# Search Results for "vector-analysis-for-engineers-and-scientists-modern-applications-of-mathematics"

## Mathematical Techniques for Engineers and Scientists

**Author**: Larry C. Andrews,Ronald L. Phillips**Publisher:**SPIE Press**ISBN:**9780819445063**Category:**Mathematics**Page:**797**View:**8994

As technology continues to move ahead, modern engineers and scientists are frequently faced with difficult mathematical problems that require an ever greater understanding of advanced concepts. Designed as a self-study text for practicing engineers and scientists, as well as a useful reference, the book takes the reader from ordinary differential equations to more sophisticated mathematics--Fourier analysis, vector and tensor analysis, complex variables, partial differential equations, and random processes. The emphasis is on the use of mathematical tools and techniques. The general exposition and choice of topics appeals to a wide audience of applied practitioners.

## Tensor Analysis for Physicists

**Author**: Jan Arnoldus Schouten**Publisher:**Courier Corporation**ISBN:**0486655822**Category:**Science**Page:**277**View:**4786

This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition.

## Mathematics for Engineers and Scientists, Sixth Edition

**Author**: Alan Jeffrey**Publisher:**CRC Press**ISBN:**9781584884880**Category:**Mathematics**Page:**1016**View:**1090

Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition. Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis. Among the most significant revisions to this edition are: Simplified presentation of many topics and expanded explanations that further ease the comprehension of incoming engineering students A new chapter on double integrals Many more exercises, applications, and worked examples A new chapter introducing the MATLAB and Maple software packages Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study. The author strongly encourages readers to make use of computer algebra software, to experiment with it, and to learn more about mathematical functions and the operations that it can perform.

## Matrix Analysis for Scientists and Engineers

**Author**: Alan J. Laub**Publisher:**SIAM**ISBN:**0898715768**Category:**Mathematics**Page:**157**View:**3760

"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.

## A Course In Vector And Matrix Analysis For Engineers And Physicists

**Author**: A.K. Mukhopadhyay,S. Sengupta**Publisher:**N.A**ISBN:**9789380578026**Category:****Page:**280**View:**5235

With the advancement of technology and general science, the applications of Mathematics becoming more and more extensive requiring on in-depth knowledge of different mathematical tools. This volume introduces students of Engineering and Physics to those areas of Mathematics which, from a modern point of view, seem to be very important in connection with practical problems. Almost all the chapters contained in the book deal with various aspects and applications of vector and matrices. The applications have established them as important tools for solving physical and engineering systems.

## Advanced Engineering Mathematics

**Author**: Alan Jeffrey**Publisher:**Elsevier**ISBN:**9780080522968**Category:**Mathematics**Page:**1184**View:**4501

Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) that reinforce ideas and provide insight into more advanced problems. Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results Contents selected and organized to suit the needs of students, scientists, and engineers Contains tables of Laplace and Fourier transform pairs New section on numerical approximation New section on the z-transform Easy reference system

## Mathematical Methods

*For Students of Physics and Related Fields*

**Author**: Sadri Hassani**Publisher:**Springer Science & Business Media**ISBN:**038721562X**Category:**Mathematics**Page:**659**View:**8790

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

## Algebra and Analysis for Engineers and Scientists

**Author**: Anthony N. Michel,Charles J. Herget**Publisher:**W. W. Norton & Company**ISBN:**9780817647063**Category:**Language Arts & Disciplines**Page:**484**View:**9957

This book allows students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor. It gives readers a unified overview of applicable mathematics.

## Modern Engineering Mathematics

**Author**: Abul Hasan Siddiqi,Mohamed Al-Lawati,Messaoud Boulbrachene**Publisher:**CRC Press**ISBN:**1498712096**Category:**Mathematics**Page:**826**View:**3175

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.

## Harmonic Analysis for Engineers and Applied Scientists

*Updated and Expanded Edition*

**Author**: Gregory S. Chirikjian,Alexander B. Kyatkin**Publisher:**Courier Dover Publications**ISBN:**0486795640**Category:**Mathematics**Page:**880**View:**4608

Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

## Math Refresher for Scientists and Engineers

**Author**: John R. Fanchi**Publisher:**John Wiley & Sons**ISBN:**0471791547**Category:**Mathematics**Page:**330**View:**8447

Expanded coverage of essential math, including integral equations,calculus of variations, tensor analysis, and specialintegrals Math Refresher for Scientists and Engineers, Third Edition isspecifically designed as a self-study guide to help busyprofessionals and students in science and engineering quicklyrefresh and improve the math skills needed to perform their jobsand advance their careers. The book focuses on practicalapplications and exercises that readers are likely to face in theirprofessional environments. All the basic math skills needed tomanage contemporary technology problems are addressed and presentedin a clear, lucid style that readers familiar with previouseditions have come to appreciate and value. The book begins with basic concepts in college algebra andtrigonometry, and then moves on to explore more advanced conceptsin calculus, linear algebra (including matrices), differentialequations, probability, and statistics. This Third Edition has beengreatly expanded to reflect the needs of today's professionals. Newmaterial includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skillsneeded by scientists and engineers. The wide range of topicscovered in one title is unique. All chapters provide a review ofimportant principles and methods. Examples, exercises, andapplications are used liberally throughout to engage the readersand assist them in applying their new math skills to actualproblems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams,readers will find this self-study guide enables them to quicklymaster the math they need. It can additionally be used as atextbook for advanced-level undergraduates in physics andengineering.

