of a drop-off or pick-up. For returns that require physical verification, refund issuance may take up to 30 days after drop-off or pick up. Where an advance refund is issued, we will re-charge your payment method if we do not receive the correct item in original condition. See details here.
Late fee A late fee of 20% of the item price will apply if you complete the drop off or pick up after the ‘Return By Date’.
Restocking fee A restocking fee may apply if the item is not returned in original condition and original packaging, or is damaged or missing parts for reasons not due to Amazon or seller error. See details here.

Return instructions

Item must be in original condition and packaging along with tag, accessories, manuals, and inserts. Unlock any electronic device, delete your account and remove all personal information.
Read full return policy
Payment
Secure transaction
Your transaction is secure
We work hard to protect your security and privacy. Our payment security system encrypts your information during transmission. We don’t share your credit card details with third-party sellers, and we don’t sell your information to others. Learn more
Payment
Secure transaction
We work hard to protect your security and privacy. Our payment security system encrypts your information during transmission. We don’t share your credit card details with third-party sellers, and we don’t sell your information to others. Learn more
$9.72
Get Fast, Free Shipping with Amazon Prime FREE Returns
Reading copy. May have signs of wear and previous use (scuffs, library copy, highlighting, writing, and underlining). Dust jacket may be missing. 100% GUARANTEE! Shipped with delivery confirmation. If you're not satisfied with purchase please return item for full refund. Reading copy. May have signs of wear and previous use (scuffs, library copy, highlighting, writing, and underlining). Dust jacket may be missing. 100% GUARANTEE! Shipped with delivery confirmation. If you're not satisfied with purchase please return item for full refund. See less
FREE delivery Wednesday, July 3 on orders shipped by Amazon over $35
Only 1 left in stock - order soon.
$$15.95 () Includes selected options. Includes initial monthly payment and selected options. Details
Price
Subtotal
$$15.95
Subtotal
Initial payment breakdown
Shipping cost, delivery date, and order total (including tax) shown at checkout.
Access codes and supplements are not guaranteed with used items.
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

100 Great Problems of Elementary Mathematics (Dover Books on Mathematics) Paperback – June 1, 1965

4.6 4.6 out of 5 stars 48 ratings

{"desktop_buybox_group_1":[{"displayPrice":"$15.95","priceAmount":15.95,"currencySymbol":"$","integerValue":"15","decimalSeparator":".","fractionalValue":"95","symbolPosition":"left","hasSpace":false,"showFractionalPartIfEmpty":true,"offerListingId":"Pmyu8OomzMDmd2KltRyu%2B5noaPx5AUKCcC1b7ATTfY4TSEA1UzeMQM%2FEPFZRhwBANW%2BOter37zRhBhFpI8HEm8qZIVIvh9%2FlL2z%2BjtmvycNJdBOBhabzXXFnNF2IIbEiw8U7qemy3zg%3D","locale":"en-US","buyingOptionType":"NEW","aapiBuyingOptionIndex":0}, {"displayPrice":"$9.72","priceAmount":9.72,"currencySymbol":"$","integerValue":"9","decimalSeparator":".","fractionalValue":"72","symbolPosition":"left","hasSpace":false,"showFractionalPartIfEmpty":true,"offerListingId":"Pmyu8OomzMDmd2KltRyu%2B5noaPx5AUKCSjw%2By%2FsHNyHdP1%2BBzaC%2BsxxSatDasHR143205VyNrQFMPKmsP96Kj4FOHVEUpD1jLy5M%2BB3YUxHrvo%2Fibs01%2F6D6gPhdCMBGPLduYgMWiT9PBiwOSqU8zispKeljGRTjvLjD2BnbNRY4OrI2k3IVjexq5224v4Sq","locale":"en-US","buyingOptionType":"USED","aapiBuyingOptionIndex":1}]}

Purchase options and add-ons

"The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive." — Mathematical Gazette
This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history — Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others — but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book.
The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal.
Some of the most celebrated and intriguing items are: Archimedes' "Problema Bovinum," Euler's problem of polygon division, Omar Khayyam's binomial expansion, the Euler number, Newton's exponential series, the sine and cosine series, Mercator's logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes' determination of pi, Pascal's hexagon theorem, Desargues' involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert's comet problem, and Steiner's ellipse, circle, and sphere problems.
This translation, prepared especially for Dover by David Antin, brings Dörrie's "Triumph der Mathematik" to the English-language audience for the first time.

