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 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.
by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.
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 David Guichard, Neal Koblitz
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector valculus.