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Ordinary Differential Equations
A. K. NandakumaranP. S. DattiRaju K. George
其他書名
Principles and Applications
出版Cambridge University Press, 2017-05-11
主題Mathematics / GeneralMathematics / Differential Equations / GeneralMathematics / Discrete MathematicsScience / Mechanics / Statics
ISBN11084164119781108416412
URLhttp://books.google.com.hk/books?id=lE9bDwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.