Analytic Geometry and Calculus
by F.S. Woods, F.H. Bailey
Publisher: Ginn and Company 1917
Number of pages: 542
The first part of the book brings together all methods for the graphical representation of functions of one variable, both algebraic and transcendental. This has the effect of devoting the first part of the book to analytic geometry of two dimensions, the analytic geometry of three dimensions being treated later when it is required for the study of functions of two variables. The transition to the calculus is made early through the discussion of slope and area, the student being thus introduced in the first year of his course to the concepts of a derivative and a definite integral as the limit of a sum.
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by Marcel B. Finan - Arkansas Tech University
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
by W W L Chen - Macquarie University
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
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This monograph is a companion to 'Elementary Calculus'. 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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The book covers all the material of single and multivariable calculus that is normally in a three semester course for science, mathematics, and engineering students. The style is less formal and more personal than the typical text.