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A First Course in Real Analysis

Murray H. Protter and Charles B. Jr. Morrey
Publisher: 
Springer Verlag
Publication Date: 
1997
Number of Pages: 
560
Format: 
Hardcover
Edition: 
2
Series: 
Undergraduate Texts in Mathematics
Price: 
64.95
ISBN: 
0387974377
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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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.

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