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Differential Equations: A Primer for Scientists and Engineers

✍ Scribed by Christian Constanda (auth.)


Publisher
Springer-Verlag New York
Year
2013
Tongue
English
Leaves
272
Series
Springer Undergraduate Texts in Mathematics and Technology
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages i-xv
Introduction....Pages 1-13
First-Order Equations....Pages 15-40
Mathematical Models with First-Order Equations....Pages 41-59
Linear Second-Order Equations....Pages 61-102
Mathematical Models with Second-Order Equations....Pages 103-116
Higher-Order Linear Equations....Pages 117-136
Systems of Differential Equations....Pages 137-185
The Laplace Transformation....Pages 187-219
Series Solutions....Pages 221-248
Algebra Techniques....Pages 249-252
Calculus Techniques....Pages 253-254
Table of Laplace Transforms....Pages 255-255
The Greek Alphabet....Pages 257-257
Back Matter....Pages 249-263

✦ Subjects


Difference and Functional Equations


πŸ“œ SIMILAR VOLUMES


Differential Equations: A Primer for Sci
✍ Christian Constanda (auth.) πŸ“‚ Library πŸ“… 2017 πŸ› Springer International Publishing 🌐 English

<p>This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra a

Differential Equations: A Primer for Sci
✍ Christian Constanda πŸ“‚ Library πŸ“… 2017 πŸ› Springer 🌐 English

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and

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✍ Allan Struthers, Merle Potter πŸ“‚ Library πŸ“… 2019 πŸ› Springer International Publishing 🌐 English

<p><p>This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes

Differential Equations: For Scientists a
✍ Allan Struthers; Merle Potter πŸ“‚ Library πŸ“… 2019 πŸ› Springer 🌐 English

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to