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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
Breaking with the tradition that literature about the direction and coordination of military forces should only deal with technology and procedures, this work also takes into account the underlying domestic conditions of a conflict, including cultural, personal and political relations. The book focuses on two instances, where fundamental assumptions were at loggerheads and provides a theoretical nuts and bolts approach introduced within the opening chapters.
This book is a compendium of fundamental mathematical concepts, methods, models, and their wide range of applications in diverse fields of engineering. It comprises essentially a comprehensive and contemporary coverage of those areas of mathematics which provide foundation to electronic, electrical, communication, petroleum, chemical, civil, mechanical, biomedical, software, and financial engineering. It gives a fairly extensive treatment of some of the recent developments in mathematics which have found very significant applications to engineering problems.
Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is illustrated by plentiful examples. Symmetries and conservation laws of differential equations are studied. Specific equations and problems of mechanics and physics are considered, and exact solutions are given for the following equations: dynamics of rigid body, heat transfer, wave, hydrodynamics, Thomas-Fermi and more. The author pays particular attention to the application of group analysis to developing asymptotic methods of applied mathematics in problems with small parameter. The methods are used to solve basic equations (Van Der Pol's equation, Duffing equation, etc.) encountered in the theory of nonlinear oscillations. This book is intended for a wide range of scientists, engineers and students in the fields of applied mathematics, mechanics and physics.
The book presents improved equations for monthly water resources models, in particular for interception and transpiration. Most of the existing monthly models do not make a distinction between interception and transipiration, while this distinction is very important for management purposes. Interception is direct feedback to the atmosphere, important to sustain rainfall. Transpiration is a good indicator for plant growth and biomass production. This distinction also contributes to the estimation of recharge and therewith of runoff.;The derivations are based on the Markov theory for the occurrence of rain-days. The methodology can be used on the basis of an analysis of a few time series of daily data, at a spatial scale of 300km and not necessarily of the same period as the monthly data. Zimbabwe served as the case study, but derived equations can be used worldwide as long as the relationship between the monthly rainfall and the mean number of rain-days can be established.
This workbook is a companion to Applied Math for Wastewater Plant Operators (ISBN: 9780877628095) and part of the Applied Math for Wastewater Plant Operators Set (ISBN: 9781566769891). It contains self-teaching guides for all wastewater treatment calculations, skill checks, hundreds of worked examples, and practice problems.
With its fresh reader-friendly design, MATHEMATICS FOR ELECTRICITY AND ELECTRONICS, 4E equips learners with a thorough understanding of essential algebra and trigonometry for electricity and electronics technology. Well-illustrated information sharpens the reader's ability to think quantitatively, predict results, and troubleshoot effectively, while problem sets for drill and practice reinforce comprehension. To ensure mastery of the latest ideas and technology, the book thoroughly explains all mathematical concepts, symbols, and formulas required by future technicians and technologists.
Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science.
Two critical questions arise when one is confronted with a new problem that involves the collection and analysis of data. How will the use of statistics help solve this problem? Which techniques should be used? Statistics for Environmental Engineers, Second Edition helps environmental science and engineering students answer these questions when the goal is to understand and design systems for environmental protection. The second edition of this bestseller is a solutions-oriented text that encourages students to view statistics as a problem-solving tool.
An understanding of statistical principles and methods is essential for any scientist but is particularly important for those in the life sciences. The field biologist faces very particular problems and challenges with statistics as "real life" situations such as collecting insects with a sweep net or counting seagulls on a cliff face can hardly be expected to be as reliable or controllable as a laboratory-based experiment. Acknowledging the peculiarities of field-based data and its interpretation, Practical Statistics for Field Biology introduces readers to the principles and methods of statistical analysis allowing them to understand research reports in journals, decide on the most appropriate statistical tests for their own problems and finally to analyse and present their findings. To enhance the usefulness of this book, the new edition incorporates the more advanced method of multivariate analysis, introducing the nature of multivariate problems and describing the techniques of principal components analysis, cluster analysis and discriminant analysis which are all applied to biological examples. An appendix detailing the statistical computing packages available has also been included. Practical Statistics for Field biology will be of interest to undergraduates studying ecology, biology, and earth and environmental sciences. In addition, it will be useful for postgraduates who are not familiar with the application of multivariate techniques and practising field biologists working in these areas. Review of the First Edition "In summary, Practical Statistics for Field Biology is an excellent introductory text for first and second year undergraduate courses in biology." Trends in Ecology & Evolution What the lecturers said about the First Edition: "An excellent introductory guide to statistics." "Applicable examples in an understandable text."
