| Titre : |
Real Analysis : B.A/B.Sc. students |
| Type de document : |
texte imprimé |
| Auteurs : |
N.P. BALI, Auteur |
| Editeur : |
Laxmi publications(p) LTD |
| Année de publication : |
2005 |
| Importance : |
808 p. |
| Format : |
25 cm. |
| Langues : |
Anglais (eng) |
| Catégories : |
MATHÉMATIQUES:Analyse
|
| Index. décimale : |
04-02 Analyse |
| Résumé : |
The book provides a fairly rigorous introduction to real analysis and a thorough understanding of the fundamental principles. The language of the book is simple and easy to understand. Each topic has been presented in a systematic, simple, lucid and exhaustive manner. A large number of typical and important examples selected from various university question papers, have been provided for a clear grasp of the subject. Special features of the book are the notes, remarks and cautions added here and there for a better understanding of the subject. Chapter 1 on `Sets and Functions` provides an essential pre-requisite for further chapters. The chapters on `Arbitrary Series and Infinite Products`, `Sequences and Series of Functions` and `Improper Integrals` distinguish the book from most of the other books available on the subject. The book covers the entire syllabus for the Honours students and will be found very helpful for competitive examinations. Contents: 1. Sets and Functions 2. Countability of Sets and the Real Number System 3. Topology of Real Numbers 4. Sequences 5. Infinite Series 6. Limit and Continuity of Functions 7. The Derivative and Mean Value Theorems 8. Arbitrary Series and Infinite Products 9. Riemann Integration 10. Sequences and Series of Functions 11. Improper Integrals 12. Beta and Gamma Functions 13. Differentiation Under the Integral Sign 14. Indeterminate Forms 15. Maxima and Minima Printed Pages: 835. Bookseller Inventory # 61666
Table des matières
Chapter Page 1 Sets and Functions
1
Countability of Sets and the Real Number System
34
Topology of Real Numbers
68
Sequences
108
Infinite Series
189
Limit and Continuity of Functions
323
The Derivative and Mean Value Theorems
394
Arbitrary Series and Infinite Products
457
Riemann Integration
533
Sequences and Series of Functions
591
Improper Integrals
648
Beta and Gamma Functions
719
Differentiation Under the Integral Sign
754
Indeterminate Forms
780
Maxima and Minima
800
Droits d'auteur |
Real Analysis : B.A/B.Sc. students [texte imprimé] / N.P. BALI, Auteur . - Laxmi publications(p) LTD, 2005 . - 808 p. ; 25 cm. Langues : Anglais ( eng)
| Catégories : |
MATHÉMATIQUES:Analyse
|
| Index. décimale : |
04-02 Analyse |
| Résumé : |
The book provides a fairly rigorous introduction to real analysis and a thorough understanding of the fundamental principles. The language of the book is simple and easy to understand. Each topic has been presented in a systematic, simple, lucid and exhaustive manner. A large number of typical and important examples selected from various university question papers, have been provided for a clear grasp of the subject. Special features of the book are the notes, remarks and cautions added here and there for a better understanding of the subject. Chapter 1 on `Sets and Functions` provides an essential pre-requisite for further chapters. The chapters on `Arbitrary Series and Infinite Products`, `Sequences and Series of Functions` and `Improper Integrals` distinguish the book from most of the other books available on the subject. The book covers the entire syllabus for the Honours students and will be found very helpful for competitive examinations. Contents: 1. Sets and Functions 2. Countability of Sets and the Real Number System 3. Topology of Real Numbers 4. Sequences 5. Infinite Series 6. Limit and Continuity of Functions 7. The Derivative and Mean Value Theorems 8. Arbitrary Series and Infinite Products 9. Riemann Integration 10. Sequences and Series of Functions 11. Improper Integrals 12. Beta and Gamma Functions 13. Differentiation Under the Integral Sign 14. Indeterminate Forms 15. Maxima and Minima Printed Pages: 835. Bookseller Inventory # 61666
Table des matières
Chapter Page 1 Sets and Functions
1
Countability of Sets and the Real Number System
34
Topology of Real Numbers
68
Sequences
108
Infinite Series
189
Limit and Continuity of Functions
323
The Derivative and Mean Value Theorems
394
Arbitrary Series and Infinite Products
457
Riemann Integration
533
Sequences and Series of Functions
591
Improper Integrals
648
Beta and Gamma Functions
719
Differentiation Under the Integral Sign
754
Indeterminate Forms
780
Maxima and Minima
800
Droits d'auteur |
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