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Relatively Painless Guide to Special Relativity [Mīkstie vāki]

  • Formāts: Paperback / softback, 192 pages, height x width x depth: 229x152x20 mm, weight: 286 g, 92 halftones, 2 line drawings
  • Izdošanas datums: 20-Jul-2023
  • Izdevniecība: University of Chicago Press
  • ISBN-10: 0226821854
  • ISBN-13: 9780226821856
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  • Cena: 28,71 €
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Relatively Painless Guide to Special RelativityPalielināt
  • Formāts: Paperback / softback, 192 pages, height x width x depth: 229x152x20 mm, weight: 286 g, 92 halftones, 2 line drawings
  • Izdošanas datums: 20-Jul-2023
  • Izdevniecība: University of Chicago Press
  • ISBN-10: 0226821854
  • ISBN-13: 9780226821856
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9780226821856.html
Keywords:
Serious and accessible—finally the special relativity course book that both physics majors and lifelong learners deserve.
 
Special relativity challenges one’s physical intuition of space, time, matter, and energy in a way that few other topics in physics do. Yet the subject is often treated as an extra in undergraduate courses—something to be picked up in a few random lectures and presented as a combination of geometric and logical puzzles (seemingly with the premise of getting the novice student to concede that Einstein was a genius and that the universe is weird). But special relativity is absolutely fundamental to modern physics. It is the canvas on which electromagnetism, particle physics, field theory, and ultimately general relativity are based. For physics students, developing a relativistic intuition isn’t just a luxury: it’s a requirement.
 
Physicist and popular author Dave Goldberg provides a rigorous but conversational introduction to fill this void in spacetime education. Employing the standard calculus a sophomore or junior university student in science, engineering, or computer science will have encountered, Goldberg connects relativity to a student’s work ahead, acquainting them with topics like tensors, the development of new physical theories, and how relativity directly relates to other disciplines. But more than this, Goldberg welcomes lifelong learners who may have encountered special relativity in popular accounts, but are seeking a mathematical challenge to understand an elegant physical theory.

Recenzijas

"There are myriad introductory books on special relativity. This one distinguishes itself by working through the mathematics of relativity in a very detailed yet conversational fashion. . . . Highly recommended." * Choice * Introducing students in small, careful steps toward an understanding of the notation and physics behind special relativity has not been undertaken at this level since the text by Taylor and Wheeler from thirty years ago. Goldbergs approach of encouraging the reader to see the simplicity behind the seemingly complex is welcome. -- Christopher G. Tully, author of "Elementary Particle Physics in a Nutshell" This engaging book will shape the education of a generation of physicists and astrophysicists. It defines the conceptual and mathematical stagespacetimeon which physics is performed. From contemporary notation in the early chapters to sophisticated applications in the late chapters, Goldberg's book will not only propel students to more advanced classes, it will ease their entry into research. -- Daniel Fabrycky, Department of Astronomy and Astrophysics, University of Chicago Goldberg slings the reader straight in at the deep end . . . but with enough masterly wit to keep you afloat. * Nature, on "The Universe in the Rearview Mirror" * Reading this book is like taking a class with the most awesome science professor ever. -- Annalee Newitz, founding editor of io9, on "The Universe in the Rearview Mirror" Most physics books cant really be described as rollicking, but most physics books aren't written by Dave Goldberg. -- Sean Carroll, theoretical physicist at Caltech, author of "The Particle at the End of the Universe," on "The Universe in the Rearview Mirror"

