Rays, waves, and scattering : (Record no. 81374)

000 -LEADER
fixed length control field 07519cam a2200829 i 4500
001 - CONTROL NUMBER
control field ocn984992698
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220908100126.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu|||unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170501s2017 njua ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency N$T
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency N$T
Modifying agency IDEBK
-- N$T
-- EBLCP
-- YDX
-- OCLCF
-- CSAIL
-- NRC
-- OCLCQ
-- JSTOR
-- OCLCO
-- DEGRU
-- ZCU
-- NAM
-- UAB
-- OCLCQ
-- KSU
-- RRP
-- WYU
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-- TKN
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-- IEEEE
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-- OCLCO
019 ## -
-- 984688074
-- 988763719
-- 1175643706
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400885404
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 140088540X
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780691148373
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0691148376
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9781400885404
Source of number or code doi
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000060745822
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)984992698
Canceled/invalid control number (OCoLC)984688074
-- (OCoLC)988763719
-- (OCoLC)1175643706
037 ## - SOURCE OF ACQUISITION
Stock number 22573/ctt1vwmnz7
Source of stock number/acquisition JSTOR
037 ## - SOURCE OF ACQUISITION
Stock number 9452669
Source of stock number/acquisition IEEE
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC20
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 024000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 041000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 055000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT003000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI055000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code TEC000000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
Edition number 23
084 ## - OTHER CLASSIFICATION NUMBER
Classification number SK 950
Number source rvk
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Adam, John A.,
Relator term author.
9 (RLIN) 64938
245 10 - TITLE STATEMENT
Title Rays, waves, and scattering :
Remainder of title topics in classical mathematical physics /
Statement of responsibility, etc. John A. Adam.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Princeton, NJ :
Name of producer, publisher, distributor, manufacturer Princeton University Press,
Date of production, publication, distribution, manufacture, or copyright notice [2017]
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xxiv, 588 pages) :
Other physical details illustrations
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
347 ## - DIGITAL FILE CHARACTERISTICS
Encoding format PDF
490 1# - SERIES STATEMENT
Series statement Princeton series in applied mathematics
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Online resource; title from PDF title page (EBSCO, viewed June 1, 2017).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover; Title; Copyright; Contents; Preface; Acknowledgments; Chapter 1 Introduction; 1.1 The Rainbow Directory; 1.1.1 The Multifaceted Rainbow; 1.2 A Mathematical Taste of Things to Come; 1.2.1 Rays; 1.2.2 Waves; 1.2.3 Scattering (Classical); 1.2.4 Scattering (Semiclassical); 1.2.5 Caustics and Diffraction Catastrophes; PART I. RAYS; Chapter 2 Introduction to the "Physics" of Rays; 2.1 What Is a Ray?; 2.1.1 Some Mathematical Definitions; 2.1.2 Geometric Wavefronts; 2.1.3 Fermat's Principle; 2.1.4 The Intensity Law; 2.1.5 Heuristic Derivation of Snell's Laws; 2.1.6 Generalization.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.2 Geometric and Other Proofs of Snell's Laws of Reflection and Refraction2.2.1 The Law of Reflection; 2.2.2 The Law of Refraction; 2.2.3 A Wave-Theoretic Proof; 2.2.4 An Algebraic Proof; Chapter 3 Introduction to the Mathematics of Rays; 3.1 Background; 3.2 The Method of Characteristics; 3.3 Introduction to Hamilton-Jacobi Theory; 3.3.1 Hamilton's Principle; 3.3.2 Rays and Characteristics; 3.3.3 The Optical Path Length Revisited; 3.4 Ray Differential Geometry and the Eikonal Equation Again; 3.4.1 The Mirage Theorem for Horizontally Stratified Media.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3.4.2 A Return to Spherically Symmetric Media: n(r) Continuous3.5 Dispersion Relations: A Wave-Ray Connection; 3.5.1 Fourier Transforms and Dispersion Relations; 3.5.2 The Bottom Line; 3.5.3 Applications to Atmospheric Waves; 3.6 General Solution of the Linear Wave Equation: Some Asymptotics; 3.6.1 Stationary Phase; 3.6.2 Asymptotics for Oscillatory Sources: Wavenumber Surfaces; 3.7 Rays and Waves in a Slowly Varying Environment; 3.7.1 Some Consequences; 3.7.2 Wavepackets and the Group Speed Revisited; Chapter 4 Ray Optics: The Classical Rainbow.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.1 Physical Features and Historical Details: A Summary4.2 Ray Theory of the Rainbow: Elementary Mathematical Considerations; 4.2.1 Some Numerical Values; 4.2.2 Polarization of the Rainbow; 4.2.3 The Divergence Problem; 4.3 Related Topics in Meteorological Optics; 4.3.1 The Glory; 4.3.2 Coronas (Simplified); 4.3.3 Rayleigh Scattering-a Dimensional Analysis Argument; Chapter 5 An Improvement over Ray Optics: Airy's Rainbow; 5.1 The Airy Approximation; 5.1.1 Some Ray Prerequisites; 5.1.2 The Airy Wavefront; 5.1.3 How Are Colors Distributed in the Airy Rainbow?
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5.1.4 The Airy Wavefront: A Derivation for Arbitrary pChapter 6 Diffraction Catastrophes; 6.1 Basic Geometry of the Fold and Cusp Catastrophes; 6.1.1 The Fold; 6.1.2 The Cusp; 6.2 A Better Approximation; 6.2.1 The Fresnel Integrals; 6.3 The Fold Diffraction Catastrophe; 6.3.1 The Rainbow as a Fold Catastrophe; 6.4 Caustics: The Airy Integral in the Complex Plane; 6.4.1 The Nature of Ai(X); Chapter 7 Introduction to the WKB(J) Approximation: All Things Airy; 7.1 Overview; 7.1.1 Elimination of the First Derivative Term; 7.1.2 The Liouville Transformation.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 567-584) and index.
520 ## - SUMMARY, ETC.
Summary, etc. This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes. Provides a panoramic look at wave motion in many different contextsFeatures problems and exercises throughoutIncludes numerous appendixes, some on topics not often coveredAn ideal reference book for practitionersCan also serve as a supplemental text in classical applied mathematics, particularly wave theory and mathematical methods in physics and engineeringAccessible to anyone with a strong background in ordinary differential equations, partial differential equations, and functions of a complex variable.
546 ## - LANGUAGE NOTE
Language note In English.
590 ## - LOCAL NOTE (RLIN)
Local note IEEE
Provenance (VM) [OBSOLETE] IEEE Xplore Princeton University Press eBooks Library
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
9 (RLIN) 11013
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Physique math�ematique.
9 (RLIN) 64802
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element SCIENCE
General subdivision Energy.
Source of heading or term bisacsh
9 (RLIN) 6159
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element SCIENCE
General subdivision Mechanics
-- General.
Source of heading or term bisacsh
9 (RLIN) 6096
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element SCIENCE
General subdivision Physics
-- General.
Source of heading or term bisacsh
9 (RLIN) 6160
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS
General subdivision Applied.
Source of heading or term bisacsh
9 (RLIN) 5811
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst01012104
9 (RLIN) 11013
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 3294
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780691148373
-- 0691148376
Record control number (OCoLC)965805035
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Princeton series in applied mathematics.
9 (RLIN) 64939
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452669">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452669</a>
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938 ## -
-- ProQuest MyiLibrary Digital eBook Collection
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
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No items available.