Rami Shakarchi

Problems and Solutions for Undergraduate Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

This volume contains all the exercises and their solutions for Lang's second edition of UNDERGRADUATE ANALYSIS. The wide variety of exercises, which range from computational to more conceptual and which are of varying difficulty, cover a wide array of subjects. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning analysis or linear algebra.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 368
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461217381
• Artikelnr.: 43992520

Inhaltsangabe

0 Sets and Mappings.- I Real Numbers.- II Limits and Continuous Functions.- III Differentiation.- IV Elementary Functions.- V The Elementary Real Integral.- VI Normed Vector Spaces.- VII Limits.- VIII Compactness.- IX Series.- X The Integral in One Variable.- XI Approximation with Convolutions.- XII Fourier Series.- XIII Improper Integrals.- XIV The Fourier Integral.- XV Functions on n-Space.- XVI The Winding Number and Global Potential Functions.- XVII Derivatives in Vector Spaces.- XVIII Inverse Mapping Theorem.- XIX Ordinary Differential Equations.- XX Multiple Integrals.- XXI Differential Forms.