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Advanced linear algebra 3rd ed

Advanced linear algebra 3rd ed (12회 대출)

자료유형
단행본
개인저자
Roman, Steven.
서명 / 저자사항
Advanced linear algebra / Steven Roman.
판사항
3rd ed.
발행사항
New York :   Springer ,   c2008.  
형태사항
xviii, 522 p. : ill. ; 25 cm.
총서사항
Graduate texts in mathematics ; 135
ISBN
9780387728285 (alk. paper) 0387728287 (alk. paper)
내용주기
Vector spaces -- Linear transformations -- The isomorphism theorems -- Modules I : basic properties -- Modules II : free and Noetherian modules -- Modules over a principal ideal domain -- The structure of a linear operator -- Eigenvalues and eigenvectors -- Real and complex inner product spaces -- Structure theory for normal operators -- Metric vector spaces : the theory of bilinear forms -- Metric spaces -- Hilbert spaces -- Tensor products -- Positive solutions to linear systems : convexity and separation -- Affine geometry -- Singular value and the Moore-Penrose inverse -- A introduction to algebras -- The umbral calculus.
서지주기
Includes bibliographical references (p. [507]-511) and index.
일반주제명
Algebras, Linear.
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020 ▼a 9780387728285 (alk. paper)
020 ▼a 0387728287 (alk. paper)
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100 1 ▼a Roman, Steven.
245 0 0 ▼a Advanced linear algebra / ▼c Steven Roman.
250 ▼a 3rd ed.
260 ▼a New York : ▼b Springer , ▼c c2008.
300 ▼a xviii, 522 p. : ▼b ill. ; ▼c 25 cm.
440 0 ▼a Graduate texts in mathematics ; ▼v 135
504 ▼a Includes bibliographical references (p. [507]-511) and index.
505 0 ▼a Vector spaces -- Linear transformations -- The isomorphism theorems -- Modules I : basic properties -- Modules II : free and Noetherian modules -- Modules over a principal ideal domain -- The structure of a linear operator -- Eigenvalues and eigenvectors -- Real and complex inner product spaces -- Structure theory for normal operators -- Metric vector spaces : the theory of bilinear forms -- Metric spaces -- Hilbert spaces -- Tensor products -- Positive solutions to linear systems : convexity and separation -- Affine geometry -- Singular value and the Moore-Penrose inverse -- A introduction to algebras -- The umbral calculus.
650 0 ▼a Algebras, Linear.
945 ▼a KINS
994 ▼a C0 ▼b KUB

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.5 R758a3 등록번호 121162414 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

저자소개

스티븐 로만(엮은이)

캘리포니아 주립대 플러톤(Fullerton)의 수학과 명예 교수로 현재까지 슈프링거 출판사(Springer-Verlag)가 출간한 수학 관련 책(『Coding and Information』, 『Advanced Linear Algebra』, 『Field Theory』)을 포함하여 32권의 책을 집필했다. 여기에 15권 분량의 소책자 시리즈인 'Modules in Mathematics'와 오라일리가 출간한 『Access Database Design & Programming』,『Learning Word Programming』,『Developing Visual Basic Add-Ins』, 『엑셀 매크로 시작부터 활용까지(Writing Excel Macros)』(한빛미디어, 2000)를 집필했고, 이 외에도 하드웨어와 객체지향 프로그래밍에 관련 책도 두 권 집필했다. 로먼 박사의 주요 관심 분야는 순열 조합론, 대수학, 컴퓨터 과학이다.

정보제공 : Aladin

목차

Vector Spaces Linear Transformations The Isomorphism Theorems Modules I: Basic Properties Modules II: Free and Noetherian Modules Modules over a Principal Ideal Domain The Structure of a Linear Operator Eigenvalues and Eigenvectors Real and Complex Inner Product Spaces Structure Theory for Normal Operators Metric Vector Spaces: The Theory of Bilinear Forms Metric Spaces Hilbert Spaces Tensor Products Positive Solutions to Linear Systems: Convexity and Separation Affine Geometry Operator Factorizations: QR and Singular Value The Umbral Calculus References Index


정보제공 : Aladin

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