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Item #:
187042418
Advanced Linear and Matrix Algebra, (Paperback)
Item #:
187042418
STD 1995830
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Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study.
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What Stands Out
In-depth Content
This textbook covers complex concepts in linear and matrix algebra, making it suitable for advanced students and professionals seeking a comprehensive understanding of the subject.
Practical Applications
The book emphasizes real-world applications, aiding learners in understanding how linear algebra is used in various fields, such as engineering, data science, and physics.
Supplemental Resources
Includes exercises, examples, and resources that help reinforce learning, providing a valuable study tool for anyone looking to deepen their knowledge in linear and matrix algebra.
Product Details
- 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.
| Book format | Paperback |
| Fiction/nonfiction | Non-Fiction |
| Genre | Textbooks |
| Publication date | May, 2022 |
| Pages | 494 |
| Reading level | Grade 12 |
| Subgenre | Algebra |
| Series title | No Series |
| Edition | 2021 Edition |
| Publisher | Springer International Publishing |
| Original languages | English |
| Language | English |
| Edu focus | Mathematics |
| Educational level | College |
| Is collectible | N |
| Recording time | 0 min |
| Number of discs | 1 |
| Retail packaging | Single Piece |
| Assembled product dimensions (l x w x h) | 7.00 x 1.03 x 10.00 in (17.8 x 2.6 x 25.4 cm) |
| Assembled product weight | 1.94 lb (880 grams) |
| Bisac subject heading | Mathematics |
Who Should Buy?
-
Students in STEM
Ideal for students pursuing degrees in science, technology, engineering, and mathematics who need advanced algebra concepts.
-
Academics and Researchers
Beneficial for educators and researchers needing comprehensive linear algebra for advanced studies and applications.
-
Professionals in Data Science
Perfect for data scientists and analysts who use matrix algebra in machine learning and statistical modeling.
-
Beginners in Mathematics
Not suitable for those new to algebra, as it assumes prior knowledge of basic algebraic concepts.
Product Description
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Customer Questions & Answers
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Question:
What is the main focus of this textbook?
Answer: The textbook emphasizes the interplay between algebra and geometry while exploring advanced linear algebra techniques. -
Question:
What level of prior knowledge is required to understand this book?
Answer: A first course in proof-based linear algebra is assumed for readers. -
Question:
What additional resources does this book provide for learning?
Answer: It includes numerous exercises, extra topic sections, and visual aids to enhance understanding.
Nathaniel Johnston All Books Editorial Review
Advanced Linear and Matrix Algebra, (Paperback) offers comprehensive insights into algebra for college students. This non-fiction textbook, published in May 2022 by Springer International Publishing, spans 494 pages and is tailored for a Grade 12 reading level. The book is meticulously crafted to meet the educational focus of mathematics, making it a valuable resource for college courses. The solid structure and clear explanations help in grasping complex algebraic concepts. Its dimensions make it a convenient addition to any textbook collection, appealing to both students and educators striving for mastery in linear and matrix algebra.
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Pros
- Comprehensive coverage of algebra topics
- Ideal for college-level students
- Clear explanations of complex concepts
- Well-structured for easy understanding
- Convenient paperback format for use
Cons
- May not cover advanced topics in detail
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Features & Benefits
- Emphasizes the connection between algebra and geometry.
- Explores advanced techniques like matrix decompositions and tensors.
- Includes a study of vector spaces, orthogonality, and projections.
- Features numerous exercises of varying difficulty for skill enhancement.
- Utilizes an engaging color presentation and visual approach.
- Ideal for students with a foundation in proof-based linear algebra.
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