The Enjoyment of Math
Rademacher, Hans,
The Enjoyment of Math Hans Rademacher, Otto Toeplitz, Alex Kontorovich. - 1 online resource (216 p.) 123 b/w illus.. - Princeton Science Library 131 .
Frontmatter -- CONTENTS -- Foreword Preface -- Introduction -- 1. The Sequence of Prime Numbers -- 2. Traversing Nets of Curves -- 3. Some Maximum Problems -- 4. Incommensurable Segments and Irrational Numbers -- 5. A Minimum Property of the Pedal Triangle -- 6. A Second Proof of the Same Minimum Property -- 7. The Theory of Sets -- 8. Some Combinatorial Problems -- 9. On Waring's Problem -- 10. On Closed Self-Intersecting Curves -- 11. Is the Factorization of a Number into Prime Factors Unique? -- 12. The Four-Color Problem -- 13. The Regular Polyhedrons -- 14. Pythagorean Numbers and Fermat's Theorem -- 15. The Theorem of the Arithmetic and Geometric Means -- 16. The Spanning Circle of a Finite Set of Points -- 17. Approximating Irrational Numbers by Means of Rational Numbers -- 18. Producing Rectilinear Motion by Means of Linkages -- 19. Perfect Numbers -- 20. Euler's Proof of the Infinitude of the Prime Numbers -- 21. Fundamental Principles of Maximum Problems -- 22. The Figure of Greatest Area with a Given Perimeter -- 23. Periodic Decimal Fractions -- 24. A Characteristic Property of the Circle -- 25. Curves of Constant Breadth -- 26. The Indispensability of the Compass for the Constructions of Elementary Geometry -- 27. A Property of the Number 30 -- 28. An Improved Inequality -- Notes and Remarks / Alex Kontorovich --
restricted access http://purl.org/coar/access_right/c_16ec
Mode of access: Internet via World Wide Web.
In English.
9780691241531
10.1515/9780691241531 doi
MATHEMATICS / General.
MATHEMATICS / History & Philosophy.
Theorem Natural number Prime number Summation Divisor Prime factor Parity (mathematics) Mathematics Coprime integers Rhomboid Perfect number Circumference Remainder Factorization Fourth power Rectangle Pedal triangle Polyhedron Regular polyhedron Diameter Parallelogram Equilateral triangle Pythagorean theorem Line segment Right triangle Sign (mathematics) Geometry Special case Arbitrarily large Fermat's Last Theorem Rational number Prime number theorem Straightedge Big O notation Transfinite number Irrational number Right angle Scientific notation Hypotenuse Bonse's inequality Prime power Non-Euclidean geometry Metric space Coefficient Waring's problem Integer factorization Pure mathematics Rhombus Factorial Euler's theorem Intersection (set theory) Combination Complete theory Reuleaux triangle Geometric series Fractional part Binomial theorem Number theory Computation Euler's formula Variable (mathematics) Power of 10 Fermat's theorem Exterior (topology) Regular polygon Logarithm Long division Mathematical induction Arithmetic Geometric mean
The Enjoyment of Math Hans Rademacher, Otto Toeplitz, Alex Kontorovich. - 1 online resource (216 p.) 123 b/w illus.. - Princeton Science Library 131 .
Frontmatter -- CONTENTS -- Foreword Preface -- Introduction -- 1. The Sequence of Prime Numbers -- 2. Traversing Nets of Curves -- 3. Some Maximum Problems -- 4. Incommensurable Segments and Irrational Numbers -- 5. A Minimum Property of the Pedal Triangle -- 6. A Second Proof of the Same Minimum Property -- 7. The Theory of Sets -- 8. Some Combinatorial Problems -- 9. On Waring's Problem -- 10. On Closed Self-Intersecting Curves -- 11. Is the Factorization of a Number into Prime Factors Unique? -- 12. The Four-Color Problem -- 13. The Regular Polyhedrons -- 14. Pythagorean Numbers and Fermat's Theorem -- 15. The Theorem of the Arithmetic and Geometric Means -- 16. The Spanning Circle of a Finite Set of Points -- 17. Approximating Irrational Numbers by Means of Rational Numbers -- 18. Producing Rectilinear Motion by Means of Linkages -- 19. Perfect Numbers -- 20. Euler's Proof of the Infinitude of the Prime Numbers -- 21. Fundamental Principles of Maximum Problems -- 22. The Figure of Greatest Area with a Given Perimeter -- 23. Periodic Decimal Fractions -- 24. A Characteristic Property of the Circle -- 25. Curves of Constant Breadth -- 26. The Indispensability of the Compass for the Constructions of Elementary Geometry -- 27. A Property of the Number 30 -- 28. An Improved Inequality -- Notes and Remarks / Alex Kontorovich --
restricted access http://purl.org/coar/access_right/c_16ec
Mode of access: Internet via World Wide Web.
In English.
9780691241531
10.1515/9780691241531 doi
MATHEMATICS / General.
MATHEMATICS / History & Philosophy.
Theorem Natural number Prime number Summation Divisor Prime factor Parity (mathematics) Mathematics Coprime integers Rhomboid Perfect number Circumference Remainder Factorization Fourth power Rectangle Pedal triangle Polyhedron Regular polyhedron Diameter Parallelogram Equilateral triangle Pythagorean theorem Line segment Right triangle Sign (mathematics) Geometry Special case Arbitrarily large Fermat's Last Theorem Rational number Prime number theorem Straightedge Big O notation Transfinite number Irrational number Right angle Scientific notation Hypotenuse Bonse's inequality Prime power Non-Euclidean geometry Metric space Coefficient Waring's problem Integer factorization Pure mathematics Rhombus Factorial Euler's theorem Intersection (set theory) Combination Complete theory Reuleaux triangle Geometric series Fractional part Binomial theorem Number theory Computation Euler's formula Variable (mathematics) Power of 10 Fermat's theorem Exterior (topology) Regular polygon Logarithm Long division Mathematical induction Arithmetic Geometric mean