Studies in theoretical physics. (Record no. 68460)
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| fixed length control field | 07688nam a2200649 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780750348614 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IOP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20251030124827.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240304s2024 enka fob 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750348614 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780750348607 |
| Qualifying information | mobi |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750348591 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780750348621 |
| Qualifying information | myPrint |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1088/978-0-7503-4861-4 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)thg00083884 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1424965892 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC20 |
| Item number | .E746 2024eb vol. 2 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PHU |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI040000 |
| Source | bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Erenso, Daniel, |
| Relator term | author. |
| 9 (RLIN) | 96891 |
| 245 1# - TITLE STATEMENT | |
| Title | Studies in theoretical physics. |
| Number of part/section of a work | Volume 2, |
| Name of part/section of a work | Advanced mathematical methods / |
| Statement of responsibility, etc. | Daniel Erenso. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Advanced mathematical methods. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |
| Name of producer, publisher, distributor, manufacturer | IOP Publishing, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2024] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (various pagings) : |
| Other physical details | illustrations (some color). |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | electronic |
| Source | isbdmedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | [IOP release $release] |
| 490 1# - SERIES STATEMENT | |
| Series statement | IOP ebooks. [2024 collection] |
| 500 ## - GENERAL NOTE | |
| General note | "Version: 20240201"--Title page verso. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Manifolds -- 1.1. What is a manifold? -- 1.2. Curves and surfaces in a manifold -- 1.3. Coordinate transformations and summation convention -- 1.4. The local geometry of a manifold -- 1.5. Length, area, and volume -- 1.6. Local Cartesian coordinates and tangent space -- 1.7. The signature of a manifold -- 1.8. N-dimensional volume without a constraint -- 1.9. Homework assignment |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Vector calculus on manifolds -- 2.1. Scalars and vectors on a manifold -- 2.2. The tangent vector -- 2.3. The basis vectors -- 2.4. The metric function and the coordinate basis vectors -- 2.5. Basis vectors and coordinate transformations -- 2.6. Components of a vector in coordinate transformations -- 2.7. The inner product of vectors and the metric tensor -- 2.8. The inner product and the null vectors -- 2.9. The affine connections -- 2.10. The affine connection under coordinate transformation -- 2.11. The affine connection and the metric tensor -- 2.12. Local geodesic and Cartesian coordinates -- 2.13. The gradient, the divergence, and the curl on a manifold -- 2.14. Intrinsic derivative of a vector along a curve -- 2.15. Null curves, non-null curves, and affine parameter -- 2.16. Parallel transport -- 2.17. The geodesic -- 2.18. The Euler-Lagrange equation -- 2.19. Stationary property of the non-null geodesic -- 2.20. Homework assignments |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Tensor calculus on manifolds -- 3.1. Tensors and rank of a tensor -- 3.2. Components of a tensor -- 3.3. Permutations and symmetries in tensors -- 3.4. Associated tensors -- 3.5. Mapping tensors onto tensors -- 3.6. Tensors and coordinate transformations -- 3.7. Tensor equations and the quotient theorem -- 3.8. Covariant derivatives of a tensor -- 3.9. Intrinsic derivative -- 3.10. Homework assignment |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. Tensor application : relativistic electrodynamics -- 4.1. The Lorentz force and the electromagnetic field tensor -- 4.2. The four-current density and the continuity equation -- 4.3. Maxwell's equations and the electromagnetic field tensor -- 4.4. The scalar, the vector potentials, and the electromagnetic field tensor -- 4.5. Gauge transformation -- 4.6. Maxwell's equations in a Lorentz gauge -- 4.7. Charged particle equation of motion -- 4.8. Homework assignment. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | Unlike other standard textbooks in mathematical methods, this second Volume covers topics in mathematical techniques needed in advanced upper-level courses in theoretical physics that include General relativity, electromagnetism, fluid dynamics, quantum information theory and quantum field theory, solid mechanics, crystallography, continuum mechanics, plasma physics, and thermodynamics. The topics are divided into four chapters: The first chapter introduces manifolds, and the second chapter focuses on vector calculus on Manifolds with several application examples from the special theory of relativity. The third chapter discusses tensor calculus on manifolds, followed by the application of tensor calculus, specifically to relativistic electrodynamics in the four-dimensional Minkowski space-time manifold in chapter four. These topics are built upon and related vector calculus (in three dimensions) covered in the first volume. |
| 521 ## - TARGET AUDIENCE NOTE | |
| Target audience note | Students globally at the upper undergraduate level in physics and engineering required to take mathematical methods courses. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA | |
| Biographical or historical data | Daniel Erenso is a professor of physics at Middle Tennessee State University (MTSU), Murfreesboro, Tennessee, USA. He joined MTSU in 2003 after he received his Ph.D. in theoretical physics from the University of Arkansas, a BSc (1990), and an MSc (1997) in physics from Addis Ababa University, Ethiopia. He also received an Advanced Diploma in Condensed Matter Physics from the Abdul Salam International Center for Theoretical Physics (ASICTP), Trieste, Italy 1999. For more than two decades, Professor Erenso has served in teaching, research, and mentoring at different universities. For the excellence and dedication that Dr. Erenso demonstrated in teaching, he received the MTSU College of Basic & Applied Sciences Excellence in Teaching Award in 2011. Professor Erenso has recently published two books: "Virtual and Real Labs for Introductory Physics II Optics, Modern Physics, and Electromagnetism" and "Studies in Theoretical Physics, Volume 1: Fundamental Mathematical Methods". Professor Erenso also has a strong record of research with extended longevity. He has mentored hundreds of undergraduate and graduate students. His research interests include theoretical and experimental physics, and he has published over 40 and presented over 80 research works at national and international venues. For his outstanding research accomplishment, Dr. Erenso received Sigma Xi the Scientific Research Society Aubrey E Harvey Outstanding Graduate Research Award from the University of Arkansas, the MTSU Foundations Special Project Award, the MTSU College of Basic & Applied Sciences Distinguished Research Award, and a nomination for American Physical Society (APS) Prize for a Faculty Member for Research in an Undergraduate Institution. Professor Erenso is a member of several professional societies, including the American Physical Society, Optical Society of America, American Association of Physics Teachers, Sigma Xi, The Scientific Research Society, and Sigma Pi Sigma, the Physics Honor Society. Professor Erenso is an invited reviewer for several international journals and book publishing companies. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Title from PDF title page (viewed on March 4, 2024). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
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| Source of heading or term | bicssc |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 96672 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Institute of Physics (Great Britain), |
| Relator term | publisher. |
| 9 (RLIN) | 17702 |
| 776 #8 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780750348591 |
| -- | 9780750348621 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP (Series). |
| Name of part/section of a work | Release 24. |
| 9 (RLIN) | 96892 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IOP ebooks. |
| Name of part/section of a work | 2024 collection. |
| 9 (RLIN) | 96893 |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://iopscience.iop.org/book/mono/978-0-7503-4861-4">https://iopscience.iop.org/book/mono/978-0-7503-4861-4</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
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