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Google圖書搜尋
Difference Equations
Walter G. Kelley
Allan C. Peterson
其他書名
An Introduction with Applications
出版
Harcourt/Academic Press
, 2001
主題
Mathematics / General
Mathematics / Algebra / Linear
Mathematics / Calculus
Mathematics / Differential Equations / General
Mathematics / Combinatorics
ISBN
012403330X
9780124033306
URL
http://books.google.com.hk/books?id=WZOnnMNZLrYC&hl=&source=gbs_api
註釋
Difference Equations, Second Edition
, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics.
* Phase plane analysis for systems of two linear equations
* Use of equations of variation to approximate solutions
* Fundamental matrices and Floquet theory for periodic systems
* LaSalle invariance theorem
* Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory
* Appendix on the use of
Mathematica
for analyzing difference equaitons
* Exponential generating functions
* Many new examples and exercises