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Author: Andre Lukas Publisher: Oxford University Press ISBN: 0192583476 Category : Science Languages : en Pages : 432
Book Description
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
Author: Andre Lukas Publisher: Oxford University Press ISBN: 0192583476 Category : Science Languages : en Pages : 432
Book Description
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
Author: Kuldeep Singh Publisher: Oxford University Press ISBN: 0199654441 Category : Mathematics Languages : en Pages : 617
Book Description
"This book is intended for first- and second-year undergraduates arriving with average mathematics grades ... The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to all of the set problems freely available online http://www.oup.co.uk/companion/singh" -- From preface.
Author: Andre Lukas Publisher: Oxford University Press ISBN: 0198844913 Category : Languages : en Pages : 433
Book Description
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
Author: Kevin O'Meara Publisher: OUP USA ISBN: 0199793735 Category : Mathematics Languages : en Pages : 423
Book Description
This book develops the Weyr matrix canonical form, a largely unknown cousin of the Jordan form. It explores novel applications, including include matrix commutativity problems, approximate simultaneous diagonalization, and algebraic geometry. Module theory and algebraic geometry are employed but with self-contained accounts.
Author: Anthony Roberts Publisher: Oxford University Press, USA ISBN: 0198856393 Category : Mathematics Languages : en Pages : 681
Book Description
Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places SVD as central to the text early on to empower the students in these disciplines to learn and use the best techniques.
Author: Matthew R. Boelkins Publisher: OUP USA ISBN: 0195385861 Category : Mathematics Languages : en Pages : 572
Book Description
Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With an example-first style, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics and engineering that study systems of differential equations.
Author: Elizabeth S. Meckes Publisher: Cambridge University Press ISBN: 1316836029 Category : Mathematics Languages : en Pages : 448
Book Description
Linear Algebra offers a unified treatment of both matrix-oriented and theoretical approaches to the course, which will be useful for classes with a mix of mathematics, physics, engineering, and computer science students. Major topics include singular value decomposition, the spectral theorem, linear systems of equations, vector spaces, linear maps, matrices, eigenvalues and eigenvectors, linear independence, bases, coordinates, dimension, matrix factorizations, inner products, norms, and determinants.
Author: Jim Hefferon Publisher: Orthogonal Publishing L3c ISBN: 9780989897563 Category : Algebras, Linear Languages : en Pages :
Book Description
"This text covers a standard first course : Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvalues and eigenvectors. In addition, each chapter ends with some topics such as brief applications. What sets it apart is careful motivation, many examples, and extensive exercise sets. Together these help each student master the material of this course, and also help an instructor develop that student's level of mathematical maturity. This book has been available online for many years and is widely used, both in classrooms and for self-study. It is supported by worked answers for all exercises, beamer slides for classroom use, and a lab manual of computer work"--Page 4 of cover.
Author: Richard Kaye Publisher: Oxford University Press, UK ISBN: 0191584665 Category : Languages : en Pages : 245
Book Description
Linear algebra in central to all mathematics. In mathematics, the objects one studies (functions, operations, transformation and so on) are usually either `linear' or can be usefully approximated by linear functions. The methods of linear algebra therefore can be applied to almost all areas of mathematics, and have a very large number of applications in all areas. This book provides a complete account of undergraduate linear algebra, aimed at the level of the second-year undergraduate. The approach is rigorous, but always illustrated with examples, and applications to other areas of mathematics and physics are emphasized. - ;This book covers the basic theory of matrices and vector spaces. The book's three main parts cover (i) matrices, vector spaces, bases and dimension; (ii) inner products bilinear and sesquilinear forms over vector spaces; (iii) linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form. An introduction to fields and polynomials over fields is also provided, and examples and applications are provided throughout. The approach throughout is rigorous, but without being unnecessarily abstract. In particular, this book would be suitable reading for a student with no prior exposure to abstract algebra. Although intended as a `second course', the book is completely self-contained and all the material usually given in a `first course' is presented fully in Part One, so the book provides a useful guide to the entire theory of vector spaces as usually studied in an undergraduate degree. Abstract methods are illustrated with concrete examples throughout, and more detailed examples highlight applications of linear algebra to analysis, geometry, differential equations, relativity and quantum mechanics. As such, the book provides a valuable introduction to a wide variety of mathematical methods. -
Author: Gilbert Strang Publisher: SIAM ISBN: 9780961408862 Category : Technology & Engineering Languages : en Pages : 648
Book Description
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
Author: Andre Lukas
Author: Andre Lukas
Author: Kuldeep Singh
Author: Andre Lukas
Author: Kevin O'Meara
Author: Anthony Roberts
Author: Matthew R. Boelkins
Author: Elizabeth S. Meckes
Author: Jim Hefferon
Author: Richard Kaye
Author: Gilbert Strang