微分方程方向经典书籍刚开始接触微分方程,需要一些经典书籍(外文的也可以),最好有推荐理由,
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微分方程方向经典书籍
刚开始接触微分方程,需要一些经典书籍(外文的也可以),最好有推荐理由,
刚开始接触微分方程,需要一些经典书籍(外文的也可以),最好有推荐理由,
Stephen Wiggins写的
Introduction to applied nonlinear dynamical systems and chaos
这是一本微分方程的入门书,写得非常详细.本科生或研究生都可以用.有些学校把这本书作为研究生教材,有的比较好的大学在本科阶段就以它为教材了.这是一本Springer-Verlag图书,可以购买,也可以下载
http://pdfdatabase.com/download_file_i.php?file=4552718&desc=Wiggins+S.%2C+Introduction+to+Applied+Nonlinear+Dynamical+Systems+%26amp%3B+Chaos%2C+1996+.pdf
About this textbook
This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics.
This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.
Introduction to applied nonlinear dynamical systems and chaos
这是一本微分方程的入门书,写得非常详细.本科生或研究生都可以用.有些学校把这本书作为研究生教材,有的比较好的大学在本科阶段就以它为教材了.这是一本Springer-Verlag图书,可以购买,也可以下载
http://pdfdatabase.com/download_file_i.php?file=4552718&desc=Wiggins+S.%2C+Introduction+to+Applied+Nonlinear+Dynamical+Systems+%26amp%3B+Chaos%2C+1996+.pdf
About this textbook
This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics.
This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.
微分方程方向经典书籍刚开始接触微分方程,需要一些经典书籍(外文的也可以),最好有推荐理由,
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