Calculus: One-variable calculus, with an introduction to linear algebra

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Wiley, 1967 - Mathematics - 688 pages
14 Reviews
Now available in paperback! An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

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Review: Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

User Review  - Benjamin Kushigian - Goodreads

This book offers a beautiful foundation - starting in the introduction with some basic axioms of real numbers (not quite starting from Peano's axioms). It is not necessary to get this in depth but for ... Read full review

Review: Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

User Review  - Frank Palardy - Goodreads

I used this book to refresh my Calculus. It's not easy. There are some newer books that are probably easier. I felt he covered everything, which is what you want. If there were any flaws I didn't notice. Read full review

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Contents

Historical Introduction
1
Some Basic Concepts of the Theory of Sets
11
A Set of Axioms for the RealNumber System
17
Copyright

17 other sections not shown

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Calculus -- from Wolfram mathworld
"The" calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis) is the branch of mathematics studying the ...
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Apostol tm — Calculus (vol 1) :: Электронная библиотека ...
An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation — this is a departure ...
lib.mexmat.ru/ books/ 88

Mathematical Tripos: IA Vector Calculus Contents
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Visual Calculus - Wikipedia, the free encyclopedia
Visual Calculus by Mamikon Mnatsakanian is an approach to solving a variety of integral calculus problems. [1] Many problems which would otherwise seem ...
en.wikipedia.org/ wiki/ Visual_Calculus

MATH2961 Linear Algebra and Vector Calculus (advanced)
The lectures in the Vector Calculus part of the unit are on Tuesdays and ... tm Apostol, Calculus, Vol II: multivariable calculus and linear algebra with ...
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JSTOR: Geometric Series Descartes, and the Fundamental Theorem of ...
The main calculation, which is not found in many calculus textbooks and is due ... While this approach may seem like the popular American 'reform' calculus, ...
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COURSE: CALCULUS I STUDIES: CHEMICAL ENGINEERING (1 cycle) CODE: 22001
These are the ordinary concepts and tools in infinitesimal calculus: ... Give the students the terms, concepts and theories of Infinitesimal Calculus . [1]. ...
www.url.es/ en/ ip/ center/ iqs/ subjects/ CALCULUS_I.pdf

Topic:Calculus - Wikiversity
The Calculus Learning Center is a Wikiversity content development project where participants create, organize and develop learning resources for Calculus. ...
en.wikiversity.org/ wiki/ Topic:Calculus

Calculus Book Text - Physics Forums Library
[Archive] Calculus Book General Math. ... Can anyone recommend an introductory Calculus book for a Grade 11 student? I know this may sound dumb, ...
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MAT 142 - Honors Calculus II - Spring 08
Because the MAT 141/142 sequence strongly emphasizes mathematical rigor, other Calculus courses would typically leave the student unprepared to enroll in ...
www.math.sunysb.edu/ ~anderson/ Teaching/ infoindex.php.html

About the author (1967)

TOM M. APOSTOL, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

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