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Introductory Analysis John A. Fridy (Kent State University, Ohio, U.S.A.)

Introductory Analysis By John A. Fridy (Kent State University, Ohio, U.S.A.)

Introductory Analysis by John A. Fridy (Kent State University, Ohio, U.S.A.)


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Summary

Intended for the course on calculus limit theories that is taken after a problem solving course in calculus. This title studies topics such as sequences, function limits, derivatives, integrals, series, metric spaces and calculus in n-dimensional Euclidean space. It provides proofs about rational numbers and the integrals of Riemann and Stieltjes.

Introductory Analysis Summary

Introductory Analysis: The Theory of Calculus by John A. Fridy (Kent State University, Ohio, U.S.A.)

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 by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space

Table of Contents

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 E(2) Appendix A. Mathematical Induction B. Countable and Uncountable Sets C. Infinite Products

Additional information

NPB9780122676550
9780122676550
0122676556
Introductory Analysis: The Theory of Calculus by John A. Fridy (Kent State University, Ohio, U.S.A.)
New
Hardback
Elsevier Science Publishing Co Inc
2000-02-10
335
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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