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Elementary Calculus: An Infinitesim..., H. Jerome Keisl

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Estado
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Book Title
Elementary Calculus: An Infinitesimal Approach (Dover Books on...
ISBN
0486484521
EAN
9780486484525
Release Title
Elementary Calculus: An Infinitesimal Approach (Dover Books on...
Artist
H. Jerome Keisler
Brand
N/A
Colour
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Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486484521
ISBN-13
9780486484525
eBay Product ID (ePID)
104258780

Product Key Features

Number of Pages
1008 Pages
Language
English
Publication Name
Elementary Calculus : an Infinitesimal Approach
Subject
Calculus
Publication Year
2012
Type
Textbook
Author
H. Jerome Keisler
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
50.7 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Edition Number
3
Intended Audience
College Audience
LCCN
2011-033656
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Introduction 1. Real and Hyperreal Numbers 2. Differentiation 3. Continous Functions 4. Integration 5. Limits, Analytic Geometry, and Approximations 6. Applications of the Integral 7. Trigonometric Functions 8. Exponential and Logarithmic Functions 9. Infinite Series 10. Vectors 11. Partial Differentiation 12. Multiple Integrals 13. Vector Calculus 14. Differential Equations Epilogue Appendix: Tables Answers to Selected Problems Index
Synopsis
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition., This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition., This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods. Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.
LC Classification Number
QA303.2.K44 2012

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