Physical Mathematics by Michael P. Brenner

Small book cover: Physical Mathematics

Physical Mathematics

Publisher: Harvard University
Number of pages: 250

The goal of this course is to give a modern introduction to mathematical methods for solving hard mathematics problems that arise in the sciences -- physical, biological and social. Our aim therefore is to teach, within a broad suite of examples, how computer simulations and analytical calculations can be effectively combined. In this course, we will begin with problems that are simple polynomial equations and first order differential equations -- and slowly march our way towards the study nonlinear partial differential equations.

Download or read it online for free here:
Download link
(4.6MB, PDF)

Similar books

Book cover: Computational PhysicsComputational Physics
by - ETH Zurich
Contents: Introduction; The Classical Few-Body Problem; Partial Differential Equations;The classical N-body problem; Integration methods; Percolation; Magnetic systems; The quantum one-body problem; The quantum N body problem; and more.
Book cover: Computational Turbulent Incompressible FlowComputational Turbulent Incompressible Flow
by - Springer
In this book we address mathematical modeling of turbulent fluid flow, and its many mysteries that have haunted scientist over the centuries. We approach these mysteries using a synthesis of computational and analytical mathematics.
Book cover: High Performance Computing and Numerical ModellingHigh Performance Computing and Numerical Modelling
by - arXiv
These are lecture notes about high performance computing and numerical modelling in 43rd Saas Fee Advanced Course winter school, specifically covering the basics of numerically treating gravity and hydrodynamics in the context of galaxy evolution.
Book cover: Introduction to Computational Physics and Monte Carlo Simulations of Matrix Field TheoryIntroduction to Computational Physics and Monte Carlo Simulations of Matrix Field Theory
by - arXiv
We give an elementary introduction to computational physics. We deal with the problem of how to set up working Monte Carlo simulations of matrix field theories which involve finite dimensional matrix regularizations of noncommutative field theories.