Description: Further DetailsTitle: Measure, Integration & Real AnalysisCondition: NewEAN: 9783030331429ISBN: 9783030331429Edition: 1st ed. 2020Publisher: Springer Nature Switzerland AGFormat: HardbackRelease Date: 12/24/2019Item Height: 235mmItem Length: 155mmAuthor: Sheldon AxlerLanguage: EnglishDescription: This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysisthat is freely available online. For errata and updates, visit https://measure.axler.net/Country/Region of Manufacture: CHGenre: Science Nature & MathBook Series: Graduate Texts in MathematicsRelease Year: 2019 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
Price: 74.64 USD
Location: NN10 6GL
End Time: 2025-02-09T13:00:55.000Z
Shipping Cost: N/A USD
Product Images
Item Specifics
Return shipping will be paid by: Buyer
All returns accepted: Returns Accepted
Item must be returned within: 30 Days
Refund will be given as: Money back or replacement (buyer's choice)
Return policy details:
Book Title: Measure, Integration & Real Analysis
Title: Measure, Integration & Real Analysis
EAN: 9783030331429
ISBN: 9783030331429
Edition: 1st ed. 2020
Release Date: 12/24/2019
Release Year: 2019
Item Height: 235mm
Country/Region of Manufacture: CH
Genre: Science Nature & Math
Number of Pages: Xviii, 411 Pages
Language: English
Publication Name: Measure, Integration and Real Analysis
Publisher: Springer International Publishing A&G
Subject: Mathematical Analysis
Publication Year: 2019
Type: Textbook
Item Weight: 35.2 Oz
Subject Area: Mathematics
Author: Sheldon Axler
Item Length: 9.3 in
Item Width: 6.1 in
Series: Graduate Texts in Mathematics Ser.
Format: Hardcover
