Metric Spaces and Functional Spaces : Book Series P-7/24
Language: English
Published by Amazon Digital Services LLC - Kdp Mär 2025, 2025
Series: Book 7 of 24 - Crack CSIR NET & GATE Mathematics: The Ultimate 24-Book Study Guide
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 24.25
Quantity: 2 available
Add to basketItem description from seller
Neuware - This book is crafted to support students preparing for competitive exams like the CSIR NET (JRF) in Mathematical Sciences, with a focus on metric spaces and functional analysis. Each chapter is designed to build a thorough understanding of these foundational topics. Chapter 1: Metric Spaces and Compactness introduces the basics of metric spaces, including distance functions, open and closed sets. It then explores compactness and sequential compactness, culminating in key theorems like Bolzano-Weierstrass and Heine-Borel. Chapter 2: Connectedness and Normed Linear Spaces covers connectedness and path-connectedness, moving to normed linear spaces. It discusses norms, Banach spaces, and completeness, providing a basis for understanding spaces of continuous functions. Chapter 3: Metric Topology and Convergence examines metric topology, focusing on open sets, sequence convergence, and Cauchy sequences. It also addresses the concepts of completeness and the completion of metric spaces. Chapter 4: Normed Linear Spaces and Inner Product Spaces explores properties of normed linear spaces and inner product spaces, introducing the Riesz representation theorem, which connects linear functionals with inner product spaces. Chapter 5: Normed Linear Spaces and Compactness discusses compact operators and their properties, including the compactness of integral operators and their applications in functional analysis. This book provides a structured approach to mastering metric and functional analysis, aimed at enhancing both exam preparation and a deeper understanding of these critical areas.…
Seller Inventory # 9798313718705
- Title
- Metric Spaces and Functional Spaces : Book Series P-7/24
- Author
- Jitendra Singh
- Publisher
- Amazon Digital Services LLC - Kdp Mär 2025
- Publication year
- 2025
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 13
- 9798313718705
- Item weight
- 231 grams
- Dimensions
- 229x152x12 mm
- Series
- Book 7 of 24: Crack CSIR NET & GATE Mathematics: The Ultimate 24-Book Study Guide
Chapter 1: Metric Spaces and Compactness introduces the basics of metric spaces, including distance functions, open and closed sets. It then explores compactness and sequential compactness, culminating in key theorems like Bolzano-Weierstrass and Heine-Borel.
Chapter 2: Connectedness and Normed Linear Spaces covers connectedness and path-connectedness, moving to normed linear spaces. It discusses norms, Banach spaces, and completeness, providing a basis for understanding spaces of continuous functions.
Chapter 3: Metric Topology and Convergence examines metric topology, focusing on open sets, sequence convergence, and Cauchy sequences. It also addresses the concepts of completeness and the completion of metric spaces.
Chapter 4: Normed Linear Spaces and Inner Product Spaces explores properties of normed linear spaces and inner product spaces, introducing the Riesz representation theorem, which connects linear functionals with inner product spaces.
Chapter 5: Normed Linear Spaces and Compactness discusses compact operators and their properties, including the compactness of integral operators and their applications in functional analysis.
This book provides a structured approach to mastering metric and functional analysis, aimed at enhancing both exam preparation and a deeper understanding of these critical areas.
"Synopsis" may belong to another edition of this title.
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