Calculus of One Variable (Springer Undergraduate Mathematics Series) - Softcover

Hirst, K.E.

Softcover

ISBN 10: 1852339403 ISBN 13: 9781852339401

Publisher: Springer, 2005

Synopsis

Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory

The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning

Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

About this title

Review:

From the reviews:

"The book is aimed at beginning university students as a introductory calculus textbook ... . Undoubtedly it is a clearly written exposition of the most typical topics of calculus ... full of good examples, with plenty of exercises and answers to them. ... Summing up, the reviewed book is a decent item, which might be recommended not as a main textbook for an introductory calculus course, but as a additional source mainly for practising typical procedures of differentiation and integration." (Piotr Zarzycki, The Mathematical Gazette, Vol. 92 (525), 2008)

From the Back Cover:

Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics of introductory calculus through an extensive, well-chosen collection of worked examples, covering;

algebraic techniques

functions and graphs

an informal discussion of limits

techniques of differentiation and integration

Maclaurin and Taylor expansions

geometrical applications

Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis.

The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas. Readers are also encouraged to practice the essential techniques through numerous exercises which are an important component of the book. Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web.

 

About this edition

• Publisher: Springer
• Publication date: 2005
• ISBN 10: 1852339403
• ISBN 13: 9781852339401
• Binding: Paperback
• Number of pages: 280