Undergraduate Texts in Mathematics

Short Calculus

The Original Edition of “A First Course in Calculus”

Authors: Lang, Serge

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  • ISBN 978-1-4613-0077-9
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Softcover $54.95
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  • ISBN 978-0-387-95327-4
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About this Textbook

This is a reprint of "A First Course in Calculus," which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again. The audience consists of those taking the first calculus course, in high school or college. The approach is the one which was successful decades ago, involving clarity, and adjusted to a time when the students'background was not as substantial as it might be. We are now back to those times, so it's time to start over again. There are no epsilon-deltas, but this does not imply that the book is not rigorous. Lang learned this attitude from Emil Artin, around 1950.

Reviews

From the reviews:

"...Lang's present book is a source of interesting ideas and brilliant techniques."
Acta Scientarium Mathematicarum

"... It is an admirable straightforward introduction to calculus."
Mathematika

"A First Course in Calculus went through five editions since the early sixties. Now the original edition of A First Course in Calculus is available again. The approach is the one that was successful decades ago, involving clarity and adjusted to a time when the students’ background was not as substantial as it might have been. … The audience is intended to consist of those taking the first calculus course, in high school or college." (G. Kirlinger, Internationale Mathematische Nachrichten, Vol. 57 (193), 2003)

"This is a reprint of the original edition of Lang’s A first course in calculus, which was first published in 1964. … The treatment is ‘as rigorous as any mathematician would wish it’ … . There are quite a lot of exercises … they are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging. … There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." (Gerry Leversha, The Mathematical Gazette, Vol. 86 (507), 2002)


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-1-4613-0077-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.95
price for USA in USD
  • ISBN 978-0-387-95327-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Short Calculus
Book Subtitle
The Original Edition of “A First Course in Calculus”
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2002
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4613-0077-9
DOI
10.1007/978-1-4613-0077-9
Softcover ISBN
978-0-387-95327-4
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XII, 260
Topics