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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. Key Features Each chapter opens with a new introduction, which explains the content and aim of the chapter, and places it in context for the student The whole text has been reviewed with an eye on increasing clarity New self-check questions appear at the end of most sections to augment the end of chapter problems, giving students an additional opportunity to check their understanding A new appendix covers one-dimensional analysis and units About the Author Dominic Jordan Mathematics department, Keele University Peter Smith Mathematics department, Keele University