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Linear Algebra For Everyone

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Linear Algebra for Everyone

Linear Algebra for Everyone Book
Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Release : 2020-11-26
ISBN : 9781733146630
File Size : 28,7 Mb
Language : En, Es, Fr and De

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Book Summary :

Linear algebra has become the subject to know for people in quantitative disciplines of all kinds. No longer the exclusive domain of mathematicians and engineers, it is now used everywhere there is data and everybody who works with data needs to know more. This new book from Professor Gilbert Strang, author of the acclaimed Introduction to Linear Algebra, now in its fifth edition, makes linear algebra accessible to everybody, not just those with a strong background in mathematics. It takes a more active start, beginning by finding independent columns of small matrices, leading to the key concepts of linear combinations and rank and column space. From there it passes on to the classical topics of solving linear equations, orthogonality, linear transformations and subspaces, all clearly explained with many examples and exercises. The last major topics are eigenvalues and the important singular value decomposition, illustrated with applications to differential equations and image compression. A final optional chapter explores the ideas behind deep learning.

Linear Algebra for Everyone

Linear Algebra for Everyone Book
Author : Lorenzo Robbiano
Publisher : Springer Science & Business Media
Release : 2011-05-09
ISBN : 8847018390
File Size : 21,5 Mb
Language : En, Es, Fr and De

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Book Summary :

This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.

Linear Algebra and Learning from Data

Linear Algebra and Learning from Data Book
Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Release : 2019-01-31
ISBN : 9780692196380
File Size : 31,9 Mb
Language : En, Es, Fr and De

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Book Summary :

Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Linear Algebra Geodesy and GPS

Linear Algebra  Geodesy  and GPS Book
Author : Gilbert Strang,Kai Borre
Publisher : SIAM
Release : 1997-01-01
ISBN : 9780961408862
File Size : 24,8 Mb
Language : En, Es, Fr and De

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Book Summary :

Discusses algorithms generally expressed in MATLAB for geodesy and global positioning. Three parts cover basic linear algebra, the application to the (linear and also nonlinear) science of measurement, and the GPS system and its applications. A popular article from SIAM News (June 1997) The Mathematics of GPS is included as an introduction. Annot

Introduction to Linear Algebra

Introduction to Linear Algebra Book
Author : Gilbert Strang
Publisher : Wellesley College
Release : 1993
ISBN : 0987650XXX
File Size : 55,6 Mb
Language : En, Es, Fr and De

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Book Summary :

Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra Book
Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Release : 2015-02-12
ISBN : 9780980232790
File Size : 24,6 Mb
Language : En, Es, Fr and De

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Book Summary :

Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Introduction to Linear Algebra

Introduction to Linear Algebra Book
Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Release : 2016-08-11
ISBN : 9780980232776
File Size : 41,9 Mb
Language : En, Es, Fr and De

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Book Summary :

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra Book
Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Release : 2018-06-07
ISBN : 1316518965
File Size : 46,8 Mb
Language : En, Es, Fr and De

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Book Summary :

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.