Famous Problems of Geometry and How to Solve Them


Benjamin Bold [6 years ago]

Famous Problems of Geometry and How to Solve Them Book CoverFaça o download ou leia online Famous Problems of Geometry and How to Solve Them - Benjamin Bold livro grátis (PDF, ePub, Mobi), It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history's great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be "solved."
The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book.
Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of eπi = -1, "one of the most amazing formulas in all of mathematics." These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs.

Are you looking for Ebook Famous Problems of Geometry and How to Solve Them? You will be glad to know that right now a Famous Problems of Geometry and How to Solve Them PDF is available on our online library. With our online resources, you can find Famous Problems of Geometry and How to Solve Them or just about any type of ebooks, for any type of product. Read Online Famous Problems of Geometry and How to Solve Them eBook here.

We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with eBook Famous Problems of Geometry and How to Solve Them. To get started finding Famous Problems of Geometry and How to Solve Them, you are right to find our website which has a comprehensive collection of ebook listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented. You will also see that there are specific sites catered to different product types or categories, brands or niches related with Famous Problems of Geometry and How to Solve Them eBook PDF. So depending on what exactly you are searching, you will be able to choose ebooks to suit your own needs.

FAMOUS PROBLEMS OF GEOMETRY AND HOW TO SOLVE THEM

Not rated yet