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Several Real Variables
Taschenbuch von Shmuel Kantorovitz
Sprache: Englisch

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Beschreibung
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:
¿The p-norms on vector space and their equivalence
¿The Weierstrass and Stone-Weierstrass approximation theorems
¿The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables
¿The Implicit Function Theorem for a system of equations, proved via Banach¿s Fixed Point Theorem
¿Applications to Ordinary Differential Equations
¿Line integrals and an introduction to surface integralsThis book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study.

Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:
¿The p-norms on vector space and their equivalence
¿The Weierstrass and Stone-Weierstrass approximation theorems
¿The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables
¿The Implicit Function Theorem for a system of equations, proved via Banach¿s Fixed Point Theorem
¿Applications to Ordinary Differential Equations
¿Line integrals and an introduction to surface integralsThis book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study.

Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.
Über den Autor

The author is an expert in Spectral Theory and semigroups of operators, researching in this area for 50 years, publishing numerous papers and three monographs.

Zusammenfassung

A modern, self-contained exposition of the basic analysis of functions of several real variables

An easy-to-read introduction to first-order logic and model theory

Presents the essential aspects of model theory needed to understand model theoretic algebra

Includes interesting and profound applications of model theory to algebra

Includes supplementary material: [...]

Inhaltsverzeichnis
Continuity.- Derivation.- Implicit Functions.- Integration.- Solutions.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xii
307 S.
16 s/w Illustr.
307 p. 16 illus.
ISBN-13: 9783319279558
ISBN-10: 3319279556
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kantorovitz, Shmuel
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 18 mm
Von/Mit: Shmuel Kantorovitz
Erscheinungsdatum: 19.02.2016
Gewicht: 0,493 kg
Artikel-ID: 104125572
Über den Autor

The author is an expert in Spectral Theory and semigroups of operators, researching in this area for 50 years, publishing numerous papers and three monographs.

Zusammenfassung

A modern, self-contained exposition of the basic analysis of functions of several real variables

An easy-to-read introduction to first-order logic and model theory

Presents the essential aspects of model theory needed to understand model theoretic algebra

Includes interesting and profound applications of model theory to algebra

Includes supplementary material: [...]

Inhaltsverzeichnis
Continuity.- Derivation.- Implicit Functions.- Integration.- Solutions.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xii
307 S.
16 s/w Illustr.
307 p. 16 illus.
ISBN-13: 9783319279558
ISBN-10: 3319279556
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kantorovitz, Shmuel
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 18 mm
Von/Mit: Shmuel Kantorovitz
Erscheinungsdatum: 19.02.2016
Gewicht: 0,493 kg
Artikel-ID: 104125572
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