Complex Analysis for Practical Engineering

Author: Kozo Sato

Publisher: Springer

ISBN: 3319130633

Category: Technology & Engineering

Page: 309

View: 8815

Maximizing reader insights into the fundamentals of complex analysis, and providing complete instructions on how to construct and use mathematical tools to solve engineering problems in potential theory, this book covers complex analysis in the context of potential flow problems. The basic concepts and methodologies covered are easily extended to other problems of potential theory. Featuring case studies and problems that aid readers understanding of the key topics and of their application to practical engineering problems, this book is suitable as a guide for engineering practitioners. The complex analysis problems discussed in this book will prove useful in solving practical problems in a variety of engineering disciplines, including flow dynamics, electrostatics, heat conduction and gravity fields.

Complex Variables and the Laplace Transform for Engineers

Author: Wilbur R. LePage

Publisher: Courier Corporation

ISBN: 0486136442

Category: Technology & Engineering

Page: 512

View: 1418

Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.

Complex Analysis for Mathematics and Engineering

Author: John H. Mathews,Russell W. Howell

Publisher: Jones & Bartlett Publishers

ISBN: 1449604455

Category: Mathematics

Page: 645

View: 4744

Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.

Complex Analysis

Author: Dennis G. Zill,Patrick D. Shanahan

Publisher: Jones & Bartlett Publishers

ISBN: 1449694624

Category: Mathematics

Page: 475

View: 2775

Complex Analysis: A First Course with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. New and Key Features: Clarity of exposition supported by numerous examples Extensive exercise sets with a mix of computational and conceptual problems Applications to science and engineering throughout the text New and revised problems and exercise sets throughout Portions of the text and examples have been revised or rewritten to clarify or expand upon the topics at hand The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software.

Digital Signal Processing: A Practical Guide for Engineers and Scientists

Author: Steven Smith

Publisher: Elsevier

ISBN: 0080477321

Category: Technology & Engineering

Page: 672

View: 3501

In addition to its thorough coverage of DSP design and programming techniques, Smith also covers the operation and usage of DSP chips. He uses Analog Devices' popular DSP chip family as design examples. Covers all major DSP topics Full of insider information and shortcuts Basic techniques and algorithms explained without complex numbers

Practical Reliability Engineering and Analysis for System Design and Life-Cycle Sustainment

Author: William Wessels

Publisher: CRC Press

ISBN: 1420094408

Category: Technology & Engineering

Page: 497

View: 4406

In today’s sophisticated world, reliability stands as the ultimate arbiter of quality. An understanding of reliability and the ultimate compromise of failure is essential for determining the value of most modern products and absolutely critical to others, large or small. Whether lives are dependent on the performance of a heat shield or a chip in a lab, random failure is never an acceptable outcome. Written for practicing engineers, Practical Reliability Engineering and Analysis for System Design and Life-Cycle Sustainment departs from the mainstream approach for time to failure-based reliability engineering and analysis. The book employs a far more analytical approach than those textbooks that rely on exponential probability distribution to characterize failure. Instead, the author, who has been a reliability engineer since 1970, focuses on those probability distributions that more accurately describe the true behavior of failure. He emphasizes failure that results from wear, while considering systems, the individual components within those systems, and the environmental forces exerted on them. Dependable Products Are No Accident: A Clear Path to the Creation of Consistently Reliable Products Taking a step-by-step approach that is augmented with current tables to configure wear, load, distribution, and other essential factors, this book explores design elements required for reliability and dependable systems integration and sustainment. It then discusses failure mechanisms, modes, and effects—as well as operator awareness and participation—and also delves into reliability failure modeling based on time-to-failure data considering a variety of approaches. From there, the text demonstrates and then considers the advantages and disadvantages for the stress-strength analysis approach, including various phases of test simulation. Taking the practical approach still further, the author covers reliability-centered failure analysis, as well as condition-based and time-directed maintenance. As a science, reliability was once considered the plaything of statisticians reporting on time-to-failure measurements, but in the hands of a practicing engineer, reliability is much more than the measure of an outcome; it is something to be achieved, something to quite purposely build into a system. Reliability analysis of mechanical design for structures and dynamic components demands a thorough field-seasoned approach that first looks to understand why a part fails, then learns how to fix it, and finally learns how to prevent its failing. Ultimately, reliability of mechanical design is based on the relationship between stress and strength over time. This book blends the common sense of lessons learned with mechanical engineering design and systems integration, with an eye toward sustainment. This is the stuff that enables organizations to achieve products valued for their world-class reliability.

