Bibliograph

Mathematics 1001, absolutely everything that matters in mathematics in 1001 bite-sized explanations, Richard Elwes

Type

Label

Mathematics 1001, absolutely everything that matters in mathematics in 1001 bite-sized explanations, Richard Elwes

Language

eng

Illustrations

portraitsillustrations

Index

index present

Literary Form

non fiction

Main title

Mathematics 1001

Oclc number

502633330

Responsibility statement

Richard Elwes

Sub title

absolutely everything that matters in mathematics in 1001 bite-sized explanations

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

Table Of Contents

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

Classification

Creator