Old and New Unsolved Problems in Plane Geometry and Number Theory, 11. sējumsCambridge University Press, 1991 - 333 lappuses Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems. |
Saturs
Illuminating a Polygon 311 7179 | 71 |
Pushing Disks Together 1620 8690 | 86 |
Forming Convex Polygons 2528 95102 | 95 |
Tiling the Plane 3644 111119 | 111 |
Squaring the Circle 5053 128131 | 128 |
Fixed Points 6670 145150 | 145 |
Number Theory | 167 |
The Riemann Hypothesis 182185 215220 | 182 |
| 234 | |
Summing Reciprocals of Powers 248250 261264 | 248 |
| 265 | |
TwoDimensional Geometry | 269 |
Number Theory | 300 |
Glossary | 315 |
| 331 | |
Diophantine Equations and Computers 195198 230233 | 195 |
Citi izdevumi - Skatīt visu
Old and New Unsolved Problems in Plane Geometry and Number Theory Victor Klee,Stan Wagon Ierobežota priekšskatīšana - 1991 |
Old and New Unsolved Problems in Plane Geometry and Number Theory Victor Klee,Stan Wagon Ierobežota priekšskatīšana - 2020 |
Bieži izmantoti vārdi un frāzes
algebraic algorithm angle answer approximable assume billiard bound boundary called circle closed colors complete computable congruent conjecture connecting consider consists constant construction contains continuous convex convex body cover curve defined denote determined digits direction discussion disk dissection distance edges equal equation equivalent example Exercise exists fact factoring Figure finite four fractions function Geometry given hence implies infinitely inscribed integers interesting interior intersection Jordan known least length less mapping Mathematical means multiple Note obtained origin pairs path perfect periodic plane points polygons polynomial positive positive integers possible prime Problem produce proof proved question rational region result segment sequence Show sides similar simple solutions square subset Suppose Theorem theory tiling translation triangle true turn unit unsolved vertices yields
Populāri fragmenti
238. lappuse - How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics.
236. lappuse - TT the ratio of the circumference of a circle to its diameter, and /3 the difference in phase angle.