The Enjoyment of Math / / Hans Rademacher, Otto Toeplitz.
The 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, intro...
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Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2023] ©2023 |
Year of Publication: | 2023 |
Language: | English |
Series: | Princeton Science Library ;
131 |
Online Access: | |
Physical Description: | 1 online resource (216 p.) :; 123 b/w illus. |
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LEADER | 07848nam a22016095i 4500 | ||
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001 | 9780691241531 | ||
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024 | 7 | |a 10.1515/9780691241531 |2 doi | |
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100 | 1 | |a Rademacher, Hans, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 4 | |a The Enjoyment of Math / |c Hans Rademacher, Otto Toeplitz. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2023] | |
264 | 4 | |c ©2023 | |
300 | |a 1 online resource (216 p.) : |b 123 b/w illus. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Princeton Science Library ; |v 131 | |
505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t Foreword -- |t Preface -- |t Introduction -- |t 1. The Sequence of Prime Numbers -- |t 2. Traversing Nets of Curves -- |t 3. Some Maximum Problems -- |t 4. Incommensurable Segments and Irrational Numbers -- |t 5. A Minimum Property of the Pedal Triangle -- |t 6. A Second Proof of the Same Minimum Property -- |t 7. The Theory of Sets -- |t 8. Some Combinatorial Problems -- |t 9. On Waring's Problem -- |t 10. On Closed Self-Intersecting Curves -- |t 11. Is the Factorization of a Number into Prime Factors Unique? -- |t 12. The Four-Color Problem -- |t 13. The Regular Polyhedrons -- |t 14. Pythagorean Numbers and Fermat's Theorem -- |t 15. The Theorem of the Arithmetic and Geometric Means -- |t 16. The Spanning Circle of a Finite Set of Points -- |t 17. Approximating Irrational Numbers by Means of Rational Numbers -- |t 18. Producing Rectilinear Motion by Means of Linkages -- |t 19. Perfect Numbers -- |t 20. Euler's Proof of the Infinitude of the Prime Numbers -- |t 21. Fundamental Principles of Maximum Problems -- |t 22. The Figure of Greatest Area with a Given Perimeter -- |t 23. Periodic Decimal Fractions -- |t 24. A Characteristic Property of the Circle -- |t 25. Curves of Constant Breadth -- |t 26. The Indispensability of the Compass for the Constructions of Elementary Geometry -- |t 27. A Property of the Number 30 -- |t 28. An Improved Inequality -- |t Notes and Remarks |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a The 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. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) | |
650 | 0 | |a Mathematics |v Popular works. | |
650 | 7 | |a MATHEMATICS / History & Philosophy. |2 bisacsh | |
653 | |a Arbitrarily large. | ||
653 | |a Arithmetic. | ||
653 | |a Big O notation. | ||
653 | |a Binomial theorem. | ||
653 | |a Bonse's inequality. | ||
653 | |a Circumference. | ||
653 | |a Coefficient. | ||
653 | |a Combination. | ||
653 | |a Complete theory. | ||
653 | |a Computation. | ||
653 | |a Coprime integers. | ||
653 | |a Diameter. | ||
653 | |a Divisor. | ||
653 | |a Equilateral triangle. | ||
653 | |a Euler's formula. | ||
653 | |a Euler's theorem. | ||
653 | |a Exterior (topology). | ||
653 | |a Factorial. | ||
653 | |a Factorization. | ||
653 | |a Fermat's Last Theorem. | ||
653 | |a Fermat's theorem. | ||
653 | |a Fourth power. | ||
653 | |a Fractional part. | ||
653 | |a Geometric mean. | ||
653 | |a Geometric series. | ||
653 | |a Geometry. | ||
653 | |a Hypotenuse. | ||
653 | |a Integer factorization. | ||
653 | |a Intersection (set theory). | ||
653 | |a Irrational number. | ||
653 | |a Line segment. | ||
653 | |a Logarithm. | ||
653 | |a Long division. | ||
653 | |a Mathematical induction. | ||
653 | |a Mathematics. | ||
653 | |a Metric space. | ||
653 | |a Natural number. | ||
653 | |a Non-Euclidean geometry. | ||
653 | |a Number theory. | ||
653 | |a Parallelogram. | ||
653 | |a Parity (mathematics). | ||
653 | |a Pedal triangle. | ||
653 | |a Perfect number. | ||
653 | |a Polyhedron. | ||
653 | |a Power of 10. | ||
653 | |a Prime factor. | ||
653 | |a Prime number theorem. | ||
653 | |a Prime number. | ||
653 | |a Prime power. | ||
653 | |a Pure mathematics. | ||
653 | |a Pythagorean theorem. | ||
653 | |a Rational number. | ||
653 | |a Rectangle. | ||
653 | |a Regular polygon. | ||
653 | |a Regular polyhedron. | ||
653 | |a Remainder. | ||
653 | |a Reuleaux triangle. | ||
653 | |a Rhomboid. | ||
653 | |a Rhombus. | ||
653 | |a Right angle. | ||
653 | |a Right triangle. | ||
653 | |a Scientific notation. | ||
653 | |a Sign (mathematics). | ||
653 | |a Special case. | ||
653 | |a Straightedge. | ||
653 | |a Summation. | ||
653 | |a Theorem. | ||
653 | |a Transfinite number. | ||
653 | |a Variable (mathematics). | ||
653 | |a Waring's problem. | ||
700 | 1 | |a Kontorovich, Alex, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Toeplitz, Otto, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 English |z 9783111319292 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 English |z 9783111319209 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 |z 9783111318608 |o ZDB-23-DMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2023 |z 9783110749748 |
776 | 0 | |c print |z 9780691241548 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9780691241531?locatt=mode:legacy |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691241531 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691241531/original |
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912 | |a 978-3-11-131920-9 EBOOK PACKAGE Mathematics 2023 English |b 2023 | ||
912 | |a 978-3-11-131929-2 EBOOK PACKAGE COMPLETE 2023 English |b 2023 | ||
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