Dr Anthony Osborne

Title: Senior Lecturer
Phone: 01782 733265
Email: a.d.osborne@keele.ac.uk
Location: MacKay Building Room 2.13
Role: Senior Tutor
Contacting me:

I studied for a Single Honours Degree in Mathematics at the City University, London. I remained at that university to undertake a research degree in the general areas of General Relativity and dynamical systems. I was awarded a Doctor of Philosophy Degree in 1980. I came to Keele as a lecturer in October 1979 and was promoted to Senior Lecturer in 1999. I served on the University Senate form 1991 to 2006 and have been an auditor for the University's Internal Quality Audits.

My main area of interest lies in real and complex analysis of one form or another. I have written an undergraduate textbook on Complex Variables, which was first published in 1998. I have also worked in the area of systematic methods for solving non-linear partial differential equations, in particular, with the separation of variables and its connection with similarity methods. In addition, I have worked in the area of the qualitative theory of ordinary differential equations, applied particularly to geodesic equations in General Relativity, as in my doctoral thesis.

I am interested in natural philosophy and, in particular, I have worked with N. V. Pope on a new philosophical approach to the classical physics and relativity interface over the past twenty years. This collaboration has led to our 'angular momentum synthesis' which falls under Pope's Normal Realist philosophy.

I am also interested in the use of number theory in algebra. I have worked with Dr. H. Liebeck, on the problem of constructing orthonormal bases for the vector space Qn. I am continuing this work by studying the more general and difficult problem of rational congruence of matrices via p-excess.

Selected Publications

  • Osborne AD and Pope NV. 2016. Einstein's Lost Legacy. (14 vols.). Amazon.
  • Osborne AD and Pope NV. 2012. POAMS and the Cosmological Redshift. Galilean Electrodynmaics, vol. 23(6), 103-108.
  • Osborne AD and Pope NV. 2012. POAMS and the Cosmological Redshift. Galilean Electrodynmaics, vol. 23(6), 103-108.
  • Osborne AD and Pope NV. 2008. A Neo-Phenomenalist Alternative to Special Relativity Theory. Galilean Electrodynamics, vol. 19(4), 63-67.
  • Osborne AD and Pope NV. 2008. Orbital Time Dilation. Galilean Electrodynamics, vol. 19(2), 23-29.

Full Publications List show

Books

  • Osborne AD and Pope NV. 2016. Einstein's Lost Legacy. (14 vols.). Amazon.
  • Osborne AD and Pope NV. 2007. Light-Speed, Gravitation and Quantum Instantaneity. phi Philosophical Enterprises.
  • Pope NV, Osborne AD, Winfield AFT, Graneau P, Graneau N, Roscoe DF, Galeczki G, Rowlands P. Osborne AD and Pope NV (Eds.). 2005. Immediate distant action and correlation in modern physics. Edwin Mellen Pr.
  • Osborne AD. 1999. Complex Variables and Their App;lications: Solutions Manual. Addison Wesley Longman.
  • Osborne AD. 1999. Complex Variables and Their Applications. Addison-Wesley.

