Master Math: Pre-Calculus and Geometry

This is the third one in the `Master Math' series. Like the earlier ones, this too follows the same style. Simple, but effective. As I told in the review for the first two books, I was looking for a book to brush up my math after 22 years. I am repeating the same stuff, just keep one thing in mind; this is neither a text book nor a replacement for it. Written in a very simple and clear language and it is not just a collection of formulas and definitions. If you are starting after a long break, it is better you follow the reading order, go through the first and second books first. I agree with one of the reviewer with respect to the value of `Pi'; it is written clearly as "The value of Pi is 22/7 or approximately 3.141592654" but when we divide 22 by 7, what we get is 3.14285714 `. About the confusion regarding the relationship of pi, circumference and diameter, the book clearly says that "More specifically, Pi is equivalent to the circumference divided by the diameter of a circle". This book won't disappoint you. If all you want is to brush up or learn the basics or a fast reference, this is the book for you. If you are serious about the subject, add one more book and don't minus this.

Master Math: Pre-Calculus Table of ContentsIntroductionChapter 1 Geometry1.1. Lines and angles 1.2. Polygons 1.3. Triangles 1.4. Quadrilaterals (four sided polygons) 1.5. Circles 1.6. Perimeter and area of planar two-dimensional shapes 1.7. Volume and surface area of three-dimensional objects 1.8. VectorsChapter 2 Trigonometry 2.1. Introduction 2.2. General trigonometric functions 2.3. Addition, subtraction and multiplication of two angles 2.4. Oblique triangles 2.5. Graphs of cosine, sine, tangent, secant, cosecant and cotangent 2.6. Relationship between trigonometric and exponential functions 2.7. Hyperbolic functionsChapter 3 Sets and Functions 3.1. Sets 3.2. FunctionsChapter 4 Sequences, Progressions and Series4.1. Sequences 4.2. Arithmetic progressions 4.3. Geometric progressions 4.4. Series 4.5. Infinite series: convergence and divergence 4.6. Tests for convergence of infinite series 4.7. The power series 4.8. Expanding functions into series 4.9. The binomial expansionChapter 5 Limits5.1. Introduction to limits 5.2. Limits and continuityChapter 6 Introduction to the Derivative6.1. Definition 6.2. Evaluating derivatives 6.3. Differentiating multivariable functions 6.4. Differentiating polynomials 6.5. Derivatives and graphs of functions 6.6. Adding and subtracting derivatives of functions 6.7. Multiple or repeated derivatives of a function 6.8. Derivatives of products and powers of functions 6.9. Derivatives of quotients of functions 6.10. The chain rule for differentiating complicated functions 6.11. Differentiation of implicit vs. explicit functions 6.12. Using derivatives to determine the shape of the graph of a function (minimum and maximum points) 6.13. Other rules of differentiation 6.14. An application of differentiation: curvilinear motionChapter 7 Introduction to the Integral7.1. Definition of the antiderivative or indefinite integral 7.2. Properties of the antiderivative or indefinite integral 7.3. Examples of common indefinite integrals 7.4. Definition and evaluation of the definite integral 7.5. The integral and the area under the curve in graphs of functions 7.6. Integrals and volume 7.7. Even functions, odd functions and symmetry 7.8. Properties of the definite integral 7.9. Methods for evaluating complex integrals; integration by parts, substitution and tables Index Appendix Tables of Contents of First and Second Books in the Master Math Series

This book is pretty small but it gives great explanations of geometric shapes, angles, and trig functions like tan, sin, cos, and others. It's straight to the point and I learned from it very quickly. I highly suggest getting this book before moving on to a more advanced, or even just a regular geometry or trig book.