MARC details
| 000 -LEADER |
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| fixed length control field |
02338nam a22003017a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250616104327.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250613b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789349750623 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
517.1 |
| Item number |
TAY-I |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Taylor, Michael E. |
| 245 ## - TITLE STATEMENT |
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| Title |
Introduction to analysis in one variable |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
India : |
| Name of publisher, distributor, etc. |
Universities Press, |
| Date of publication, distribution, etc. |
2025. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 247 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Pure and applied undergraduate texts, |
| Volume/sequential designation |
47 |
| International Standard Serial Number |
1943-9334 ; |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
The Sally series |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 243-244) and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This is a text for students who have had a three course calculus sequence and who are ready to explore the logical structure of analysis as the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers, integers, rational numbers, Cauchy sequences), and produces basic algebraic and metric properties of the real number line as propositions, rather than axioms. The text also makes use of the complex numbers and incorporates this into the development of differential and integral calculus. For example, it develops the theory of the exponential function for both real and complex arguments, and it makes a geometrical study of the curve (expit), for real t, leading to a self-contained development of the trigonometric functions and to a derivation of the Euler identity that is very different from what one typically sees. Further topics include metric spaces, the Stone-Weierstrass theorem, and Fourier series. |
| 521 ## - TARGET AUDIENCE NOTE |
|---|
| Target audience note |
Readership: Undergraduates interested in analysis in one variable. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Real functions |
| General subdivision |
Functions of one variable |
| -- |
One-variable calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Elementary functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Real functions |
| General subdivision |
Integrals of Riemann, Stieltjes and Lebesgue type |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/amstext-47-toc.pdf?_gl=1*11jrang*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNDk4OTAkajUzJGwwJGgw">https://www.ams.org/bookstore/pspdf/amstext-47-toc.pdf?_gl=1*11jrang*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNDk4OTAkajUzJGwwJGgw</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/59991009-introduction-to-analysis-in-one-variable?ref=nav_sb_ss_1_40#CommunityReviews">https://www.goodreads.com/book/show/59991009-introduction-to-analysis-in-one-variable?ref=nav_sb_ss_1_40#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
