Math 100 Ideas in 100 Words

Math 100 Ideas in 100 Words

by DK
Released March 2024
Publisher(s): DK Publishing
ISBN: 9780744088205

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Book description

Satisfy your scientific curiosity and learn about math's big ideas in a small number of words. Get facts at your fingertips with the beautifully illustrated 100 Ideas in 100 Words.

One of the first in a series, this book introduces essential areas of math such as geometry, algebra, probability, and pure math, and explains the 100 key ideas of each topic in just 100 words! Perfect for learning and understanding big ideas clearly and quickly, these books are made in partnership with the Science Museum and cover the most up-to-date terms and theories.

Table of contents

  1. Cover
  2. Half-title
  3. How to use this eBook
  4. Contents
  5. Introduction
  6. Number
    1. 1: Integers and counting
    2. 2: Rational and real numbers
    3. 3: The real number line
    4. 4: Zero
    5. 5: Basic operations
    6. 6: Prime numbers
    7. 7: The twin prime conjecture
    8. 8: Goldbach’s conjecture
    9. 9: Square root of 2
    10. 10: Logarithms and e
    11. 11: Pi (π)
    12. 12: The golden ratio
    13. 13: Integer sequences
    14. 14: Infinity
    15. 15: Limits
    16. 16: Number bases
    17. 17: Fermat’s last theorem
    18. 18: Modular arithmetic
    19. 19: Imaginary numbers
    20. 20: The complex plane
    21. 21: Quaternions
    22. 22: Approximation
    23. 23: Percentages
    24. 24: Combinatorics
    25. 25: Units of measurement
  7. Algebra
    1. 26: Algebra
    2. 27: Equations and inequalities
    3. 28: Polynomials
    4. 29: Taylor series
    5. 30: Simultaneous equations
    6. 31: Functions
    7. 32: The Riemann hypothesis
    8. 33: Calculus
    9. 34: Differentiation
    10. 35: Integration
    11. 36: Differential equations
    12. 37: Matrices
    13. 38: Permutations
    14. 39: Coordinate systems
    15. 40: Euler’s formula and identity
    16. 41: Fourier series
    17. 42: Group theory
    18. 43: The identity element
  8. Geometry
    1. 44: Polygons
    2. 45: Polyhedra
    3. 46: Tilings and tessellations
    4. 47: Duality
    5. 48: Symmetry
    6. 49: Topology
    7. 50: Möbius bands and Klein bottles
    8. 51: Trigonometry
    9. 52: Radians
    10. 53: Pythagoras’ theorem
    11. 54: Euclid’s Elements
    12. 55: Construction
    13. 56: Conic sections
    14. 57: Circle
    15. 58: Hyperbolics
    16. 59: Distance metrics
    17. 60: Gaussian curvature
    18. 61: Vectors
  9. Applied Maths
    1. 62: Modelling
    2. 63: Mechanics
    3. 64: Monte Carlo simulation
    4. 65: Discrete maths
    5. 66: Cryptography
    6. 67: Algorithms
    7. 68: Complexity and sorting
    8. 69: P vs NP
    9. 70: Graph theory
    10. 71: Four colour theorem
    11. 72: Traversability
    12. 73: Linear programming
    13. 74: Dynamical systems
    14. 75: The logistic map
    15. 76: Chaos
    16. 77: Fractals
  10. Probability and Statistics
    1. 78: Probability
    2. 79: Statistics
    3. 80: Statistical diagrams
    4. 81: Bayes’ theorem
    5. 82: Sampling
    6. 83: Correlation
    7. 84: Normal distribution
    8. 85: Binomial distribution
    9. 86: Markov chains
    10. 87: Significance
    11. 88: Game theory
    12. 89: Combinatorial games
    13. 90: Zero-player games
  11. Logic and Proof
    1. 91: Proof
    2. 92: Boolean logic
    3. 93: Propositional logic
    4. 94: Venn diagrams
    5. 95: Logical paradoxes
    6. 96: Category theory
    7. 97: Set theory
    8. 98: Axioms
    9. 99: Gödel’s incompleteness theorem
    10. 100: Millennium Prize Problems
  12. Glossary
  13. About the authors
  14. Copyright

Product information

  • Title: Math 100 Ideas in 100 Words
  • Author(s): DK
  • Release date: March 2024
  • Publisher(s): DK Publishing
  • ISBN: 9780744088205