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Item #:
47409308
Fundamentals of Mathematical Analysis
88% of respondents would recommend this to a friend
Item #:
47409308
€ 167
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Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology
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What Stands Out
Comprehensive Coverage
Covers essential topics in mathematical analysis, including sequences, series, and continuity, providing a thorough understanding for students and professionals.
Clear Explanations
Offers clear, concise explanations and examples that enhance comprehension, making complex concepts accessible for learners at various levels.
Practical Applications
Integrates real-world applications throughout the text, demonstrating the relevance of mathematical analysis in various fields, helping students relate theory to practice.
Product Details
- Covers real and functional analysis with a focus on topology
- Includes background information on real and complex number fields and set theory
- Rigorous treatment of vector spaces
- Extensive study of metric spaces with applications
- Introduction to general topology and classical treatment of Banach and Hilbert spaces
- Deep account of measure and integration theories
| Publisher | Oxford University Press |
| Publication date | May 9, 2021 |
| Language | English |
| Print length | 480 pages |
| ISBN-10 | 0198868782 |
| ISBN-13 | 978-0198868781 |
| Item Weight | 2 pounds (910 grams) |
| Dimensions | 9.5 x 1.1 x 6.3 inches (24.1 x 2.8 x 16 cm) |
Who Should Buy?
-
Mathematics Students
Ideal for undergraduate students pursuing degrees in mathematics or related fields requiring a solid foundation in analysis.
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Self-Learners
Great for individuals teaching themselves mathematical analysis and seeking structured content and rigorous explanations.
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Educators
Useful for instructors looking to supplement their teaching materials with comprehensive explanations and examples in analysis.
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Beginners
Not suitable for absolute beginners in mathematics who lack prior exposure to basic mathematical concepts and terminology.
Product Description
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Product Buying Guide
The Fundamentals of Mathematical Analysis is a comprehensive textbook that covers real and functional analysis with a focus on topology. It provides a rigorous treatment of key mathematical concepts and is suitable for a two-semester course on analysis. The book aims to offer an accessible introduction to the subject, with clear explanations and a wealth of examples and exercises. Whether you're a student looking to deepen your understanding of mathematical analysis or an instructor designing a course in topology or real analysis, this textbook has you covered.
Product Specifications
- Real and functional analysis with a substantial component on topology
- Background information on the real and complex number fields
- Introduction to set theory
- Rigorous treatment of vector spaces
- Extensive study of metric spaces including completeness, compactness, and function spaces
- Introduction to general topology
- Classical treatment of Banach and Hilbert spaces
- Elements of operator theory
- Deep account of measure and integration theory
- Suitable for a two-semester course on analysis
- Can be used to design one-semester courses on topology or real analysis
- Breadth and depth with numerous examples and exercises
- Clear and concise writing style
- Prerequisites: undergraduate courses in real analysis and linear algebra
Key Features
- Comprehensive coverage of real and functional analysis with a focus on topology
- Thorough treatment of key mathematical concepts including metric spaces, completeness, and compactness
- Introduction to general topology and classical treatment of Banach and Hilbert spaces
- In-depth exploration of measure and integration theory
- Clear and concise writing style with detailed proofs
- Abundance of examples and exercises for practice
Usage Scenarios
- Students seeking a comprehensive textbook on real and functional analysis with a focus on topology
- Instructors designing courses on topology or real analysis
- Individuals looking to deepen their understanding of mathematical analysis
- Those with a background in undergraduate real analysis and linear algebra seeking to further their mathematical knowledge
Buying Considerations
- Ensure that you have a solid understanding of undergraduate real analysis and linear algebra before diving into this textbook
- Consider your specific needs and whether a comprehensive two-semester course or a one-semester course on a specific topic is more suitable for you
- Take advantage of the extensive examples and exercises provided in the book to reinforce your understanding and practice problem-solving
- Evaluate whether the clear and concise writing style aligns with your preferred learning approach
Conclusion
The Fundamentals of Mathematical Analysis is a highly recommended textbook for anyone looking to delve into real and functional analysis with a focus on topology. With its comprehensive coverage, clear writing style, and abundance of examples and exercises, it offers a valuable resource for students, instructors, and individuals seeking to deepen their mathematical knowledge.
View LessThe Fundamentals of Mathematical Analysis is a comprehensive textbook that covers real and functional analysis with a focus on topology. It provides a rigorous treatment of key mathematical concepts and is suitable for a two-semester course on analysis. The book aims to offer an accessible introduction to the subject, with clear explanations and a wealth of examples and exercises. Whether you're a student looking to deepen your understanding of mathematical analysis or an instructor designing a course in topology or real analysis, this textbook has you covered. Continue Reading
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Topology Editorial Review
Fundamentals of Mathematical Analysis is a comprehensive textbook published by Oxford University Press on May 9, 2021. With a hefty print length of 480 pages, this book serves as a foundational tool for students delving into mathematical analysis. The clear organization and thorough explanations are well-received by readers, as many praise its ability to simplify complex concepts. The text is available in English and carries an ISBN of 978-0198868781, making it easy for scholars to reference. Overall, it stands out for its educational value and extensive coverage of mathematical principles.
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Pros
- Comprehensive coverage of mathematical concepts
- Published by a reputable publisher
- Easy to understand for students
- Clear organization throughout the book
- Suitable for self-study or courses
Cons
- Some readers may find it lengthy for quick reference
Product Price History
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€ 167
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Features & Benefits
- An extensive study of metric spaces including completeness, compactness and function spaces
- A classical treatment of Banach and Hilbert spaces with an introduction to general topology and operator theory
- Designed as an accessible classical introduction to the subject with detailed proofs and clear, concise writing style
- Suitable for a two-semester course on analysis with material to design one-semester courses on topology or real analysis
- Assumes prerequisites of a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity
- Aims to achieve excellent breadth and depth with an abundance of examples and exercises
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