Math affinity puzzles /
Math Affinity Puzzles highlights the patterns and relationships that appear throughout mathematics. Rather than treating mathematics as a collection of separate topics or isolated courses, the puzzles here look beyond boundaries to discover links among different areas of knowledge. The book uses ana...
| Main Authors: | , , , |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
[2026]
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| Series: | AK Peters/CRC recreational mathematics series.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Part 1: Precalculus 1. Integers: Rational Numbers 2. Circle: Center and Radius 3. 3 ? ?7: 3 1?7 4. y = logb x: x = by 5. Even-Degree Polynomial: Horizontal Line Test 6. Nonorigin Point in the Plane: Polar Coordinates (r, ? ) with 0 ? ? < 2? 7. am: am?n 8. x = 0: log10 x 9. Degree of a Polynomial: Number of Real Roots 10. ex: ln x 11. Complex Numbers: Real Numbers 12. x2+1 : x = 1 13. y = arctan(x) + 3: y = arctan(x) 14. ?ab: ?a?b 15. Positive Integers: Prime Numbers and Composite Numbers 16. Polynomial Function: Asymptote 17. x2 = x: x = 1 18. Circle: Ellipse 19. (A ? B) ? (A ? C): A ? (B ? C) 20. log2 x: ln x 21. tan x: cot x 22. Function: Symmetric about the x-axis Part 2: Calculus 23. Rolle's Theorem: Mean Value Theorem 24. y = cos x: y ? 1 = ?3? 2 (x ? ? ) 25. Riemann Sum: Definite Integral 26. Critical Point: Local Extremum 27. limx?? sin x: sin x 28. Marginal Cost: Total Cost 29. limx?0 cos x: L'Hôpital's Rule 30. Differentiable : Continuous 31. Maclaurin Series : Taylor Series 32. Concave-Up Function : Minimum 33. Definite Integral : Area 34. Factorials : Polynomials 35. Addition : Arithmetic Sequence 36. 1: ln x 37. Velocity: Position 38. Taylor Polynomials: Smooth Function 39. Chain Rule: Integration by u-substitution 40. Improper Integral: Definite Integrals 41. Everywhere-Zero Derivative: Differentiable Function 42. f (xx) ?f (a): f ?(a) 43. ? 3 2 n: 3 44. Intermediate Value Theorem: x on the Interval [?2, 1] Part 3: Postcalculus 45. Dot Product: Orthogonal Vectors 46. ??2f 47. Gradient: Level Curve 48. ??2f ??2f ? ? ??2f 49. Three Distinct Points: Plane in R3 50. Gradient: Directional Derivative 51. Concavity: Euler's Method 52. Separation of Variables: Homogeneous Differential Equation 53. Switching Two Rows: Determinant 54. Matrix: Reduced Row Echelon Form 55. Eigenvalue: Eigenvector 56. Determinant: Rank 57. Matrix Multiplication: Square Matrices 58. Permutations: Determinant 59. Event: Sample Space 60. Successive, Independent Coin Flips: Probability of Heads 61. Cumulative Distribution Function: Probability Density Function 62. Geometric Distribution: Exponential Distribution 63. Eulerian Path: Graph 64. Tree: Cycle 65. Bipartite Graph: Three-Colorable 66. Planar Graph: K5 Subgraph.