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Titlebook: Linear Algebra for Computational Sciences and Engineering; Ferrante Neri Textbook 2019Latest edition Springer Nature Switzerland AG 2019 B

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发表于 2025-3-21 20:07:39 | 显示全部楼层 |阅读模式
书目名称Linear Algebra for Computational Sciences and Engineering
编辑Ferrante Neri
视频video
概述Second Edition contains over 150 pages of new material, including theory, illustrations, pseudocodes and examples throughout. Includes new information on matrices, vector spaces and linear mapping..Co
图书封面Titlebook: Linear Algebra for Computational Sciences and Engineering;  Ferrante Neri Textbook 2019Latest edition Springer Nature Switzerland AG 2019 B
描述This book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory..It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who needa theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to stud
出版日期Textbook 2019Latest edition
关键词Boolean algebra; Linear mappings; Set theory; Matrices; Systems of linear equations; Vectors; Complex numb
版次2
doihttps://doi.org/10.1007/978-3-030-21321-3
isbn_softcover978-3-030-21323-7
isbn_ebook978-3-030-21321-3
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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https://doi.org/10.1007/978-3-030-21321-3Boolean algebra; Linear mappings; Set theory; Matrices; Systems of linear equations; Vectors; Complex numb
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MatricesAlthough this chapter intentionally refers to the set of real numbers . and its sum and multiplication operations, all the concepts contained in this chapter can be easily extended to the set of complex numbers . and the complex field. This fact is further remarked in Chap. . after complex numbers and their operations are introduced.
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Systems of Linear EquationsA . in . in the variables .., .., …, .. is an equation of the kind
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Geometric VectorsIt can be proved that . is a continuous set. As such, it can be graphically represented as an infinite continuous line, see [.].
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An Introduction to Geometric Algebra and ConicsThis chapter introduces the conics and characterizes them from an algebraic perspective. While in depth geometrical aspects of the conics lie outside the scopes of this chapter, this chapter is an opportunity to revisit concepts studied in other chapters such as matrix and determinant and assign a new geometric characterization to them.
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