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Titlebook: Introduction to Linear and Matrix Algebra; Nathaniel Johnston Textbook 2021 Springer Nature Switzerland AG 2021 First course in linear alg

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發(fā)表于 2025-3-21 18:46:13 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Introduction to Linear and Matrix Algebra
編輯Nathaniel Johnston
視頻videohttp://file.papertrans.cn/474/473833/473833.mp4
概述Motivates the study of linear algebra by exploring the interplay between algebra and geometry.Engages readers with a visual approach that uses color to enhance both content and learning.Features a wid
圖書封面Titlebook: Introduction to Linear and Matrix Algebra;  Nathaniel Johnston Textbook 2021 Springer Nature Switzerland AG 2021 First course in linear alg
描述.This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume .Advanced Linear and Matrix Algebra..?.Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear
出版日期Textbook 2021
關(guān)鍵詞First course in linear algebra textbook; Linear algebra textbook; Matrix algebra textbook; Linear algeb
版次1
doihttps://doi.org/10.1007/978-3-030-52811-9
isbn_softcover978-3-030-52813-3
isbn_ebook978-3-030-52811-9
copyrightSpringer Nature Switzerland AG 2021
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發(fā)表于 2025-3-21 20:32:36 | 只看該作者
Textbook 2021presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear
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Nathaniel Johnstonventual identification of either the correct model, or a relatively close one that provides zero-mean normally identically independently distributed residuals and good out-of-sample forecasts. A comparison with the default AMI procedure in the present X12-ARIMA and DEMETRA+ programs (based on older
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tervals provide additional assessment of the uncertainty compared with a point forecast, which can better guide risk management decisions. The construction of prediction intervals requires fitting a model and the knowledge of the distribution of the observed data, which is typically unknown. Hence,
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發(fā)表于 2025-3-23 01:45:26 | 只看該作者
Nathaniel Johnston needs an automatic model identification procedure, and seasonal adjustment should not be an exception. In fact, the so-called ARIMA model-based seasonal adjustment method (as enforced in programs TRAMO and SEATS) is at present widely used throughout the world by data producers and analysts. The pap
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