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=Xuejun Guo
A01=Gongxiang Liu
A01=Nanqing Ding
A01=Qingzhong Ji
A01=Xuejun Guo
Age Group_Uncategorized
Age Group_Uncategorized
Author_Gongxiang Liu
Author_Nanqing Ding
Author_Qingzhong Ji
Author_Xuejun Guo
automatic-update
AZA>-Matrix
Bilinear Form
Category1=Non-Fiction
Category=PBF
Category=YPMF2
CauchyAcAEURA"Binet Formula
CayleyAcAEURA"Hamilton Theorem
Characteristic Polynomial
Chinese Remainder Theorem
Congruence of Matrices
COP=Singapore
Cramer's Rule
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Descartes' Rule of Signs
Determinant
Determinantal Divisor
Diagonalization of Matrices
Dimension Formula
Division Algorithm
Eigenvalue
Eigenvector
Eigenvector-Eigenvalue Identity
Elementary Divisor
Elementary Operation
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Equivalence of Matrices
Euclidean Algorithm
Euclidean Space
Fundamental Theorem of Algebra
Greatest Common Divisor
Inner Product Space
Invariant Factor
Jordan Canonical Form
Language_English
Laplace Expansion
Law of Inertia
Least Common Multiple
Linear Dependence
Linear Map
Linear Space
Matrix
Matrix Representation of a Linear Map
Moore-Penrose Inverse
Orthogonal Transformation
PA=Available
Polynomial
Price_€100 and above
PS=Forthcoming
Quadratic Form
Quadratic Space
Rank of a Matrix
Rational Canonical Form
Rotation
SchAfA?nemannAcAEURA"Eisenstein Criterion
Similarity of Matrices
Singular Value Decomposition
Smith Normal Form
softlaunch
Structure of Solutions
Sturm's Theorem
Symmetric Polynomial
Symplectic Space
System of Linear Equations
Unitary Space

Product details

  • ISBN 9789811295522
  • Publication Date: 01 Nov 2024
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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This book evolved from our lectures in the advanced algebra courses at Nanjing University. It is intended for use by instructors and undergraduate students in a one-year advanced algebra course.The topics covered in this book consist of integers and polynomials, determinants and matrices, linear systems, linear spaces, linear maps, λ-matrices, quadratic forms, inner product spaces, and bilinear forms.There are sufficient well-selected exercises of a wide range to provide ample practice, expand coverage of topics treated in the text, and challenge the strongest students.Our objective is to prepare students with a solid foundation for pursuing advanced mathematics. We hope that the material presented here will interest the students and help them ask their own questions, look for their own examples, and discover their own proofs.

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