Krishna's Textbook on Real Analysis: A Comprehensive Guide for Higher-Level Mathematics
Welcome to the world of real analysis, an essential branch of mathematics that explores the intricacies of real numbers, their properties, and their applications. If you seek a comprehensive guide to navigate this fascinating subject, look no further than Krishna's Textbook on Real Analysis. This exceptional book, spanning 268 pages, is designed to equip students with a profound understanding of the foundations, theorems, and applications of real analysis.
About the Author
The author of this esteemed textbook, Dr. V. Krishna, is a renowned mathematician and educator with decades of experience in teaching and research. His expertise in real analysis shines through in the clarity and rigor of his writing, making this textbook an invaluable resource for students pursuing higher-level mathematics.
4.6 out of 5
Language | : | English |
File size | : | 5330 KB |
Screen Reader | : | Supported |
Print length | : | 10 pages |
Lending | : | Enabled |
Key Features
Krishna's Textbook on Real Analysis sets itself apart with a plethora of features that enhance the learning experience:
- Clear and Concise Explanations: Concepts are presented with exceptional clarity, providing a solid foundation for understanding real analysis.
- Rigorous Proofs: Theorems are meticulously proven, offering students a deep insight into the logical underpinnings of real analysis.
- Abundant Examples: Numerous examples illustrate the practical application of concepts, solidifying understanding.
- Exercises and Solutions: Thought-provoking exercises challenge students to apply their knowledge, with detailed solutions provided for practice.
- Comprehensive Coverage: The textbook covers a vast array of topics in real analysis, ensuring a well-rounded understanding.
Content Overview
Krishna's Textbook on Real Analysis is structured into three comprehensive sections:
1. Foundations
This section lays the groundwork for real analysis by delving into the fundamental concepts of sets, functions, and sequences. Key topics include:
- Set theory and operations
- Functions and their properties
- Sequences and their convergence
- Limits and continuity
2. Advanced Concepts
Building upon the foundational knowledge, this section explores advanced topics in real analysis, such as:
- Differentiation and integration
- Measure theory
- Banach spaces
- Hilbert spaces
3. Applications
The final section showcases the practical applications of real analysis in various disciplines, including:
- Probability theory
- Mathematical physics
- Economics
- Computer science
Target Audience
Krishna's Textbook on Real Analysis is designed for students pursuing higher-level mathematics, such as:
- Undergraduate mathematics majors
- Graduate students in mathematics
- Researchers in related fields
, Krishna's Textbook on Real Analysis is an indispensable resource for students and researchers seeking a comprehensive understanding of this foundational branch of mathematics. The clarity of explanations, rigor of proofs, and abundance of examples make this textbook a valuable asset for anyone delving into the intricacies of real analysis.
Additional Information
Edition: 1st Edition Pages: 268 Code: 1028 : 978-1234567890
4.6 out of 5
Language | : | English |
File size | : | 5330 KB |
Screen Reader | : | Supported |
Print length | : | 10 pages |
Lending | : | Enabled |
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4.6 out of 5
Language | : | English |
File size | : | 5330 KB |
Screen Reader | : | Supported |
Print length | : | 10 pages |
Lending | : | Enabled |