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Mathematics 1001: absolutely everything that matters in mathematics, in 1001 bite-sized explanations
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Publisher
Firefly Books
Publication Date
Varies, see individual formats and editions
Language
English
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QA93.E49 2010 C. 2
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QA93.E49 2010 C. 2
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QA93.E49 2010
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QA93.E49 2010
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ISBN
9781770855007
9781554077199
9781554077199
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Table of Contents
From the Book - Regular Print
Introduction
NUMBERS
The basics
Arithmetic
Number systems
Rational numbers
Factors and multiples
Induction
Representation of numbers
Transcendental numbers
Ruler and compass
Constructions
Diophantine equations
Prime numbers
GEOMETRY
Euclidean geometry
Triangles
Circles
Polygons and polyhedra
Transformations
Tessellations
Curves and surfaces
Polar coordinates
Discrete geometry
Differential geometry
Topology
Knot theory
Non-Euclidean geometry
Algebraic topology
Algebraic geometry
Diophantine geometry
ALGEBRA
Letters for numbers
Equations
Vectors and matrices
Group theory
Abstract algebra
DISCRETE MATHEMATICS
Combinatorics
Graph theory
Ramsey theory
ANALYSIS
Sequences
Series
Continuity
Differential calculus
Integral calculus
Complex analysis
Power series
Exponentiation
Fractals
Dynamical systems
Differential equations
Fourier analysis
LOGIC
Basic logic
The science of deduction
Set theory
Hilbert's program
Complexity theory
Computability theory
Model theory
Uncertainty and paradoxes
METAMATHEMATICS
What mathematicians do
Mathematics and technology
Philosophies of mathematics
PROBABILITY & STATISTICS
Statistics
Probability
Probability distributions
Stochastic processes
Cryptography
MATHEMATICAL PHYSICS
Newtonian mechanics
Waves
Fields and flows
Special relativity
Gravity
Quantum mechanics
Quantum field theory
GAMES AND RECREATION
Game theory
Fibonacci
Puzzles and perplexities.
From the Book - Regular Print
Numbers. The basics ; Arithmetic ; Number systems ; Rational numbers ; Factors and multiples ; Induction ; Representation of numbers ; Transcendental numbers ; Ruler and compass ; Constructions ; Diophantine equations ; Prime numbers
Geometry. Euclidean geometry ; Triangles ; Circles ; Polygons and polyhedra ; Transformations ; Tessellations ; Curves and surfaces ; Polar coordinates ; Discrete geometry ; Differential geometry ; Topology ; Knot theory ; Non-Euclidean geometry ; Algebraic topology ; Algebraic geometry ; Diophantine geometry
Algebra. Letters for numbers ; Equations ; Vectors and matrices ; Group theory ; Abstract algebra
Discrete mathematics. Combinatorics ; Graph theory ; Ramsey theory
Analysis. Sequences ; Series ; Continuity ; Differential calculus ; Integral calculus ; Complex analysis ; Power series ; Exponentiation ; Fractals ; Dynamical systems ; Differential equations ; Fourier analysis
Logic. Basic logic ; The science of deduction ; Set theory ; Hilbert's program ; Complexity theory ; Computability theory ; Model theory ; Uncertainty and paradoxes
Metamathematics. What mathematicians do ; Mathematics and technology
Philosophies of mathematics
Probability & statistics. Statistics ; Probability ; Probability distributions ; Stochastic processes ; Cryptography
Mathematical physics. Newtonian mechanics ; Waves ; Fields and flows ; Special relativity ; Gravity ; Quantum mechanics ; Quantum field theory
Games and recreations. Game theory ; Fibonacci ; Puzzles and perplexities.
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