Elementary Calculus: An Infinitesimal Approach Pdf is a book about mathematics written by Howard Keisler. The main focus point of the book is calculus as the name suggests. In the book, the basis of Robinson’s method for construction of hyperreal numbers is used. The book, today, is available online free of charge and can be accessed on the internet. The printed version was published by Dover. At the end, download Elementary Calculus: An Infinitesimal Approach Pdf free.

## Elementary Calculus: An Infinitesimal Approach Pdf Review:

Keisler explains the basics of calculus first the in the book. These include the derivatives. Thus, he tries to teach the reader how to take the first and second derivative. Moreover, the book also touches on continuity that is associated with calculus. There is also mention of infinitesimals that are integral using. All these concepts are explained in detail first after which the complex aspects of calculus are mentioned. ## Elementary Calculus: An Infinitesimal Approach Pdf Features:

• 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.

• Editorial
• 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