Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today's would-be problem solvers. Among them: . Selected Problems and Theorems in Elementary Mathematics. Read more Underwriting one hundred one great problems of elementary mathematics. DOWNLOAD PDF Selected Problems and Theorems in Elementary Mathematics · Read more great problems of elementary mathematics. Read more.
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Great Problems of Elementary Mathematics. THEIR HISTORY AND SOLUTION. BY HEINRICH DORRIE. TRANSLATED BY DAVID ANTIN. NEW YORK. Great Problems of Elementary Mathematics THEIR HISTORY AND SOLUTION Heinrich Dorrie Translated by David Antin Great Problems of Elementary. Buy Great Problems of Elementary Mathematics (Dover Books on Mathematics) on mmoonneeyy.info ✓ FREE SHIPPING on qualified orders.
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. Selected Problems and Theorems in Elementary Mathematics Be the first to ask a question about Great Problems of Elementary Mathematics. Product details Series: Abraham Alaka rated it it was amazing Jun 18,
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Kindle Edition Verified Purchase. 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.
In fact, I have worn out five copies in my decades-long acquaintance with it. Paperback Verified Purchase.
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. 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 problems. Although some are duplicated, most are different, and some of the duplicates are done with a different approach.
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. 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. Look at the table of content and you will see. Highly stimulating.
One person found this helpful. Ten dollars is practically a steal. This publication, which was translated into English back in , is a concise summary of some of the greatest works of mathematics throughout mankind's history. The problems contained are quite challenging.
Many are such that if you understood any one of them, then you would probably know something that even the best math professor nearest you would not. This may sound like an overstatement, but in a day and age where some PhD's in math have either forgotten or never really learned how to determine so little as the square root of a number by just pencil and paper, it is probably not.
It is from analyzing the book's passages of Bernoulli's Power Sum Problem that I was able to achieve a great mathematical triumph after discovering the following challenge found in William Dunham's The Mathematical Universe: I tried to develop algorithms that would work but failed each time, until I, once again, read this volume. The situations presented are quite difficult to grasp, but once you get to where you know how to apply any one of them in solving mathematical puzzles, you feel elated.
I know I did. 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.
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George Lenchner. Math with Bad Drawings: 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.
Reprint of Triumph der Mathematik , fifth edition. General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic. Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis.
The Man-Made Universe. Playing with Infinity. The Red Book of Mathematical Problems. A Survey of Industrial Mathematics.