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050	0	0	_aQA95 _b.R313 2023
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100	1		_aRademacher, Hans
245	1	4	_aThe enjoyment of math _cby Hans Rademacher and Otto Toeplitz ; translated by Herbert Zuckerman ; with a new foreword by Alex Kontorovich.
260			_aPrinceton : _bPrinceton University Press, _c©2023
300			_aix, 205 p. : _bill. ; _c22 cm.
490	1		_aPrinceton science library ; _v131
505	0	0	_tFrontmatter _tCONTENTS _tForeword _tPreface _tIntroduction _t1. The Sequence of Prime Numbers _t2. Traversing Nets of Curves _t3. Some Maximum Problems _t4. Incommensurable Segments and Irrational Numbers _t5. A Minimum Property of the Pedal Triangle _t6. A Second Proof of the Same Minimum Property _t7. The Theory of Sets _t8. Some Combinatorial Problems _t9. On Waring's Problem _t10. On Closed Self-Intersecting Curves _t11. Is the Factorization of a Number into Prime Factors Unique? _t12. The Four-Color Problem _t13. The Regular Polyhedrons _t14. Pythagorean Numbers and Fermat's Theorem _t15. The Theorem of the Arithmetic and Geometric Means _t16. The Spanning Circle of a Finite Set of Points _t17. Approximating Irrational Numbers by Means of Rational Numbers _t18. Producing Rectilinear Motion by Means of Linkages _t19. Perfect Numbers _t20. Euler's Proof of the Infinitude of the Prime Numbers _t21. Fundamental Principles of Maximum Problems _t22. The Figure of Greatest Area with a Given Perimeter _t23. Periodic Decimal Fractions _t24. A Characteristic Property of the Circle _t25. Curves of Constant Breadth _t26. The Indispensability of the Compass for the Constructions of Elementary Geometry _t27. A Property of the Number 30 _t28. An Improved Inequality _tNotes and Remarks
520			_aThe classic book that shares the enjoyment of mathematics with readers of all skill levelsWhat is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler's proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.
650		0	_aMathematics _vPopular works.
650		7	_aMathematics. _2fast
655		7	_aPopular works. _2fast
700	1		_aToeplitz, Otto
700	1		_aKontorovich, Alex
776	0	8	_iebook version : _z9780691241531
830		0	_aPrinceton science library ; _v131.
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999			_c172010 _d172010