| Description |
415 p. : ill. ; 26 cm. |
| Note |
Includes index. |
| Contents |
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. |
| 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. |
| Subject |
Mathematics -- Popular works.
|
| ISBN |
9781554077199 : $24.95 |
|
1554077192 |
|
