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.

The answers to the worked examples are superb, very instructive, and include detailed sketches.

• 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.

The answers to the worked examples are superb, very instructive, and include detailed sketches.

• 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