Compact Textbooks in Mathematics Linear Algebra, (Paperback)
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This self-contained, clearly written textbook on linear algebra is easily accessible for students, offering detailed proofs and examples for a solid understanding.
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Produktdetaljer
- This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these refer to the main theorems in the text when necessary, so students can see the tools used in the solution.
| Book format | Paperback |
| Fiction/nonfiction | Non-Fiction |
| Genre | Textbooks |
| Publication date | October, 2017 |
| Pages | 384 |
| Subgenre | Algebra |
| Series title | Compact Textbooks in Mathematics |
| Edition | 2017 Edition |
| Publisher | Springer International Publishing |
| Original languages | English |
| Language | English |
| Edu focus | Math & Counting |
| Educational level | College |
| Is collectible | N |
| Binding type | Perfect Binding |
| Recording time | 0 min |
| Retail packaging | Single Piece |
| Assembled product dimensions (l x w x h) | 6.14 x 0.82 x 9.21 in (15.6 x 2.1 x 23.4 cm) |
| Assembled product weight | 1.23 lb (560 grams) |
| Bisac subject heading | Mathematics |
Hvem bør købe?
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Undergraduate Students
Ideal for undergraduate students pursuing mathematics, engineering, or physics who need a concise and clear text on linear algebra.
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Self-Learners
Great for individuals learning linear algebra independently, offering straightforward explanations and examples to aid understanding.
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Tutors and Instructors
Useful for tutors and instructors seeking a supplemental resource to explain linear algebra topics effectively to students.
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Advanced Scholars
Not suitable for advanced mathematicians or scholars seeking in-depth theoretical discussions and complex applications of linear algebra.
Produktbeskrivelse
Kundespørgsmål og svar
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spørgsmål:
Is this textbook suitable for beginners?
svar: Yes, it is designed to be easily accessible for students starting their studies in linear algebra. -
spørgsmål:
Are exercises included in the textbook?
svar: Yes, each chapter includes exercises that reinforce the main ideas, along with detailed solutions. -
spørgsmål:
Does the book cover advanced topics?
svar: Yes, it introduces advanced concepts such as eigenvalues, eigenvectors, and symmetric matrices.
Belkacem Said-Houari All Books Editorial Review
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Egenskaber og fordele
- Self-contained and clearly written for easy accessibility.
- Starts with simple linear equations and generalizes to systems of equations.
- Includes detailed chapters on determinants and proofs.
- Covers Euclidean spaces with simple geometric concepts.
- Provides rigorous explanations of vector spaces and linear transformations.
- Offers exercises with detailed solutions for effective learning.
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