| From Eudoxus to Einstein. A History of Mathematical Astronomy, CUP (2004), ISBN: 0521827507.
Paperback edition now available. |
| Contents. Preface; 1. Introduction; 2. Spheres and circles; 3. The Ptolemaic universe; 4. Developments in geocentric astronomy; 5. The heliocentric universe; 6. Tycho Brahe, Kepler and the ellipse; 7. Galileo, the telescope, and Keplarian astronomy; 8. The universal theory of gravitation; 9. Celestial mechanics; 10. The asteroids and the outer planets; 11. New methods; 12. Mercury and Relativity. |
| Extracts from Reviews |
| Linton presents the 4000 year history of astronomy from a refreshingly different viewpoint ... His treatment is thorough and clear, but not daunting. David Hughes - New Scientist, November 2004 |
| The homework requisite for the task Linton has undertaken is demanding, both in extent and depth. He has done it thoroughly and well. Curtis Wilson - Journal for the History of Astronomy, May 2005 |
| It will be an important reference work for decades to come; I hope it will also provide a model for more expositions of challenging mathematical topics to a wider audience. Glen Van Brummelen - MAA Online |
| This survey of astronomy's mathematical underpinnings is a joy to read, and Linton's history comes alive with anecdotes about eccentric personalities. Roger Sinnott - Sky & Telescope, September 2005 |
| I came across something new to me in every chapter and was constantly impressed by the clarity of Linton's exposition. Professional astronomers are likely to find the book engaging. Professional historians of astronomy will find it an indispensable resource. James Evans - Isis, March 2006 |
I have written chapters in the following
| Mathematical Techniques for Water Waves, WIT Press (1997), ISBN: 1-85312-413-3. |
| Contents. 1. Complementary Methods for Scattering by Thin Barriers; 2. The Use of Multipoles in Channel Problems; 3. Analytical Dynamics of Wave-Body Interactions; 4. The Use of Green's Theorem in Water Wave Problems; 5. Interaction of Water Waves with Thin Plates; 6. A Survey on Two Mathematical Methods Used in Scattering of Surface Water Waves; 7. A Singular Integral Equation and its Application to Some Barrier Problems |
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Lecture Notes on the Mathematics of Acoustics
, Imperial College Press (2005), ISBN: 1-86094-496-5. |
| Contents. Vector Calculus, Functions of a Complex Variable, Integral Transforms, Asymptotic Expansion of Integrals, The Wiener-Hopf Technique, Waveguides (with Maureen McIver), Wavefield Decomposition, Acoustics of Rigid-Porous Materials, Generalised Functions in Aeroacoustics, Monopoles, Dipoles, and Quadrupoles, Corrugated Pipe Flow, Digital Filters, Measurement of Linear Time-Invariant Systems, Numerical Optimisation.
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