THE AUTHOR PRESENTS A DETAILED ANALYSIS OF THE ROLE OF
MATHEMATICS IN THE DEVELOPMENT OF THEORETICAL
PHYSICS .THIS RANGES OVER THE SIGNIFICANT ROLES PLAYED
BY SCHOLARS FROM THE EARLY GREEK MASTERS ,THROUGH
THE LATER EUROPEAN CENTURIES -VIA MASTERS SUCH AS
GALILEO ,KEPLER ,NEWTON ,LEIBNITZ ,HAMILTON , LAGRANGE ...LORENTZ /EINSTEIN ,PLANCK ,BOHR , HEISENBERG ,DIRAC ...AND OTHERS WHO HAVE PLAYED A
MAJOR PART IN THE TWENTIETH CENTURY .
MATHEMATICS IS A TOWERING LANGUAGE IN ITS OWN RIGHT ,
BUT HAS OFTEN FOUND INSPIRATION FROM THE NEED TO
CREATE MODELS FOR THEORETICAL PHYSICS ,USUALLY WITH
IMPRESSIVE RESULTS .THIS ANALYSIS EXPLORES THE
MATHEMATICAL LANGUAGES -WHICH HAVE BEEN USED -WHICH
MIGHT HAVE BEEN USED -AND MAY YET BE USED .
SCHOLARS WHO ARE INTERESTED IN ANY ASPECT OF
MATHEMATICS AND ITS APPLICATIONS -SUCH AS THE HISTORY
AND PHILOSOPHY OF SUCH SUBJECTS -WILL FIND IT A VALUABLE
REFERENCE ,AND GRADUATE STUDENTS MAY FIND IT A SOURCE
OF PROJECTS CRYING OUT FOR FURTHER RESEARCH .