Journal Articles

  • Osborne AD and Pope NV. 2012. POAMS and the Cosmological Redshift. Galilean Electrodynmaics, vol. 23(6), 103-108.
  • Osborne AD and Pope NV. 2012. POAMS and the Cosmological Redshift. Galilean Electrodynmaics, vol. 23(6), 103-108.
  • Osborne AD and Pope NV. 2008. A Neo-Phenomenalist Alternative to Special Relativity Theory. Galilean Electrodynamics, vol. 19(4), 63-67.
  • Osborne AD and Pope NV. 2008. Orbital Time Dilation. Galilean Electrodynamics, vol. 19(2), 23-29.
  • Osborne AD and Pope NV. 2003. An Angular Momentum Synthesis of 'Gravitational' and 'Electrostatic' Forces. Galiean Electrodynmaics & GED East, vol. 14(Special Issues 1), 11-19.
  • Osborne AD. 1997. Introducing the Eigenvalue 1. American Mathematical Monthly, vol. 104, 178.
  • POPE NV and OSBORNE AD. 1995. INSTANTANEOUS GRAVITATIONAL AND INERTIAL ACTION-AT-A-DISTANCE. PHYSICS ESSAYS, vol. 8(3), 384-397. link> doi>
  • Osborne AD. 1995. A Special Value of a Quadratic Form. American Mathematical Monthly, vol. 102, 747-748.
  • POPE NV and OSBORNE AD. 1992. INSTANTANEOUS RELATIVISTIC ACTION-AT-A-DISTANCE. PHYSICS ESSAYS, vol. 5(3), 409-421. link> doi>
  • FORD WF, GROSJEAN CC, DEMEYER H, JORDAN WB, KING AC, OSBORNE AD, WILKINS JE. 1992. A 3RD-ORDER DIFFERENTIAL-EQUATION. SIAM REVIEW, vol. 34(1), 121-122. link> doi>
  • Osborne AD. 1991. The Generation of All Rational Orthogonal Matrices. American Mathematical Monthly, vol. 98, 131-133.
  • Osborne AD. 1990. A note on a generalised cross product. International Journal of Mathematics Education in Science and Technology, vol. 21, 996-997.
  • Osborne AD. 1989. Orthogonal Bases of R3 with Integer Coordinates and Integer Lengths. American Mathematical Monthly, vol. 96, 45-53.
  • Osborne AD. 1987. A new approach to Special Relativity. International Journal of Mathematics Education in Science and Technology, vol. 18, 191-198.
  • OSBORNE AD. 1985. A NONLINEAR DIFFERENTIAL-EQUATION. SIAM REVIEW, vol. 27(1), 83. link> doi>
  • Osborne AD. 1985. Gravitation and the Problem of Space-time Singularities. Bulletin of the IMA, vol. 21, 123-129.
  • OSBORNE AD. 1981. SEPARABLE SOLUTIONS OF NON-LINEAR WAVE-EQUATIONS. PHYSICS LETTERS A, vol. 83(7), 311-313. link> doi>
  • Osborne AD. 1980. On the separability of the sine-Gordon equation and similar quasilinear partial differential equations II. Dependent and independent variable transformations. Journal of Mathematical Physics, vol. 21, 726-734.
  • Osborne AD. 1980. Separable solutions of the sine-Gordon equation in terms of a Painleve transcendent. Physics Letters Section A: General, Atomic and Solid State Physics, vol. 76, 5-7.
  • Osborne AD. 1978. On the separability of the sine-Gordon equation and similar quasilinear partial differential equations. Journal of Matehatical Physics, vol. 19, 1573-1579.
  • Osborne AD. 1978. Separable solutions of the two-dimensional sine-Gordon equation. Physics Letters Section A: General, Atomic and Solid State Physics, vol. 67, 328-330.

Chapters

  • Osborne AD and Pope NV. 2005. Further Developments. In Immediate distant action and correlation in modern physics. Pope NV, Osborne AD, Winfield AFT (Eds.). Edwin Mellen Pr.
  • Osborne AD. 2005. The Pope-Osborne Angular Momentum Synthesis. In Immediate distant action and correlation in modern physics. Pope NV, Osborne AD, Winfield AFT (Eds.). Edwin Mellen Pr.
  • Osborne AD. 2005. Towards a Consensus. In Immediate distant action and correlation in modern physics. Pope NV, Osborne AD, Winfield AFT (Eds.). Edwin Mellen Pr.

MAT-20029 Analysis II
MAT-30005 Relativity
MAT-30010 Complex Variable II
MAT-40011 Analytic Functions

This academic year, I am responsible for overseeing the undergraduate examinations process in the Computing Division and will chair the Computing examination boards.

Senior Tutor