INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0471792306 (acid-free paper)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
E-6928
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Real analysis
General Material Designation
[Book]
Other Title Information
:a constructive approach
First Statement of Responsibility
/ Mark Bridger
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hoboken, N.J.
Name of Publisher, Distributor, etc.
: Wiley-Interscience
Date of Publication, Distribution, etc.
, 2007.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xvi, 302 p. , ill. , 25 cm.
SERIES
Series Title
(Pure and applied mathematics.)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 295) and index.
CONTENTS NOTE
Text of Note
Preliminaries -- The natural numbers -- The rationals -- The real numbers and completeness -- Introduction -- Interval arithmetic -- Families of intersecting intervals -- Fine families -- Definition of the reals -- Real number arithmetic -- Rational approximations -- Real intervals and completeness -- Limits and limiting families -- Appendix: The Goldbach number and trichotomy -- An inverse function theorem and its application -- Introduction -- Functions and inverses -- An inverse function theorem -- The exponential function -- Natural logs and the Euler number e -- Limits, sequences and series -- Sequences and convergence -- Limits of functions -- Series of numbers -- Appendix I: Some properties of exp and log -- Appendix II: Rearrangements of series -- Uniform continuity -- Definitions and elementary properties -- Limits and extensions -- Appendix I: Are there non-continuous functions? -- Appendix II: Continuity of double-sided inverses -- Appendix III: The Goldbach function -- The Riemann integral -- Definition and existence -- elementary properties -- Extensions and improper integrals -- Differentiation -- Definitions and basic properties -- The arithmetic of differentiability -- Two important theorems -- Derivative tools -- Integral tools -- Sequences and series of functions -- Sequences of functions -- Integrals and derivatives of sequences -- Power series -- Taylor series -- The periodic functions -- Appendix: Binomial issues -- The complex numbers and fourier series -- Introduction -- The complex numbers C -- Complex functions and vectors -- Fourier series theory.
SERIES
Title
Pure and applied mathematics (John Wiley & Sons : Unnumbered)
TOPICAL NAME USED AS SUBJECT
Mathematical analysis
Continuity
Differentiable functions
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA300
Book number
.
B689
2007
PERSONAL NAME - PRIMARY RESPONSIBILITY
Bridger, Mark,1942-
ORIGINATING SOURCE
Country
ایران
old catalog
p
BL
1
a
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