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標(biāo)題: Titlebook: Linear Algebra; J?rg Liesen,Volker Mehrmann Textbook 2015 Springer Nature Switzerland AG 2015 Linear Algebra.Matrices.Echelon Form.Gaussia [打印本頁]

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書目名稱Linear Algebra影響因子(影響力)




書目名稱Linear Algebra影響因子(影響力)學(xué)科排名




書目名稱Linear Algebra網(wǎng)絡(luò)公開度




書目名稱Linear Algebra網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Linear Algebra被引頻次




書目名稱Linear Algebra被引頻次學(xué)科排名




書目名稱Linear Algebra年度引用




書目名稱Linear Algebra年度引用學(xué)科排名




書目名稱Linear Algebra讀者反饋




書目名稱Linear Algebra讀者反饋學(xué)科排名





作者: 共同時(shí)代    時(shí)間: 2025-3-21 21:52

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作者: 新鮮    時(shí)間: 2025-3-22 06:32

作者: Nutrient    時(shí)間: 2025-3-22 11:45
J?rg Liesen,Volker Mehrmannon der Polizei. (…) Nach meinem Eindruck ist die Korruption unter den kosovarischen Polizisten recht hoch. Wenn man mit einem gestohlenen Auto erwischt wird, so wurde mir berichtet, besticht man den Beamten – und die Sache ist erledigt. An die gro?en Verbrecher kommt man sowieso nicht heran. (…) Die
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J?rg Liesen,Volker Mehrmanntury that significant advances were made in the understanding of these and similar biological processes. The industrial applications of some of these developments were realised at the turn of the century, with the fermentative production of commodity chemicals, such as butanol and acetone, and the e
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作者: 愛花花兒憤怒    時(shí)間: 2025-3-23 03:34
J?rg Liesen,Volker Mehrmann variety of possible causes. The symptoms—inattentiveness, impulsivity, physical overactivity, excitability, and distractibility—are often present in early childhood, thereby giving credence to the concept of a develop- mentally based, constitutional hyperactivity. But, the symptoms may also appear
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J?rg Liesen,Volker Mehrmann variety of possible causes. The symptoms—inattentiveness, impulsivity, physical overactivity, excitability, and distractibility—are often present in early childhood, thereby giving credence to the concept of a develop- mentally based, constitutional hyperactivity. But, the symptoms may also appear
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J?rg Liesen,Volker Mehrmannected in recent years by a variety of social and technological developments in areas such as international terrorism, campaigns of genocide and ethnic cleansing, the global human rights movement, economic globalization, and military technology. This book asks whether just war theory is adequate to t
作者: Aesthete    時(shí)間: 2025-3-24 01:21
Algebraic Structures,s and the operation ‘+.’ What are the properties of this addition? Already in elementary school one learns that the sum .?+?. of two integers . and . is another integer. Moreover, there is a number 0 such that 0?+?.?=?. for every integer ., and for every integer . there exists an integer . such that
作者: 迷住    時(shí)間: 2025-3-24 04:15
Matrices,ed in this chapter were introduced by Arthur Cayley (1821–1895) in 1858. His article “A memoir on the theory of matrices” was the first to consider matrices as independent algebraic objects. In our book matrices form the central approach to the theory of Linear Algebra.
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作者: probate    時(shí)間: 2025-3-24 14:36
Linear Systems of Equations,in numerous applications from engineering to the natural and social sciences. Major sources of linear systems of equations are the discretization of differential equations and the linearization of nonlinear equations. In this chapter we analyze the solution sets of linear systems of equations and we
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作者: 可用    時(shí)間: 2025-3-25 04:19

作者: 航海太平洋    時(shí)間: 2025-3-25 09:49
Linear Forms and Bilinear Forms,self. These maps play an important role in many areas of Mathematics, including Analysis, Functional Analysis and the solution of differential equations. They will also be essential for the further developments in this book: Using bilinear and sesquilinear forms, which are introduced in this chapter
作者: 修改    時(shí)間: 2025-3-25 12:15
Euclidean and Unitary Vector Spaces,on such vector spaces. Scalar products allow the extension of well-known concepts from elementary geometry, such as length and angles, to abstract real and complex vector spaces. This, in particular, leads to the idea of orthogonality and to orthonormal bases of vector spaces. As an example for the
作者: comely    時(shí)間: 2025-3-25 19:54
Adjoints of Linear Maps,rix is symmetric (or Hermitian) if it is equal to its (Hermitian) transpose. In an analogous way, an endomorphism is selfadjoint if it is equal to its adjoint endomorphism. The sets of symmetric (or Hermitian) matrices and of selfadjoint endomorphisms form certain vector spaces which will play a key
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Polynomials and the Fundamental Theorem of Algebra,ncluding the factorization into irreducible factors. We also prove the Fundamental Theorem of Algebra, which states that every non-constant polynomial over the complex numbers has a least one complex root. This implies that every complex matrix and every endomorphism on a (finite dimensional) comple
作者: Licentious    時(shí)間: 2025-3-26 05:56
Cyclic Subspaces, Duality and the Jordan Canonical Form,icularly interested in the algebraic and geometric multiplicities of the eigenvalues of . and the characterization of the corresponding eigenspaces. Our strategy in this analysis is to decompose the vector space . into a direct sum of .-invariant subspaces so that, with appropriately chosen bases, t
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Textbook 2015inating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear m
作者: Infirm    時(shí)間: 2025-3-27 02:31

