Saminathan Ponnusamy

Foundations of Mathematical Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

"Questions and Exercises" are provided at the end of each section, covering a broad spectrum of content and various levels of difficulty, and hints are provided for selected exercises

Some of the exercises are routine in nature while others are interesting, instructive, and challenging

Covers a broad spectrum of content with a range of difficulty that would enable students to learn techniques and standard analysis tools

Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, and so on Examines various important applications throughout the book and uses MATHEMATICA and MAPLE to demonstrate various uses of the Fourier series

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 570
• Erscheinungstermin: 17. Dezember 2011
• Englisch
• ISBN-13: 9780817682927
• Artikelnr.: 37348875

Inhaltsangabe

Real Number System.- Sequences: Convergence and Divergence.- Limits, Continuity, and Differentiability.- Applications of Differentiability.- Series: Convergence and Divergence.- Definite and Indefinite Integrals.- Improper Integrals and Applications of Riemann Integrals.- Power Series.- Uniform Convergence of Sequences of Functions.- Fourier Series and Applications.- Functions of Bounded Variation and Riemann-Stieltjes Integrals.- References.- Index of Special Notations.- Hints for Selected Questions and Exercises.- Index.

Rezensionen

From the reviews: "The book is intended for undergraduate students and beginning graduate students of mathematics. It can be used in the classroom or as a self-study guide. ... The text is organized in a classical way, each section is followed by a set of questions that stimulate the reader to think about the deeper nature of definitions or the background of theorems and exercises, which vary from routine to simple proofs." (Vladimír JaniS, Zentralblatt MATH, Vol. 1236, 2012)