Scale invariance : self-similarity of the physical world /
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Main Authors: | |
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Corporate Authors: | |
Published: |
Wiley-VCH Verlag GmbH & Co. KGaA,
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Publisher Address: | Weinheim, Germany : |
Publication Dates: | 2015. |
Literature type: | eBook |
Language: | English |
Edition: | First edition. |
Subjects: | |
Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9783527687343 |
Carrier Form: | 1 online resource |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9783527687336 3527687335 9783527687343 3527687343 9783527687350 3527687351 9783527687367 352768736X |
Index Number: | QC174 |
CLC: | O414.2 |
Contents: |
""Cover ""; ""Contents ""; ""Preface ""; ""Acknowledgments ""; ""Introduction ""; ""Chapter 1 Arbitrary Measures of the Physical World ""; ""1.1 Similarity ""; ""1.2 Dimensional Similarity ""; ""1.3 Physical Equations and the 'Pi' Theorem ""; ""1.4 Applications of the Pi Theorem "" ""1.4.1 Plane Pendulum """"1.4.2 Pipe Flow of a Fluid ""; ""1.4.3 Steady Motion of a Rigid Object in Viscous 'Fluid' ""; ""1.4.4 Diffusion and Self-Similarity ""; ""1.4.5 Ship Wave Drag ""; ""1.4.6 Adiabatic Gas Flow ""; ""1.4.7 Time-Dependent Adiabatic Flow "" ""1.4.8 Point Explosion in a Gaseous Medium """"1.4.9 Applications in Fundamental Physics ""; ""1.4.10 Drag on a Flexible Object in Steady Motion ""; ""1.4.11 Dimensional Analysis of Mammals ""; ""1.4.12 Trees ""; ""References ""; ""Chapter 2 Lie Groups and Scaling Symmetry "" ""2.1 The Rescaling Group """"2.1.1 Rescaling Physical Objects ""; ""2.1.2 Reconciliation with the Buckingham Pi Theorem ""; ""2.1.3 Rescaling and Self-Similarity as a Lie Algebra ""; ""2.1.4 Practical Lie Self-Similarity ""; ""2.2 Familiar Physical Examples "" ""2.2.1 Line Vortex Diffusion: Reprise """"2.2.2 Burgers' Equation ""; ""2.3 Less Familiar Examples ""; ""2.3.1 Self-Gravitating Collisionless Particles: The Boltzmann-Poisson Problem ""; ""References ""; ""Chapter 3 PoincarA Group Plus Rescaling Group""; ""3.1 Galilean Space-Time ""; ""3.2 Minkowski Space-Time "" |