MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
04173nam a2200337 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
430 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260205155216.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
921030s1993 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
92041432 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0716721058 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
.b42722366 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
OSU |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA300 |
| Item number |
.M2868 1993 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
20 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Marsden, Jerrold E |
| 9 (RLIN) |
90090 |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Elementary classical analysis / |
| Statement of responsibility, etc |
Jerrold E. Marsden, Michael J. Hoffman |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York : |
| Name of producer, publisher, distributor, manufacturer |
W.H. Freeman, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[1993] |
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| Date of production, publication, distribution, manufacture, or copyright notice |
©1993 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 738 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Contents |
| -- |
Preface |
| -- |
Preface to the First Edition |
| -- |
Introduction: Sets and Functions |
| -- |
1 The Real Line and Euclidean Space |
| -- |
1.1 Ordered Fields and the Number System |
| -- |
1.2 Completeness and the Real Number System |
| -- |
1.3 Least Upper Bounds |
| -- |
1.4 Cauchy Sequences |
| -- |
1.5 Cluster Points; lim inf and lim sup |
| -- |
1.6 Euclidean Space |
| -- |
1.7 Norms, Inner Products, and Metrics |
| -- |
1.8 The Complex Numbers |
| -- |
2 The Topology of Euclidean Space |
| -- |
2.1 Open Sets |
| -- |
2.2 Interior of a Set |
| -- |
2.3 Closed Sets |
| -- |
2.4 Accumulation Points |
| -- |
2.5 Closure of a Set |
| -- |
2.6 Boundary of a Set |
| -- |
2.7 Sequences |
| -- |
2.8 Completeness |
| -- |
2.9 Series of Real Numbers and Vectors |
| -- |
3 Compact and Connected Sets |
| -- |
3.1 Compactness |
| -- |
3.2 The Heine-Borel Theorem |
| -- |
3.3 Nested Set Property |
| -- |
3.4 Path-Connected Sets |
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3.5 Connected Sets |
| -- |
4 Continuous Mappings |
| -- |
4.1 Continuity |
| -- |
4.2 Images of Compact and Connected Sets |
| -- |
4.3 Operations on Continuous Mappings |
| -- |
4.4 The Boundedness of Continuous Functions on Compact Sets |
| -- |
4.5 The Intermediate Value Theorem |
| -- |
4.6 Uniform Continuity |
| -- |
4.7 Differentiation of Functions of One Variable |
| -- |
4.8 Integration of Functions of One Variable |
| -- |
5 Uniform Convergence |
| -- |
5.1 Pointwise and Uniform Convergence |
| -- |
5.2 The Weierstrass M Test |
| -- |
5.3 Integration and Differentiation of Series |
| -- |
5.4 The Elementary Functions |
| -- |
5.5 The Space of Continuous Functions |
| -- |
5.6 The Arzela-Ascoli Theorem |
| -- |
5.7 The Contraction Mapping Principle and Its Applications |
| -- |
5.8 The Stone-Weierstrass Theorem |
| -- |
5.9 The Dirichlet and Abel Tests |
| -- |
5.10 Power Series and Cesaro and Abel Summability |
| -- |
6 Differentiable Mappings |
| -- |
6.1 Definition of the Derivative |
| -- |
6.2 Matrix Representation |
| -- |
6.3 Continuity of Differentiable Mappings; Differentiable Paths |
| -- |
6.4 Conditions for Differentiability |
| -- |
6.5 The Chain Rule |
| -- |
6.6 Product Rule and Gradients |
| -- |
6.7 The Mean Value Theorem |
| -- |
6.8 Taylor's Theorem and Higher Derivatives |
| -- |
6.9 Maxima and Minima |
| -- |
7 The Inverse and Implicit Function Theorems and Related Topics |
| -- |
7.1 Inverse Function Theorem |
| -- |
7.2 Implicit Function Theorem |
| -- |
7.3 The Domain-Straightening Theorem |
| -- |
7.4 Further Consequences of the Implicit Function Theorem |
| -- |
7.5 An Existence Theorem for Ordinary Differential Equations |
| -- |
7.6 The Morse Lemma |
| -- |
7.7 Constrained Extrema and Lagrange Multipliers |
| -- |
8 Integration |
| -- |
8.1 Integrable Functions |
| -- |
8.2 Volume and Sets of Measure Zero |
| -- |
8.3 Lebesgue's Theorem |
| -- |
8.4 Properties of the Integral |
| -- |
8.5 Improper Integrals |
| -- |
8.6 Some Convergence Theorems |
| -- |
8.7 Introduction to Distributions |
| -- |
9 Fubini's Theorem and the Change of Variables Formula |
| -- |
9.2 Fubini's Theorem |
| -- |
9.3 Change of Variables Theorem |
| -- |
9.4 Polar Coordinates |
| -- |
9.5 Spherical and Cylindrical Coordinates |
| -- |
9.6 A Note on the Lebesgue Integral |
| -- |
9.7 Interchange of Limiting Operations |
| -- |
10 Fourier Analysis |
| -- |
10.1 Inner Product Spaces |
| -- |
10.2 Orthogonal Families of Functions |
| -- |
10.3 Completeness and Convergence Theorems |
| -- |
10.4 Functions of Bounded Variation and Fejer Theory (Optional) |
| -- |
10.5 Computation of Fourier Series |
| -- |
10.6 Further Convergence Theorems |
| -- |
10.7 Applications |
| -- |
10.8 Fourier Integrals |
| -- |
10.9 Quantum Mechanical Formalism |
| -- |
Appendix A: Miscellaneous Exercises |
| -- |
Appendix B: References and Suggestions for Further Study |
| -- |
Appendix C: Answers and Suggestions for Selected Odd-Numbered Exercises |
| -- |
Index |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical analysis |
| 9 (RLIN) |
1914 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hoffman, Michael J |
| 9 (RLIN) |
122863 |
| Relator term |
Author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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