The purpose of the monograph known physics and mathematics Roger Penrose is the search for fundamental principles underlying our universe, and governing the proceeding processes. We can say that this book is essentially devoted to the relations between mathematics and physics, the interaction between the two disciplines, which plays a significant role in the quest to move on in search of a better theory to describe the Universe.
Specialist in any field will find in this monograph is useful; perhaps the author's point of view on some subjects is different (sometimes quite radically) from the generally accepted, but this will allow us to look at actual problems of modern science from different angles and be closer to the truth. Of great interest is his opinion on several contemporary theories, such as supersymmetry theory, expanding Universe cosmology, hypothesis on the nature of the Big Bang and black holes, string theory or M-theory, loop variables in quantum gravity, the theory of twistors, and in fact the fundamental principles of quantum theory. The book will be of undoubted interest both among the experts of natural-scientific disciplines, and a wide range of readers.
2007. Hardcover. 912 S. 2118 RUB.
ISBN 978-5-93972-618-4
| The content |
Preface
Thanks
About the legend
Prologue
Chapter 1. The origins of science
Chapter 2. An ancient theorem and a modern question
Chapter 3. Types of numbers in the physical world
Chapter 4. Magical complex numbers
Chapter 5. Geometry of logarithms, powers and roots
Chapter 6. Calculus real numbers
Chapter 7. Calculus of complex numbers
Chapter 8. Riemann surfaces and complex mapping
Chapter 9. The Fourier decomposition and hyperfunctions
Chapter 10. The surface
Chapter 11. Hypercomplex functions
Chapter 12. n-dimensional manifolds
Chapter 13. Symmetry groups
Chapter 14. Mathematical analysis on manifolds
Chapter 15. Stratified spaces and gauge connection
Chapter 16. The ladder of infinity
Chapter 17. Space - time
Chapter 18. The Geometry Of Minkowski
Chapter 19. Classical fields of Maxwell and Einstein
Chapter 20. Lagrangians and Hamiltonians
Chapter 21. Quantum particle
Chapter 22. Quantum algebra, geometry and spin
Chapter 23. Entangled quantum world
Chapter 24. Dirac's electron and antiparticles
Chapter 25. Elementary particle physics: standard model
Chapter 26. Quantum field theory
Chapter 27. The big Bang and its thermodynamic legacy
Chapter 28. Speculative theories of the early Universe
Chapter 29. The paradox of measurement
Chapter 30. The role of gravity in quantum state reduction
Chapter 31. Supersymmetry, strings and adrasmansky
Chapter 32. A narrow path of Einstein. Loop variables
Chapter 33. A more radical look. Theory Victorov
Chapter 34. Where lies the path to reality?
Epilogue
Literature
Index
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