Calculus Demystified : A Self Teaching Guide (Demystified)

Calculus is one of the milestones of Western thought. Building on ideas of Archimedes, Fermat, Newton, Leibniz, Cauchy, and many others, the calculus is arguably the cornerstone of modern science. Any well-educated person should at least be acquainted with the ideas of calculus, and a scientifically literate person must know calculus solidly. Calculus has two main aspects: differential calculus and integral calculus. Differential calculus concerns itself with rates of change. Various types of change, both mathematical and physical, are described by a mathematical quantity called the derivative. Integral calculus is concerned with a generalized type of addition, or amalgamation, of quantities. Many kinds of summation, both mathematical and physical, are described by a mathematical quantity called the integral. What makes the subject of calculus truly powerful and seminal is the Fundamental Theorem of Calculus, which shows how an integral may be calculated by using the theory of the derivative. The Fundamental Theorem enables a number of important conceptual breakthroughs and calculational techniques. It makes the subject of differential equations possible (in the sense that it gives us ways to solve these equations). Calculus Demystified explains this panorama of ideas in a step-by-step and accessible manner. The author, a renowned teacher and expositor, has a strong sense of the level of the students who will read this book, their backgrounds and their strengths, and can present the material in accessible morsels that the student can study on his own. Well-chosen examples and cognate exercises will reinforce the ideas being presented. Frequent review, assessment, and application of the ideas will help students to retain and to internalize all the important concepts of calculus. We envision a book that will give the student a firm grounding in calculus. The student who has mastered this book will be able to go on to study physics, engineering, chemistry, computational biology, computer science, and other basic scientific areas that use calculus. Calculus Demystified will be a valuable addition to the self-help literature. Written by an accomplished and experienced teacher (the author of How to Teach Mathematics), this book will aid the student who is working without a teacher.

LEARNING CALCULUS JUST GOT A LOT EASIER!

Here's an innovative shortcut to gaining a more intuitive understanding of both differential and integral calculus. In Calculus Demystified an experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples, real data, and a totally different approach to mastering calculus.

With Calculus Demystified you ease into the subject one simple step at a time — at your own speed. A user-friendly, accessible style incorporating frequent reviews, assessments, and the actual application of ideas helps you to understand and retain all the important concepts.

THIS ONE-OF-A-KIND SELF-TEACHING TEXT OFFERS:
* Questions at the end of each chapter and section to reinforce learning and pinpoint weaknesses
* A 100-question final exam for self-assessment
* Detailed examples and solutions
* Numerous "Math Notes" and "You Try It" items to gauge progress and make learning more enjoyable
* An easy-to-absorb style — perfect for those without a mathematics background

If you've been looking for a painless way to learn calculus, refresh your skills, or improve your classroom performance, your search ends here.

Calculate this: learning CALCULUS just got a whole lot easier! Stumped trying to understand calculus? Calculus Demystified, Second Edition, will help you master this essential mathematical subject. Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts. It's a no-brainer! You'll get: Applications of the derivative and the integral Rules of integration Coverage of improper integrals An explanation of calculus with logarithmic and exponential functions Details on calculation of work, averages, arc length, and surface area Simple enough for a beginner, but challenging enough for an advanced student, Calculus Demystified, Second Edition, is one book you won't want to function without! Basics Foundations of calculus Applications of the derivative Integral Indeterminate forms Transcendental functions Methods of integration Applications of the integral Solutions to Exercises Final Exam Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus