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Artikelnr.:
47409308
Fundamentals of Mathematical Analysis
Artikelnr.:
47409308
ANG 265
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Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology
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Wat opvalt
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.
Productdetails
- 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) |
Voor wie is dit geschikt?
-
Mathematics Students
Ideal for undergraduate students pursuing degrees in mathematics or related fields requiring a solid foundation in analysis.
-
Self-Learners
Great for individuals teaching themselves mathematical analysis and seeking structured content and rigorous explanations.
-
Educators
Useful for instructors looking to supplement their teaching materials with comprehensive explanations and examples in analysis.
-
Beginners
Not suitable for absolute beginners in mathematics who lack prior exposure to basic mathematical concepts and terminology.
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Fundamentals of Mathematical Analysis
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What are the prerequisites for studying Fundamentals of Mathematical Analysis?
antwoord: The prerequisites for studying Fundamentals of Mathematical Analysis are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity. -
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What kind of course is Fundamentals of Mathematical Analysis suitable for?
antwoord: Fundamentals of Mathematical Analysis is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. -
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What can I expect from the writing style of Fundamentals of Mathematical Analysis?
antwoord: The writing style of Fundamentals of Mathematical Analysis is clear and concise with detailed proofs, and it is designed as an accessible classical introduction to the subject with excellent breadth and depth and an abundance of examples and exercises.
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- Comprehensive coverage of topics
- Strong emphasis on problem-solving
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- Well-organized structure and flow
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ANG 265
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Kenmerken en voordelen
- 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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