کتاب دانلود کتب لاتین علوم مهندسیریاضی
مبانی تجزیه و تحلیل ریاضی
مبانی تجزیه و تحلیل ریاضی

Fundamentals of Mathematical Analysis
نویسنده: Adel N. Boules
سال انتشار: 2021
تعداد صفحات: 481
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 6MB
قیمت: 200,000ريال

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Publisher : ‎Oxford University Press

ISBN-10 : ‎0198868790, 0198868782

ISBN-13 :‎ 978-0198868798, 978-0198868781

ASIN : B08Y92JPXH

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.