2 edition of **Algebra and Analysis for Engineers and Scientists** found in the catalog.

- 4 Want to read
- 11 Currently reading

Published
**2007** by Birkhäuser Boston in Boston, MA .

Written in English

- Engineering,
- Engineering mathematics,
- Algebra,
- Functional analysis,
- Mathematics,
- System theory

**Edition Notes**

Statement | by Anthony N. Michel, Charles J. Herget |

Contributions | Herget, Charles J., SpringerLink (Online service) |

The Physical Object | |
---|---|

Format | [electronic resource] / |

ID Numbers | |

Open Library | OL25553096M |

ISBN 10 | 9780817647063, 9780817647070 |

All chapters provide a review of important principles and methods. Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Scientists and engineers can adopt this concept in fuzzy finite element analysis of mechanical structures with uncertain parameters.

The final prices may differ from the prices shown due to specifics of VAT rules About this Textbook "This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical analysis and algebra background in a succinct, but nontrivial, manner While one can quarrel with the choice of specific topics and the omission of others, the book is quite thorough and can serve as a text, for self-study, or as a reference. It provides an in-depth view of the numerical methods for solving matrix eigenvalue problems that arise in various engineering applications. Notes about the references guide the student to collateral reading. 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 is divided into three parts: set theory Chapter 1algebra Chapters 2—4and analysis Chapters 5—7.

These structures can be applied to multi-expert models. Cameron - Queen Mary, University of LondonOn the theoretical side, we deal with vector spaces, linear maps, and bilinear forms. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra. Presents special matrices, linear vector spaces, and fundamental principles of orthogonality using an appropriate blend of abstract and concrete examplesdiscussing associated applications to enhance visualization of presented concepts. All examples are solved, and the solutions usually consist of step-by-step instructions. The wide range of topics covered in one title is unique.

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Solutions to the exercises are also provided. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research.

The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.

For simplicity and to enable the reader to visualize concepts more clearly, all exposition is conducted in three-dimensional space. The reader should be already exposed to the elementary vector and matrix calculations.

About the Author: Alan J.

Most of the properties that could not be derived or defined for n-linear algebra of type I is made possible in this new structure which is introduced in this book. General and reusable templates are introduced to meet the needs of both the traditional user and the high-performance specialist.

All examples are solved, and the solutions consist of step-by-step instructions, and are designed to assist students in methodically solving problems. Necessary notions and theorems of linear algebra are introduced and proved in connection with the construction of the apparatus of tensor calculus; prior knowledge is not assumed.

Examples and problems are intended to illustrate, reinforce textbook presents the foundations of tensor calculus and the elements of tensor analysis, in addition to considering numerous applications of tensors to geometry, mechanics and physics.

Each section of the book presents problems a total over problems are given. These questions are particularly important in the context of solving systems of linear equations and linear least squares problems.

Notes about the references guide the student to collateral reading. While one can quarrel with the choice of specific topics and the omission of others, the book is quite thorough and can serve as a text, for self-study, or as a reference.

The author addresses connections to differential and difference equations as well as to linear system theory and encourages instructors to augment these examples with other applications of their own choosing.

Solutions to exercises are provided in an appendix. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. The book focuses on practical applications and exercises that readers are likely to face in their professional environments.

Tthe particular nature of the applications will prompt us to seek algorithms. About this title Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices.

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.

Linear Algebra by Jonathan Gleason - University of CaliforniaFrom the table of contents: K-modules and linear transformations; Linear independence, spanning, bases, and dimension; Coordinates, column vectors, and matrices; Eigenstuff; Multilinear algebra and tensors; Inner-product spaces; Applications.

In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. Throughout the book, the author emphasizes the concept of matrix factorization to provide a foundation for a later course in numerical linear algebra.

All notions introduced in the book, and also the obtained results, are illustrated with numerous examples discussed in the text. Cameron - Queen Mary, University of LondonOn the theoretical side, we deal with vector spaces, linear maps, and bilinear forms.

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. Offers a rich selection of exercises and MATLAB assignments that build a platform to enhance understanding of the material. Presents special matrices, linear vector spaces, and fundamental principles of orthogonality using an appropriate blend of abstract and concrete examplesdiscussing associated applications to enhance visualization of presented concepts.Providing readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers Using MATLAB provides real-life problems that readers can use to model and solve engineering and scientific problems in the following fields: signal processing, communications, electromagnetics and social/health sciences.

This is a well-written reference handbook for computer scientists and engineers who need to review essential topics in matrix theory and applications. Each of the 13 chapters opens with a basic definition of its topic, and then introduces more complex and detailed characteristics of the topic, followed by varied applications of the subject matter.

Numerical Analysis for Scientists and Engineers develops the subject gradually by illustrating several examples for both the beginners and the advanced readers using very simple language. The classical and recently developed numerical methods are derived from mathematical and computational points of.

Algebra and Analysis for Engineers and Scientists; Algebra and Analysis for Engineers and Scientists. Last modified: Thursday, 23 AugustPM. Previous Activity GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS. Next Activity Calculus for Dummies.

Tensor Algebra and Tensor Analysis for Engineers With Applications to Continuum Mechanics. 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 might therefore be of high interest for PhD-students and scientists working in.

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.