Geometry of Surfaces

A Practical Guide for Mechanical Engineers

Author: Stephen P. Radzevich

Publisher: John Wiley & Sons

ISBN: 1118522710

Category: Technology & Engineering

Page: 264

View: 4914

Presents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.

Complex Analysis with Applications in Science and Engineering

Author: Harold Cohen

Publisher: Springer Science & Business Media

ISBN: 0387730583

Category: Mathematics

Page: 477

View: 8128

The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Practical Engineering Statistics

Author: Daniel Schiff,Ralph B. D'Agostino

Publisher: John Wiley & Sons

ISBN: 9780471547686

Category: Technology & Engineering

Page: 309

View: 5117

PRACTICAL ENGINEERING STATISTICS This lucidly written book offers engineers and advanced students all the essential statistical methods and techniques used in day-to-day engineering work. Without unnecessary digressions into formal proofs or derivations, Practical Engineering Statistics shows how to select the appropriate statistical method for a specific task and then how to apply it correctly and confidently. Clear explanations supported by real-world examples lead the reader step-by-step through each procedure. Topics covered include product design and development; estimations of the mean value and variability of measured data; comparison of processes or products; the relationships between variables; and more. With its emphasis on practical use and its full range of engineering applications, Practical Engineering Statistics serves as an indispensable, time-saving reference for all engineers working in design, reliability, assurance, scheduling, and manufacturing. PRACTICAL ENGINEERING STATISTICS While engineers are frequently involved in projects that require the application of statistical methods to analysis, prediction, and planning, their background in statistics is often insufficient to the task. In many cases the engineer has had little training in statistics beyond the concepts of the mean, the standard deviation, the median, and the quartile. Even those who have had one or more courses in statistics will, at times, encounter problems which are beyond their capacity to solve or understand. Practical Engineering Statistics is designed to give engineers the knowledge to select the statistical approach that is most appropriate to the problem at hand and the skills to confidently apply this approach to specific cases. It provides the engineer with the statistical tools needed to perform the job effectively, whether it is pro-duct design and development, estimation of the mean value and variability of measured data, comparison of processes or products, or the relationship between variables. Its authors bring two different areas of expertise to this unique book: statistics and engineering physics. In Practical Engineering Statistics their collaboration has produced a book that clearly leads engineers step-by-step through each procedure, without time-consuming and unnecessary discussions of proofs and derivations. Statistical procedures are discussed and explained in detail and demonstrated through real-world sample problems, with correct answers always provided. Readers learn how to determine which data represent true observations and which, through human error or flawed data, are false observations. Complex problems are presented with computer printouts of the database, intermediate steps, and results. Numerous illustrations and tables of all commonly used distributions enhance the usefulness of this invaluable book. Virtually all engineers and advanced students, especially those in mechanical, civil, electrical, aerospace, and chemical engineering, Practical Engineering Statistics is an indispensable reference that will give them the tools to do the statistical part of their work quickly and accurately.

A Quick Introduction to Complex Analysis

Author: Kalyan Chakraborty,Shigeru Kanemitsu,Takako Kuzumaki

Publisher: World Scientific Publishing Company

ISBN: 9813108533

Category: Mathematics

Page: 208

View: 642

The aim of the book is to give a smooth analytic continuation from calculus to complex analysis by way of plenty of practical examples and worked-out exercises. The scope ranges from applications in calculus to complex analysis in two different levels. If the reader is in a hurry, he can browse the quickest introduction to complex analysis at the beginning of Chapter 1, which explains the very basics of the theory in an extremely user-friendly way. Those who want to do self-study on complex analysis can concentrate on Chapter 1 in which the two mainstreams of the theory — the power series method due to Weierstrass and the integration method due to Cauchy — are presented in a very concrete way with rich examples. Readers who want to learn more about applied calculus can refer to Chapter 2, where numerous practical applications are provided. They will master the art of problem solving by following the step by step guidance given in the worked-out examples. This book helps the reader to acquire fundamental skills of understanding complex analysis and its applications. It also gives a smooth introduction to Fourier analysis as well as a quick prelude to thermodynamics and fluid mechanics, information theory, and control theory. One of the main features of the book is that it presents different approaches to the same topic that aids the reader to gain a deeper understanding of the subject.

