UID:
edoccha_9961427165202883
Format:
1 online resource (574 pages) :
,
illustrations.
Edition:
1st ed.
ISBN:
1-315-18313-7
,
1-5231-1386-3
,
1-351-72726-5
,
1-351-72727-3
Series Statement:
Textbooks in Mathematics
Content:
Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential equations as a part of analysis.
Note:
chapter 1 Some Prerequisite Topics -- part 1 Part I First Order Scalar Equations -- chapter 2 The Idea of a Differential Equation -- chapter 3 Methods -- part 2 Part II Scalar Linear Differential Equations, Methods -- chapter 4 Homogeneous Linear Equations -- chapter 5 Nonhomogeneous Equations -- chapter 6 Laplace Transform Methods -- part 3 Part III Series Methods -- chapter 7 A Review of Power Series -- chapter 8 Power Series Methods -- part 4 Part IV First Order Systems -- chapter 9 Methods for First Order Linear Systems -- chapter 10 First Order Linear Systems, Theory -- chapter 11 Theory of Ordinary Differential Equations -- chapter 12 Equilibrium Points and Limit Cycles -- part 5 Part V Partial Differential Equations -- chapter 13 Boundary Value Problems, Fourier Series -- chapter 14 Some Partial Differential Equations.
Additional Edition:
ISBN 1-138-74091-8
Language:
English
DOI:
10.1201/9781315183138
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