Foundations of Mathematical Analysis
Seiten
2011
|
2012
Birkhauser Boston Inc (Verlag)
978-0-8176-8291-0 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-8291-0 (ISBN)
Aimed at students requiring a fundamental introduction to mathematical analysis, this text is suitable for self-study and covers key topics from convergence to the Riemann integral. Exercises, illustrations and examples throughout bring the subjects alive.
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.
This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts.
Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.
This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts.
Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
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.
| Zusatzinfo | 205 Illustrations, black and white; XV, 570 p. 205 illus. |
|---|---|
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-8176-8291-0 / 0817682910 |
| ISBN-13 | 978-0-8176-8291-0 / 9780817682910 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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