Engineering Mathematics with Examples and Applications

Author: Xin-She Yang

Publisher: Academic Press

ISBN: 012809902X

Category: Mathematics

Page: 400

View: 450

Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students gain more insights and build sufficient confidence in engineering mathematics and problem-solving. The main approach and style of this book is informal, theorem-free, and practical. By using an informal and theorem-free approach, all fundamental mathematics topics required for engineering are covered, and readers can gain such basic knowledge of all important topics without worrying about rigorous (often boring) proofs. Certain rigorous proof and derivatives are presented in an informal way by direct, straightforward mathematical operations and calculations, giving students the same level of fundamental knowledge without any tedious steps. In addition, this practical approach provides over 100 worked examples so that students can see how each step of mathematical problems can be derived without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner. Covers fundamental engineering topics that are presented at the right level, without worry of rigorous proofs Includes step-by-step worked examples (of which 100+ feature in the work) Provides an emphasis on numerical methods, such as root-finding algorithms, numerical integration, and numerical methods of differential equations Balances theory and practice to aid in practical problem-solving in various contexts and applications

Practical MATLAB Basics for Engineers

Author: Misza Kalechman

Publisher: CRC Press

ISBN: 9781420047752

Category: Mathematics

Page: 712

View: 4530

A comprehensive and accessible primer, this tutorial immerses engineers and engineering students in the essential technical skills that will allow them to put Matlab® to immediate use. The book covers concepts such as: functions, algebra, geometry, arrays, vectors, matrices, trigonometry, graphs, pre-calculus and calculus. It then delves into the Matlab language, covering syntax rules, notation, operations, computational programming, and general problem solving in the areas of applied mathematics and general physics. This knowledge can be used to explore the basic applications that are detailed in Misza Kalechman’s companion volume, Practical Matlab Applications for Engineers (cat no. 47760). .

Neural Networks for Applied Sciences and Engineering

From Fundamentals to Complex Pattern Recognition

Author: Sandhya Samarasinghe

Publisher: CRC Press

ISBN: 9781420013061

Category: Computers

Page: 570

View: 8262

In response to the exponentially increasing need to analyze vast amounts of data, Neural Networks for Applied Sciences and Engineering: From Fundamentals to Complex Pattern Recognition provides scientists with a simple but systematic introduction to neural networks. Beginning with an introductory discussion on the role of neural networks in scientific data analysis, this book provides a solid foundation of basic neural network concepts. It contains an overview of neural network architectures for practical data analysis followed by extensive step-by-step coverage on linear networks, as well as, multi-layer perceptron for nonlinear prediction and classification explaining all stages of processing and model development illustrated through practical examples and case studies. Later chapters present an extensive coverage on Self Organizing Maps for nonlinear data clustering, recurrent networks for linear nonlinear time series forecasting, and other network types suitable for scientific data analysis. With an easy to understand format using extensive graphical illustrations and multidisciplinary scientific context, this book fills the gap in the market for neural networks for multi-dimensional scientific data, and relates neural networks to statistics. Features § Explains neural networks in a multi-disciplinary context § Uses extensive graphical illustrations to explain complex mathematical concepts for quick and easy understanding ? Examines in-depth neural networks for linear and nonlinear prediction, classification, clustering and forecasting § Illustrates all stages of model development and interpretation of results, including data preprocessing, data dimensionality reduction, input selection, model development and validation, model uncertainty assessment, sensitivity analyses on inputs, errors and model parameters Sandhya Samarasinghe obtained her MSc in Mechanical Engineering from Lumumba University in Russia and an MS and PhD in Engineering from Virginia Tech, USA. Her neural networks research focuses on theoretical understanding and advancements as well as practical implementations.

