Advanced Calculus: An Introduction to Linear Analysis by Leonard F. Richardson (
by Leonard F. Richardson
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Advanced Calculus by Leonard F. Richardson Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description - Advanced Calculus highlights the connections between calculus and linear algebra in an effort to prepare readers for more advanced mathematical topics. - Gradually guides the reader from the study of topology of the real line to the beginning theorems and concepts of graduate analysis, expressed from a modern viewpoint. Publisher Description 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. Part Two covers Fourier series and Stieltjes integration, which are advanced one-variable topics. Part Three is dedicated to multivariable advanced calculus, including inverse and implicit function theorems and
- Publisher: Wiley & Sons, Incorporated, John
- Year: 2008
- Binding: Hardcover
- ISBN: 9780470232880
- Condition: Fine
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