The Amazon Book Review
The Amazon Book Review
Book recommendations, author interviews, editors' picks, and more. Read it now

Frequently bought together

$15.95
Get it as soon as Monday, Jul 1
Only 15 left in stock (more on the way).
Ships from and sold by Amazon.com.
+
$11.49
Get it as soon as Monday, Jul 1
Only 12 left in stock - order soon.
Ships from and sold by Amazon.com.
+
$12.39
Get it as soon as Tuesday, Jul 2
Only 20 left in stock (more on the way).
Ships from and sold by Amazon.com.
Total price:
To see our price, add these items to your cart.
Details
Added to Cart
spCSRF_Control
Some of these items ship sooner than the others.
Choose items to buy together.

Product details

  • Publisher ‏ : ‎ Dover Publications (June 1, 1965)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 416 pages
  • ISBN-10 ‏ : ‎ 0486613488
  • ISBN-13 ‏ : ‎ 978-0486613482
  • Item Weight ‏ : ‎ 15.1 ounces
  • Dimensions ‏ : ‎ 5.44 x 0.78 x 8.5 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 48 ratings

Customer reviews

4.6 out of 5 stars
4.6 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
48 global ratings
Imperfect but well worthwhile: 100 Great Problems of Elementary Mathematics
4 Stars
Imperfect but well worthwhile: 100 Great Problems of Elementary Mathematics
“100 Great Problems of Elementary Mathematics” is translated from “Triumph der Mathematik,” originally published in German. The title describes the book well enough. Its articles describe not only the mathematics behind the solution of each well-known problem, but also the identities of the innovators and the time frame in which each labored.Although no fault of the author or the translator, I do think that some of the notation and also the labeling in its diagrams should be more “au courant:” Some of its diagrams actually use Roman numerals! One annoying thing I found was that in three related sections — 68. (Euler’s Tetrahedron Problem), 69. (The Shortest Distance Between Skew Lines), and 70. (The Sphere Circumscribing a Tetrahedron) — the translator seemed not to know the difference between “area” and “volume.” I also found typos elsewhere in the book. (In other settings a typo might not be serious; in a mathematics book, well …)Despite these slight deficiencies, I consider the book quite worthwhile. In fact, I have worn out five copies in my decades-long acquaintance with it.
Thank you for your feedback
Sorry, there was an error
Sorry we couldn't load the review

Top reviews from the United States

Reviewed in the United States on April 18, 2010
squeezing 100 problems into less than 400 pages is not an easy task. There seems to be consistent tradeoff for brevity at the expense of readability. But if you are fairly experienced in elementary mathematics, most of the stuff can be followed. The degree of difficulty in following problems covered in this book varies greatly. Some can be appreciated by people with middle/high school math backgrounds. Others are very challenging to me (4th undergrad in engineering with good math background relative to undergrad math students). The big advantage of this book is that it deals with widely applicable, and historically significant, and applied math problems. This is in contrast to the bulk of math problem books out there that just deal with recreational problems (puzzle for example. but math olympic problems are recreational too, since the best high school students have to be able to solve them in around an hour). Look at the table of content and you will see. Highly stimulating.
4 people found this helpful
Report
Reviewed in the United States on November 18, 2013
Wonderful book for anyone who is A) a genius, B) truly loves mathematics and C) doesn't mind discovering that there are things that can be done with algebra that they never dreamed of! :)
The rest has already been well said by the other reviewers.
I will mention there is another book with a very similar title by Hugo Steinhaus (with an intro by Martin Gardener). "One Hundred Problems in Elementary Mathematics". The two books are NOT the same. If you enjoy Dorrie's book, you should check out Steinhaus' book as well. Similar subject matter, but the problems aren't the same 100 problems. Although some are duplicated, most are different, and some of the duplicates are done with a different approach.
3 people found this helpful
Report
Reviewed in the United States on September 20, 2017
Fine.
Reviewed in the United States on October 28, 2015
“100 Great Problems of Elementary Mathematics” is translated from “Triumph der Mathematik,” originally published in German. The title describes the book well enough. Its articles describe not only the mathematics behind the solution of each well-known problem, but also the identities of the innovators and the time frame in which each labored.

