Title
Introductory Real Analysis (Dover Books On Mathematics)
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This Volume In Richard Silverman'S Exceptional Series Of Translations Of Russian Works In The Mathematical Science Is A Comprehensive, Elementary Introduction To Real And Functional Analysis By Two Faculty Members From Moscow University. It Is Selfcontained, Evenly Paced, Eminently Readable, And Readily Accessible To Those With Adequate Preparation In Advanced Calculus.The First Four Chapters Present Basic Concepts And Introductory Principles In Set Theory, Metric Spaces, Topological Spaces, And Linear Spaces. The Next Two Chapters Consider Linear Functionals And Linear Operators, With Detailed Discussions Of Continuous Linear Functionals, The Conjugate Space, The Weak Topology And Weak Convergence, Generalized Functions, Basic Concepts Of Linear Operators, Inverse And Adjoint Operators, And Completely Continuous Operators. The Final Four Chapters Cover Measure, Integration, Differentiation, And More On Integration. Special Attention Is Here Given To The Lebesque Integral, Fubini'S Theorem, And The Stieltjes Integral. Each Individual Section There Are 37 In All Is Equipped With A Problem Set, Making A Total Of Some 350 Problems, All Carefully Selected And Matched.With These Problems And The Clear Exposition, This Book Is Useful For Selfstudy Or For The Classroom It Is Basic Oneyear Course In Real Analysis. Dr. Silverman Is A Former Member Of The Institute Of Mathematical Sciences Of New York University And The Lincoln Library Of M.I.T. Along With His Translation, He Has Revised The Text With Numerous Pedagogical And Mathematical Improvements And Restyled The Language So That It Is Even More Readable.
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- Q: How many pages does the book have? A: This book has four hundred sixteen pages. It is a comprehensive resource for those studying real analysis.
- Q: What is the binding type of this book? A: The book is paperback bound. This makes it lightweight and easy to handle for reading and study.
- Q: What are the dimensions of the book? A: The book measures five point seventy-five inches in length, one inch in width, and eight point five inches in height. These dimensions make it portable and easy to store.
- Q: What topics does this book cover? A: The book covers real and functional analysis, including set theory, metric spaces, and linear operators. It provides a thorough foundation for students.
- Q: Who is the author of this book? A: The author is A. N. Kolmogorov. He is a renowned mathematician known for his significant contributions to probability and real analysis.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners with adequate preparation in advanced calculus. It offers a clear and accessible introduction to real analysis.
- Q: What type of problems are included in the book? A: The book includes three hundred fifty problems throughout its sections. These problems are designed to reinforce the concepts discussed.
- Q: Can I use this book for self-study? A: Yes, this book is ideal for self-study. It is structured with clear explanations and problem sets to facilitate independent learning.
- Q: Is this book appropriate for use in a classroom setting? A: Yes, it is appropriate for classroom use. The book’s structured content and problem sets make it a great resource for educators.
- Q: How should I care for this book? A: To care for this book, keep it in a dry place and avoid exposing it to direct sunlight. This will help maintain its condition over time.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Most sellers have policies in place for such issues.
- Q: Is there a warranty for this book? A: No, books typically do not come with a warranty. However, you can check the return policy of the seller for any issues.
- Q: Are there any specific editions of this book? A: This book is part of the Dover Books on Mathematics series. It is a well-regarded edition among mathematics enthusiasts.
- Q: What kind of mathematical concepts does the book emphasize? A: The book emphasizes concepts such as measure, integration, and differentiation. These are vital topics in real analysis.
- Q: Is this book recommended for advanced studies? A: While it's primarily for beginners, the depth of content can also benefit those pursuing advanced studies in mathematics.