Publisher Description

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Flap

At the beginning of World War II, the United States and Mexico launched the bracero program, a series of labor agreements that brought Mexican men to work temporarily in U.S. agricultural fields. In Braceros , historian Deborah Cohen asks why these migrants provoked so much concern and anxiety in the United States and what the Mexican government expected to gain in participating in the program. Cohen creatively links the often unconnected themes of exploitation, development, the rise of consumer cultures, and gendered class and race formation to show why those with connections beyond the nation have historically provoked suspicion, anxiety, and retaliatory political policies.

Table of Contents

I. Introduction Part 1. Historical Introduction Part 2. Some Basic Concepts of the theory of sets Part 3. A set of Axioms  for the Real-Number System Part 4. Mathematical Induction, Summation Notation,and Related Topics 1. The Concepts of Integral Calculus 2. Some Applications of Integration 3. Continuous Functions 4. Differential Calculus 5. The Relation Between Integration and Differentiation 6. The Logarithm,the Exponential,and the Inverse Trigonmetric Functions 7. Polynomial Approximations to Functions 8. Introduction to Differential Equations 9. Complex Numbers 10. Sequences, Infinite Series, Improper Integrals 11. Sequences and Series of functions 12. Vector algebra 13. Applications of Vector Algebra to Analytic Geometry 14. Calculus of Vector Valued Functions 15. Linear Spaces 16. Linear Transformations and Matrices Answers to exercises 617 Index 657

Details