Introduction to real analysis /
Schramm, Michael J.
Introduction to real analysis / Michael J. Schramm. - Dover edition - Mineola, New York : Dover Publications, c2008. - xiii, 369 pages : illustrations ; 22 cm.
Originally published: Englewood Cliffs, N.J. : Prentice Hall, 1996.
Includes bibliographical references (pages 360) and index.
Chapter one Building Proofs -- Chapter two Finite, Infinite, and Even Bigger -- Chapter three Algebra of the Real Numbers -- Chapter four Ordering, Intervals, and Neighborhoods -- Chapter five Upper Bounds and Suprema -- Chapter six Nested Intervals -- Chapter seven Cluster Points -- Chapter eight Topology of the Real Numbers -- Chapter nine Sequences -- Chapter ten Sequences and the Big Theorem -- Chapter eleven Compact Sets -- Chapter twelve Connected Sets -- Chapter thirteen Series -- Chapter fourteen Uniform Continuity -- Chapter fifteen Sequences and Series of Functions -- Chapter sixteen Differentiation -- Chapter seventeen Integration -- Chapter eighteen Interchanging Limit Processes -- Chapter nineteen Increasing Functions -- Chapter twenty Continuous and Differentiability -- Chapter twenty one Continuous Functions and Integrability -- Chapter twenty two We Build the Real Numbers
English
9780486469133 [paperback] 0486469131
2008024901
Mathematical analysis.
Functions of real variables.
515 Sc377 2008
Introduction to real analysis / Michael J. Schramm. - Dover edition - Mineola, New York : Dover Publications, c2008. - xiii, 369 pages : illustrations ; 22 cm.
Originally published: Englewood Cliffs, N.J. : Prentice Hall, 1996.
Includes bibliographical references (pages 360) and index.
Chapter one Building Proofs -- Chapter two Finite, Infinite, and Even Bigger -- Chapter three Algebra of the Real Numbers -- Chapter four Ordering, Intervals, and Neighborhoods -- Chapter five Upper Bounds and Suprema -- Chapter six Nested Intervals -- Chapter seven Cluster Points -- Chapter eight Topology of the Real Numbers -- Chapter nine Sequences -- Chapter ten Sequences and the Big Theorem -- Chapter eleven Compact Sets -- Chapter twelve Connected Sets -- Chapter thirteen Series -- Chapter fourteen Uniform Continuity -- Chapter fifteen Sequences and Series of Functions -- Chapter sixteen Differentiation -- Chapter seventeen Integration -- Chapter eighteen Interchanging Limit Processes -- Chapter nineteen Increasing Functions -- Chapter twenty Continuous and Differentiability -- Chapter twenty one Continuous Functions and Integrability -- Chapter twenty two We Build the Real Numbers
English
9780486469133 [paperback] 0486469131
2008024901
Mathematical analysis.
Functions of real variables.
515 Sc377 2008