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 Resource CentreThe Online Resource Centre features 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
PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS; PART 2. MATRIX AND VECTOR ALGEBRA; PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS; PART 4. TRANSFORMS AND FOURIER SERIES; PART 5. MULTIVARIABLE CALCULUS; PART 6. DISCRETE MATHEMATICS; PART 7. PROBABILITY AND STATISTICS; PART 8. PROJECTS; SELF-TESTS: SELECTED ANSWERS; ANSWERS TO SELECTED PROBLEMS; APPENDICES; FURTHER READING; INDEX
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