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Mathematics 1001 : absolutely everything that matters in mathematics in 1001 bite-sized explanations
- Author / Creator
- Available as
- Physical
- Summary
-
Provides a practical reference to all aspects of mathematics, using clear explanations of such key mathematical concepts as analysis, logic, metamathematics, and mathematical physics.
Details
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- Creator
- Richard Elwes
- Format
- Books
- Language
- English
- Publication
-
- Richmond Hill, Ont. : Firefly Books, 2010
- Physical Details
-
- 415 pages : illustrations ; 26 cm
- ISBNs
- 9781554077199, 1554077192
- OCLC
- ocn502633330
- Includes index.
- 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