Practical Reliability Engineering

Author: Patrick O'Connor,Patrick D. T. O'Connor,Andre Kleyner

Publisher: John Wiley & Sons

ISBN: 0470979828

Category: Technology & Engineering

Page: 512

View: 1849

With emphasis on practical aspects of engineering, this bestseller has gained worldwide recognition through progressive editions as the essential reliability textbook. This fifth edition retains the unique balanced mixture of reliability theory and applications, thoroughly updated with the latest industry best practices. Practical Reliability Engineering fulfils the requirements of the Certified Reliability Engineer curriculum of the American Society for Quality (ASQ). Each chapter is supported by practice questions, and a solutions manual is available to course tutors via the companion website. Enhanced coverage of mathematics of reliability, physics of failure, graphical and software methods of failure data analysis, reliability prediction and modelling, design for reliability and safety as well as management and economics of reliability programmes ensures continued relevance to all quality assurance and reliability courses. Notable additions include: New chapters on applications of Monte Carlo simulation methods and reliability demonstration methods. Software applications of statistical methods, including probability plotting and a wider use of common software tools. More detailed descriptions of reliability prediction methods. Comprehensive treatment of accelerated test data analysis and warranty data analysis. Revised and expanded end-of-chapter tutorial sections to advance students’ practical knowledge. The fifth edition will appeal to a wide range of readers from college students to seasoned engineering professionals involved in the design, development, manufacture and maintenance of reliable engineering products and systems. www.wiley.com/go/oconnor_reliability5

Complex Analysis

Author: Elias M. Stein,Rami Shakarchi

Publisher: Princeton University Press

ISBN: 1400831156

Category: Mathematics

Page: 400

View: 2139

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Computational Transport Phenomena for Engineering Analyses

Author: Richard C. Farmer,Ralph W. Pike,Gary C. Cheng,Yen-Sen Chen

Publisher: CRC Press

ISBN: 1439882053

Category: Science

Page: 530

View: 8072

Although computer technology has dramatically improved the analysis of complex transport phenomena, the methodology has yet to be effectively integrated into engineering curricula. The huge volume of literature associated with the wide variety of transport processes cannot be appreciated or mastered without using innovative tools to allow comprehension and study of these processes. Connecting basic principles with numerical methodology for solving the conservations laws, Computational Transport Phenomena for Engineering Analyses presents the topic in terms of modern engineering analysis. The book includes a production quality computer source code for expediting and illustrating analyses of mass, momentum, and energy transport. The text covers transport phenomena with examples that extend from basic empirical analyses to complete numerical analyses. It includes a computational transport phenomena (CTP) code written in Fortran and developed and owned by the authors. The code does not require a lease and can run on a PC or a supercomputer. The authors also supply the source code, allowing users to modify the code to serve their particular needs, once they are familiar with the code. Using the CTP code, grid generation and solution procedures are described and visual solution presentations are illustrated thus offering extensive coverage of the methodology for a wide range of applications. The authors illustrate and emphasize that the very general solutions afforded by solving the unsteady, multidimensional transport equations for real multicomponent fluids describe an immense body of physical processes. Bringing together a wealth of professional and instructional experience, this book stresses a problem-solving approach that uses one set of computational and graphical tools to describe all aspects of the analysis. It provides understanding of the principles involved so that code improvements and/or use of commercial codes can be accomplished knowledgeably.

Higher Mathematics for Physics and Engineering

Author: Hiroyuki Shima,Tsuneyoshi Nakayama

Publisher: Springer Science & Business Media

ISBN: 9783540878643

Category: Science

Page: 688

View: 987

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

COMPLEX VARIABLES

THEORY AND APPLICATIONS

Author: H. S. KASANA

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120326415

Category: Mathematics

Page: 504

View: 3853

The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Practical Reservoir Engineering and Characterization

Author: Richard O. Baker,Harvey W. Yarranton,Jerry Jensen

Publisher: Gulf Professional Publishing

ISBN: 0128018232

Category: Technology & Engineering

Page: 534

View: 8298

Practical Reservoir Characterization expertly explains key technologies, concepts, methods, and terminology in a way that allows readers in varying roles to appreciate the resulting interpretations and contribute to building reservoir characterization models that improve resource definition and recovery even in the most complex depositional environments. It is the perfect reference for senior reservoir engineers who want to increase their awareness of the latest in best practices, but is also ideal for team members who need to better understand their role in the characterization process. The text focuses on only the most critical areas, including modeling the reservoir unit, predicting well behavior, understanding past reservoir performance, and forecasting future reservoir performance. The text begins with an overview of the methods required for analyzing, characterizing, and developing real reservoirs, then explains the different methodologies and the types and sources of data required to characterize, forecast, and simulate a reservoir. Thoroughly explains the data gathering methods required to characterize, forecast, and simulate a reservoir Provides the fundamental background required to analyze, characterize, and develop real reservoirs in the most complex depositional environments Presents a step-by-step approach for building a one, two, or three-dimensional representation of all reservoir types

Introductory Complex Analysis

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486318524

Category: Mathematics

Page: 400

View: 8387

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.