Elementary Calculus: an Infinitesimal Approach

Mineola, NY: Dover Publications, 2012. 3rd ed., Dover ed. Octavo with purple and white glossy wraps; xix, 913, 65 pages: illustrations; index; 26 cm As new (unread) and about fine wthslightest edgewear to wraps; pages clean and bright and binding tight. Paperback. ISBN: 9780486484525, 0486484521

This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition.Contents: Introduction 1. Real and Hyperreal Numbers 2. Differentiation 3. Continous Functions 4. Integration 5. Limits, Analytic Geometry, and Approximations 6. Applications of the Integral 7. Trigonometric Functions 8. Exponential and Logarithmic Functions 9. Infinite Series 10. Vectors 11. Partial Differentiation 12. Multiple Integrals 13. Vector Calculus 14. Differential Equations Epilogue Appendix: Tables Answers to Selected Problems Index. Notes: "This Dover edition, first published in 2012, is the first publication in book form of the Third Edition of the work originally published in 1976 by Prindle, Weber, and Schmidt, Boston.". Includes index.