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This revised text is suitable for students taking a course in calculus. Changes to this edition include precalculus review moved to the appendix, more emphasis on epsilon-delta functions, many new "real-life" applications, a significant number of computer/calculator exercises, and three new special sections of exercises using the graphing calculator and the computer. This book should be of interest to students taking a course in calculus. ... Read more

Customer Reviews (1)

A great textbook
This is an excellent introductory text for teaching calculus at the high school or college level.Topics are introduced in a logical order and the presentation is very readable--something that cannot be said about some other calculus texts like the one by Hughes-Hallett et. al. where the explanations are unclear and knowledge of many concepts is assumed before those topics are actually presented.It's a shame that it's no longer in print because it would spare a lot of students the agony of trying to learn calculus from a different text. ... Read more

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An innovative text by the authors in the forefront of the "lean and lively" look at calculus, this text presents a one-year course in calculus for students who have had calculus in high school. Rather than eliminating early material, the text goes back through it, though at a faster pace, and instead, interweaves multivariate topics through the text. The book will be one-color and lean, priced well below market leaders. This book aims to be the first of a new generation of calculus texts. ... Read more

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MATHEMATICAL METHODS FOR INTRODUCTORY PHYSICS WITH CALCULUS offers a short summary of the various mathematical methods students will encounter in introductory calculus-based physics courses, and can be used in conjunction with any textbook. Topics are presented from the physicist's viewpoint. The book provides operational mathematical techniques for physics with abundant worked examples. Additionally, questions at the end of each section are answered in the back of the book so students are not left guessing as to whether they've grasped specific topics. ... Read more

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The student of calculus is entitled to ask what calculus is and what it can be used for. This short book provides an answer. The author starts by demonstrating that calculus provides a mathematical tool for the quantitative analysis of a wide range of dynamical phenomena and systems with variable quantities. He then looks at the origins and intuitive sources of calculus, its fundamental methodology, and its general framework and basic structure, before examining a few typical applications. The author's style is direct and pedagogical. The new student should find that the book provides a clear and strong grounding in this important technique. ... Read more

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This text offers a series of lessons that show students how to use the TI-81 or Casio 7700 graphing calculators for a wide variety of calculus procedures. Each lesson contains instructions on using calculators, examples, brief problems, guided exploratory exercises and writing assignments. ... Read more

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The purpose of this book is to introduce the reader to a relaxation method based on a continuous extension of various optimization problems on so-called convex compactifications, which proves useful when dealing particularly with problems in optimal control theory, calculus of variations, and non-cooperative game theory. In the first two chapters background results are summarized, and the general theory of convex compactifications developed by the author is introduced. Later in this theory is used to obtain convex locally compact envelopes of the Lebesgue and Sobolev spaces involved in concrete problems From a unified point of view, these nontrivial envelopes cover the classical Young measures as well as various generalizations of them, which can record the 'limit behaviour' of fast oscillation and concentration effects. Existence and stability of the generalized solutions are then guaranteed by compactness, while convexity allows the optimality conditions resulting in Pontryagin and Weirstrab maximum principles to be formulated.This is demonstrated by optimal control problems governed by ordinary or partial differential equations and integral equations, as well as by scalar or vectorial multi-dimensional variational problems. For problems in game theory, both compactness and convexity are needed to obtain existence results (in terms of mixed strategies). Approximation theory and numerical results of sample examples are also presented. ... Read more

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calculus with numerous eamples and solved illustrative problems ... Read more