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Advanced Engineering Mathematics de Lawrence Turyn

Advanced Engineering Mathematics

Autor Lawrence Turyn
en Limba Engleză Hardback – 25 sep 2013
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 integrating science and engineering throughout the text. It explores the use of engineering applications, carefully explains links to engineering practice, and introduces the mathematical tools required for understanding and utilizing software packages.
  • Provides comprehensive coverage of mathematics used by engineering students
  • Combines stimulating examples with formal exposition and provides context for the mathematics presented
  • Contains a wide variety of applications and homework problems
  • Includes over 300 figures, more than 40 tables, and over 1500 equations
  • Introduces useful Mathematica™ and MATLAB® procedures
  • Presents faculty and student ancillaries, including an online student solutions manual, full solutions manual for instructors, and full-color figure sides for classroom presentations
Advanced Engineering Mathematics covers ordinary and partial differential equations, matrix/linear algebra, Fourier series and transforms, and numerical methods. Examples include the singular value decomposition for matrices, least squares solutions, difference equations, the z-transform, Rayleigh methods for matrices and boundary value problems, the Galerkin method, numerical stability, splines, numerical linear algebra, curvilinear coordinates, calculus of variations, Liapunov functions, controllability, and conformal mapping.
This text also serves as a good reference book for students seeking additional information. It incorporates Short Takes sections, describing more advanced topics to readers, and Learn More about It sections with direct references for readers wanting more in-depth information.
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Specificații

ISBN-13: 9781439834473
ISBN-10: 1439834474
Pagini: 1456
Ilustrații: 353 b/w images, 48 tables and 1500
Dimensiuni: 178 x 254 x 69 mm
Greutate: 2.61 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Public țintă

Beginning graduate engineering students, junior and senior undergraduate engineering students taking an advanced engineering math course, a reference for engineers, applied mathematicians and researchers.

Cuprins

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.

Recenzii

"… 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

Notă biografică

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.

Descriere

This self-contained, thorough text addresses the mathematical knowledge gaps of advanced undergraduate and beginning graduate students in engineering. It extends their knowledge of previously studied topics and introduces new topics. The text begins with coverage of linear algebra progressing to calculus of variations. It covers all the core material, including ODEs, matrix algebra, Fourier series and transforms, numerical methods, and PDEs. After studying this book, students will be mathematically prepared for engineering courses at the graduate level. Ancillary materials for students and instructors are available with qualifying course adoption.