Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Metric Spaces and Functional Spaces: Book Series P-7/24

Metric Spaces and Functional Spaces: Book Series P-7/24

Verma, Preety
Singh, Jitendra

Paperback

Series: Crack CSIR Net & Gate Mathematics: The Ultimate 24-Book Study Guide, Book 7

College GuidesGeneral Education

ISBN13: 9798313718705
Publisher: Independently Published
Published: Mar 11 2025
Pages: 186
Weight: 0.51
Height: 0.47 Width: 6.00 Depth: 9.00
Language: English
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.

Also from

Verma, Preety

View All

Also in

College Guides

View All