This self-contained work on linear and metric structures focuses on
studying continuity and its applications to finite- and
infinite-dimensional spaces. It motivates the study of linear and metric
structures with examples, observations, exercises, and numerous
beautiful illustrations. It also includes applications to geometry and
differential equations, historical notes and a comprehensive index. The
book may be used in the classroom setting or for self-study by advanced
undergraduate and graduate students and as a valuable reference for
researchers in mathematics, physics, and engineering. This book builds
upon the discussion in the authors' previously published books to
provide the reader with a strong foundation in modern-day analysis.