Foundations of Science Mathematics

Mathematics plays a key part in every quantitative and theoretical subject, and is taught to all science and engineering students. Foundations of Science Mathematics bridges the gap between school and university, and spans a large range of topics, from basic arithmetic and algebra to calculus, Fourier transforms, and elementary data analysis. Problems and worked solutions are presented in an informal and readable tutorial style, making the text accessible to the novice, while its concise nature ensures that it is a useful reference for the experienced professional. The first edition primer and its companion 'Worked Problems' workbook are combined in this new edition, and a new chapter on data analysis has been added to ensure the book remains as comprehensive and useful to students as possible.

1 - Basic algebra and arithmetic
2 - Curves and graphs
3 - Trigonometry
4 - Differentiation
5 - Integration
6 - Taylor series
7 - Complex numbers
8 - Vectors
9 - Matricies
10 - Partial differentiation
11 - Line integrals
12 - Multiple integrals
13 - Ordinary differential equations
14 - Partial differential equations
15 - Fourier series and transforms
16 - Data analysis

Devinder S. Sivia read Natural Sciences as an undergraduate at St John's College, Cambridge, and completed a PhD with the Radio Astronomy Group at the Cavendish Laboratory. After a three-year PostDoctoral Fellowship at the Los Alamos National Laboratory in the USA, he returned to England as a Staff Scientist at the Rutherford Appleton Laboratory. He has been teaching Mathematics to science undergraduates at St Catherine's College, and St. John's College, Oxford, for 30 years. Joanna L. Rhodes read Chemistry as an undergraduate at St Catherine's College, Oxford and completed her DPhil at St John's College specialising in electrochemistry as part of the Compton Group of the Physical and Theoretical Chemistry Laboratory. She then went on to teach Chemistry, becoming Director of Science and Assistant Principal, at Shelley College, West Yorkshire. She is currently Director of Sixth Form at Wakefield Girls' High School, West Yorkshire.