Assuming only an undergraduate-level background in mathematics, this book explains the power of thinking probabilistically through a diverse set of applications drawn from science. It covers a wide range of topics never before discussed together in a unified fashion while keeping technicalities to a minimum.
Assuming only an undergraduate-level background in mathematics, this book explains the power of thinking probabilistically through a diverse set of applications drawn from science. It covers a wide range of topics never before discussed together in a unified fashion while keeping technicalities to a minimum.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Ariel Amir is a Professor at Harvard University, Massachusetts. His research centers on the theory of complex systems.
Inhaltsangabe
1. Introduction 2. Random walks 3. Langevin and Focker-Planck equations and their applications 4. Escape over a barrier 5. Noise 6. Generalized central limit theorem and extreme value statistics 7. Anomalous diff usion 8. Random matrix theory 9. Percolation theory Appendix A. Review of basic probability concepts and common distributions Appendix B. A brief linear algebra reminder, and some Gaussian integrals Appendix C. Contour integration and Fourier transform refresher Appendix D. Review of Newtonian mechanics, basic statistical mechanics and Hessians Appendix E. Minimizing functionals, the divergence theorem and saddle point approximations Appendix F. Notation, notation... References Index.
1. Introduction 2. Random walks 3. Langevin and Focker-Planck equations and their applications 4. Escape over a barrier 5. Noise 6. Generalized central limit theorem and extreme value statistics 7. Anomalous diff usion 8. Random matrix theory 9. Percolation theory Appendix A. Review of basic probability concepts and common distributions Appendix B. A brief linear algebra reminder, and some Gaussian integrals Appendix C. Contour integration and Fourier transform refresher Appendix D. Review of Newtonian mechanics, basic statistical mechanics and Hessians Appendix E. Minimizing functionals, the divergence theorem and saddle point approximations Appendix F. Notation, notation... References Index.
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