Calculus: Concepts and Methods 1st Edition by Ken Binmore (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐excellent book I used it very easy to follow easy access and will help you if you have some problems with calculus

⭐This book would also be of considerable value to physicists and engineers, although the primary audience is probably economists. The approach is a thoroughly modern one of using a linear algebra approach to calculus.The book makes no pretence 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 and brava to the authors!

⭐sophisticatedly simple and effective. very good book for calculus 101, coupled with lang and you are done

⭐Regardless of your disciplines – be it finance, economics, engineering, etc. this book is very good. Explains several concepts well and clearly.

⭐Good read.

⭐Brand new

⭐A good introductory book.

⭐Lo devolví. Reprint de Amazon en blanco y negro que no tiene la calidad que corresponde al precio. Una de las supuestas ventajas de esta edición son las ilustraciones. Pequeño detalle que se les pasó cuando lo reimprimieron. Lamentablemente así no vale la pena.

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