Rays, waves, and scattering : (Record no. 81374)
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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 |
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-- | KSU |
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-- | UKAHL |
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-- | MM9 |
-- | UX1 |
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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 | |
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> |
938 ## - | |
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938 ## - | |
-- | De Gruyter |
-- | DEGR |
-- | 9781400885404 |
938 ## - | |
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-- | EBLB |
-- | EBL4866486 |
938 ## - | |
-- | EBSCOhost |
-- | EBSC |
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938 ## - | |
-- | ProQuest MyiLibrary Digital eBook Collection |
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938 ## - | |
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Koha item type | eBooks |
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