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Artikelnr.:
247457563
Understanding Linear Algebra, (Hardcover)
Artikelnr.:
247457563
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Comprehensive Coverage
This hardcover edition provides a thorough exploration of linear algebra concepts, ensuring readers grasp both fundamental principles and advanced applications in various fields.
Clear Explanations
The book utilizes straightforward language and numerous examples, making complex topics accessible to beginners while still being beneficial for advanced students seeking deeper insights.
Durable Format
As a hardcover text, it offers lasting quality and durability, ideal for constant reference and study, ensuring it withstands the rigors of academic environments.
Produktdetails
- Understanding Linear Algebra is an open textbook designed to support a two-course undergraduate linear algebra sequence. Topics include systems of equations, vector and matrix algebra, span, linear independence, bases, eigenvectors and eigenvalues, orthogonality, least squares, and singular value decompositions.There are a few features that distinguish it from other linear algebra textbooks. First, it will always be freely available at http: //gvsu.edu/s/0Ck in a number of formats, including accessible HTML, PDF, and even braille.Until recently, linear algebra has mainly lived in the long shadow of calculus with many university linear algebra courses requiring several semesters of calculus as a prerequisite. Given the increasing prominence of linear algebra, Understanding Linear Algebra assumes no familiarity with calculus and, as such, can provide an alternative introduction into university-level mathematics.Learners are supported as they develop a deep understanding of linear algebraic concepts and their ability to reason mathematically using those concepts. While not intended as an introduction to proofs, the text helps learners to express their thinking clearly and with precision. Following best pedagogical practices, numerous activities are interwoven with exposition to facilitate active learning and can be easily adapted for small group collaboration in a classroom. Each section begins with a preview activity to support a flipped class environment and concludes with numerous exercises of varying depth. In addition, learners develop computational proficiency through the use of Sage, an open source computer algebra system. The online version of the text contains many embedded Sage cells that enable readers to perform computations directly in the book as they are reading. Readers first perform basic algorithms, such as Gaussian elimination and matrix multiplication, by hand but later automate them using Sage. In this way, learners can focus on higher-level linear algebraic thinking and develop their ability to deploy it in more realistic situations.By introducing many in-depth applications, Understanding Linear Algebra also aims to develop an appreciation for the many significant ways in which linear algebra impacts our society. Examples include the JPEG image compression and Google's PageRank algorithms as well as important data science topics such as k-means clustering, linear regression, principal component analysis, and singular value decompositions. These applications give concrete meaning to many of the abstract algebraic concepts on which they rely, and the use of Sage enables learners to authentically explore them.Besides the text itself, there is an accompanying workbook that contains the activities and is suitable for in-class use. There are also solution manuals for both the activities and the homework exercises that are available upon request of the author and a community of instructors who share their experiences and resources with one another through a Google Group.
| Publication date | December, 2023 |
| Author | 619 Wreath |
| Book format | Hardcover |
| Genre | Textbooks |
| Pages | 518 |
| Age group | Adult |
| Binding type | Case Binding |
| Series title | No Series |
| Fiction/nonfiction | Non-Fiction |
| Publisher | 619 Wreath |
| Educational level | College |
| Subgenre | Algebra |
| Original languages | English |
| Edu focus | Mathematics |
| Digital audio file format | |
| Digital file format | |
| Is collectible | N |
| Bisac subject heading | Mathematics |
| Edition | 1 |
| Digital reader format | |
| Language | English |
| Pub date | 2023-12-15 |
| Item Weight | 2.8 lbs (1.27 kg) |
Für wen ist das Produkt geeignet?
-
Students
Ideal for college students studying mathematics or engineering who require a solid foundation in linear algebra concepts.
-
Self-Learners
Individuals seeking to learn linear algebra independently will benefit from clear explanations and problem-solving techniques.
-
Educators
Teachers and professors can use this book as a textbook or reference to enhance their curriculum on linear algebra.
-
Beginners
Complete novices without any math background might struggle with the material, requiring a more introductory resource first.
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David Austin All Books Editorial Review
Understanding Linear Algebra, a hardcover non-fiction textbook published in December 2023, is designed for college-level mathematics education. With 518 pages, it dives deep into algebra concepts, making it an essential resource for students majoring in mathematics. The book is well-structured and organized, facilitating a thorough understanding of linear algebraic principles. Readers have appreciated the clarity of explanations, which enhances comprehension. Additionally, the durable case binding ensures longevity, a significant benefit for frequent use in academic settings.
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Vorteile
- Hardcover format ensures durability and longevity
- Suitable for college-level mathematics education
- Comprehensive coverage of linear algebra concepts
- Clear explanations enhancing understanding
- Structured organization aids in learning
Nachteile
- Might be too advanced for beginners in mathematics
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