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Series on University Mathematics - Vol. 6

A CONCISE INTRODUCTION TO CALCULUS

by W Y Hsiang (University of California, Berkeley)

The student of calculus is entitled to ask what calculus is and what it can be used for. This short book provides an answer.

The author starts by demonstrating that calculus provides a mathematical tool for the quantitative analysis of a wide range of dynamical phenomena and systems with variable quantities.

He then looks at the origins and intuitive sources of calculus, its fundamental methodology, and its general framework and basic structure, before examining a few typical applications.

The author's style is direct and pedagogical. The new student should find that the book provides a clear and strong grounding in this important technique.


Contents:

  • Numbers, Variables and Functions
  • Basic Properties of Functions
  • Approximation and Limit
  • Foundational Framework and Fundamental Theory of Calculus
  • Elementary Functions and Some Typical Examples of Applications of Calculus


Readership: Undergraduates in pure mathematics.


"The book is an intriguing and well-thought out introduction, designed to help students think seriously about the subject, and with little or no attention given to developing traditional routine skills associated with calculus."

Mathematics Abstracts




168pp Pub. date: Sept 1995
ISBN 978-981-02-1900-0
981-02-1900-8
US$39 / £28
ISBN 978-981-02-1901-7(pbk)
981-02-1901-6(pbk)
US$21 / £15
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Updated on 9 May 2008