Foundations of Infinitesimal Calculus
by H. Jerome Keisler
Publisher: University of Wisconsin 2011
Number of pages: 213
This monograph is a companion to the online edition of my textbook 'Elementary Calculus: An Approach Using Infinitesimals'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
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by C. E. Love, E. D. Rainville - The MacMillan Company
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
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This book presents the elementary functions; algebraic and transcendental, and their applications to problems arising in various fields of knowledge. The treatment is confined to functions of one variable, with incidental exceptions ...
by Alfred Lodge - Deighton, Bell, & Co.
The object of this book is to provide an easy introduction to the Calculus for those students who have to use it in their work, to make them familiar with its ideas and methods. A working knowledge of elementary algebra and trigonometry is assumed.
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The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.