
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics.
The author focuses on the classic applications of self-similar solutions within astrophysical systems, with some general theory of self-similar solutions, so as to provide a framework for researchers to apply the principles across all scientific disciplines. He discusses recent advances in theoretical techniques of scaling while presenting a uniform technique that encompasses these developments, as well as applications to almost any branch of quantitative science.
The result is an invaluable reference for active scientists, featuring examples of dimensions and scaling in condensed matter physics, astrophysics, fluid mechanics, and general relativity, as well as in mathematics and engineering.
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Information
Table of contents
- Cover
- Related Titles
- Title Page
- Copyright
- Table of Contents
- Dedication
- Preface
- Acknowledgments
- Introduction
- Chapter 1: Arbitrary Measures of the Physical World
- Chapter 2: Lie Groups and Scaling Symmetry
- Chapter 3: Poincaré Group Plus Rescaling Group
- Chapter 4: Instructive Classic Problems
- Chapter 5: Variations on Lie Self-Similarity
- Chapter 6: Explorations
- Chapter 7: Renormalization Group and Noether Invariants
- Chapter 8: Scaling in Hydrodynamical Turbulence
- Epilogue
- Appendix: Examples from the Literature
- Index
- End User License Agreement