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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis From Classical to Modern Analysis
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From Classical to Modern Analysis
Rinaldo B. Schinazi (Taschenbuch, Englisch)
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Beschreibung
This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of… abstraction and mathematical rigor needed for graduate study in real analysis. Fitting in between analysis textbooks that are too formal or too casual, From Classical to Modern Analysis is a comprehensive, yet straightforward, resource for studying real analysis. To build the foundational elements of real analysis, the first seven chapters cover number systems, convergence of sequences and series, as well as more advanced topics like superior and inferior limits, convergence of functions, and metric spaces. Chapters 8 through 12 explore topology in and continuityon metric spaces and introduce the Lebesgue integrals. The last chapters are largely independent and discuss various applications of the Lebesgue integral. Instructors who want to demonstrate the uses of measure theory and explore its advanced applications with their undergraduate students will find this textbook an invaluable resource. Advanced single-variable calculus and a familiarity with reading and writing mathematical proofs are all readers will need to follow the text. Graduate students can also use this self-contained and comprehensive introduction to real analysis for self-study and review. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
03.01.2019
Sprache
Englisch
EAN
9783030068790
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Rinaldo B. Schinazi
Seitenanzahl
270
Auflage
Softcover reprint of the original 1st edition 2018
Einbandart
Taschenbuch
Schlagwörter
Lebesgue integral, real analysis, measure theory, Euclidean spaces, metric spaces, numerical series, power series, Cauchy sequences
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKB - Reelle Analysis, Real-Variablen
PBKL - Integralrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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