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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.
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.
"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
| Erscheinungsjahr: | 2011 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xv
570 S. 205 s/w Illustr. 570 p. 205 illus. |
| ISBN-13: | 9780817682910 |
| ISBN-10: | 0817682910 |
| Sprache: | Englisch |
| Herstellernummer: | 80028548 |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Ponnusamy, Saminathan |
| Hersteller: |
Birkhuser Boston
Birkhäuser Boston |
| Maße: | 241 x 160 x 35 mm |
| Von/Mit: | Saminathan Ponnusamy |
| Erscheinungsdatum: | 16.12.2011 |
| Gewicht: | 1,039 kg |
"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
| Erscheinungsjahr: | 2011 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xv
570 S. 205 s/w Illustr. 570 p. 205 illus. |
| ISBN-13: | 9780817682910 |
| ISBN-10: | 0817682910 |
| Sprache: | Englisch |
| Herstellernummer: | 80028548 |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Ponnusamy, Saminathan |
| Hersteller: |
Birkhuser Boston
Birkhäuser Boston |
| Maße: | 241 x 160 x 35 mm |
| Von/Mit: | Saminathan Ponnusamy |
| Erscheinungsdatum: | 16.12.2011 |
| Gewicht: | 1,039 kg |
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