SOME BOOKS RELATED TO CALCULUS
(most of them available at MIT Science Library)
Calculus : A Genetic Approach by Otto Toeplitz
This book is out of print, but you can find it in some libraries
(there is a copy in the research section of the Boston Public Library,
you can't check it out, but you can read it there). It discusses the
genesis of calculus, from the ancient Greeks up to Newton and Leibniz.
It is based on the teaching experience of an outstanding German
mathematician, an attempt to present the development of Calculus by
considering the key problems that it solved and the key questions
that it answered. It's a short book and a must for anybody who wants
a deeper understanding of the subject.
Calculus Lite
Frank Morgan / Paperback / New edition: 2001
sells new for under $30 or used for under $15
An easy introduction to Calculus written by a talented modern
mathematician and an outstanding teacher. Covers most of single-variable
and some of multi-variable calculus in less than 300 pages, a great book!
Introduction to Analysis of the Infinite, Book I
Leonhard Euler / Hardcover / Published 1988
Strictly speaking, a precalculus book, written by Euler more than
250 years ago, deals with the elementary functions, series and sequences,
infinite products, continued ractions, lots of neat stuff. A great math
book by one of the greatest mathematicians. It's not an easy reading.
It's out of print, but available in some libraries.
Analysis by Its History (Undergraduate Texts in Mathematics. Readings
in Mathematics) by Gerhard Wanner, Ernst Hairer
Price: $42.95
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Hardcover - 374 pages (September 1996)
Springer Verlag; ISBN: 0387945512 ; Dimensions (in inches): 0.92 x
9.48 x 6.28
A Calculus text, the topics are presented in the order in which they
were discovered. Covers both one and many variables, the mathematically
rigorous fourmulations and proofs are presented in the second part of
the book, the first part is more heuristic. A must for those interested
in Calculus as a mathematical theory and its history.
"An Infinite Series Approach to Calculus" by Susan
Bassein, 1993, Publish or Perish, Inc. Houston, TX (ISBN 0-914098-27-6)
Our Price: $35.00 (Special Order)
An exceptionally clearly written text which presents Calculus as a
mathematical theory. Serious yet elementary, accessible yet rigorous,
many additional topics, a lot of problems, from elementary to rather
difficult. Probably one of the finest Calculus texts, highly
recommended.
Mathematics for the Million/How to Master the Magic of Numbers
by Lancelot Hogben
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A popular introduction to mathematics, most of the topics from
calculus are treated, contains a lot more. Fun to read. One of the
recipients of the Fields medal (who also worked for Harvard till
recently) claims that he learned Calculus from this book.
What Is Mathematics? : An Elementary Approach to Ideas and Methods
by Richard Courant, Herbert Robbins (Contributor), Ian Stewart
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Paperback - 566 pages 2nd edition (August 1996)
Oxford Univ Pr (Trade); ISBN: 0195105192 ; Dimensions (in inches):
1.06 x 9.02 x 6.05
Another popular introduction to mathematics written by a famous
German-born American mathematician. Covers a lot of Calculus among many
other mahtematical topics. Very clear exposition.
The Feynman Lectures on Physics : Mainly Mechanics, Radiation, and
Heat Vol 1 ~ Usually ships in 24 hours
Robert B Leighton, et al / Paperback / Published 1963
Our Price: $39.38
The first volume (out of 3) of the legendary Feynman Lectures.
Lectures #8, #9, #21 #22 are especially relevant to Calculus, but the
whole book is loaded with great examples of applications of mathematics
to physics.
Basic Calculus: From Archimedes to Newton to its Role in Science
by Alexander J. Hahn, Alex J. Hahn
Our Price: $69.95 or buy used: $48.96
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Hardcover - 600 pages (July 1998)
An introductory calculus text built around the scientific discoveries
that motivated and shaped calculus.
The prices are from amazon.com
AUTHOR Lax, Peter D.
TITLE Calculus with applications and computing / Peter Lax, Samuel
Burstein, Anneli Lax.
PUB. INFO New York : Springer-Verlag, 1976-
DESCRIPTION v. : ill. ; 24 cm.
SERIES Undergraduate texts in mathematics
SUBJECTS *S1 Calculus.
LOCATION Cabot Science: QA303.L35
A very elegant calculus text for the first course in calculus,
written by an outstanding mathematician Peter Lax. This book is out
of print.
A free Calculus text by Karl Heinz Dovermann is available from
http://math.hawaii.edu/~heiner
click on Calculus without Limits (Lecture Notes for Applied Calculus)
to download a pdf file.