메세지가 없습니다
상세정보
- 검색상세정보
Rays, waves, and scattering topics in classical mathematical physics [electronic resource]
Adam, John A.
- 책이미지
- 서평쓰기
- 서평쓰기
- 책이미지
-
QRcode
- QRcode 사용방법
-
QRcode 사용방법
- QR코드 정의
- 사각형의 가로세로 격자무늬에 다양한 정보를 담고 있는 2차원(매트릭스)형식의 코드로 스마트폰으로 QR코드를 스캔하면 각종 정보를 제공 받을 수 있습니다.
- QR코드 인식프로그램
- 스마트폰 마켓에 들어가면 'QR코드 스캔 프로그램'을 검색해 무료 어플을 다운받아 사용하시면 됩니다.
- 도서정보 QR코드 이용하기
- 도서 상세정보에서 QR코드를 스캔하면, 모바일 웹페이지로 연결되어 해당 도서의 상세정보 및 소장정보 등을 확인 할 수 있습니다.
| 자료유형 | E-BOOK |
|---|---|
| 서명/저자사항 | Rays, waves, and scattering [electronic resource]: topics in classical mathematical physics/ John A. Adam. |
| 개인저자 | Adam, John A.,author, |
| 발행사항 | Princeton, NJ: Princeton University Press, 2017. |
| 형태사항 | 1 online resource. |
| 총서사항 | Princeton series in applied mathematics |
| 기타형태 저록 | Print version: 9780691148373 0691148376 |
| ISBN | 9781400885404 140088540X |
| 기타표준부호 | 10.1515/9781400885404doi |
| 서지주기 | Includes bibliographical references and index. |
| 내용주기 | 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 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 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 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? 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 |
| 요약 | 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. |
| 일반주제명 | Mathematical physics. SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General Mathematical physics. MATHEMATICS / Applied |
| 언어 | In English. |
| 바로가기 | URL |
소장정보
청구기호 Browsing
이 분야 인기자료
-
- 면역학의 기본
- 마쓰모토 켄지
- BM성안당, 2022
-
- (그림으로 쉽게 공부하는)핵심해부학 컬러링북
- 메디컬아카데미아. 해부학연구회
- 아카데미아, 2023
-
- 포토샵+일러스트레이터 CC 2024 무작정 따라하기
- 민지영
- 길벗, 2024
-
- (Do it!)스케치업 with 엔스케이프 : 8가지 ...
- 최주영
- 이지스, 2024
-
- (레트로의) 유니티 프로그래밍 에센스 : C#으로 배우...
- 이제민
- 한빛미디어, 2022
태그가 저장되었습니다. 
태그저장 중 오류가 발생하였습니다. 재시도 하십시오. 
개인정보처리방침
주소 : 부산광역시 남구 신선로 428 동명대학교 중앙도서관전화번호 : 051-629-3101~8
COPYRIGHT ⓒ 2016 TONGMYONG UNIVERSITY LIBRARY. ALL RIGHTS RESERVED.
서평 (0 건)
*주제와 무관한 내용의 서평은 삭제될 수 있습니다.
서평추가