| Book Name: | [PDF] Elementary Calculus: An Infinitesimal Approach |
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Elementary Calculus PDF
elementary analysis the theory of calculus solutions Pdf
ELEMENTARY CALCULUS: AN INFINITESIMAL APPROACH PDF
Author :: H. Jerome Keisler
Book Description:
This primary-year calculus book is centered round using infinitesimals, an approach largely neglected till lately for causes of mathematical rigor. It exposes college students to the instinct that initially led to the calculus, simplifying their grasp of the central ideas of derivatives and integrals. The creator additionally teaches the standard method, giving college students the advantages of both methods.
The book received major critical acclaim although the first review of the book was a bit harsh.
One of the author’ students based her thesis on the teachings of the book and found elementary calculus to be more helpful in solving problems than the standard method for doing these sums.
TABLE OF CONTENTS:
Editorial
Copyright
Download and Release History
Real and Hyperreal Numbers
Differentiation
Continuous Functions
Integral
Limits, Analytic Geometry, and Approximations
Applications of the Integral
Trigonometric Functions
Exponential and Logartihmic Functions
Exponential Functions
Logarithmic Functions
Derivatives of Exponential Functions and the Number e
Some Uses of Exponential Functions
Natural Logarithms
Some Differential Equations
Derivatives and Integrals Involving ln x
Integration of Rational Functions
Methods of Integrations
Extra Problems for Chapter 8
Infinite Series
Vectors
Vector Algebra
Vectors and Plane Geometry
Vectors and Lines in Space
Product of Vectors
Planes in Space
Vector Valued Functions
Vector Derivatives
Hyperreal Vectors
Extra Problems for Chapter 10Partial Differentiation
Multiple Integrals
Vector Calculus
Differential Equations
Appendix et Addenda
Elementary Calculus: An Infinitesimal Approach PDF
Author(s): H. Jerome Keisler
Year: 2013
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