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Prepare students for success in using applied mathematics for engineering practice and post-graduate studies
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The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids and elastic structures, and fluid dynamics and the new challenges that they present. Other control theoretic problems include parabolic systems, dynamical Lame systems, linear and nonlinear hyperbolic equations, and pseudo-differential operators on a manifold. This is a valuable tool authored by international specialists in the field.
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The text is organized into three parts: A Library of Elementary Functions (Chapter 1), Finite Mathematics (Chapters 2-7, 14), and Calculus (Chapters 8-13). My Lab™ Math is not included. Students, if My Lab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. My Lab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
The timeliness of a manuscript is more than its form, which may be unfinished or tentative. Thus, in some instances, proofs may be merely outlined and results presented which have been or will later be published elsewhere. If possible, a subject index should be included. Publication of Lecture Notes is intended as a service to the international mathematical community, in that a commercial publisher, Springer-Verlag, can offer a wide distribution of documents which would otherwise have a restricted readership. Once published and copyrighted, they can be documented in the scientific literature.
The book places the fundamental tenets of computer programming into the context of MATLAB, employing hands-on exercises, examples from the engineering industry, and a variety of core tools to increase programming proficiency and capability. With this knowledge, students are prepared to adapt learned concepts to other programming languages.
In addition to standard introductory material on the subject, such as Lagrange’s and Sylow’s theorems in group theory, the text provides important specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. The book also focuses on broader background, including brief but representative discussions of naive set theory and equivalents of the axiom of choice, quadratic reciprocity, Dirichlet’s theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises throughout facilitate a thorough understanding of the material.
Also available with Pearson MyLab MathematicsPearson MyLab™ Mathematics is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.Students, if interested in purchasing this title with Pearson MyLab Mathematics, ask your instructor for the correct ISBN and Course ID. Instructors, contact your Pearson representative for more information.
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