First Year Calculus
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 238
This set of notes was used by the author at Imperial College, University of London. It covers the number system, functions, introduction to derivatives, some special functions, applications of derivatives, limits of functions, continuity, differentiation, the definite integral, techniques of integration, numerical integration, applications of integration, improper integrals, ordinary differential equations, first order ordinary differential equations, second order linear ordinary differential equations, functions of two variables, interpolation and approximation, sequences, series, the binomial theorem.
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by Viktor Blasjo - Intellectual Mathematics
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.
by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
by Virgil Snyder - Cornell University Library
The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.
by H. Jerome Keisler - Bodgen & Quigley
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.