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The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences.
This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations.
Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples.
Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective.
They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions.
Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises.
Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects.
This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.
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