Elementary Calculus

Content: 
Academic Press Textbooks in Mathematics, Page ii
Front Matter, Page iii
Copyright, Page iv
Foreword, Page v
Preface, Pages vii-ix
List of Abbreviations and Symbols, Page x
CHAPTER I - Numbers, Pages 1-13
CHAPTER II - Functions, Pages 14-33
CHAPTER III - Basic Ideas and Problems of the Calculus, Pages 34-40
CHAPTER IV - Limits and Continuity, Pages 41-69
CHAPTER V - Derivatives, Pages 70-93
CHAPTER VI - Differentiation of Composite, Inverse, and Implicitly Defined Functions, Pages 94-117
CHAPTER VII - Geometrical Applications of Derivatives, Pages 118-140
CHAPTER VIII - Physical and Other Applications of Derivatives, Pages 141-168
CHAPTER IX - Integration, Pages 169-188
CHAPTER X - Logarithmic, Exponential, and Power Functions, Pages 189-207
CHAPTER XI - Primitives, Pages 208-240
CHAPTER XII - Geometrical Applications of Integrals, Pages 241-270
CHAPTER XIII - Simple Differential Equations, Pages 271-292
APPENDIX I - Relations as Sets of Ordered Couples, Pages 293-296
APPENDIX II - Proofs of Theorems on Limits (IV, §3) and of the Mean Value Theorem (VII, §2), Pages 297-301
APPENDIX III - Infinite Series, Pages 302-305
APPENDIX IV - Partial Derivatives, Pages 306-312
APPENDIX V - Approximate Integration, Pages 313-317
APPENDIX VI - Duhamel's Principle, Page 318
APPENDIX VII - The Σ-Notation, Pages 319-320
Books for Further Reading and Reference, Page 321
ANSWERS, Pages 322-331
Index, Pages 333-335