INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1441994874
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
E-5697
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
Introduction to calculus and classical analysis
General Material Designation
[Book]
First Statement of Responsibility
/ Omar Hijab
EDITION STATEMENT
Edition Statement
3rd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, c2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xii, 363 p. , ill. , 25 cm.
SERIES
Series Title
(Undergraduate texts in mathematics.)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 357) and index.
CONTENTS NOTE
Text of Note
1. The set of real numbers. Sets and mappings -- The set R -- The subset N and the principle of induction -- The completeness property -- Sequences and limits -- Nonnegative series and decimal expansions -- Signed series and Cauchy sequences -- 2. Continuity. Compactness -- Continuous limits -- Continuous functions -- 3. Differentiation. Derivatives -- Mapping properties -- Graphing techniques -- Power series -- Trigonometry -- Primitives -- 4. Integration. The Cantor set -- Area -- The integral -- The fundamental theorem of calculus -- The method of exhaustion -- 5. Applications. Euler's gamma function -- The number [Greek letter pi] -- Gauss' arithmetic-geometric mean (AGM) -- The Gaussian integral -- Stirling's approximation of n! -- Infinite products -- Jacobi's theta functions -- Riemann's zeta function -- The Euler-Maclaurin formula -- A. Solutions. A.1. Solutions to Chapter 1 -- A.2. Solutions to Chapter 2 -- A.3. Solutions to Chapter 3 -- A.4. Solutions to Chapter 4 -- A.5. Solutions to Chapter 5 -- References -- Index.
SERIES
Title
Undergraduate texts in mathematics
TOPICAL NAME USED AS SUBJECT
Calculus
Mathematical analysis
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA303
Book number
.
H54
2011
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hijab, O.
ORIGINATING SOURCE
Country
ایران
old catalog
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BL
1
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