Functional Analysis by S. Kesavan [Paperback]

Master Functional Analysis: A First Course for Master's Students by S. Kesavan
Elevate your mathematical expertise with Functional Analysis by S. Kesavan. This comprehensive textbook provides a thorough introduction to the field, specifically designed for graduate students embarking on their journey into functional analysis.

Functional analysis is a powerful branch of mathematics that bridges the gap between linear algebra and analysis. It studies vector spaces with additional structure, such as norms, inner products, and topologies. This book equips you with the foundational knowledge and tools to navigate this fascinating mathematical landscape.

Key Features Tailored for Master's-Level Learning:

Solid Foundation: The book meticulously builds upon your understanding of linear algebra, ensuring a smooth transition into functional analysis concepts.
Gradual Progression: Master essential topics in a step-by-step manner, covering:
Normed linear spaces
Inner product spaces (Hilbert spaces)

Bounded linear operators

The Hahn-Banach theorem and its applications
Weak topologies

Compact operators and their spectra

Real-World Applications: Gain valuable insights into how functional analysis is applied in other areas of mathematics. The book incorporates illustrative examples and exercises drawn from:

Differential equations

The calculus of variations

Additional Benefits:

Clear and Concise Explanations: The author's lucid writing style promotes a clear understanding of even the most intricate concepts.

Rich Problem Set: Hone your problem-solving skills through a comprehensive collection of exercises at the end of each chapter. These exercises range from foundational drills to challenging applications, reinforcing your grasp of the material.

Functional Analysis by S. Kesavan is an ideal resource for:

Master's students in mathematics pursuing coursework in functional analysis.

Graduate students in physics, engineering, or other disciplines where functional analysis finds applications.

Professionals seeking to broaden their mathematical knowledge and explore the theoretical underpinnings of various mathematical tools.

Take the next step in your mathematical journey with Functional Analysis by S. Kesavan. This book empowers you to unlock the power of functional analysis and apply its principles to solve complex problems in mathematics and beyond.