作者: expository    時(shí)間: 2025-3-27 06:12
The Echelon Form and the Rank of Matrices,chelon form is, in some sense, the “closest possible” matrix to the identity matrix. This form motivates the concept of the rank of a matrix, which we introduce in this chapter and will use frequently later on.
作者: Insulin    時(shí)間: 2025-3-27 10:51
Vector Spaces,es of certain (namely, finite dimensional) vector spaces can be studied in a transparent way using matrices. In the next chapter we will study (linear) maps between vector spaces, and there the connection with matrices will play a central role as well.
作者: Opponent    時(shí)間: 2025-3-27 17:20
Cyclic Subspaces, Duality and the Jordan Canonical Form,he essential properties of . will be obvious from its matrix representation. The matrix representation that we derive is called the Jordan canonical form of .. Because of its great importance there have been many different derivations of this form using different mathematical tools.
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1615-2085 r first contact with abstract concepts.Analyzes detailed exaThis self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applic
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Linear Maps,nal vector spaces every linear map can be represented by a matrix, when bases in the respective spaces have been chosen. If the bases are chosen in a clever way, then we can read off important properties of a linear map from its matrix representation. This central idea will arise frequently in later chapters.
作者: 小溪    時(shí)間: 2025-3-28 08:56
Linear Forms and Bilinear Forms,ns. They will also be essential for the further developments in this book: Using bilinear and sesquilinear forms, which are introduced in this chapter, we will define and study Euclidean and unitary vector spaces in Chap.?.. Linear forms and dual spaces will be used in the existence proof of the Jordan canonical form in Chap.?..
作者: BLA    時(shí)間: 2025-3-28 13:40
Euclidean and Unitary Vector Spaces,l and complex vector spaces. This, in particular, leads to the idea of orthogonality and to orthonormal bases of vector spaces. As an example for the importance of these concepts in many applications we study least-squares approximations.
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作者: 粘    時(shí)間: 2025-3-28 22:27
Matrix Functions and Systems of Differential Equations, analysis example involves the exponential function of matrices, and we study the properties of this important function in detail. The analysis of chemical reaction kinetics leads to a system of ordinary differential equations, whose solution again is based on the matrix exponential function.
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https://doi.org/10.1007/978-3-319-24346-7Linear Algebra; Matrices; Echelon Form; Gaussian Elimination; Eigenvalues; Linear Maps; Vector Spaces; Poly
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Matrices,ed in this chapter were introduced by Arthur Cayley (1821–1895) in 1858. His article “A memoir on the theory of matrices” was the first to consider matrices as independent algebraic objects. In our book matrices form the central approach to the theory of Linear Algebra.
作者: 埋葬    時(shí)間: 2025-3-30 05:02
Determinants of Matrices,g and important properties. For instance it yields a necessary and sufficient condition for the invertibility of .. Moreover, it forms the basis for the definition of the characteristic polynomial of a matrix in Chap.?..
作者: 混沌    時(shí)間: 2025-3-30 12:10
The Characteristic Polynomial and Eigenvalues of Matrices,of the matrix. This polynomial contains important information about the matrix. For example, one can read off the determinant and thus see whether the matrix is invertible. Even more important are the roots of the characteristic polynomial, which are called the eigenvalues of the matrix.
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J?rg Liesen,Volker MehrmannProvides a matrix-oriented approach to the theory of linear algebra including all details and proofs.Improves intuition for students in their first contact with abstract concepts.Analyzes detailed exa
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Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/l/image/586255.jpg
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J?rg Liesen,Volker Mehrmannis of 1996, the OAS response time was questioned and attention was drawn to its inadequate preventative and monitoring abilities.. The OAS has been criticized as well, in a more general context, for what has been called a “firefighter approach”.: focusing on extinguishing threats to democracy among
作者: Confess    時(shí)間: 2025-3-31 22:25
J?rg Liesen,Volker Mehrmannis of 1996, the OAS response time was questioned and attention was drawn to its inadequate preventative and monitoring abilities.. The OAS has been criticized as well, in a more general context, for what has been called a “firefighter approach”.: focusing on extinguishing threats to democracy among
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