Differential Equations : A First Course on ODE and a Brief Introduction to PDE - Antonio Ambrosetti - 書籍 - De Gruyter - 9783111185248 - 2023年12月18日
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Differential Equations : A First Course on ODE and a Brief Introduction to PDE 2 Revised edition

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The 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.

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2023年12月18日
ISBN13 9783111185248
出版社 De Gruyter
ページ数 378
寸法 150 × 220 × 10 mm   ·   639 g

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