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.
Contents: 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.
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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 the end of each chapter test comprehension before moving to new material.
I have decided to use this book as a core text for a basic module in the first year of BSc and Higher National Diploma engineering courses. This text is suited in pace, content, range of well-chosen examples, etc., for students needing a high level of support. --Dr John Baylos, Nottingham Trent University
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