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The Oxford linear algebra for scientists /
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Lukas, Andre, author. |
| 서명/저자사항 | The Oxford linear algebra for scientists /Andre Lukas. |
| 형태사항 | 1 online resource (433 pages) |
| 총서사항 | Oxford scholarship online |
| 소장본 주기 | WorldCat record variable field(s) change: 650 |
| ISBN | 9780191880650 0191880655 9780192583475 0192583476 |
| 서지주기 | Includes bibliographical references and index. |
| 내용주기 | 1 Linearity -- an informal introduction -- 2 Sets and functions -- 3 Groups -- 4 Fields -- 5 Coordinate vectors -- 6 Vector spaces -- 7 Elementary vector space properties -- 8 Vector subspaces -- 9 The dot product -- 10 Vector and triple product -- 11 Lines and planes -- 12 Introduction to linear maps -- 13 Matrices -- 14 The structure of linear maps -- 15 Linear maps in terms of matrices -- 16 Computing with matrices -- 17 Linear systems -- 18 Determinants -- 19 Basics of eigenvalues -- 20 Diagonalizing linear maps -- 21 The Jordan normal form* -- 22 Scalar products -- 23 Adjoint and unitary maps -- 24 Diagonalization -- again -- 25 Bi-linear and sesqui-linear forms* -- 26 The dual vector space* -- 27 Tensors* |
| 이용제한사항 | University staff and students only. Requires University Computer Account login on and off-campus. |
| 요약 | "This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimension, vector subspaces and linear maps. Practical methods for calculating with dot, cross and triple products are introduced early on. The theory of linear maps and their relation to matrices is developed in detail, culminating in the rank theorem. Algorithmic methods bases on row reduction and determinants are discussed an applied to computing the rank and the inverse of matrices and to solve systems of linear equations. Eigenvalues and eigenvectors and the application to diagonalising linear maps, as well as scalar products and unitary linear maps are covered in detail. Advanced topics included are the Jordon normal form, normal linear maps, the singular value decomposition, bi-linear and sesqui-linear forms, duality and tensors. The book also included short expositions of diverse scientific applications of linear algebra, including to internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics and quantum computing"--Publisher's description. |
| 일반주제명 | Algebras, Linear. Science -- Mathematics. Algebra. Alge?bre line?aire. Sciences -- Mathe?matiques. Alge?bre. algebra. Algebras, Linear Science -- Mathematics |
| 언어 | 영어 |
| 기타형태 저록 | Print version:Lukas, Andre.Oxford linear algebra for scientists.New York, NY : Oxford University Press, [2022]9780198844914 |
| 대출바로가기 | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3287214 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00023056 | 512.5 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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