科学者・工学者のための微分方程式の初歩（テキスト）<br>Differential Equations : A Primer for Scientists and Engineers (Springer Undergraduate Texts in Mathematics and Technology)

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科学者・工学者のための微分方程式の初歩（テキスト）
Differential Equations : A Primer for Scientists and Engineers (Springer Undergraduate Texts in Mathematics and Technology)

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  • 製本 Hardcover:ハードカバー版／ページ数 263 p.
  • 言語 ENG
  • 商品コード 9781461472964
  • DDC分類 515

Full Description


Differential Equations for Scientists and Engineers is a book designed with students in mind. It attempts to take a concise, simple, and no-frills approach to differential equations. The approach used in this text is to give students extensive experience in main solution techniques with a lighter emphasis on the physical interpretation of the results. With a more manageable page count than comparable titles, and over 400 exercises that can be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct fashion. At the end of each worked example, the author provides the Mathematica commands that can be used to check the results and where applicable, to generate graphical representations. It can be used independently by the average student, while those continuing with the subject will develop a fundamental framework with which to pursue more advanced material. This book is designed for undergraduate students with some basic knowledge of precalculus algebra and a first course in calculus.

Contents

1. Introduction.- 2. First Order Equations.- 3. Mathematical Models with First-Order Equations.- 4. Linear Second-Order Equations.- 4. Higher-Order Equations.- 5. Mathematical Models with Second-Order Equations.- 6. Higher-Order Linear Equations.- 7. Systems of Differential Equations.- 8. The Laplace Transformation.- 9. Series Solutions.- A. Algebra Techniques.- B. Calculus Techniques.- C. Table of Laplace Transforms.- D. The Greek Alphabet.