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The book contains seven survey papers about ordinary differential equations.The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.The purpose of this volume is to inform the mathematical community and als
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This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis
Proof theory. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Logic, Symbolic and mathematical --- 517.1 --- Proof theory --- 517 --- 517 Analysis --- Analysis
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This volume contains papers covering the theory of nonlinear PDEs and the related topics which have been recently developed in Japan.
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The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discussesthe most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calc
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Computational Techniques for Differential Equations
Differential equations --- Differential equations, Partial --- Numerical solutions --- 517.91 Differential equations --- 517.91 --- Congresses
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Trends in the theory and practice of non-linear analysis
Mathematical analysis --- Nonlinear theories --- 517.1 Mathematical analysis --- 517.1 --- Congresses
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Spectral Theory of Random Matrices
Mathematical analysis --- Mathematical analysis. --- 517 --- 517 Analysis --- Analysis --- Analyse mathématique --- ELSEVIER-B EPUB-LIV-FT --- Mathematics. --- Differential calculus --- Math --- Science --- 517.1 Mathematical analysis
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Mathematical analysis --- Analyse mathématique --- 517.1 Mathematical analysis
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The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE's, written by leading experts.- Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts
Differential equations --- Mathematics. --- Math --- Science --- 517.91 Differential equations
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