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### An Introduction to Black Holes Information and the String Theory Revolution by Leonard Susskind and James Lindesay

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An Introduction to Black Holes Information and the String Theory Revolution written by Leonard Susskind and James Lindesay , The Holographic Universe This is an other great mathematics book cover the following topics.

• Part 1: Black Holes and Quantum Mechanics

• 1.The Schwarzschild Black Hole
1.1 Schwarzschild Coordinates
1.2 Tortoise Coordinates
1.3 Near Horizon Coordinates (Rindler space)
1.4 Kruskal–Szekeres Coordinates
1.5 Penrose Diagrams
1.6 Formation of a Black Hole
1.7 Fidos and Frefos and the Equivalence Principle

• 2.Scalar Wave Equation in a Schwarzschild Background
2.1 Near the Horizon

• 3.Quantum Fields in Rindler Space
3.1 Classical Fields
3.2 Entanglement
3.3 Review of the Density Matrix
3.4 The Unruh Density Matrix
3.5 Proper Temperature

• 4.Entropy of the Free Quantum Field in Rindler Space
4.1 Black Hole Evaporation

• 5.Thermodynamics of Black Holes

• 6.Charged Black Holes

• 7.The Stretched Horizon

• 8.The Laws of Nature
8.1 Information Conservation
8.2 Entanglement Entropy
8.3 Equivalence Principle
8.4 Quantum Xerox Principle

• 9.The Puzzle of Information Conservation in Black Hole Environments
9.1 A Brick Wall?
9.2 Black Hole Complementarity
9.3 Baryon Number Violation

• 10.Horizons and the UV/IR Connection

• Part 2: Entropy Bounds and Holography

• 11.Entropy Bounds
11.1 Maximum Entropy
11.2 Entropy on Light-like Surfaces
11.3 Friedman–Robertson–Walker Geometry
11.4 Bousso’s Generalization
11.5 de Sitter Cosmology
11.6 Anti de Sitter Space

• 12.The Holographic Principle and Anti de Sitter Space
12.1 The Holographic Principle
12.5 The Infrared Ultraviolet Connection
12.6 Counting Degrees of Freedom

• 13.Black Holes in a Box
13.1 The Horizon
13.2 Information and the AdS Black Hole

• Part 3: Black Holes and Strings

• 151
14.1 Light Cone Quantum Mechanics
14.2 Light Cone String Theory
14.3 Interactions
14.4 Longitudinal Motion
• 15.Entropy of Strings and Black Holes

• Conclusions

• Bibliography

• Index

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