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Recommended Books  
If you find you want more help than you can find on mathmistakes.info or on other web sites, one source of more information is in good old fashioned books. (Sponsored) links to Amazon.com are provided for convenience. Many of the books listed here are very reasonably priced. The Schaum's Outline series of books, in particular, are nofrills, inexpensive and show lots of worked examples of typical problems. If you are thinking about ordering texts online, visit Order Textbooks for Math College Classes Online Jump to books on: Algebra  Precalculus  Trigonometry  Calculus A list of general interest mathematics books  A list of movies with mathematics content If you arrived here from a page of search results, you may find other parts of mathmistakes.info useful as well. Visit the mathmistakes.info Home Page or use the navigation bar above.  
For algebra:  
Schaum's Outline of Elementary Algebra (Paperback) by Barnett Rich and Philip Schmidt Over 2000 solved problems on elementary algebra topics: arithmetic, equations, numbers, polynomials, formulas, graphs, linear equations, problem solving, factoring, fractions, roots, quadratic equations, and the theorem of Pythagoras. Includes introductions to trigonometry and geometry and appendices on arithmetic review and using calculators.  
Schaum's Outline of Intermediate Algebra (Paperback) by Ray Steege and Kerry Bailey 885 solved problems on intermediate algebra topics: polynomials, rational expressions, first degree equations and inequalities, exponents, root, radicals, second degree equations and inequalities, systems of equations and inequalities, relations and functions, exponential and logarithmic functions, sequences, series and the binomial theorem. Includes an appendix on study skills.  
Schaum's Outline of College Algebra (Paperback) by Murray R. Spiegel and Robert E. Moyer 1940 solved problems on college algebra topics: fundamental operations, properties of numbers, factoring, fractions, exponents, radicals, complex numbers, equations, proportion, functions and graphs, linear equations, equations of lines, simultaneous linear equations, quadratic equations, conics, inequalities, polynomial functions, rational functions, sequences and series, logarithms and exponents, permutations and combinations, the binomial theorem, probability, determinants, matrices, mathematical induction and partial fractions. Includes an appendix with tables of logarithms.  
For precalculus (includes trigonometry):  
Schaum's Outline of Precalculus (Paperback) by Fred Safier 600 solved problems on precalculus topics: polynomials, exponents, rational and radical expressions, equations and inequalities, functions (linear, quadratic, polynomial, rational, algebraic, exponential, logarithmic, trigomometric), transformations and graphs, variation, trigonometry (angles, identities and equations, sum, difference, multiple and half angle formulas, inverse trigonometric functions, triangles), vectors, polar coordinates, parametric equations, complex numbers, systems of equations (Gaussian and GaussJordan elimination), partial fractions, matrix algebra, determinants, conic sections, sequences and series (including special sequences and series), mathematical induction, and the binomial theorem.  
For trigonometry:  
Schaum's Outline of Trigonometry (Paperback) by Robert E. Moyer and Frank Ayres, Jr. 611 solved problems on trigonometry topics: angles, trigonometric functions of a general angle, trigonometric functions of an acute angle, right triangles, applications, reduction to trigonometric functions of an acute angle, graphs of trigonometric functions, basic relationships and identities, trigonometric functions of two angles, sum, difference and product formulas, oblique triangles, area of a triangle, inverses of trigonometric functions, trigonometric equations, complex numbers. Includes appendices on geometry and tables of values of trigonometric functions.  
For calculus:  
Schaum's Outline of Beginning Calculus (Paperback) by Elliott Mendelson 226 solved problems on single variable calculus topics: coordinate systems, graphs of equations, lines, intersections of graphs, symmetry, functions and their graphs, limits, continuity, slope of a tangent line, the derivative, maximum and minimum problems, the chain rule, implicit differentiation, mean value theorem, sign of the derivative, rectilinear motion, instantaneous velocity, related rates, approximation by differentials, Newton's method, higherorder derivatives, graph sketching, angle measure, sine and cosine functions, other trigonometric functions, antiderivatives, the definite integral, the fundamental theorem of calculus, area and arc length, volume, exponential and logarithim functions, l'Hôpital's rule, exponential growth and decay, inverse trigonometric functions, techniques of integration (parts, trigonometric integrands, trigonometric substitution, partial fractions). Appendices with formulas and information on trigonometric, logarithm and exponential functions.  
Schaum's Outline of Calculus (Paperback) by Elliott Mendelson and Frank Ayres, Jr. 1103 solved problems on single and multivariable calculus topics: preliminaries (coordinate systems, absolute value, inequalities, lines, circles, equations and graphs, functions), limits, continuity, the derivative, differentiation rules, implicit differentiation, tangent and normal lines, increasing and decreasing functions, maximum and minimum values, curve sketching, review of trigonometry, derivatives of trigonometric functions, inverse trigonometric functions, rectilinear and circular motion, related rates, differentials, Newton's method, antiderivatives, the definite integral, area under a curve, the fundamental theorem of calculus, exponential and logarithmic functions, l'Hôpital's rule, exponential growth and decay, arc length, volume, techniques of integration (parts, trigonometric integrands, trigonometric substitution, partial fractions, miscellaneous substitutions), improper integrals, area of surface of revolution, parametric curves, curvature, vectors, curvilinear motion, polar coordinates, infinite sequences and series, convergence tests (positive term series, integral test, comparison test, alternating series, absolute and conditional convergence, ratio test), power series, Taylor and Maclaurin series, partial derivatives, total differential, differentiability and chain rule in several variables, space vectors, surfaces and curves in space, directional derivatives, maximum and minimum values in several variables, vector calculus, double and iterated integrals, centroids and moments of inertia, volume under a surface, area of a curved surface, triple integrals, masses of variable density, and differential equations (first and second order).  
Schaum's Outline of Understanding Calculus Concepts (Paperback) by Eli Passow 177 solved problems on single variable calculus topics from a more conceptual point of view: functions, conceptual development, the derivative, slopes, tangent lines, applications of the derivative, Newton's method, linear approximation and Taylor polynomials, the integral, velocity and distance, work, area, Riemann sums, applications, arc length, volume of a solid of revolution, improper integrals, numerical integration (Trapezoidal rule, Simpson's rule), infinite series.  
Schaum's Outline of Calculus for Business, Economics, and The Social Sciences (Paperback) by Edward T. Dowling 1167 solved problems on "applied" calculus topics: review, equations and graphs, functions, the derivative, differentiation, applications of the derivative, exponential and logarithmic functions, integration, and multivariable calculus.  
How to Ace Calculus: The Streetwise Guide by Colin Adams, Joel Hass and Abigail Thompson This pithy and humorous supplement captures the authors' sometimes unorthodox but highly effective approach to teaching calculus. In addition to explaining the big ideas of calculus (making sure to cover the topics students often stumble over), tips about how to succeed in a calculus class are discussed. The book is never funnier than when advising students on issues like how to tell if the instructor is any good at teaching calculus.  
How to Ace the Rest of Calculus: The Streetwise Guide: Including MultiVariable Calculus by Colin Adams, Joel Hass and Abigail Thompson This followup volume takes the reader on a tour of topics from sequences and series to vector calculus, ending with some thoughts on the important question that is on the minds of students: what's going to be on the final?  
If you want to recommend any books for inclusion here, please send suggestions to the email address: comments[at]mathmistakes[dot]info.  
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