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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This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
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 K.D. Stroyan - Academic Press, Inc.
This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the 'theorem - proof' approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.
by Robert H. Smith - Griffin
This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.