[书籍] 微分方程与数学物理问题
出版社:
高等教育出版社
简介:
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the authors own theoretical developments. The book —— which aims to present new mathematical curricula based on symmetry and invariance principles —— is tailored to develop analytic skills and "working knowledge" in both classical and Lies methods for solving linear and nonlinear equations. This approach helps to make courses n differential equations， mathematical modelling， distributions and fundamental solution， etc. easy to follow and interesting for students. The book is based on the authors extensive teaching experience at Novosibirsk and Moscow universities in Russia， College de France， Georgia Tech and Stanford University in the United States， universities in South Africa， Cyprus， Turkey， and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics. The book can be used as a main textbook by undergraduate and graduate students and university lecturers in applied mathematics， physics and engineering.
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