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Mathematical analysis.

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Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Càlcul fraccional

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Mathematical analysis. --- Mathematical analysis --- 517.1 Mathematical analysis --- Data processing.

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"This book covers the fundamental concepts and methods of real analysis. These include a detailed construction of real numbers, proofs of their various foundational properties such as completeness, the concept of limit in terms of converging sequences of real numbers, the foundations of differential and integral calculus and the basics of the theory of infinite series. The goal is to introduce readers to these and similar results and provide them with the proofs of these results in a descriptive fashion that is enhanced by warm up discussions and follow up examples. The pedagogical style of the book makes it suitable as a textbook for a one semester first course in real analysis or advanced calculus. A major difference between this book and typical introductory textbooks in real analysis is its parallel goal of highlighting the crucial role of the concept of infinity. While analysis contains substantial amounts of geometry and algebra at its core, its defining characteristic is infinity. This brings this into focus by defining a limit as a number to which an infinite sequence of real numbers converges" [Publisher]

Mathematical analysis. --- Analyse mathématique.

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"This textbook provides an introduction to modern analysis aimed at advanced undergraduate and graduate-level students of mathematics. Professional academics will also find this to be a useful reference work. It covers measure theory, basic functional analysis, single operator theory, spectral theory of bounded and unbounded operators, semigroups of operators, and Banach algebras. Further, this new edition of the textbook also delves deeper into C*-algebras and their standard constructions, von Neumann algebras, probability and mathematical statistics, and partial differential equations. Most chapters contain relatively advanced topics alongside simpler ones, starting from the very basics of modern analysis and slowly advancing to more involved topics. The text is supplemented by many exercises, to allow readers to test their understanding and practical analysis skills." [Publisher]

Mathematical analysis. --- Analyse mathématique.