Calculus, Applications and Theory
by Kenneth Kuttler
Number of pages: 912
Calculus consists of the study of limits of various sorts and the systematic exploitation of the completeness axiom. It was developed by physicists and engineers over a period of several hundred years in order to solve problems from the physical sciences. It is the language by which precision and quantitative predictions for many complicated problems are obtained. It is used to find lengths of curves, areas and volumes of regions which are not bounded by straight lines. It is used to predict and account for the motion of satellites. It is essential in order to solve many maximization problems and it is prerequisite material in order to understand models based on differential equations. These and other applications are discussed to some extent in this book. It is assumed the reader has a good understanding of algebra on the level of college algebra or what used to be called algebra II along with some exposure to geometry and trigonometry although the book does contain an extensive review of these things. If the optional sections and non standard sections are not included, this book is fairly short. However, there is a lot of non standard material, including the big theorems of advanced calculus.
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by W.P. Webber, L.C. Plant - John Wiley & sons
The present text is the result of several years of study and trial in the classroom in an effort to make an introduction to college mathematics more effective and better suited to its place in a scheme of education under modern conditions of life.
by Jerrold E. Marsden, Alan Weinstein - Springer
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. The exercise sets have been carefully constructed to be of maximum use to the students.
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
by James Callahan, et al. - Five Colleges, Inc.
In this course you will learn to use calculus both as a tool and as a language in which you can think coherently about the problems you will be studying. The computer or the graphing calculator is a tool that that you will need for this course.