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Klappentext This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at chapter ends test comprehension before moving to new material. Zusammenfassung This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at chapter ends test comprehension before moving to new material. Inhaltsverzeichnis Prerequisites from algebra! geometry and trigonometry; Limits and differentiation; Differentiation of products and quotients; Higher-order derivatives; Integration; Definite integrals; Stationary points and points of inflexion; Applications of the function of a function rule; The exponential! logarithmic and hyperbolic functions; Inverse trigonometric and hyperbolic functions; Methods of integration; Further applications of integration; Approximate integration; Infinite series; Differential equations; References; Tables and index.
