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300 Problems in Special and General Relativity: With Complete Solutions [Pehme köide]

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(KTH Royal Institute of Technology, Stockholm), (KTH Royal Institute of Technology, Stockholm)
  • Formaat: Paperback / softback, 350 pages, kõrgus x laius x paksus: 245x168x20 mm, kaal: 639 g, Worked examples or Exercises
  • Ilmumisaeg: 09-Dec-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 100901773X
  • ISBN-13: 9781009017732
Teised raamatud teemal:
300 Problems in Special and General Relativity: With Complete SolutionsSuurem pilt
  • Formaat: Paperback / softback, 350 pages, kõrgus x laius x paksus: 245x168x20 mm, kaal: 639 g, Worked examples or Exercises
  • Ilmumisaeg: 09-Dec-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 100901773X
  • ISBN-13: 9781009017732
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781009017732.html
Märksõnad:
Einstein's theories of special relativity and general relativity form a core part of today's undergraduate (or Masters-level) physics curriculum. This is a supplementary problem book or student's manual, consisting of 150 problems in each of special and general relativity. The problems, which have been developed, tested and refined by the authors over the past two decades, are a mixture of short-form and multi-part extended problems, with hints provided where appropriate. Complete solutions are elaborated for every problem, in a different section of the book; some solutions include brief discussions on their physical or historical significance. Designed as a companion text to complement a main relativity textbook, it does not assume access to any specific textbook. This is a helpful resource for advanced students, for self-study, a source of problems for university teaching assistants, or as inspiration for instructors and examiners constructing problems for their lectures, homework or exams.

This supplementary problem book or student's manual consists of 150 problems in each of special and general relativity, with complete solutions elaborated. Designed as a companion text to supplement a main relativity textbook at advanced undergraduate or masters level, it does not assume access to any specific textbook.

Arvustused

'This book is intended to help students grasp the concepts of relativity and acquire the requisite problem-solving skills and will be warmly received by graduate students of physics, including those preparing for the Graduate Record Examinations, and instructors of relativity. Recommended.' N. Sadanand, Choice

Muu info

A textbook-neutral problems-and-solutions book that complements any relativity textbook at advanced undergraduate or masters level.
Preface ix
Notation, Concepts, and Conventions in Relativity Theory 1(1)
General Notation 1(2)
Special Relativity 3(3)
General Relativity 6(6)
Conventions 12(2)
1 Special Relativity Theory
14(29)
1.1 Basics
14(1)
1.2 Length Contraction, Time Dilation, and Spacetime Diagrams
15(5)
1.3 Lorentz Transformations and Geometry of Minkowski Space
20(2)
1.4 Relativistic Velocities and Proper Quantities
22(4)
1.5 Relativistic Optics
26(3)
1.6 Relativistic Mechanics
29(7)
1.7 Electromagnetism
36(5)
1.8 Energy--Momentum Tensor
41(1)
1.9 Lagrange's Formalism
42(1)
2 General Relativity Theory
43(34)
2.1 Some Differential Geometry
43(6)
2.2 Christoffel Symbols, Riemann and Ricci Tensors, and Einstein's Equations
49(4)
2.3 Maxwell's Equations and Energy-Momentum Tensor
53(2)
2.4 Killing Vector Fields
55(2)
2.5 Schwarzschild Metric
57(1)
2.6 Metrics, Geodesic Equations, and Proper Quantities
58(8)
2.7 Kruskal-Szekeres Coordinates
66(2)
2.8 Weak Field Approximation and Newtonian Limit
68(2)
2.9 Gravitational Lensing
70(1)
2.10 Frequency Shifts
70(2)
2.11 Gravitational Waves
72(2)
2.12 Cosmology and Friedmann--Lemaitre--Robertson--Walker Metric
74(3)
3 Solutions to Problems
77(273)
3.1 Solutions to Problems in Special Relativity Theory
77(108)
3.2 Solutions to Problems in General Relativity Theory
185(165)
Bibliography 350(2)
Index to the Problems and Solutions 352
Mattias Blennow is an Associate Professor in Theoretical Astroparticle Physics at KTH Royal Institute of Technology, Stockholm, Sweden. His research is mainly directed towards the physics of neutrinos and dark matter and beyond the Standard Model physics. He is the author of the textbook Mathematical Methods for Physics and Engineering (CRC Press, 2019). He has more than fifteen years of experience in teaching and has taught special and general relativity both as a lecturer and as a teaching assistant. Tommy Ohlsson is Professor of Theoretical Physics at KTH Royal Institute of Technology, Stockholm, Sweden. He has also been a Visiting Professor at University of Iceland, Reykjavik, Iceland, during several years. His main research field is theoretical particle physics, especially neutrino physics and physics beyond the Standard Model. He has written the textbook Relativistic Quantum Physics: From Advanced Quantum Mechanics to Introductory Quantum Field Theory (Cambridge, 2011). He has over twenty-five years of university level teaching experience in relativity theory and physics in general.