## Geometric Algebra with Applications in Science and Engineering

**Author**: Eduardo Bayro Corrochano,Garret Sobczyk**Publisher:**Springer Science & Business Media**ISBN:**9780817641993**Category:**Computers**Page:**592**View:**862

This book is addressed to a broad audience of cyberneticists, computer scientists, engineers, applied physicists and applied mathematicians. The book offers several examples to clarify the importance of geometric algebra in signal and image processing, filtering and neural computing, computer vision, robotics and geometric physics. The contributions of this book will help the reader to greater understand the potential of geometric algebra for the design and implementation of real time artifical systems.

## Calculus

**Author**: Stanley I. Grossman**Publisher:**Academic Press**ISBN:**148326243X**Category:**Mathematics**Page:**1174**View:**6838

Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.

## Methods of Applied Mathematics with a Software Overview

**Author**: Jon H. Davis**Publisher:**Birkhäuser**ISBN:**3319433709**Category:**Mathematics**Page:**781**View:**9937

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

## A First Course in Finite Element Analysis

**Author**: Xin-She Yang**Publisher:**Luniver Press**ISBN:**1905986084**Category:**Mathematics**Page:**212**View:**719

The book endeavors to strike a balance between mathematical and numerical coverage of a wide range of topics in fi nite element analysis. It strives to provide an introduction, especially for undergraduates and graduates, to fi nite element analysis and its applications. Topics include advanced calculus, differential equations, vector analysis, calculus of variations, fi nite difference methods, fi nite element methods and time-stepping schemes. The book also emphasizes the application of important numerical methods with dozens of worked examples. The applied topics include elasticity, heat transfer, and pattern formation. A few self-explanatory Matlab programs provide a good start for readers to try some of the methods and to apply the methods and techniques to their own modelling problems with some modifi cations. The book will perfectly serve as a textbook in fi nite element analysis, computational mathematics, mathematical modelling, and engineering computations.

## Mathematical Handbook for Scientists and Engineers

*Definitions, Theorems, and Formulas for Reference and Review*

**Author**: Granino A. Korn,Theresa M. Korn**Publisher:**Courier Corporation**ISBN:**0486320235**Category:**Technology & Engineering**Page:**1152**View:**6690

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

## Mathematical Analysis of Continuum Mechanics and Industrial Applications

*Proceedings of the International Conference CoMFoS15*

**Author**: Hiromichi Itou,Masato Kimura,Vladimír Chalupecký,Kohji Ohtsuka,Daisuke Tagami,Akira Takada**Publisher:**Springer**ISBN:**9811026335**Category:**Science**Page:**231**View:**1901

This book focuses on mathematical theory and numerical simulation related to various aspects of continuum mechanics, such as fracture mechanics, elasticity, plasticity, pattern dynamics, inverse problems, optimal shape design, material design, and disaster estimation related to earthquakes. Because these problems have become more important in engineering and industry, further development of mathematical study of them is required for future applications. Leading researchers with profound knowledge of mathematical analysis from the fields of applied mathematics, physics, seismology, engineering, and industry provide the contents of this book. They help readers to understand that mathematical theory can be applied not only to different types of industry, but also to a broad range of industrial problems including materials, processes, and products.

## Numerical Methods for Scientists and Engineers

**Author**: Richard Hamming**Publisher:**Courier Corporation**ISBN:**0486134822**Category:**Mathematics**Page:**752**View:**6622

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

## C++ Toolkit for Engineers and Scientists

**Author**: James T. Smith**Publisher:**Springer Science & Business Media**ISBN:**9780387987972**Category:**Computers**Page:**388**View:**2586

This concise guide covers the fundamental aspects of the numerical analysis, basing upon it the construction of its routines for solving nonlinear equations, linear and nonlinear systems of equations, and eigenvalue problems. Focusing on software development, this book emphasizes software tools, OOP techniques for handling vectors, polynomials, and matrices. Using actual examples to demonstrate reusable tools, the book enables readers to solve broad classes of software development and programming challenges. It adopts a balanced approach between OOP techniques and quick and dirty number crunching, and emphasizes the use of OOP features in implementing vector, polynomial and matrix algebra. As a practical reference, it will help developers and consultants setting up applications programs for electrical, electronic engineering and physical sciences who need to develop clean, efficient C++ programs in minimal time.