Functions as a self-study guide for engineers and as a textbook for nonengineering students and engineering students, emphasizing generic forms of differential equations, applying approximate solution techniques to examples, and progressing to specific physical problems in modular, self-contained chapters that integrate into the text or can stand alone! This reference/text focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM). Discusses the general notion of approximate solutions and associated errors! With 1500 equations and more than 750 references, drawings, and tables, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods: -Describes the approximate solution of ordinary and partial differential equations using the finite difference method -Covers the method of weighted residuals, including specific weighting and trial functions -Considers variational methods -Highlights all aspects associated with the formulation of finite element equations -Outlines meshing of the solution domain, nodal specifications, solution of global equations, solution refinement, and assessment of results Containing appendices that present concise overviews of topics and serve as rudimentary tutorials for professionals and students without a background in computational mechanics, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods is a blue-chip reference for civil, mechanical, structural, aerospace, and industrial engineers, and a practical text for upper-levelundergraduate and graduate students studying approximate solution techniques and the FEM.
The goal of Norman H. Anderson's new book is to help students develop skills of scientific inference. To accomplish this he organized the book around the "Experimental Pyramid"--six levels that represent a hierarchy of considerations in empirical investigation--conceptual framework, phenomena, behavior, measurement, design, and statistical inference. To facilitate conceptual and empirical understanding, Anderson de-emphasizes computational formulas and null hypothesis testing. Other features include: *emphasis on visual inspection as a basic skill in experimental analysis to help students develop an intuitive appreciation of data patterns; *exercises that emphasize development of conceptual and empirical application of methods of design and analysis and de-emphasize formulas and calculations; and *heavier emphasis on confidence intervals than significance tests. The book is intended for use in graduate-level experimental design/research methods or statistics courses in psychology, education, and other applied social sciences, as well as a professional resource for active researchers. The first 12 chapters present the core concepts graduate students must understand. The next nine chapters serve as a reference handbook by focusing on specialized topics with a minimum of technicalities.
Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level.
Based on selected papers presented at the 19th International Federatio Includes essential data on exact boundary controllability of thermoela Written by more than 25 specialists in various disciplines Providing o ver 1700 equations, tables, and references, this state-of-the-art refe rence is an invaluable tool for mathematical analysts in control, opti mization, distributed systems, and modeling; applied mathematicians; c ontrol, electrical, and electronics engineers; computer scientists; an d upper-level undergraduate and graduate students in these disciplines .
Stop searching through the endless amount of literature to find the mo st recent information on plate buckling. The authors of Handbook of Th in Plate Buckling and Post Buckling have already done the work for you . Detailed and clearly written, the book contains a comprehensive, up- to-date treatment of the buckling and postbuckling behavior of perfect and imperfect thin plates. The authors study, in detail and with spec ific solved examples, the essential factors that influence critical bu ckling loads, initial mode shapes, and postbuckling behavior for thin plates. Through their analysis of rectangular, circular, and annular p lates, they present valuable information, some of which has never befo re been published in book form. Such topics include hygrothermal buckl ing, viscoelastic and plastic buckling, and buckling of various thickn ess plates. With this important collection, the Handbook of Thin Plate Buckling and Post Buckling provides you with a one-stop source of cur rent research findings.
Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the most important techniques useful to applied mathematicians and engineers.
A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics.
In the competitive business arena companies must continually strive to create new and better products faster, more efficiently, and more cost effectively than their competitors to gain and keep the competitive advantage. Computer-aided design (CAD), computer-aided engineering (CAE), and computer-aided manufacturing (CAM) are now the industry standard. These seven volumes give the reader a comprehensive treatment of the techniques and applications of CAD, CAE, and CAM.
Transfer function form, zpk, state space, modal, and state space modal forms. For someone learning dynamics for the first time or for engineers who use the tools infrequently, the options available for constructing and representing dynamic mechanical models can be daunting. It is important to find a way to put them all in perspective and have them available for quick reference.
Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis.
Additional Resource Materials
Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the special constraints of individual applications.
Although the basic statistical theory behind modern genetics is not
very difficult, most statistical genetics papers are not easy to
read for beginners in the field, and formulae quickly become very
tedious to fit a particular area of application.
How do you analyze pretest-posttest data? Difference scores? Percent change scores? ANOVA? In medical, psychological, sociological, and educational studies, researchers often design experiments in which they collect baseline (pretest) data prior to randomization. However, they often find it difficult to decide which method of statistical analysis is most appropriate to use. Until now, consulting the available literature would prove a long and arduous task, with papers sparsely scattered throughout journals and textbook references few and far between. |
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