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Calculus: Concepts and Methods [Paperback]

Ken Binmore , Joan Davies
3.6 out of 5 stars  See all reviews (5 customer reviews)
RRP: 43.00
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Book Description

7 Feb 2002 0521775418 978-0521775410 2Rev Ed
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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Product details

  • Paperback: 565 pages
  • Publisher: Cambridge University Press; 2Rev Ed edition (7 Feb 2002)
  • Language: English
  • ISBN-10: 0521775418
  • ISBN-13: 978-0521775410
  • Product Dimensions: 24 x 19 x 3 cm
  • Average Customer Review: 3.6 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Bestsellers Rank: 78,022 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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'… 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.' 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.' 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.' The Mathematical Gazette

Book Description

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. Full colour Mathematica diagrams have been used to give accurate and attractive diagrams to help students visualise the complex mathematical objects.

Inside This Book (Learn More)
First Sentence
This book takes for granted that readers have some previous knowledge of the calculus of real functions of one real variable. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

Most Helpful Customer Reviews
17 of 19 people found the following review helpful
5.0 out of 5 stars An outstanding book 2 Feb 2006
This book would also be of considerable value to physicists and engineers, although the primary audience is probably economists. The aproach is a thoroughly modern one of using a linear algebra approach to calculus.
The book makes no pretense about avoiding the formal definition-theorem-proof approach appropriate to a mathematician. It is not intended to be a rigorous approach. Instead, it focuses on geometric intuition and the "whys" as well as the "hows." The many excellent multi-colo(u)r diagrams are extremely helpful in explaining concepts. Although the book says that prerequisites are basic familiarity with single-variable calculus and linear algebra, the review sections on those topics are thorough enough to learn from, as long as the reader is not completely unfamiliar, by working through the carefully constructed exercises. In fact, the first chapter is, in of itself, an excellent primer on linear algebra.
My hope, for the next edition, is that the authors, having beautifully developed the vector calculus of Grad, might extend the development to Div and Curl (along the intuitive lines of Schey - Div, Grad, Curl and All That) to make the book even more appropriate to physicists/engineers.
If you want a crystal-clear exposition of multi-variable calculus, while learning linear algebra at the same time, this is THE book (and there is nothing else like it that I have seen out there). The book is wonderfully laid out, attractive to work through, and the examples and problem sets are first rate. I hesitate to say it, but I believe you will actually really enjoy the topic, whatever your previous misgivings about calculus may have been. If that is true, you will learn a tremendous amount from this book.
Bravo, the authors!
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1 of 1 people found the following review helpful
By Immz
Format:Paperback|Verified Purchase
Regardless of your disciplines - be it finance, economics, engineering, etc. this book is very good. Explains several concepts well and clearly.
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8 of 12 people found the following review helpful
3.0 out of 5 stars Calculus 1 Mar 2004
By A Customer
This book is quite helpful when it comes to functions of one variable and several variables. I found the chapter on linear differential and difference equations a bit hard to grasp, finding other texts more appropriate for the job. Generally the book seems ok
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0 of 1 people found the following review helpful
5.0 out of 5 stars Very good book 1 May 2014
Format:Paperback|Verified Purchase
I do not understand why there are so many negative comments about this book. At least I find it really useful.
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4 of 10 people found the following review helpful
1.0 out of 5 stars calculus book 26 April 2012
Format:Paperback|Verified Purchase
This is an increadibly irritating book to try to read (my personal opinion only). I have barely got by the first chapter, and have decided to buy another calculus book, because this one has insisted (i`ve flicked through the rest) in calling, for example, a point (x,y) in the cartesian plane - a vector of the form (x,y)-T, which would get really confusing and irritating once you got to the level of say, div, grad, curl etc.

It`s a real shame, because, if this MATRIX terminology (which is used for things that AREN`T MATRICES!!!) hadn`t been used, this would have been one of the best books i had bought!
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