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From physical concept to mathematical structure : an introduction to theoretical physics /
The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Toronto :
University of Toronto Press,
[1979]
|
| Colección: | Mathematical expositions ;
no. 22. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Trainor, Lynn E. H., |d 1921- |e author. | |
| 245 | 1 | 0 | |a From physical concept to mathematical structure : |b an introduction to theoretical physics / |c Lynn E.H. Trainor and Mark B. Wise. |
| 264 | 1 | |a Toronto : |b University of Toronto Press, |c [1979] | |
| 264 | 4 | |c ©1979 | |
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematical expositions ; |v no. 22 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Vendor-supplied metadata. | |
| 505 | 0 | |a Cover; PREFACE; ACKNOWLEDGMENTS; 1 INTRODUCTION; 1.1 General remarks; 1.2 Linear theories; 1.3 Linear operators and transformation groups; 2 CARTESIAN TENSORS AND TRANSFORMATION GROUPS; 2.1 The position vector and its generalization: the rotation group in 2-dimensions; 2.2 Inner and outer products of vectors: tensors; 2.3 Moment of inertia as a second-rank tensor; 2.4 Tensors as multilinear maps; References; Problems; 3 ROTATIONS, REFLECTIONS, AND MORE ABOUT TENSORS; 3.1 Introduction; 3.2 Representation of the group of rotations in 3-dimensional space | |
| 505 | 8 | |a 3.3 A double-valued representation of the group of rotations in 3-dimensional space3.4 Rotations in quaternion form; 3.5 Spinors; 3.6 Reflections and inversions -- pseudotensors; 3.7 Invariant tensors; 3.8 Axial vectors in 3-space as second-rank tensors; 3.9 Vector and tensor fields; 3.10 Covariance of physical laws; References; Problems; 4 CARTESIAN TENSORS AT WORK; 4.1 Theory of elastic continua; (a) Local rotations, compressions, and shears -- the strain tensor; (b) Dilatations; (c) The stress tensor; (d) Hooke's law -- a linear approximation; (e) Principal stresses and strains | |
| 505 | 8 | |a (F) Isotropic cubic crystals4.2 Wave propagation in elastic solids; 4.3 Hydrodynamics; References; Problems; 5 TENSORS AS A BASIS OF GROUP REPRESENTATIONS; 5.1 Introduction; 5.2 The abstract notion of a group; 5.3 The symmetric group Sn; 5.4 Representations of groups; 5.5 Irreducible representations of the symmetric group Sn; 5.6 Product representations; 5.7 Representations of the general linear group; 5.8 Representations of the full orthogonal group; References; Problems; 6 QUANTUM MECHANICS AS A LINEAR THEORY; 6.1 Introduction; 6.2 Eigenfunction expansions for self-adjoint operators | |
| 505 | 8 | |a 6.3 Postulates of quantum mechanics6.4 Matrix mechanics; 6.5 An example -- the simple harmonic oscillator; 6.6 Particles with inner structure; 6.7 Quantization of orbital momentum; 6.8 Rotation operator and representation of the special orthogonal (rotation) group; 6.9 Many-particle systems; References; Problems; 7 GENERALIZED TENSORS IN RIEMANNIAN GEOMETRY; 7.1 Introduction; 7.2 Gauss's introduction to non-Euclidean geometry; 7.3 Curvilinear coordinates; (a) General considerations; (b) Spherical polar coordinates; (c) Lengths, areas, and volumes; 7.4 Riemannian geometry | |
| 505 | 8 | |a 7.5 Change of coordinates -- generalized tensors7.6 Tensor algebra; 7.7 The scalar product; 7.8 Tensors as multilinear maps; References; Problems; 8 SPECIAL RELATIVITY; 8.1 Introduction; 8.2 Preliminaries; 8.3 Galilean relativity; 8.4 Postulates of special relativity; 8.5 Properties of the Poincaré group and its subgroups; 8.6 Minkowski space; 8.7 Maxwell's equations in covariant form; 8.8 Two relativistic invariants; 8.9 Covariance of the Lorentz force equation -- conservation laws; 8.10 Relativistic mechanics; 8.11 Applications of relativistic mechanics; (a) Doppler effect; (b) Compton effect | |
| 520 | |a The text takes an innovative approach to theoretical physics. It surveys the field in a way that emphasizes perspective rather than content per se, and identifies certain common threads, both conceptual and methodological, which run through the fabric of the subject today. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 1 | 7 | |a Natuurkunde. |2 gtt |
| 650 | 1 | 7 | |a Wiskundige methoden. |2 gtt |
| 650 | 1 | 7 | |a Mathematische fysica. |2 gtt |
| 650 | 7 | |a Physique mathématique. |2 ram | |
| 700 | 1 | |a Wise, Mark B., |d 1953- |e author. | |
| 776 | 0 | 8 | |i Print version: |a Trainor, Lynn E.H., 1921- |t From physical concept to mathematical structure. |d Toronto ; Buffalo : University of Toronto Press, ©1979 |w (DLC) 78011616 |w (OCoLC)4497987 |
| 830 | 0 | |a Mathematical expositions ; |v no. 22. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.3138/j.ctvcj2z9t |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5703685 | ||
| 938 | |a EBSCOhost |b EBSC |n 2027700 | ||
| 994 | |a 92 |b IZTAP | ||