Larry Turyn ... 1455 pages -
Publisher: CRC Press; 1st edition (September, 2013) ...
Language: English -
ISBN-10: 1439834474 -
ISBN-13: 978-1439834473 ...
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.