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Introductory Analysis, Second Edition, is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often… Read more
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New to This Edition
Introduction: Mathematical Statements and Proofs
Ordering of the Real Numbers
Sequence Limits
Completeness of the Real Numbers
Continuous Functions
Consequences of Continuity
The Derivative
The Riemann Integral
Improper Integrals
Infinite Series
The Riemann-Stieltjes Integral
Function Sequences
Power Series
Metric Spaces and Euclidean Spaces
Continuous Transformations
Differential Calculus in Euclidean Spaces
Area and Integration in E²
Appendix
A. Mathematical Induction
B. Countable and Uncountable Sets
C. Infinite Products
JF