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Invitation to Classical Analysis (Pure and Applied Undergraduate Texts) by Peter L. Duren is a nonfiction available to read on EtoBox.
What is Invitation to Classical Analysis (Pure and Applied Undergraduate Texts) about?
<p>This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration.</p> <p>Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hypergeometric functions, and Sturm comparison theory. Preliminary chapters offer rapid reviews of basic principles and further background material such as infinite products and commonly applied inequalities.</p> <p>This book is designed for individual study but can also serve as a text for second-semester courses in advanced calculus. Each chapter concludes with an abundance of exercises. Historical notes discuss the evolution of mathematical ideas and their relevance to physical applicat
Who reads Invitation to Classical Analysis (Pure and Applied Undergraduate Texts)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Peter L. Duren
- Publisher
- American Mathematical Society
- Published
- 2012
- Language
- EN
- ISBN
- 9780821869321
- Category
- nonfiction
- Subjects
- Mathematics, Stem
- Updated
- 2026-03-24
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