Algebra And Analysis For Engineers And Scientists

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Algebra and Analysis for Engineers and Scientists

Author : Anthony N. Michel,Charles J. Herget
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 45,8 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9780817647070

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Algebra and Analysis for Engineers and Scientists by Anthony N. Michel,Charles J. Herget Pdf

Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to familiarize engineering and science students with a great deal of pertinent and applicable mathematics in a rapid and efficient manner without sacrificing rigor. The book is divided into three parts: set theory, algebra, and analysis. It offers a generous number of exercises integrated into the text and features applications of algebra and analysis that have a broad appeal.

Mathematical Methods for Engineers and Scientists 1

Author : Kwong-Tin Tang
Publisher : Springer Nature
Page : 498 pages
File Size : 44,9 Mb
Release : 2022-10-25
Category : Science
ISBN : 9783031056789

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Mathematical Methods for Engineers and Scientists 1 by Kwong-Tin Tang Pdf

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Matrix Analysis for Scientists and Engineers

Author : Alan J. Laub
Publisher : SIAM
Page : 159 pages
File Size : 51,6 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898715767

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Matrix Analysis for Scientists and Engineers by Alan J. Laub Pdf

"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.

Applied Algebra and Functional Analysis

Author : Anthony N. Michel,Charles J. Herget
Publisher : Courier Corporation
Page : 514 pages
File Size : 41,6 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486675985

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Applied Algebra and Functional Analysis by Anthony N. Michel,Charles J. Herget Pdf

"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

Matrix Operations for Engineers and Scientists

Author : Alan Jeffrey
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 40,8 Mb
Release : 2010-09-05
Category : Science
ISBN : 9789048192748

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Matrix Operations for Engineers and Scientists by Alan Jeffrey Pdf

Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.

Math Refresher for Scientists and Engineers

Author : John R. Fanchi
Publisher : John Wiley & Sons
Page : 361 pages
File Size : 49,6 Mb
Release : 2006-06-12
Category : Mathematics
ISBN : 9780471791546

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Math Refresher for Scientists and Engineers by John R. Fanchi Pdf

Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material 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 skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. 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 quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.

Linear Functional Analysis for Scientists and Engineers

Author : Balmohan V. Limaye
Publisher : Springer
Page : 269 pages
File Size : 41,6 Mb
Release : 2016-06-18
Category : Mathematics
ISBN : 9789811009723

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Linear Functional Analysis for Scientists and Engineers by Balmohan V. Limaye Pdf

This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspects of functional analysis to this varied audience, keeping in mind the considerations of applicability. A novelty of this book is the inclusion of a result by Zabreiko, which states that every countably subadditive seminorm on a Banach space is continuous. Several major theorems in functional analysis are easy consequences of this result. The entire book can be used as a textbook for an introductory course in functional analysis without having to make any specific selection from the topics presented here. Basic notions in the setting of a metric space are defined in terms of sequences. These include total boundedness, compactness, continuity and uniform continuity. Offering concise and to-the-point treatment of each topic in the framework of a normed space and of an inner product space, the book represents a valuable resource for advanced undergraduate students in mathematics, and will also appeal to graduate students and faculty in the natural sciences and engineering. The book is accessible to anyone who is familiar with linear algebra and real analysis.

Mathematical Methods for Engineers and Scientists 1

Author : Kwong-Tin Tang
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 49,8 Mb
Release : 2006-11-10
Category : Science
ISBN : 9783540302735

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Mathematical Methods for Engineers and Scientists 1 by Kwong-Tin Tang Pdf

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Engineering Mathematics by Example

Author : Robert Sobot
Publisher : Springer Nature
Page : 313 pages
File Size : 51,8 Mb
Release : 2023-11-14
Category : Technology & Engineering
ISBN : 9783031412004

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Engineering Mathematics by Example by Robert Sobot Pdf

This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques cover the subjects of algebra, complex algebra, linear algebra, and calculus of single and multiple argument functions. In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing. Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists; Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems; Includes tutorial-style, complete solutions, to all problems.

Tensor Algebra and Tensor Analysis for Engineers

Author : Mikhail Itskov
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 43,7 Mb
Release : 2012-08-13
Category : Science
ISBN : 9783642308796

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Tensor Algebra and Tensor Analysis for Engineers by Mikhail Itskov Pdf

There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.

Tensor Algebra and Tensor Analysis for Engineers

Author : Mikhail Itskov
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 42,7 Mb
Release : 2009-04-30
Category : Technology & Engineering
ISBN : 9783540939078

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Tensor Algebra and Tensor Analysis for Engineers by Mikhail Itskov Pdf

There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling autonomous study. The last chapters deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.

Mathematical Handbook for Scientists and Engineers

Author : Granino A. Korn,Theresa M. Korn
Publisher : Courier Corporation
Page : 1154 pages
File Size : 43,6 Mb
Release : 2013-04-26
Category : Technology & Engineering
ISBN : 9780486320236

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Mathematical Handbook for Scientists and Engineers by Granino A. Korn,Theresa M. Korn Pdf

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.

Harmonic Analysis for Engineers and Applied Scientists

Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : Courier Dover Publications
Page : 881 pages
File Size : 49,9 Mb
Release : 2016-07-20
Category : Mathematics
ISBN : 9780486795645

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Harmonic Analysis for Engineers and Applied Scientists by Gregory S. Chirikjian,Alexander B. Kyatkin Pdf

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.

Essential Mathematics for Engineers and Scientists

Author : Thomas J. Pence,Indrek S. Wichman
Publisher : Cambridge University Press
Page : 757 pages
File Size : 45,9 Mb
Release : 2020-05-21
Category : Mathematics
ISBN : 9781108425445

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Essential Mathematics for Engineers and Scientists by Thomas J. Pence,Indrek S. Wichman Pdf

Clear and engaging introduction for graduate students in engineering and the physical sciences to essential topics of applied mathematics.