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Calculus Light
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The first question we may face is: “Another Calculus book?” We feel that the an- swer is quite simple. As long as students find mathematics and particularly calcu- lus a scary subject, as long as the failure rate in mathematics is higher than in all other subjects, except maybe among students who take it as a major in College and as long as a large majority of the people mistakenly believe that only geniuses can learn and understand mathematics and particularly analysis, there will always be room for a new book of Calculus. We call it Calculus Light.
This book is designed for a one semester course in "light" calculus, and meant to be used by undergraduate students without a deep mathematical background who do not major in mathematics or electrical engineering but are interested in ar- eas such as biology or management information systems. The book's level is suit- able for students who previously studied some elementary course in general mathematics. Knowledge of basic terminology in linear algebra, geometry and trigonometry is advantageous but not necessary.
In writing this manuscript we faced two dilemmas. The first, what subjects should be included and to what extent. We felt that a modern basic book about calculus dealing with traditional material of single variable is our goal. The introduction of such topics and their application in solving real world problems demonstrate the necessity and applicability of calculus in practically most walks of life.
Our second dilemma was how far we ought to pursue proofs and accuracy. We provided rigorous proofs whenever it was felt that the readers would benefit either by better understanding the specific subject, or by developing their own creativity. At numerous times, when we believed that the readers were ready, we left them to complete part or all of the proof. Certain proofs were beyond the scope of this book and were omitted. However, it was most important for us never to mix intui- tion and heuristic ideas with rigorous arguments
Menahem Friedman and Abraham Kandel - Personal Name
1st Edtion
978-3-642-17848-1
NONE
Calculus Light
Mathematics
English
Springer-Verlag Berlin Heidelberg
2011
Germany
1-312
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