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Full Description
A long-standing, best-selling, comprehensive textbook covering all the mathematics required on upper level engineering mathematics undergraduate courses. Its unique programmed approach takes students through the mathematics they need in a step-by-step fashion with a wealth of examples and exercises. The text demands that students engage with it by asking them to complete steps that they should be able to manage from previous examples or knowledge they have acquired, while carefully introducing new steps. By working with the authors through the examples, students become proficient as they go. By the time they come to trying examples on their own, confidence is high.This textbook is ideal for undergraduates on upper level courses in all Engineering disciplines and Science.
Contents
Hints on Using the Book.- Useful Background Information.- Numerical Solutions of Equations and Interpolation.- Laplace Transforms Part 1.- Laplace Transforms Part 2.- Laplace Transforms Part 3.- Difference equations and the Z Transform.- Introduction to invariant linear systems.- Fourier Series 1 .- Fourier Series 2.- Introduction to the Fourier Transform.- Power Series Solutions of Ordinary Differential Equations 1.- Power Series Solutions of Ordinary Differential Equations 2.- Power Series Solutions of Ordinary Differential Equations 3.- Numerical Solutions of Ordinary Differential Equations.- Partial Differentiation.- Partial Differential Equations.- Matrix Algebra .- Systems of ordinary differential equations.- Numerical Solutions of Partial Differential Equations.- Multiple Integration Part 1.- Multiple Integration Part 2.- Integral Functions.- Vector Analysis Part 1.- Vector Analysis Part 2.- Vector Analysis Part 3.- Complex Analysis Part 1.- Complex Analysis Part 2.- Complex Analysis Part 3.- Optimization and Linear Programming.
