Calculus: Concepts and Methods (Paperback)

Ken Binmore

ISBN 10: 0521775418 / ISBN 13: 9780521775410

Published by Cambridge University Press, Cambridge, 2002

About this Item

Paperback. 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. This is the second edition of a popular text on the calculus of functions of several variables. The book is self-contained and features numerous full colour computer graphics. The emphasis of this book is on practical problem solving in the sciences and economics and it includes 250 exercises. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780521775410

Bibliographic Details

• Title: Calculus: Concepts and Methods (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2002
• Language: English
• ISBN 10: 0521775418
• ISBN 13: 9780521775410
• Binding: Paperback
• Condition: new

About this title

Synopsis

This second edition of a text for a course on calculus of functions of several variables begins with basics of matrices and vectors and a chapter recalling the important points of the theory in one dimension. It then introduces partial derivatives via functions of two variables and then extends the discussion to more than two variables. This pattern is repeated throughout the book, with two variables being used as a springboard for the more general case. The book distinguishes itself from the competition with its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers. It overcomes the difficulty of visualizing curves and surfaces from equations with the use of many computer graphics in full color, and it contains more than 250 exercises. With applications to economics and an emphasis on practical problem-solving in the sciences rather than the proof of formal theorems, this text should provide excellent motivation to students.

Book Description

This is the second edition of a popular text for a course in calculus of functions of several variables. The two variable case is consistently used as a springboard for the more general case. An unusual feature of the book is its introduction of elementary difference equations, including the use of the difference operator, as well as differential equations and complex numbers.Curves and surfaces are visualised using many computer graphics in full colour, and there are 250+ exercises.Many applications are presented, and the emphasis is on practical problem-solving.