MARC details
| 000 -LEADER |
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| fixed length control field |
03425nam a22003377a 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 |
20240627150006.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240627b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470425647 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Transcribing agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
517.57 |
| Item number |
PER-H |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Pereyra, María Cristina. |
| 245 10 - TITLE STATEMENT |
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| Title |
Harmonic analysis : |
| Remainder of title |
from fourier to wavelets |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Hyderabad : |
| Name of publisher, distributor, etc. |
Universities Press, |
| Date of publication, distribution, etc. |
2016 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxix, 410 p. : |
| Other physical details |
ill. ; |
| Dimensions |
23 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Student mathematical library ; |
| -- |
IAS/Park City mathematical subseries |
| Volume/sequential designation |
volume 63. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (p. 391-399) and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering.<br/><br/>In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory. They present for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization). While concentrating on the Fourier and Haar cases, the book touches on aspects of the world that lies between these two different ways of decomposing functions: time–frequency analysis (wavelets). Both finite and continuous perspectives are presented, allowing for the introduction of discrete Fourier and Haar transforms and fast algorithms, such as the Fast Fourier Transform (FFT) and its wavelet analogues.<br/><br/>The approach combines rigorous proof, inviting motivation, and numerous applications. Over 250 exercises are included in the text. Each chapter ends with ideas for projects in harmonic analysis that students can work on independently. |
| 521 ## - TARGET AUDIENCE NOTE |
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| Target audience note |
Undergraduate and beginning graduate students interested in harmonic analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Harmonic analysis |
| Form subdivision |
Textbooks. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces -- Instructional exposition (textbooks, tutorial papers, etc.). |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces -- Research exposition (monographs, survey articles). |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systems. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Ward, Lesley A., |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of Contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/stml-63-toc.pdf?_gl=1*15g3mh8*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ3OTczNS4wLjAuMA..">https://www.ams.org/bookstore/pspdf/stml-63-toc.pdf?_gl=1*15g3mh8*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ3OTczNS4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Index |
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/stml-63-index.pdf?_gl=1*cldb7c*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ4MDM2Ni4wLjAuMA..">https://www.ams.org/bookstore/pspdf/stml-63-index.pdf?_gl=1*cldb7c*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ4MDM2Ni4wLjAuMA..</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/14996999-harmonic-analysis?from_search=true&from_srp=true&qid=cpCYwOklj4&rank=1#CommunityReviews">https://www.goodreads.com/book/show/14996999-harmonic-analysis?from_search=true&from_srp=true&qid=cpCYwOklj4&rank=1#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
