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Differential equationsa primer for s...

Constanda, Christian.

Differential equationsa primer for scientists and engineers /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential equationsby Christian Constanda.
其他題名:	a primer for scientists and engineers /
作者:	Constanda, Christian.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xvii, 297 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations.
電子資源:	http://dx.doi.org/10.1007/978-3-319-50224-3
ISBN:	9783319502243$q(electronic bk.)

Differential equationsa primer for scientists and engineers /
Constanda, Christian.

Differential equationsa primer for scientists and engineers /[electronic resource] :by Christian Constanda. - 2nd ed. - Cham :Springer International Publishing :2017. - xvii, 297 p. :ill., digital ;24 cm. - Springer undergraduate texts in mathematics and technology,1867-5506. - Springer undergraduate texts in mathematics and technology..

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 -- 10. Numerical Methods -- A. Algebra Techniques -- B. Calculus Techniques -- C. Table of Laplace Transforms -- D. The Greek Alphabet -- Further Reading -- Answers to Odd-Numbered Exercises -- Index.

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 differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; (with D. Doty and W. Hamill) Boundary Integral Equation Methods and Numerical Solutions ISBN: 978-3-319-26307-6; Mathematical Methods for Elastic Plates ISBN: 978-1-4471-6433-3; (with G.R. Thomson) Stationary Oscillations of Elastic Plates ISBN: 978-0-8176-8340-8. Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE)

ISBN: 9783319502243$q(electronic bk.)

Standard No.: 10.1007/978-3-319-50224-3doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.35

Differential equationsa primer for scientists and engineers /
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505 0 $a 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 -- 10. Numerical Methods -- A. Algebra Techniques -- B. Calculus Techniques -- C. Table of Laplace Transforms -- D. The Greek Alphabet -- Further Reading -- Answers to Odd-Numbered Exercises -- Index.
520 $a 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 differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; (with D. Doty and W. Hamill) Boundary Integral Equation Methods and Numerical Solutions ISBN: 978-3-319-26307-6; Mathematical Methods for Elastic Plates ISBN: 978-1-4471-6433-3; (with G.R. Thomson) Stationary Oscillations of Elastic Plates ISBN: 978-0-8176-8340-8. Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE)
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