Advanced Engineering Mathematics
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Advanced Engineering Mathematics

Advanced Engineering Mathematics


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About the Book

Beginning with linear algebra and later expanding into calculus of variations, Advanced Engineering Mathematics provides accessible and comprehensive mathematical preparation for advanced undergraduate and beginning graduate students taking engineering courses. This book offers a review of standard mathematics coursework while effectively integrati

Table of Contents:
Linear Algebraic Equations, Matrices, and Eigenvalues. Matrix Theory. Scalar ODEs I: Homogeneous Problems. Scalar ODEs II: Nonhomogeneous Problems. Linear Systems of ODEs. Geometry, Calculus, and Other Tools. Integral Theorems, Multiple Integrals, and Applications. Numerical Methods I. Fourier Series. Partial Differential Equations Models. Separation of Variables for PDEs. Numerical Methods II. Optimization. Calculus of Variations. Functions of a Complex Variable. Conformal Mappings and the Laplace Equation. Integral Transform Methods. Nonlinear Ordinary Differential Equations. Key Terms. Reference. Appendices. Index.

About the Author :
Dr. Larry Turyn is a professor of mathematics and statistics at Wright State University in Dayton, Ohio, where he has taught for 31 years. He earned degrees from Brown University and the Columbia University Fu Foundation School of Engineering and Applied Science. He has also been a Fellow and sessional instructor at the University of Calgary. At Wright State University he has developed several courses in engineering mathematics, differential equations, and applied analysis. Dr. Turyn has authored 26 articles in the fields of differential equations, eigenvalue problems, and applied mathematics.

Review :
"... great expositions of many topics that are usually omitted in similar books but are important in applications. For instance, least square solutions are presented at great detail. Another strength of Turyn's book is a collection of exercises. ... the selection of topics which makes the book very attractive." -Vladimir A. Dobrushkin, University of Rhode Island "The author has considerable experience teaching mathematical methods to engineers and he has produced an effective textbook based on that experience. The topics are broad, standard and appropriate. The exposition is aimed at the engineering student who has limited background in rigorous mathematics but who has experience in both application and computation." -Paul Eloe, University of Dayton "... well organized and its stuff is concisely presented. It covers almost every topic that should appear in an engineering textbook. It contains many examples to help students to understand. The material is presented in a conductive way and easy to follow. This book will be an ideal option for both first-time and advanced learners, thanks to its clarity in presentation and comprehensiveness in contents." -Xiaojun Yuan, Institute of Network Coding, The Chinese University of Hong Kong "The materials are well-written and self-contained. Examples are appropriate for better understanding of the theorems and definitions that are presented. Exercise problems are of varied difficulties, and they are suitable for the related topics presented in the book." -Muhammad N. Islam, University of Dayton


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Product Details
  • ISBN-13: 9781439834480
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Language: English
  • No of Pages: 1455
  • ISBN-10: 1439834482
  • Publisher Date: 25 Sep 2013
  • Binding: Digital (delivered electronically)
  • No of Pages: 1455


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