000			02293nam a2200277 4500
005			20250623102727.0
008			250623b |||||||| |||| 00| 0 eng d
020			_a9783111185248
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB33 R4
100			_aAmbrosetti, Antonio _eauthor.
245			_aDifferential equations _b: A first course on ODE and a brief introduction to PDE
250			_a2nd ed.
260			_aBerlin : _bWalter de gruyter, _c2024.
300			_axv, 361 p. _b: ill. _c; 24 cm.
500			_aIncludes index and bibliography
520			_aThe first part of this book is mainly intended as a textbook for students at the Sophomore-Junior level, majoring in mathematics, engineering, or the sciences in general. The book includes the basic topics in Ordinary Differential Equations, normally taught at the undergraduate level, such as linear and nonlinear equations and systems, Bessel functions, Laplace transform, stability, etc. It is written with ample flexibility to make it appropriate either as a course stressing application, or a course stressing rigor and analytical thinking. It also offers sufficient material for a one-semester graduate course, covering topics such as phase plane analysis, oscillation, Sturm-Liouville equations, Euler-Lagrange equations in Calculus of Variations, first and second order linear PDE in 2D. There are substantial lists of exercises at the ends of the chapters. In this edition complete solutions to all even number problems are given in the back of the book. The 2nd edition also includes some new problems and examples. An effort has been made to make the material more suitable and self-contained for undergraduate students with minimal knowledge of Calculus. For example, a detailed review of matrices and determinants has been added to the chapter on systems of equations. The second edition also contains corrections of some misprints and errors in the first edition.
650			_aDifferential equations
650			_aMathematics
650			_aLaplace transform.Euler _9813612
650			_aPhase plane analysis. _9813613
650			_aEuler-Lagrange equations _9813614
700			_aAhmad, Shair _eco-author.
942			_2CC _cTEXL _e2nd ed. _hB33 R4 _n0
999			_c1432125 _d1432125