Fundamentals of Mathematical Analysis

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Adel N. Boules (Professor of Mathematics, Professor of Mathematics, University of North Florida)

Fundamentals of Mathematical Analysis

Adel N. Boules (Professor of Mathematics, Professor of Mathematics, University of North Florida)

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English

Oxford University Press
18 March 2021

Calculus & mathematical analysis; Real analysis, real variables; Functional analysis & transforms

Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces. Fundamentals of Mathematical Analysis is an extensive study of metric spaces, including the core topics of completeness, compactness and function spaces, with a good number of applications. The

later chapters consist of an introduction to general topology, a classical treatment of Banach and Hilbert spaces, the elements of operator theory, and a deep account of measure and integration theories. Several courses can be based on the book. This book is suitable for a two-semester course on analysis, and material can be chosen to design one-semester courses on topology or real analysis. It is designed as an accessible classical introduction to the subject and aims to achieve excellent breadth and depth and contains an abundance of examples and exercises. The topics are carefully sequenced, the proofs are detailed, and the writing style is clear and concise. The only prerequisites assumed are a thorough understanding of undergraduate real analysis and linear algebra, and a degree of mathematical maturity.

By: Adel N. Boules (Professor of Mathematics Professor of Mathematics University of North Florida)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 159mm, Spine: 28mm
Weight: 906g
ISBN: 9780198868781
ISBN 10: 0198868782
Pages: 480
Publication Date: 18 March 2021
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

Adel N. Boules, Professor of Mathematics, University of North Florida