Geo.Engineerings

Constantine Pozrikidis ... 1296 pages - Publisher: Oxford Univ. Press; 2nd edition (September, 2011) ...
Language: English - ISBN-10: 0199752079 - ISBN-13: 978-0199752072 ... 

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow. The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework. A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.

Prem Kythe, D. Wei ... 445 pages - Publisher: Birkhäuser; 1st edition (November, 2013) ... Language: English - ISBN-10: 1461264669 - ISBN-13: 978-1461264668.

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences.  This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects.  Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects.  The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics.  The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Although finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics. Unlike existing texts designed with specific applications to a particular field of mechanical, civil, or chemical engineering, the emphasis here is on interdisciplinary applications. One- and two-dimensional linear and nonlinear initial/boundary value problems are solved using finite element, Newton's, and conjugate gradient methods.  Mathematical theory is kept to a minimum, making the text accessible to students with varied backgrounds.

Nicholas J. Higham, Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa, Jared Tanner  ...
1016 pages - Publisher: Princeton University Press; (September 15, 2015)
Language: English - ISBN-10: 0691150397 - ISBN-13: 978-0691150390

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more.

Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics.

Features nearly 200 entries organized thematically and written by an international team of distinguished contributors + Presents the major ideas and branches of applied mathematics in a clear and accessible way + Explains important mathematical concepts, methods, equations, and applications + Introduces the language of applied mathematics and the goals of applied mathematical research + Gives a wide range of examples of mathematical modeling + Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more + Explores the connections between applied mathematics and other disciplines + Includes suggestions for further reading, cross-references, and a comprehensive index.