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Martin Gould, Edward Hurst (Beteiligte)

Bridging the Gap to University Mathematics


2009. xi, 344 S. 24 Tabellen. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2009
ISBN: 1-84800-289-0 (1848002890)
Neue ISBN: 978-1-84800-289-0 (9781848002890)

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Written by students for students, this book offers a refreshing, new approach to making the transition into undergraduate-level mathematics or a similar numerate degree. The book contains chapters rich with worked examples and exercises.
Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging.
Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete.
A range of exercises, complete with full solutions, makes the book ideal for self-study.
Inequalities.- Trigonometry, Differentiation and Exponents.- Polar Coordinates.- Complex Numbers.- Vectors.- Matrices.- Matrices as Maps.- Separable Differential Equations.- Integrating Factors.- Mechanics.- Logic, Sets and Functions.- Proof Methods.- Probability.- Distributions.- Making Decisions.- Geometry.- Hyperbolic Trigonometry.- Motion and Curvature.- Sequences.- Series.