Advanced Calculus - An Introduction to Linear Analysis (True PDF)

Advanced Calculus: An Introduction to Linear Analysis (True PDF)
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English | PDF | 2008 | 400 Pages | ISBN : 0470232889 | 118.46 MB

Features an introduction to advanced calculus and highlights its inherent concepts from linear algebra
Advanced Calculus reflects the unifying role of linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the development of complete theorem-proving skills through abundant exercises while also promoting a sound approach to the study. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis.
Following an introduction dedicated to writing proofs, the book is divided into three parts

Part One explores foundational one-variable calculus topics from the viewpoint of linear spaces, norms, completeness, and linear functionals.