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Mathematics for Physical Chemistry Robert G. Mortimer,1999 This is the ideal textbook for those students who want to sharpen their mathematics skills while they are enrolled in a physical chemistry course It provides students with a review of calculus and differential equations which will enable them to succeed in the physical chemistry course ...
1. Orientation: what is physical chemistry about? Part One. Quantum mechanics and spectroscopy. Part Two. Thermodynamics. Part Three. Kinetics. Appendix A. Standard thermodynamic properties at 298.15 K and 1 bar. Appendix B. Standard reduction potentials at 298.15 K and 1 bar. Appendix C. Physical properties of water. Appendix D.
Differential Calculus finds Function .2/ from Function .1/. We recover the speedometer information from knowing the trip distance at all times. Integral Calculus goes the other way. The “integral” adds up small pieces, to get the total distance traveled. That integration brings back Function .1/.
Integral Calculus provides methods for calculating the total effect of such changes, under the given conditions. The phrase rate of change mentioned above stands for the actual rate of
integration. We explain how it is done in principle, and then how it is done in practice. Integration is a problem of adding up infinitely many things, each of which is infinitesimally small. Doing the addition is not recommended. The whole point of calculus is to offer a better way. The problem of integration is to find a limit of sums.
One of the interesting applications of the definite integrals is to determine volumes of the revolution solids. In this section, we study three methods to evaluate the volumes of the revolution solids known as disk method, washer method and method of cylindrical shells.
Integral Calculus In this chapter we introduce the two basic notions of calculus: the notion of derivative and the one of integral; we shall then discuss a few simple but relevant results such as Fermat's and Lagrange's theorems, the inte grability of bounded continuous and bounded monotonic functions, and the
