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Fundamental ideas, rates and differentials. Functions and derivatives. Differentials of algebraic functions. Use of rates and differentials in solving problems. Differentials of trigonometric functions. Velocity, acceleration and derivatives. Interpretation of functions and derivatives by means of graphs. Maximum and minimum values. Problems in maxima and minima. Differentials of logarithmic and exponential functions. Summary of differential formulas. Reversing the process of differentiation. Integral formulas. How to use integral formulas. Interpretation of integrals by means of graphs. Graphical applications of integration. Use of integrals in solving problems. The natural law of growth and the number.
Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.
Geometry is far more than just shapes and numbers. It governs much of our lives, from architecture and data-mining technology to aerodynamic car design, life-like characters in animated movies, the molecules of food, even our own body chemistry. This title discusses the groundbreaking work of Donald Coxeter, the greatest geometer of his age.
"Where are we ever going to use this?" Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics--from baseball statistics to the theory of relativity--that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry.