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

SI PREFIXES AND SYMBOLS FOR NTH POWERS OF 10

APPENDIX 2 ... 256

SOME TRIGONOMETRY

APPENDIX 3 ... 262

DERIVATIVES OF SELECTED FUNCTIONS

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 for undergraduate courses in chemistry and biochemistry.
The scope of the book is designed primarily to underpin the needs of first year students, but also covers all the material needed throughout an undergraduate course in clear and accessible terms the book sets out the progression of carefully co-ordinated topics, fully supported by worked examples and problems at the point of need.
Features:

  • Applies mathematical theory specifically to the chemist's needs.
  • Many of the problems linked to material found in widely-used physical chemistry texts.
  • Suitable for both elementary and more advanced study.
  • Useful appendices contain summaries of the properties of trigonometrical functions and derivatives and integrals of selected standard functions.
  • Each chapter is a self-contained unit.

    R$ 59,40

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