Mathematical methods for geophysics and space physics / (Record no. 81338)
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| fixed length control field | 160406s2016 njua ob 001 0 eng d |
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| Language of cataloging | eng |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400882823 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400882826 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781523124589 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 152312458X |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691170602 |
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| 024 8# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 12835842 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400882823 |
| Source of number or code | doi |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
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| Stock number | 9452491 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC809.M37 |
| Item number | N49 2016eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI004000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI019000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI032000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 004000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 005000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 019000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 032000 |
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| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI |
| Subject category code subdivision | 040000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 520.1/51 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Newman, William I., |
| Relator term | author. |
| 9 (RLIN) | 64742 |
| 245 10 - TITLE STATEMENT | |
| Title | Mathematical methods for geophysics and space physics / |
| Statement of responsibility, etc. | William I. Newman. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton, New Jersey ; |
| -- | Oxford : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2016] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiv, 250 pages) : |
| Other physical details | illustrations |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
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| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
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| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
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| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| Encoding format | |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Mathematical preliminaries -- Ordinary differential equations -- Evaluation of integrals and integral transform methods -- Partial differential equations of mathematical geophysics -- Probability, statistics, and computational methods. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Graduate students in the natural sciences--including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy--need a broad-based mathematical toolbox to facilitate their research. In addition, they need to survey a wider array of mathematical methods that, while outside their particular areas of expertise, are important in related ones. While it is unrealistic to expect them to develop an encyclopedic knowledge of all the methods that are out there, they need to know how and where to obtain reliable and effective insights into these broader areas. Here at last is a graduate textbook that provides these students with the mathematical skills they need to succeed in today's highly interdisciplinary research environment. This authoritative and accessible book covers everything from the elements of vector and tensor analysis to ordinary differential equations, special functions, and chaos and fractals. Other topics include integral transforms, complex analysis, and inverse theory; partial differential equations of mathematical geophysics; probability, statistics, and computational methods; and much more. Proven in the classroom, Mathematical Methods for Geophysics and Space Physics features numerous exercises throughout as well as suggestions for further reading. Provides an authoritative and accessible introduction to the subject Covers vector and tensor analysis, ordinary differential equations, integrals and approximations, Fourier transforms, diffusion and dispersion, sound waves and perturbation theory, randomness in data, and a host of other topics Features numerous exercises throughout Ideal for students and researchers alike An online illustration package is available to professors. |
| 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 | Geophysics |
| General subdivision | Mathematics. |
| 9 (RLIN) | 64743 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Cosmic physics |
| General subdivision | Mathematics. |
| 9 (RLIN) | 64744 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | G�eophysique |
| General subdivision | Math�ematiques. |
| 9 (RLIN) | 64745 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Physique spatiale |
| General subdivision | Math�ematiques. |
| 9 (RLIN) | 64746 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | General. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 4635 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geophysics |
| General subdivision | Mathematics. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00941023 |
| 9 (RLIN) | 64743 |
| 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: |
| Main entry heading | Newman, William I. |
| Title | Mathematical methods for geophysics and space physics. |
| Place, publisher, and date of publication | Princeton, New Jersey ; Oxford : Princeton University Press, [2016] |
| International Standard Book Number | 9780691170602 |
| Record control number | (DLC) 2015040966 |
| -- | (OCoLC)930462870 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452491">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452491</a> |
| 880 0# - ALTERNATE GRAPHIC REPRESENTATION | |
| Linkage | 505-00/(S |
| a | Cover -- Title -- Copyright -- Contents -- Preface -- 1 Mathematical Preliminaries -- 1.1 Vectors, Indicial Notation, and Vector Operators -- 1.2 Cylindrical and Spherical Geometry -- 1.3 Theorems of Gauss, Green, and Stokes -- 1.4 Rotation and Matrix Representation -- 1.5 Tensors, Eigenvalues, and Eigenvectors -- 1.6 Ramp, Heaviside, and Dirac (Se (BFunctions -- 1.7 Exercises -- 2 Ordinary Differential Equations -- 2.1 Linear First-Order Ordinary Differential Equations -- 2.2 Second-Order Ordinary Differential Equations -- 2.2.1 Linear Second-Order Differential Equations -- 2.2.2 Green's Functions -- 2.2.3 LRC Circuits and Visco-Elastic Solids -- 2.2.4 Driven Oscillators, Resonance, and Variation of Constants -- 2.2.5 JWKB Method, Riccati Equation, and Adiabatic Invariants -- 2.2.6 Nonlinearity and Perturbation Theory -- 2.3 Special Functions, Laplacians, and Separation of Variables -- 2.3.1 Cartesian Coordinates and Separation of Variables -- 2.3.2 Polar and Cylindrical Coordinates and Separation of Variables -- Bessel and Generating Functions -- 2.3.3 Spherical Coordinates and Separation of Variables -- Green's and Generating Function -- Spherical Harmonics -- 2.4 Nonlinear Ordinary Differential Equations -- 2.4.1 Bullard's Homopolar Dynamo -- 2.4.2 Poincar�e-Bendixson Theorem and the Van der Pol Oscillator -- 2.4.3 Lorenz Attractor, Perturbation Theory, and Chaos -- 2.4.4 Fractals -- 2.4.5 Maps and Period Doubling -- 2.5 Exercises -- 3 Evaluation of Integrals and Integral Transform Methods -- 3.1 Integration Methods, Approximations, and Special Cases -- 3.1.1 Elementary Methods and Asymptotic Methods -- 3.1.2 Steepest Descent Methods -- 3.1.3 Special Problems in Geophysics -- Elliptic Integrals -- 3.2 Complex Analysis and Elementary Contour Integration -- 3.3 Fourier Transforms and Analysis Methods. |
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