Elementary Calculus
Published on 27. April 2012
Book
Paperback/Softback
1008 pages
978-0-486-48452-5 (ISBN)
Description
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
More details
Language
English
Place of publication
United States
Dimensions
Height: 254 mm
Width: 175 mm
Thickness: 50 mm
Weight
1420 gr
ISBN-13
978-0-486-48452-5 (9780486484525)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
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
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