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211435190
A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable (A Course in Mathematical Analysis 3
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Item #:
211435190
MVR 1310
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What Stands Out
In-Depth Coverage
This volume offers comprehensive insights into metric and topological spaces, catering to advanced learners seeking to deepen their understanding while bridging theoretical concepts with practical applications.
Vector Function Analysis
Focuses extensively on functions of a vector variable, providing essential tools for tackling complex problems in mathematical analysis, making it ideal for graduate-level students and professionals alike.
Interactive Kindle Edition
As a Kindle edition, it features interactive content, allowing users to easily navigate, highlight, and take notes, enhancing study efficiency and engagement in advanced mathematical topics.
Product Details
- The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.
| Publisher | Cambridge University Press |
| Publication date | January 23, 2014 |
| Edition | 1st |
| Language | English |
| File size | 11.0 MB |
| Screen Reader | Supported |
| Enhanced typesetting | Enabled |
| X-Ray | Not Enabled |
| Word Wise | Not Enabled |
| Print length | 336 pages |
| ISBN-13 | 978-1107347052 |
| Page Flip | Enabled |
| Item Weight | 2.5 lbs (1.13 kg) |
Who Should Buy?
-
Mathematics Students
Ideal for undergraduate and graduate students seeking a comprehensive understanding of metric and topological spaces.
-
Self-Learners
Perfect for learners who prefer studying independently and needing a detailed mathematical analysis resource.
-
Instructors and Educators
Useful for teaching mathematics courses, offering structured lessons on complex concepts and enhanced learning materials.
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Beginner Learners
Not suitable for those new to mathematics without prior knowledge of basic concepts and terminology.
Product Description
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Pros
- Comprehensive coverage of topics
- Clear explanations and examples
- Well-structured and organized
- Helpful for advanced studies
- Strong focus on problem-solving
Cons
- Some concepts may be challenging for beginners.
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MVR 1310
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Features & Benefits
- Comprehensive coverage of real and complex analysis topics.
- Ideal for undergraduate mathematics students in their first two or three years.
- Hundreds of exercises, examples, and applications included.
- Focuses on metric and topological spaces, completeness, and compactness.
- Introduces functions of several variables and differential manifolds.
- Includes detailed proofs of important theorems.
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