Salas S.L., Hille E., Etgen G.J. Calculus: One Variable

10th Edition. — Wiley, 2006. — 726 p. — ISBN10: 0470073330.For ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. The book consistently provides clear calculus content to help them master these concepts and understand its relevance to the real world. Throughout the pages, it offers a perfect balance of theory and applications to elevate their mathematical insights. Readers will also find that the book emphasizes both problem-solving skills and real-world applications.Precalculus review
Limits and continuity
The derivative; the process of differentiation
The mean-value theorem; applications of the first and second derivatives
Integration
Some applications of the integral
The transcendental functions
Techniques of integration
Some differential equations
The conic sections; polar coordinates; parametric equations
Sequences; indeterminate forms; improper integrals
Infinite series
Appendixes
Some additional topics
Some additional proofs