Saminathan Ponnusamy's Books

Foundations of Mathematical Analysis

By: Saminathan Ponnusamy

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Foundations of Mathematical Analysis

By: Saminathan Ponnusamy

Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.

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Page Count

575

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817682929

ISBN 13

9780817682927

Foundations of Functional Analysis

By: Saminathan Ponnusamy

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Foundations of Functional Analysis

By: Saminathan Ponnusamy

Provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers: Basic facts of linear algebra and real analysis. Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics. Hilbert spaces and the representation of continuous linear function with applications. In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

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Page Count

484

Publisher

Alpha Science Int'l Ltd.

Published Date

ISBN 10

1842650793

ISBN 13

9781842650790

Complex Variables with Applications

By: Saminathan Ponnusamy,Herb Silverman

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Complex Variables with Applications

By: Saminathan Ponnusamy,Herb Silverman

Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

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