Finite-Dimensional Linear Algebra, Gockenbach, Mark S.

Автор: Strang, Gilbert (massachusetts Institute Of Technology)
Название: Introduction to linear algebra, 6 ed.
ISBN: 1733146679 ISBN-13(EAN): 9781733146678
Издательство: Amazon Internet
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Цена: 0.00 T
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Описание: Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners.

Автор: Trefethen, Lloyd N. Bau, David, Iii
Название: Numerical linear algebra
ISBN: 0898713617 ISBN-13(EAN): 9780898713619
Издательство: Mare Nostrum (Eurospan)
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Цена: 64370.00 T
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Описание: Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.

Автор: Axler Sheldon
Название: Linear Algebra Done Right
ISBN: 3319110799 ISBN-13(EAN): 9783319110790
Издательство: Springer
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Цена: 41920.00 T
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Описание: This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces.

Автор: Axler Sheldon
Название: Linear Algebra Done Right
ISBN: 3319307657 ISBN-13(EAN): 9783319307657
Издательство: Springer
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Цена: 41920.00 T
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Описание: This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces.

Автор: Singh Kuldeep
Название: Linear Algebra
ISBN: 0199654441 ISBN-13(EAN): 9780199654444
Издательство: Oxford Academ
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Цена: 36420.00 T
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Описание: Linear algebra is a fundamental area of mathematics, and arguably the most powerful mathematical tool ever developed. This dynamic and engaging book uses numerous examples, question and answer sections, and historical biographies to provide an introduction to linear algebra for undergraduates in mathematics, the physical sciences and engineering.

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 9814522198 ISBN-13(EAN): 9789814522199
Издательство: World Scientific Publishing
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Цена: 33790.00 T
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Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 981452218X ISBN-13(EAN): 9789814522182
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

Автор: P.R. Halmos
Название: Finite-Dimensional Vector Spaces
ISBN: 0387900934 ISBN-13(EAN): 9780387900933
Издательство: Springer
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Цена: 41880.00 T
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Описание: Presents the theory that is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis. This book contains about 350 instructive problems.

Автор: V. Dlab; Leonard Scott
Название: Finite Dimensional Algebras and Related Topics
ISBN: 0792327551 ISBN-13(EAN): 9780792327554
Издательство: Springer
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Цена: 266470.00 T
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Описание: Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume examines finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory and finite groups.

Автор: Savov Ivan
Название: No Bullshit Guide to Linear Algebra
ISBN: 0992001021 ISBN-13(EAN): 9780992001025
Издательство: Неизвестно
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Цена: 35870.00 T
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Описание:

Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, economics, quantum mechanics, and countless other applications. Indeed, linear algebra offers a powerful toolbox for modelling the real world.

The No Bullshit Guide to Linear Algebra shows the connections between the computational techniques of linear algebra, their geometric interpretations, and the theoretical foundations. This university-level textbook contains lessons on linear algebra written in a style that is precise and concise. Each concept is illustrated through definitions, formulas, diagrams, explanations, and examples of real-world applications. Readers build their math superpowers by solving practice problems and learning to use the computer algebra system SymPy to speed up tedious matrix arithmetic tasks.

"The book explains the concepts in a way that gives a strong intuitive understanding." - Joe Nestor, student

"It's very well written and a fun read " - Felix Kwok, professor

"I used this book in multiple big data courses when I needed a deeper understanding of the material." - Zane Zakraisek, student

The author, Ivan Savov, combines 17 years of tutoring experience with a B.Eng. in electrical engineering, an M.Sc. in physics, and a Ph.D. in computer science from McGill University.

Автор: Lipschutz Seymour, Lipson Marc
Название: Schaum`s Outline of Linear Algebra
ISBN: 1260011445 ISBN-13(EAN): 9781260011449
Издательство: McGraw-Hill
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Цена: 20580.00 T
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Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey?

Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand.

Schaum's Outline of Linear Algebra, Sixth Edition features:

- Updated content to match the latest curriculum
- Over 600 problems with step-by-step solutions
- An accessible outline format for quick and easy review
- Clear explanations for all linear algebra concepts
- Access to revised Schaums.com website with access to 25 problem-solving videos, and more

Автор: R.W. Carter; P.M. Cohn; A.I. Kostrikin; I.R. Shafa
Название: Algebra IX
ISBN: 3540570381 ISBN-13(EAN): 9783540570387
Издательство: Springer
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Цена: 130430.00 T
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Описание: The first contribution by Carter covers the theory of finite groups of Lie type, an important field of current mathematical research. In the second part, Platonov and Yanchevskii survey the structure of finite-dimensional division algebras, including an account of reduced K-theory.