fundamentals of linear algebra

fundamentals of linear algebraの商品一覧です。「Fundamentals of Linear Algebra【電子書籍】[ J.S. Chahal ]」(￥7,877)や「Fundamentals of Advanced Mathematics 1 Categories, Algebraic Structures, Linear and Homological Algebra【電子書籍】[ Henri Bourles ]」(￥14,830)、「Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning【電子書籍】[ Jocelyn Quaintance ]」(￥8,966)など

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fundamentals of linear algebra

Fundamentals of Advanced Mathematics 1 Categories, Algebraic Structures, Linear and Homological Algebra【電子書籍】 Henri Bourles

Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning【電子書籍】 Jocelyn Quaintance

Fundamentals of Linear Algebra【電子書籍】[ J.S. Chahal ]

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価格￥7,877

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商品の説明

＜p＞Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space.＜/p＞＜p＞With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear.＜/p＞＜p＞Feat...

Fundamentals of Advanced Mathematics 1 Categories, Algebraic Structures, Linear and Homological Algebra【電子書籍】[ Henri Bourles ]

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価格￥14,830

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＜p＞This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering.＜/p＞＜p＞This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations).＜/p＞＜p＞The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients.＜/p＞＜ul＞...

Linear Algebra And Optimization With Applications To Machine Learning - Volume Ii: Fundamentals Of Optimization Theory With Applications To Machine Learning【電子書籍】[ Jocelyn Quaintance ]

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価格￥8,966

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＜p＞Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of var...

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