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Maths 1001: Absolutely Everything That Matters in Mathematics
The ultimate smart reference to the world of mathematics - from quadratic equations and Pythagoras' Theorem to chaos theory and quantum computing. Maths 1001 provides clear and concise explanations of the most fascinating and fundamental mathematical concepts. Distilled into 1001 bite-sized mi...
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| Materyal Türü: | Printed Book |
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London
Quercus
2010
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İçindekiler:
- 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: Combinations; 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 and Statistics: Statistics; Probability; Probability Distributions; Stochastic Processes; Cryptography. Mathematical Physics: Newtonian Mathematics; Waves; Fields and Flows; Special Relativity; Gravity; Quantum Mechanics; Quantum Field Theory. Games and Recreation: Game Theory; Fibonacci; Puzzles and Perplexities. Index.