Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod
This online textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica.
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by Stefan Grosskinsky - University of Warwick
Interacting particle systems (IPS) are models for complex phenomena involving a large number of interrelated components. Examples exist within all areas of natural and social sciences, such as traffic flow on highways, constituents of a cell, etc.
by Sanjoy Mahajan - The MIT Press
The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.
by E. V. Huntington, L. A. Fischer - McGraw Hill
The Handbook contains, in compact form, accurate statements of those facts and formulas of mathematics which are likely to be useful to the worker in applied mathematics. It is thought to be more comprehensive than any other similar work in English.
by F. Przytycki, M. Urbanski - Cambridge University Press
An introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments.