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Mathematical concepts and theories underpin much of the physical sciences and engineering. Yet maths is a subject that many students find challenging, and even intimidating - despite it being so central to their field of study. Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. By breaking the subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on how to use the power of maths to best effect, rather than on theoretical proofs of the maths presented. With a huge array of end of chapter problems, and new self-check questions, the fourth edition of Mathematical Techniques provides extensive opportunities for students to build their confidence in the best way possible: by using the maths for themselves. Online Resources The online resources feature the following materials for all users of the book: ? Figures from the book in electronic format, ready to download ? A downloadable solutions manual, featuring worked solutions to all end of chapter problems ? Mathematica-based programs, relating to the Projects featured at the end of the book