Designed as an introduction to higher-education mathematics, Bridging the Gap is the only book of this sort written for students by students. The authors, Martin Gould and Edward Hurst, wrote this book as second-year undergraduates at Warwick University. Their experiences as students have helped them create an approachable and comprehensive introductory text that will be of benefit to anyone looking to make the step-up to university education. This book contains chapters rich with worked examples and exercises covering all the key subject-areas that a first-year undergraduate will encounter, such as Inequalities, Complex Numbers, Probability, Matrices and many more. The authors have also included a “Test Yourself” exercise at the beginning of each chapter so that students will know straightaway which chapters will be of most use to them. Every topic concludes with a “Where Now?” section that helps the reader find out exactly how and where they can apply their newly-learned skills.Table of Contents: 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.