Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace.
Train your brain with ease! Calculus Know-It-ALL
Checkpoints to help you track your knowledge and skill levelProblem/solution pairs and chapter-ending quizzes to reinforce learningFully explained answers to all practice exercisesA multiple-choice exam to prepare you for standardized tests"Extra Credit" and "Challenge" problems to stretch your mindStan's expert guidance gives you the know-how
Understand mappings, relations, and functionsCalculate limits and determine continuityDifferentiate and integrate functionsAnalyze graphs using first and second derivativesDefine and evaluate inverse functionsUse specialized integration techniquesDetermine arc lengths, surface areas, and solid volumesWork with multivariable functionsTake college entrance examinations with confidenceAnd much more!
A very basic introduction to calculus. Most of the method I remember from high school maths class, except for the clearly described theory of boundaries. Boundaries and limit theory are the roots of Calculus, and I fear that my high school classwork covered these insufficiently.
Calculus, like any mathematics or science, is based on several assumptions (which assures us, by the way, that science cannot solve every question, even if we wished that it could; the ones it cannot or does not wish to it pushes away by refusing to consider them). Functions and their derivatives cannot be defined until all anomalies and unwanted ripples are eliminated using boundaries.
I will advise readers to go carefully over the text and perhaps familiar methodology, if only to relearn the theory of boundary conditions. This book is very well presented, clear and concise. If the pages had been finer, the weight of the book and its size may have been reduced.