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Calculus: Concepts and Methods
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 8

Book description

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.

Reviews

‘… well illustrated and has a good supply of examples and exercises … an excellent textbook for courses in intermediate calculus for students of mathematics as well as economics.’

Source: Zentralblatt für Mathematik

‘The book not only broadens one's mathematical scope and improves one's mathematical skill but, even more usefully, it shows the reader how powerful are the tools that mathematics offers, and that mathematics allows us to participate in processes where our presence is impossible: through mathematics we can enter forbidden worlds, through mathematics we can see the future. Although the book contains no formal definitions, theorems or proofs, it is a genuine mathematical textbook showing how and why the explained methods and concepts work. One hardly can imagine a better textbook of this type.‘

Source: EMS

‘… a welcome addition to the ever increasing library of texts introducing the calculus of several real variables. The book is carefully thought out and well written with its target audience always in mind.‘

Source: The Mathematical Gazette

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