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This book presents ordinary differential equations based on Lie group analysis and related invariance principles. The author provides students and teachers with a text for one-semester undergraduate and graduate courses that spans a variety of topics, from the basic theory through to applications.
In applied mathematics, nonlinear semigroups techniques often impact diverse problems from modeling traffic flows, to neutron transport, to coagulation. This text introduces theory and application of semigroups of both linear and nonlinear operators used to develop mathematical models which monitor the status of systems over time.
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