Best mathematical book that include all of the following:
Algebra and linear algebra: (Numbers, fractions, exponents, log, factoring, equations, matrices and determinants, etc...)
Trigonometry: (Trig. ratios; sin,cos,tan, csc,sec,cot, sine rule, cosine rule, Hero's formula, sum to product, half and double angles, etc...)
Calculus I: (Limits, ordinary differentiation, partial differentiation, implicit differentiation, directional derivatives, etc...)
Calculus II: (integration, tables of integration, IBP, trig sub, trig integrals, arc length, surface of revolution, volume of revolution, ets...)
Calculus III: (Vectors, double integral, triple integral, volume integral, optimisation, ...)
Statistics: (Probability, central tendency: mean, median, mode, variance, SD, counting, sum and product rules, permutation, combination, etc...)
Differential Equations: (Variable separable DE, homogeneous DE, growth and decay such as Newton's low of cooling/heating, variation of parameters, Wronskain, Rung-kuta method, Newton method, Euler method, Laplace transform, ets...)
Engineering mathematics: (Line integrals, Stoke's theorem, Green theorem, Contor integrals, ets...)
It is not necessary to have deep/details of all of the above, but it is necessary to have all of the categories (Algebra, Trigonometry, Calculus I,II,III, Statistics, Differential Equations, Engineering Mathematics) even with brief and basic ideas.
In other words, I want a comprehensive book even not detailed one.
Are there such books? Which one do you prefer? Is it hard copy or soft copy (eg. PDF file)? Is it cheap or expensive?
No matter if it is old, like 1980 or older, it is ok if it is handful.
AGAIN, the book should not be detailed, but at least contains all of the above briefly.
Any help/suggestion would be really appreciated. THANKS!