This reference, divided into two volumes, offers engineers the most up-to-date analysis of the the dynamics of structure and foundation, designed for engineers who work with earthquake or dynamic analysis (and for those who work with machine foundations in the oil, gas and energy sectors). Dynamics of Structure is noted for the comprehensive and in depth path it forges – the authors’ impeccable research and classic presentation allow the reader to dig into the heart of a complex subject as a means to developing a thorough understanding of core engineering principles. Given recent devastating earthquakes at different corners of the world, it is obvious that the information contained in these pages is vital to retrofitting the infrastructures of the world.
Recommended for both the practicing professional and for instructors in advanced engineering programs.
The disciplines of physics and engineering are based in mathematical method – in essence, math is the cornerstone of scientific study allowing for researchers to dissect a problem and then reassemble it, revealing its core in the nakedness of the process. In this text, Riley (University of Cambridge) and co-writers have created a magnificent primer that offers comprehensive coverage of all mathematical principles relevant to the physical sciences. In turn, the following topics are analyzed: Preliminary algebra; preliminary calculus; complex numbers and hyperbolic functions; series and limits; partial differentiation; multiple integrals; vector algebra; matrices and vector spaces; normal modes; vector calculus; line, surface and volume integrals; Fourier series; integral transforms; first-order ordinary differential equations; higher-order ordinary differential equations; series solutions of ordinary differential equations; eigenfunction methods for differential equations; special functions; quantum operators; partial differential equations (general and particular); partial differential equations (separation of variables); calculus of variations; integral equations; complex variables; application of complex variables; tensors; numerical methods; group theory; representation theory; probability; and statistics. In addition, the authors have included over 800 practice exercises, half of which contain solutions. This feature is note worthy because it re-enforces the time-honored foundational principles behind teaching mathematics: Basically, the study of higher mathematics is a process of trial and error, and students do not retain their lessons unless they are able to investigate problems, point-by-point, through rote practice. To this end, the exercises provided allow readers to immediately apply the theories of the text to the actual process of mathematics.
Recommended as a supporting class text in any engineering or physical science class, serving as a trusty companion for the student whose course of study is predicated on the realms of advanced mathematics.
In Statistical Practice, Coleman and co-authors delve into advancements in the way that statistical and optimization methods are applied to various realms of modern industry. In today’s vastly competitive business world, the use of statistics is vital, enabling manufacturers to isolate quality control issues and then increase both productivity and profitability. Here, the authors have created a ‘real-life’ manual that examines a variety of statistical methods from a wide-range of industries (finance, e-commerce, electronics, engineering and household manufacturing), with expert analysis on the statistical methods essential to each area of focus. One of the primary reasons this volume stands-out is because of its vision. Specifically, the authors have built a text which does not require the reader to be a statistician in order to follow the narrative or glean an understanding of the data. Instead, chapters and information are clearly presented and well-defined, with the writing designed to convey information in a style that educates rather than pontificates. Additionally, the inclusion of myriad problem-solving strategies for business serve to elevate Statistical Practice above the walls the classroom, rendering it an indispensable manual for the in-the-trenches administrator.
Recommended as a secondary or supporting course text for students in engineering and statistical programs. Also, this volume would prove useful to administrators in manufacturing or finance who use statistical models on a day-to-day basis.
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This important text covers the theory and algorithms of nonlinear programming in comprehensive terms – a tried and true resource that has the potential to open myriad doors within the mind of the student, this in depth exploration into a subject that marries aspects of applied mathematics and industrial engineering. As noted in the publisher’s summary of Nonlinear Programming, this work is premised on “the problem of optimizing an objective function in the presence of equality and inequality constraints [since] many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints…” In turn, this text covers the three major parts of nonlinear programming (convex analysis; optimality conditions; algorithms and their convergence) in clear and insightful prose that employs richly illustrated examples in order to bring the student to the core principles of the discipline. Now in its fully-updated third edition, readers will benefit from coverage of topic areas such as interior point methods and nonconvex optimization that represent the latest research in the field. In addition, the numerical problems and advanced theoretical exercises serve to test the reader on retention as material is presented. Noted and recommended for its logical format and sharp editing that never wavers in its focus.
Highly recommended as a core-classroom text in the fields of Operations Research, Management Science, Industrial Engineering or Applied Mathematics (with an emphasis on those engineering disciplines that utilize analytical optimization techniques).
This text serves to help students in the advanced sciences review myriad mathematical concepts. The mission of this text is to allow students to revisit core principles in mathematics as they apply to the sciences and to engineering. The book focuses on practical applications and includes exercises that test readers on problems likely to be encountered in real-world situations. Includes chapters on integral equations; calculus of variations; tensor analysis; and partial fractions. Fanchi is an accomplished writer who is able to communicate in a clear and straight-forward manner – drawing the student into the material rather than creating deeper layers of intimidation.
Recommended as a supporting class text in all science and engineering courses where graduation from the curriculum includes a re-testing of mathematical skills/ efficiency.