Problems And Propositions In Analysis

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Aspects of Calculus

Author: Gabriel Klambauer
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline. For further exercises the interested reader may want to consult a problem book by the author entitled Problems and Propositions in Analysis (New York: Marcel Dekker, 1979). For the history of calculus I recommend the book by C. B. Boyer, The Concepts of the Calculus (New York: Dover, 1949).
Excursions in Calculus

Author: Robert M. Young
language: en
Publisher: Cambridge University Press
Release Date: 1992
This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.