A First Course in Real Analysis - Brossura

Protter, Murray H. H.; Morrey, Charles B. Jr.

Brossura

ISBN 10: 146126460X ISBN 13: 9781461264606

Casa editrice: Springer, 2012

Riassunto

This book is designed for a first course in real analysis following the standard course in elementary calculus. The book contains a full treatment (with many illustrative samples and exercises) of the standard topics in infinite metric spaces, and vector field theory. This new edition includes an assortment of new exercises and provides answers for the od-numbered problems.

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Contenuti

1: The Real Number System. 2: Continuity and Limits. 3: Basic Properties of Functions on R. 4: Elementary Theory of Differentiation. 5: Elementary Theory of Integration. 6: Elementary Theory of Metric Spaces. 7: Differentiation in R. 8: Integration in R. 9: Infinite Sequences and Infinite Series. 10: Fourier Series. 11: Functions Defined by Integrals; Improper Integrals. 12: The Riemann-Stieltjes Integral and Functions of Bounded Variation. 13: Contraction Mappings, Newton's Method, and Differential Equations. 14: Implicit Function Theorems and Lagrange Multipliers. 15: Functions on Metric Spaces; Approximation. 16: Vector Field Theory; the Theorems of Green and Stokes. Appendices.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 146126460X
• ISBN 13: 9781461264606
• Rilegatura: Copertina flessibile
• Numero di pagine: 560
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania