Contents:INTRODUCTION 1 - NUMBERS, SYMBOLS AND RULES ... 1 2 - FUNCTIONS OF A SINGLE VARIABLE ... 2 3 - LIMITS, SMALL STEPS AND SMOOTHNESS ... 37 4 - RATES OF CHANGE AND DIFFERENTIATION ... 45 5 - DIFFERENTIALS- SMALL AND NOT SO SMALL CHANGES ... 64 6 - INTEGRATION- UNDOING THE EFFECTS OF DIFFERENTIATION ... 76 7 - POWER SERIES: A NEW LOOK AT FUNCTIONS ... 101 8 - COMPLEX NUMBERS REVISITED ... 116 9 - THE SOLUTION OF SIMPLE DIFFERENTIAL EQUATIONS- THE NUTS AND BOLTS OF KINETICS ... 126 10 - FUNCTIONS OF TWO OR MORE VARIABLES- DIFFERENTIATION REVISITED ... 145 11 - MULTIPLE INTEGRALS- INTEGRATING FUNCTIONS OF SEVERAL VARIABLES ... 160 12 - STATISTIC ... 171 13 - MATRICES- A USEFUL TOOL AND A FORM OF MATHEMATICAL SHORTHAND ... 188 14 - DETERMINANTS - FUNCTION REVISITED AND A NEW NOTATION ... 206 15 - VECTORS- A FORMALISM FOR DIRECTIONAL PROPERTIES ... 219 16 - THE EIGENVALUE PROBLEM- AN IMPORTANT LINK BETWEEN THEORY AND EXPERIMENT ... 236 17 - CURVE FITTING- VECTORS REVISITED ... 245 REFERENCES ... 252
APPENDIX 1 ... 255
APPENDIX 2 ... 256
APPENDIX 3 ... 262 ANSWERS TO PROBLEMS ... 263 INDEX |
MATHEMATICS FOR CHEMISTRY, 1995. 286 p.G. DOGGETT & B. T. SUTCLIFFE
Mathematics for Chemistry is written by chemists for chemists to provide
a comprehensive guide to the mathematical theory and practice required
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