Algebra Handbook

Algebra Handbook is an offline guide to school algebra and the beginnings of calculus: 159 articles in 16 topics, each with the key formula, a clear explanation, worked examples and the mistakes to avoid. EVERY TOPIC IN ONE PLACE Numbers and calculations, powers, polynomials, algebraic fractions, roots, linear equations and systems, quadratic equations, other equations and systems, inequalities, functions and graphs, sequences and progressions, exponents and logarithms, trigonometry, derivatives, antiderivatives and integrals, combinatorics and probability. SEE WHY IT IS TRUE 119 rules and theorems come with a proof or a derivation, from the quadratic formula to the derivative of sine. 17 visual proofs show the idea in pictures, step by step: the square of a sum, completing the square, the sum 1 + 2 + … + n, the unit circle and more. GRAPHS THAT MOVE 39 live graphs: move the sliders and watch the parabola shift, the sine wave stretch, the exponential grow and the tangent line slide along the curve. A SOLVER THAT SHOWS ITS WORK 20 step-by-step solvers take your own numbers: linear, quadratic and biquadratic equations, systems, inequalities, absolute values, progressions, gcd and lcm, fractions, roots, logarithms, exponential and trigonometric equations, the vertex of a parabola, function analysis, the tangent line, integrals and combinatorics. Check your homework and see exactly where a mistake happened. PRACTICE WITHOUT END 16 practice topics generate new problems every time, with instant feedback, an explanation after each answer, stars and a count of solved problems. LEARN FROM EXAMPLES AND MISTAKES 318 fully worked examples and 555 typical mistakes that cost marks. "When it applies" shows exactly where a rule stops working. REVISION TOOLS A cheat sheet of formulas without the explanations, 20 reference tables (squares and cubes, primes, divisibility rules, trigonometric values, reduction formulas, derivatives, antiderivatives and more), a table of notation and a step-by-step guide to solving problems. FIND IT FAST Search by rule, formula or keyword, filter by topic or by favorites. SEVEN LANGUAGES English, Spanish, Arabic, French, Hindi, Thai and Russian. Formulas follow each language's school notation, for example tan x or tg x, and the decimal point or comma. No account, no ads, no in-app purchases, no internet needed. Your language, theme, favorites and practice results stay on your device. Written as a study aid and a quick reference following standard school treatments of algebra. Corrections are welcome at the support address.