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This book compiles thoughtfully curated selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries.
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The author set out to solve the classical and famous problems including Isoperimetric Problem, Brachistochrone Curve Problem, N-Body Problems, Geodesic Curve Problem, Minimal Surface Problem, Dirichlet Principle, Minimax Problems, Rabinowitz Minimal Period Conjecture, etc.
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Describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to... Læs mere
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Covers recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, and moment differential equations.
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Provides the first comprehensive introduction to smooth ergodic theory. The book first introduces the core of the theory and then discusses more advanced topics. It includes more than 80 exercises.
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Presents the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs,... Læs mere
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The first and so far only book that covers all the fundamental facts about chaotic billiards in a complete and systematic manner. The book contains all the necessary definitions, full... Læs mere
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Contains papers on the development and assessment of approximation and solution techniques that can take advantage of parallel computers. This work is... Læs mere
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Combines the discussions of two workshops: one devoted to wavelets, multigrid and other fast algorithms (multipole, FFT) and their use in wave propagation, and another... Læs mere