
- English
- PDF
- Available on iOS & Android
Foundation Mathematics for the Physical Sciences
About this book
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.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Contents
- Preface
- 1 Arithmetic and geometry
- 2 Preliminary algebra
- 3 Differential calculus
- 4 Integral calculus
- 5 Complex numbers and hyperbolic functions
- 6 Series and limits
- 7 Partial differentiation
- 8 Multiple integrals
- 9 Vector algebra
- 10 Matrices and vector spaces
- 11 Vector calculus
- 12 Line, surface and volume integrals
- 13 Laplace transforms
- 14 Ordinary differential equations
- 15 Elementary probability
- A The base for natural logarithms
- B Sinusoidal definitions
- C Leibnitz’s theorem
- D Summation convention
- E Physical constants
- F Footnote answers
- Index