Although no fault of the author or the translator, I do think that some of the notation and also the labeling in its diagrams should be more “au courant:” Some of its diagrams actually use Roman numerals! One annoying thing I found was that in three related sections — 68. (Euler’s Tetrahedron Problem), 69. (The Shortest Distance Between Skew Lines), and 70. (The Sphere Circumscribing a Tetrahedron) — the translator seemed not to know the difference between “area” and “volume.” I also found typos elsewhere in the book. (In other settings a typo might not be serious; in a mathematics book, well …)

Despite these slight deficiencies, I consider the book quite worthwhile. In fact, I have worn out five copies in my decades-long acquaintance with it.
Customer image
4.0 out of 5 stars Imperfect but well worthwhile: 100 Great Problems of Elementary Mathematics
Reviewed in the United States on October 28, 2015
“100 Great Problems of Elementary Mathematics” is translated from “Triumph der Mathematik,” originally published in German. The title describes the book well enough. Its articles describe not only the mathematics behind the solution of each well-known problem, but also the identities of the innovators and the time frame in which each labored.

Although no fault of the author or the translator, I do think that some of the notation and also the labeling in its diagrams should be more “au courant:” Some of its diagrams actually use Roman numerals! One annoying thing I found was that in three related sections — 68. (Euler’s Tetrahedron Problem), 69. (The Shortest Distance Between Skew Lines), and 70. (The Sphere Circumscribing a Tetrahedron) — the translator seemed not to know the difference between “area” and “volume.” I also found typos elsewhere in the book. (In other settings a typo might not be serious; in a mathematics book, well …)

Despite these slight deficiencies, I consider the book quite worthwhile. In fact, I have worn out five copies in my decades-long acquaintance with it.
Images in this review
Customer image
Customer image
5 people found this helpful
Report
Reviewed in the United States on November 3, 2016
Good !
Reviewed in the United States on November 3, 2014
GOOD THOUGHT PROVOKING BOOKJ.
One person found this helpful
Report
Reviewed in the United States on June 9, 2008
I love this book, and recommend it very highly, if you're the type who would like to understand, say, why the Fundamental Theorem of Algebra (every polynomial equation as a (possibly complex) root, is true. Yes, it takes intellectual effort to follow the proofs, but that can be incredibly rewarding, once you finally understand.

But this review is mostly to clarify the term "Elementary" in the title. This is used in a technical sense. Many (most?) of the theorems have multiple proofs. And sometimes the clearest proofs involve calculus, and often the calculus of complex variables. But if a proof doesn't involve calculus, then mathematicians refer to these as "elementary". It is in this sense that the title uses the term.
6 people found this helpful
Report
Reviewed in the United States on August 17, 2001
Perhaps the stress given to geometry gives evidence to the age of the book, but it still represents an example of how a collection of problems should be written. It is too entangled with mathematics to be defined an issue about mathematical games, but also fans of games can find out some enjoying items. Because, if much room has been given to proofs and resolutions, the boundary of elementary curiosity never goes out of sight, even if it can sometimes look like a far horizon. It is surely the best book about elementary problems, mathematical games and jokes I have ever read till now, and I have found its language as clear and straight as a non-English reader (like me) usually finds a non-English writer.
9 people found this helpful
Report

Top reviews from other countries

Translate all reviews to English
J ANTONIO
5.0 out of 5 stars Contenido
Reviewed in Spain on June 5, 2023
Consulta y referencia
Cliente Amazon
5.0 out of 5 stars e' bellissimo
Reviewed in Italy on December 3, 2018
lo ripeto e' bellissimo
Lecteur
2.0 out of 5 stars Présentation confuse
Reviewed in France on October 21, 2016
La présentation est confuse.
Il n'y a pas de structuration. Le livre est un peu brouillon.
Dommage car le sujet est intéressant et le livre aurait peu être bon.
Dongxu Li
5.0 out of 5 stars Elementary but not with depth in math
Reviewed in Canada on May 15, 2015
The one hundred problems cover number theory, analysis, analytical, projection geometry etc.The solutions are usually illustrative and requires little background to be understood.

when ordering this book, I initially wanted to read some topics on conic curves, but I got more interesting subjects now.

I hope the author would have added more figures to it, as the average number of figures per problem is probably less than one.
A Customer
5.0 out of 5 stars seductively brilliant arguments
Reviewed in the United Kingdom on September 21, 2014
Absolutely brilliant book to dip into and to see recited some of the most seductively brilliant arguments from some of the most brilliant minds in history.