Sistema de Bibliotecas Universidad de América | SISTEMA DE BIBLIOTECAS

ACERCA DE NOSOTROS

Elementary calculus: An infinitesimal approach Jerome Keisler, H.

By: Keisler, H. Jerome [autor]Language: inglés Original language: inglés New York Dover Publications 2012Edition: 3rd editionContent type: Media type: Carrier type: ISBN: 9780486484525Subject(s): CálculoDDC classification: 515
Contents:
Real and hyperreal numbers. - - Continuous funtions. - - Applications of the integral. - - Trigonometric funtions. - - Vectors. - - Partial differentation. - - Multiple integrals. - - Vector calculus. - - Differantial equations.
Summary: 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.
List(s) this item appears in: Ingeniería Química
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current location Collection Call number Vol info Copy number Status Date due Barcode Item holds
Book Book B. Campus los Cerros
Colección general
Colección general 515 K278e (Browse shelf) 3rd edition 2012 1 Available 0000057947
Book Book B. Campus los Cerros
Colección general
Colección general 515 K278e (Browse shelf) 3rd edition 2012 2 Available 0000057948
Book Book B. Campus los Cerros
Colección general
Colección general 515 K278e (Browse shelf) 3rd edition 2012 3 Available 0000057949
Total holds: 0

Include appendix and index. - - Appendix tables

Real and hyperreal numbers. - - Continuous funtions. - - Applications of the integral. - - Trigonometric funtions. - - Vectors. - - Partial differentation. - - Multiple integrals. - - Vector calculus. - - Differantial equations.

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.

There are no comments on this title.

to post a comment.

Powered by Koha