Foundation mathematics for the physical sciences This tutorial style textbook develops the basic mathematical tools needed by first and second year undergraduates to solve problems in the physical sciences. Students gain hands on experience through hundreds of worked examples self test questions and homework problems. Each chapter includes a summary of the main results definitions and formulae. Over 270 worked examples show how to put the tools into practice. Around 170 self test questions in the footnotes and 300 end of section exercises give students an instant check of their understanding. More than 450 end of chapter problems allow students to put what they have just learned into practice. Hints and outline answers to the odd numbered problems are given at the end of each chapter. Complete solutions to these problems can be found in the accompanying Student Solutions Manual. Fully worked solutions to all problems password protected for instructors are available at www.cambridge.org foundation