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Real Analysis
This chapter is a review of the basics of real numbers and real functions. It presents a detailed discussion on the completeness property,...
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Fundamentals of Real and Complex Analysis
The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after...
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Real Analysis
Think about all of our usual operations, starting from limits, derivatives, integrals, sums, then all operations on sets and functions, vectors,...
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Geometric Analysis on Real Analytic Manifolds
This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the...
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Complements in Real and Complex Analysis
Among the tools from real analysis to be mastered by a student of machine learning, statistical physics, and thermodynamics, we mention in particular...
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The Big Book of Real Analysis From Numbers to Measures
This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics. It deals with...
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Notes on Real Analysis and Measure Theory Fine Properties of Real Sets and Functions
This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is...
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Real Analysis: Foundations
This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the...
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An equilibrium analysis of the impact of real estate price volatility on macroeconomics based on ant colony algorithm
In view of the large subjective arbitrariness of traditional real estate appraisal methods, through analysis of the advantages and disadvantages of...
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A Note on Real Line Bundles with Connection and Real Smooth Deligne Cohomology
We define a Real version of smooth Deligne cohomology for manifolds with involution which interpolates between equivariant sheaf cohomology and...
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A new inclusion interval for the real eigenvalues of real matrices
By properties of Cvetković-Kostić-Varga-type (or, for short, CKV-type) B-matrices, a new class of nonsingular matrices called CKV-type
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Real Numbers
In Chap. 3 , we have successfully defined and constructed the set of real numbers, which is a complete ordered...
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Current and Classical Notions of Function in Real Analysis
Not only historians of mathematics but also working analysts know how seventeenth through nineteenth century mathematicians advanced from vaguer...
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Real Sequences
In Chap. 4 , during the construction of decimal representations for real numbers, we have defined an ordered...
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Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.
Startin...
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Analysis
Real analysis is the study of real numbers and maps between them (i.e. functions). Analysis provides a solid foundation for calculus, which in turn...
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Multivariate Statistical Analysis in the Real and Complex Domains
This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified...
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Pair correlation of real-valued vector sequences
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector...
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A geometric characterisation of real C*-algebras
We characterise the positive cone of a real C*-algebra geometrically. Given an open cone Ω in a real Banach space V , with the closure
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Real Series
In Chap. 4 , we have defined the decimal representation for a real number...