Several Real Variables / Springer Undergraduate Mathematics Series (PDF)

Name: Several Real Variables / Springer Undergraduate Mathematics Series
Brand: Springer-Verlag GmbH
SKU: 74042475
Price: 37.44 EUR
Availability: OnlineOnly

(Sprache: Englisch)

Autor: Shmuel Kantorovitz

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Several Real Variables / Springer Undergraduate Mathematics Series, Shmuel Kantorovitz

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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...

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Produktinformationen zu „Several Real Variables / Springer Undergraduate Mathematics Series (PDF)“

.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 integrals

This 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 line

ar algebra and analysis of one real variable.

Autoren-Porträt von Shmuel Kantorovitz

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.

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Bibliographische Angaben

Autor: Shmuel Kantorovitz
2016, 1st ed. 2016, 307 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3319279564
ISBN-13: 9783319279565
Erscheinungsdatum: 09.02.2016

Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.

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Dateiformat: PDF
Größe: 3.27 MB
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Sprache:

Englisch

Pressezitat

“This textbook is excellent for self-study as it contains a lot of well-chosen examples and complete proofs. Each topic is followed by a set of suitable exercises, accompanied with detailed solutions, which complement the presented material significantly. … The reader can obtain a very deep insight into analysis and related theories as the book provides deep understanding of principles.” (Roza Aceska, zbMATH 1405.26003, 2019)

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