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

## Matrix Analysis for Scientists and Engineers

**Author**: Alan J. Laub**Publisher:**SIAM**ISBN:**0898715768**Category:**Mathematics**Page:**157**View:**8346

"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.

## Mathematics for Engineers and Scientists, Sixth Edition

**Author**: Alan Jeffrey**Publisher:**CRC Press**ISBN:**9781584884880**Category:**Mathematics**Page:**1016**View:**6406

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.

## Engineering Mathematics Volume III (Linear Algebra and Vector Calculus) (For 1st Year, 2nd Semester of JNTU, Kakinada)

**Author**: Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.**Publisher:**S. Chand Publishing**ISBN:**9352832434**Category:**Mathematics**Page:**N.A**View:**9036

Engineering Mathematics

## Modern Engineering Mathematics

**Author**: Abul Hasan Siddiqi,Mohamed Al-Lawati,Messaoud Boulbrachene**Publisher:**CRC Press**ISBN:**1498712096**Category:**Mathematics**Page:**826**View:**9079

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.

## Mathematical Techniques for Engineers and Scientists

**Author**: Larry C. Andrews,Ronald L. Phillips**Publisher:**SPIE Press**ISBN:**9780819445063**Category:**Mathematics**Page:**797**View:**4392

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.

## 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:**8910

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.

## Tensor Analysis for Physicists

**Author**: Jan Arnoldus Schouten**Publisher:**Courier Corporation**ISBN:**0486655822**Category:**Science**Page:**277**View:**1174

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.

## A First Course in Finite Element Analysis

**Author**: Xin-She Yang**Publisher:**Luniver Press**ISBN:**1905986084**Category:**Mathematics**Page:**212**View:**1802

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.

## Modern Mathematics Education for Engineering Curricula in Europe

**Author**: Seppo Pohjolainen,Tuomas Myllykoski,Christian Mercat,Sergey Sosnovsky**Publisher:**Springer**ISBN:**3319714163**Category:**Education**Page:**250**View:**3424

This book is open access under a CC BY License. It provides a comprehensive overview of the core subjects comprising mathematical curricula for engineering studies in five European countries and identifies differences between two strong traditions of teaching mathematics to engineers. The collective work of experts from a dozen universities critically examines various aspects of higher mathematical education. The two EU Tempus-IV projects – MetaMath and MathGeAr – investigate the current methodologies of mathematics education for technical and engineering disciplines. The projects aim to improve the existing mathematics curricula in Russian, Georgian and Armenian universities by introducing modern technology-enhanced learning (TEL) methods and tools, as well as by shifting the focus of engineering mathematics education from a purely theoretical tradition to a more applied paradigm. MetaMath and MathGeAr have brought together mathematics educators, TEL specialists and experts in education quality assurance form 21 organizations across six countries. The results of a comprehensive comparative analysis of the entire spectrum of mathematics courses in the EU, Russia, Georgia and Armenia has been conducted, have allowed the consortium to pinpoint and introduce several modifications to their curricula while preserving the generally strong state of university mathematics education in these countriesThe book presents the methodology, procedure and results of this analysis. This book is a valuable resource for teachers, especially those teaching mathematics, and curriculum planners for engineers, as well as for a general audience interested in scientific and technical higher education.

## 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:**6818

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.

## Calculus

**Author**: Stanley I. Grossman**Publisher:**Academic Press**ISBN:**148326243X**Category:**Mathematics**Page:**1174**View:**2138

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.

## Modern Mathematics and Applications in Computer Graphics and Vision

**Author**: Hongyu Guo**Publisher:**World Scientific Publishing Company**ISBN:**9814449350**Category:**Computers**Page:**524**View:**2755

This book presents a concise exposition of modern mathematical concepts, models and methods with applications in computer graphics, vision and machine learning. The compendium is organized in four parts — Algebra, Geometry, Topology, and Applications. One of the features is a unique treatment of tensor and manifold topics to make them easier for the students. All proofs are omitted to give an emphasis on the exposition of the concepts. Effort is made to help students to build intuition and avoid parrot-like learning. There is minimal inter-chapter dependency. Each chapter can be used as an independent crash course and the reader can start reading from any chapter — almost. This book is intended for upper level undergraduate students, graduate students and researchers in computer graphics, geometric modeling, computer vision, pattern recognition and machine learning. It can be used as a reference book, or a textbook for a selected topics course with the instructor's choice of any of the topics.

## 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:**8997

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.

## C++ Toolkit for Engineers and Scientists

**Author**: James T. Smith**Publisher:**Springer Science & Business Media**ISBN:**9780387987972**Category:**Computers**Page:**388**View:**4227

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.

## 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:**6911

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.

## Mathematics for Engineers III

*Vector Calculus*

**Author**: Gerd Baumann**Publisher:**Oldenbourg Verlag**ISBN:**3486714473**Category:**Mathematics**Page:**434**View:**476

This book is part of a four-volume textbook on Engineering Mathematics for undergraduates. Volume III treats vector calculus and differential equations of higher order. The text uses Mathematica as a tool to discuss and to solve examples from mathematics. The basic use of this language is demonstrated by examples.

## Grassmann Algebra Volume 1: Foundations

*Exploring extended vector algebra with Mathematica*

**Author**: John Browne**Publisher:**John M Browne**ISBN:**1479197637**Category:**Mathematics**Page:**588**View:**5986

Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Theorems of Projective Geometry are simply formulae involving these entities and the dual products. By introducing the (orthogonal) complement operation, the scalar product of vectors may be extended to the interior product of multivectors, which in this more general case may no longer result in a scalar. The notion of the magnitude of vectors is extended to the magnitude of multivectors: for example, the magnitude of the exterior product of two vectors (a bivector) is the area of the parallelogram formed by them. To develop these foundational concepts, we need only consider entities which are the sums of elements of the same grade. This is the focus of this volume. But the entities of Grassmann algebra need not be of the same grade, and the possible product types need not be constricted to just the exterior, regressive and interior products. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. Clifford, geometric and higher order hypercomplex algebras, for example the octonions, may be defined similarly. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. Exploration of these entities, operations and algebras will be the focus of the volume to follow this. There is something fascinating about the beauty with which the mathematical structures that Hermann Grassmann discovered describe the physical world, and something also fascinating about how these beautiful structures have been largely lost to the mainstreams of mathematics and science. He wrote his seminal Ausdehnungslehre (Die Ausdehnungslehre. Vollständig und in strenger Form) in 1862. But it was not until the latter part of his life that he received any significant recognition for it, most notably by Gibbs and Clifford. In recent times David Hestenes' Geometric Algebra must be given the credit for much of the emerging awareness of Grassmann's innovation. In the hope that the book be accessible to scientists and engineers, students and professionals alike, the text attempts to avoid any terminology which does not make an essential contribution to an understanding of the basic concepts. Some familiarity with basic linear algebra may however be useful. The book is written using Mathematica, a powerful system for doing mathematics on a computer. This enables the theory to be cross-checked with computational explorations. However, a knowledge of Mathematica is not essential for an appreciation of Grassmann's beautiful ideas.

## Introduction to Vectors and Tensors

**Author**: Ray M. Bowen,Chao-cheng Wang**Publisher:**Courier Corporation**ISBN:**048646914X**Category:**Mathematics**Page:**520**View:**8138

This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition.

## Engineering Mathematics Vol. One 4Th Ed.

**Author**: S. S. Sastry**Publisher:**PHI Learning Pvt. Ltd.**ISBN:**812033616X**Category:**Engineering mathematics**Page:**N.A**View:**8617