عنوان

Advanced linear and matrix algebra /

ويژگيها

(electronic bk.)

ويژگيها

(electronic bk.)

شابک

9783030528157

شابک

3030528154

شابک اشتباه

9783030528140

شابک اشتباه

3030528146

شماره ISMN

10.1007/978-3-030-52815-7

شماره

15116

شماره کنترل سيستم

(OCoLC)1252706564

شماره کنترل سيستم غير معتبر يا حذف شده

(OCoLC)1255233459

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

Advanced linear and matrix algebra /

نام نخستين پديدآور

Nathaniel Johnston.

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2021]

تاریخ نشرو بخش و غیره

�2021.

نام خاص و کميت اثر

494p.

ساير جزييات

illustrations (chiefly color)

متن يادداشت

Available to OhioLINK libraries.

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions.

بدون عنوان

0

متن يادداشت

This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques. Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, Extra Topic sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section. Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author's visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author's companion volume, Introduction to Linear and Matrix Algebra.

شماره استاندارد بين المللي کتاب و موسيقي

9783030528140

شناسگر رکورد کتابشناختي

(OCoLC)1157660006.

عنصر شناسه ای

Algebras, Linear.

عنصر شناسه ای

Matrices.

کد مقوله موضوعی

PBF

کد مقوله موضوعی

MAT002050

کد مقوله موضوعی

PBF

کد سيستم

bicssc

کد سيستم

bisacsh

کد سيستم

thema

شماره

ويراست

شماره رده

نشانه اثر

عنصر شناسه اي

Johnston, Nathaniel,

تاريخ

1627-1705,

عنصر شناسه اي

Ohio Library and Information Network.

سازمان

کتابخانه مرکزی و مرکز اطلاع رسانی دانشگاه

تاريخ عمليات

20231010123330.5

قواعد فهرست نويسي ( بخش توصيفي )

rda

تاريخ و ساعت مذاکره و دسترسي

Advanced Linear and Matrix Algebra-Springer (2021).pdf

مشخصه منبع قراردادي

https://rave.ohiolink.edu/ebooks/ebc2/9783030528157

مشخصه منبع قراردادي

https://link.springer.com/10.1007/978-3-030-52815-7

مشخصه منبع قراردادي

http://proxy.ohiolink.edu:9099/login?url=https://link.springer.com/10.1007/978-3-030-52815-7

يادداشت عمومي

Connect to resource

يادداشت عمومي

Connect to resource

يادداشت عمومي

Connect to resource (off-campus)

نوع ماده

BL

کد کاربرگه

270410

تكميل شده

Y