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This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. The book is built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important four-C s: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory. The treatment is modern and aesthetically pleasing. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.
Subject categories
- Academic > Mathematics > Theory of functions > Functions of complex variables
- Academic > Mathematics > Theory of functions > Functions of real variables
- Academic > Mathematics > General > Mathematics
- Academic > Mathematics > General > Geometry; Early works to 1800
- Academic > Mathematics > Analysis
- Mathematics
ISBNs
1461452570
9781461452560
9781461452577