An edition of A primer of infinitesimal analysis (1998)

A primer of infinitesimal analysis

2nd ed.

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Cover of: A primer of infinitesimal analysis by Bell, J. L.
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Last edited by MARC Bot
December 17, 2020 | History
Edit
An edition of A primer of infinitesimal analysis (1998)

A primer of infinitesimal analysis

2nd ed.

by

  • ★★★ 3.00 ·
  • 1 Rating
  • 0 Want to read
  • 0 Currently reading
  • 2 Have read

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Publish Date
Publisher
Cambridge University Press
Language
English
Pages
124

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Previews available in: English

Subjects
Nonstandard mathematical analysis, Calculus, Mathematical analysis, Transformations, infinitesimal

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Edition Availability
Cover of: Primer of Infinitesimal Analysis
Primer of Infinitesimal Analysis
2008, Cambridge University Press
in English
Libraries near you: WorldCat
Cover of: A primer of infinitesimal analysis
A primer of infinitesimal analysis
2008, Cambridge University Press
in English - 2nd ed.
  • Not in Library
Libraries near you: WorldCat
Cover of: A primer of infinitesimal analysis
A primer of infinitesimal analysis
1998, Cambridge University Press
in English
Libraries near you: WorldCat

Add another edition?

Book Details

Table of Contents

Basic features of smooth worlds
Basic differential calculus
The derivative of a function
Stationary points of functions
Areas under curves and the constancy principle
The special functions
First applications of the differential calculus
Areas and volumes
Volumes of revolution
Arc length; surfaces of revolution; curvature
Application to physics
Moments of inertia
Centres of mass
Pappus' theorems
Centres of pressure
Stretching a spring
Flexure of beams
The catenary, the loaded chain, and the bollard-rope
The Kepler-Newton areal law of motion under a central force
Multivariable calculus and applications
Partial derivatives
Stationary values of functions
Theory of surfaces. Spacetime metrics
The heat equation
The basic equations of hydrodynamics
The wave equation
The Cauchy-Riemann equations for complex functions
The definite integral. Higher-order infinitesimals
The definite integral
Higher-order infinitesimals and Taylor's theorem
The three natural microneighbourhoods of zero
Synthetic differential geometry
Tangent vectors and tangent spaces
Vector fields
Differentials and directional derivatives
Smooth infinitesimal analysis as an axiomatic system
Natural numbers in smooth worlds
Nonstandard analysis.

Edition Notes

Includes bibliographical references (p. 121-122) and index.

Published in
Cambridge, New York

Classifications

Dewey Decimal Class
515
Library of Congress
QA299.82 .B45 2008

The Physical Object

Pagination
xi, 124 p. :
Number of pages
124

ID Numbers

Open Library
OL23158034M
Internet Archive
primerinfinitesi00jlbe
ISBN 10
0521887186
ISBN 13
9780521887182
LCCN
2007035724
Goodreads
6054238

Source records

Library of Congress MARC record
Internet Archive item record
Better World Books record
Library of Congress MARC record

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 17, 2020 Edited by MARC Bot import existing book
August 2, 2020 Edited by ImportBot import existing book
July 6, 2019 Edited by MARC Bot import existing book
April 6, 2014 Edited by ImportBot Added IA ID.
May 7, 2009 Created by ImportBot Imported from Library of Congress MARC record