James Clerk Maxwell
James Maxwell was one of the most prolific mathematicians of his time. He made huge leaps in applied mathematics with his creation of four differential equations to describe the relationships of electricity and magnetism. These equations form the basis for our wireless technologies. Maxwell is known first and foremost as a physicist, yet it is his application of mathematical equations to explain complicated physical events which has helped define the universe as we understand it today. He not only extended the field of mathematics through his four main equations, but he also invented a totally new factor, the curl, which is used in vector calculus. Furthermore Maxwell is also the inventor of equations of thermodynamics and the kinetic theory of gases which are still used today. James Clerk Maxwell was born in Edinburgh Scotland on June 13, 1831. Maxwell was born with a natural curiosity that stayed with him through out his life; this is easily seen through a letter written by Maxwell's father speaking about him at the age of three. He is a very happy man, and has improved much since the weather got moderate ; he has great work with doors, locks, keys etc., and "Show me how it doos'" is never out of his mouth. He also inve
where c is the speed of light in vacuum and by definition The continuity equation follows from Maxwell's equations and expresses the conservation of electric charge. Philosophically, this theory meant a change from a concept of certainty - heat seen as moving from hot to cold -to one of statistics - molecules at high temperature have only a high probability of moving toward those at low temperature. The relations between and , and between and , are called constitutive equations; they describe the medium. The potentials are not unique, since any gauge transformation leaves the physical fields and unchanged, being an arbitrary function. So, (32a, b, c)We obtain another similar equation from the Gibbs free energy, (33)which becomes, using Equations 16a and 16b, (34a, b, c)There are two more Maxwell's equations from dU and dH, but these are not as useful as the ones just derived. Also in developing these equations and the theories that went along with them, Maxwell pointed the way to the very existence of the spectrum of electro-magnetic radiation. (6, 3) These four equations allowed mathematicians and physicists alike to put a quantitative measurement on all forms of light. First Application of a Maxwell's Equation As our first application of a Maxwell's equation we will derive the so-called thermodynamic equation of state which we stated without proof earlier. (3) By the age of 16 Maxwell had already distinguished himself in some of the most difficult classes in mathematics being taught at the University of Edinburgh. Maxwell taught at Trinity College after his graduation. He made fundamental contributions to the field of thermodynamics with his equations known as the "Maxwell relations". THIS CHANGE IN THE CONCEPTION OF REALITY IS THE MOST PROFOUND AND THE MOST FRUITFUL THAT PHYSICS HAS EXPERIENCED SINCE THE TIME OF NEWTON" ALBERT EINSTEIN "FROM A LONG VIEW OF THE HISTORY OF MANKIND - SEEN FROM, SAY, TEN THOUSAND YEARS FROM NOW - THERE CAN BE LITTLE DOUBT THAT THE MOST SIGNIFICANT EVENT OF THE 19TH CENTURY WILL BE JUDGED AS MAXWELL'S DISCOVERY OF THE LAWS OF ELECTRODYNAMICS" RICHARD P FEYNMAN "MAXWELL'S IMPORTANCE IN THE HISTORY OF SCIENTIFIC THOUGHT IS COMPARABLE TO EINSTEIN'S (WHOM HE INSPIRED) AND TO NEWTON'S (WHOSE INFLUENCE HE CURTAILED)" IVAN TOLSTOY, BIOGRAPHER OF MAXWELL "WE HAVE STRONG REASON TO CONCLUDE THAT LIGHTITSELF - INCLUDING RADIANT HEAT AND OTHER RADIATION, IF ANY - IS AN ELECTROMAGNETIC DISTURBANCE IN THE FORM OF WAVES PROPAGATED THROUGH THE ELECTRO-MAGNETIC FIELD ACCORDINGTO ELECTRO-MAGNETIC LAWS" Maxwell, 1864, before the Royal Society of London in 'A Dynamic Theory of the Electro-Magnetic Field' "THIS PAPER IS THE FIRST POINTER TO THE EXISTENCE OF RADIATION OTHER THAN LIGHT AND HEAT, AND RANKS AS ONE OF THE GREATEST LEAPS EVER ACHIEVED IN HUMAN THOUGHT" PROFESSOR R V JONESMaxwell's Equation of Electrical and Magnetic Lines of Force Maxwell's equations (in macroscopic form and MKSA units) are (Other system units are discussed e. Summary We now have four interesting and useful derivatives of entropy, There are two other derivatives of entropy which might prove useful, (37)The other derivative, will be left to the reader. (1)"THE SPECIAL THEORY OF RELATIVITY OWES ITS ORIGINS TO MAXWELL'S EQUATIONS OF THE ELECTROMAGNETIC FIELD" ALBERT EINSTEIN Yet that was not all that James Maxwell contributed to our society.
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