Author | Driver, R. D. author |
---|---|
Title | Why Math? [electronic resource] / by R. D. Driver |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1984 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1108-2 |
Descript | XIV, 233 p. online resource |
1 Arithmetic Review -- 1.1 Basis Rules -- 1.2 Division, Fractions, and Exponents -- 1.3 Percentages -- 1.4 Rates -- 2 Prime Numbers and Fractions -- 2.1 Prime Numbers and Factorization -- 2.2 Greatest Common Factor -- 2.3 Rationals and Irrationals -- 3 The Pythagorean Theorem and Square Roots -- 3.1 The Theorem -- 3.2 Square Roots Which Are Irrational -- 3.3 Computation of Square Roots by Successive Approximation -- 4 Elementary Equations -- 4.1 Equations in One Unknown -- 4.2 The Use of Two or More Unknowns -- 4.3 Graphing -- 5 Quadratic Polynomials and Equations -- 5.1 Solution of Quadratic Equations -- 5.2 Applications of Quadratic Equations -- 5.3 Quadratic Polynomials -- 6 Powers and Geometric Sequences -- 6.1 Applications of Powers -- 6.2 More on Half-Lives -- 6.3 Compound Interest and Related Matters -- 6.4 IRAs and Similar Tax Sheltered Accounts -- 6.5 Geometric Seriesโthe โSumโ of a Geometric Sequence -- 7 Areas and Volumes -- 7.1 Areas -- 7.2 Volumes -- 7.3 Surface Area of a Solid (versus Volume) -- 7.4 Computation of Cube Roots -- 8 Galilean Relativity -- 8.1 Displacement and Velocity Vectors -- 8.2 Doppler Effect -- 8.3 Components of Vectors -- 9 Special Relativity -- 9.1 Simultaneity and Einsteinโs Postulate -- 9.2 Time Dilation -- 9.3 Length Contraction -- 10 Binary Arithmetic -- 10.1 Decimal, Binary, and Ternary Representation of Integers -- 10.2 Subtraction and Division in Base Two -- 10.3 Applications -- 11 Sets and Counting -- 11.1 Set Notation -- 11.2 Counting -- 12 Probability -- 12.1 Elementary Ideas and Examples -- 12.2 Mutually Exclusive Events -- 12.3 The Basic Rules -- 12.4 Quality Control (optional) -- 12.5 Expectation -- 12.6 Conditional Probability -- 13 Cardinality -- 13.1 Countable Sets -- 13.2 Countably Many Countable Sets -- 13.3 The Reals vs. the Rationals -- Answers to Odd-Numbered Problems