Preface ix
A Note to Instructors xi
1 Space
1(25)
1.1 What Relativity Is
1(2)
1.2 Measuring Distances
3(8)
1.2.1 Tensors
3(6)
1.2.2 The Metric
9(2)
1.3 Coordinate Transformations
11(6)
1.3.1 Frames of Reference
11(1)
1.3.2 Translation
12(2)
1.3.3 Rotation
14(3)
1.4 A Very Brief Introduction to Group Theory
17(2)
1.5 Not All Transformations Are Metric Invariant
19(4)
1.5.1 Scaling
20(2)
1.5.2 Polar Coordinates
22(1)
1.6 Problems
23(3)
2 Spacetime
26(23)
2.1 The Speed of Light
27(5)
2.1.1 Natural Units
28(1)
2.1.2 Natural and Geometrized Units
29(2)
2.1.3 The Invariant Speed of Light
31(1)
2.2 Spacetime Diagrams
32(4)
2.2.1 Events, Worldlines, and All That
32(3)
2.2.2 The Future and the Past
35(1)
2.2.3 Why Time Is Different
35(1)
2.3 The Minkowski Metric
36(8)
2.3.1 4-Vectors
36(1)
2.3.2 Intervals
37(5)
2.3.3 Where the Minkowski Metric Comes From
42(2)
2.4 Einstein's Postulates
44(2)
2.5 Problems
46(3)
3 Lorentz Transforms
49(28)
3.1 Conic Sections
49(3)
3.2 Time Dilation
52(6)
3.2.1 Rocket Science
52(2)
3.2.2 The Gamma Factor
54(2)
3.2.3 Time Dilation Is for Real
56(2)
3.3 The Galilean Transforms
58(1)
3.4 The Lorentz Transforms
59(5)
3.4.1 Velocity Addition
63(1)
3.5 Length Contraction
64(3)
3.6 The4-Velocity
67(4)
3.7 The Lorentz Group
71(2)
3.8 Problems
73(4)
4 Paradoxes
77(17)
4.1 The Twin Paradox
78(3)
4.2 The Train Paradox
81(2)
4.3 The Ladder Paradox
83(4)
4.4 Ehrenfest Paradox
87(2)
4.5 Superluminal Motion
89(2)
4.6 Problems
91(3)
5 Momentum and Energy
94(25)
5.1 Doppler Shifts
94(5)
5.2 Einstein's and Newton's Laws
99(2)
5.3 Mass Energy
101(10)
5.3.1 From Mass to Light
101(2)
5.3.2 Implication: Mass Is Energy
103(3)
5.3.3 Relativistic Momentum
106(2)
5.3.4 4 Momentum
108(2)
5.3.5 Frames of Reference
110(1)
5.4 Force
111(5)
5.4.1 Acceleration
111(2)
5.4.2 Relativistic Rocket Science
113(3)
5.5 Problems
116(3)
6 Fluids
119(14)
6.1 Dust
119(2)
6.2 4-Current
121(8)
6.2.1 Derivatives
123(1)
6.2.2 Why "Upstairs" and "Downstairs" Indices Are Different
124(1)
6.2.3 Conservation Laws
125(2)
6.2.4 What Happens If the Metric Isn't Flat?
127(2)
6.3 Stress-Energy Tensor
129(2)
6.4 Problems
131(2)
7 Electromagnetism
133(17)
7.1 Moving Charges
133(2)
7.2 Maxwell's Equations
135(2)
7.3 4-Potential
137(1)
7.4 The Faraday Tensor
138(3)
7.5 Maxwell's Laws in Special Relativity
141(5)
7.5.1 The Bianchi Identity
141(1)
7.5.2 One Equation!
142(2)
7.5.3 Radiation
144(2)
7.6 The Lorentz Force Law
146(1)
7.7 Problems
147(3)
8 A Brief Introduction to General Relativity
150(11)
8.1 The Equivalence Principle
150(3)
8.2 Rotating Reference Frames
153(1)
8.3 Gravitational Redshifting
154(2)
8.4 What General Relativity Might (and Does) Look Like
156(3)
8.5 Problems
159(2)
Appendix A Notation and Tensor Rules
161(4)
A.1 Notation
161(1)
A.2 Tensor Rules
162(1)
A.3 Vector Operations in Cartesian Coordinates
163(2)
Appendix B Answers to Selected Problems
165(6)
Bibliography 171(4)
Index 175
Dave Goldberg is professor in and director of the Undergraduate Physics Program at Drexel University. He is the author of The Standard Model in a Nutshell and The Universe in the Rearview Mirror, as well as coauthor of The Users Guide to the Universe. He lives with his wife and daughters in Philadelphia, Pennsylvania.