The Resource Applied Linear Algebra, by Peter J. Olver, Chehrzad Shakiban, (electronic resource)

# Applied Linear Algebra, by Peter J. Olver, Chehrzad Shakiban, (electronic resource) Resource Information The item Applied Linear Algebra, by Peter J. Olver, Chehrzad Shakiban, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.

Label
Applied Linear Algebra
Title
Applied Linear Algebra
Statement of responsibility
by Peter J. Olver, Chehrzad Shakiban
Creator
Contributor
Author
Subject
Language
eng
Summary
This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.--
Member of
Assigning source
Provided by publisher
Olver, Peter J
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
• Springer eBooks
• Undergraduate Texts in Mathematics,
• Springer eBooks.
• Mathematics
• Matrix theory
• Algebra
• Mathematical physics
Label
Applied Linear Algebra, by Peter J. Olver, Chehrzad Shakiban, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Linear Algebraic Systems -- 2. Vector Spaces and Bases -- 3. Inner Products and Norms -- 4. Minimization and Least Squares Approximation -- 5. Orthogonality -- 6. Equilibrium -- 7. Linearity -- 8. Eigenvalues -- 9. Linear Dynamical Systems -- 10. Iteration of Linear Systems -- 11. Boundary Value Problems in One Dimension -- References -- Index
Control code
978-3-319-91041-3
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XXV, 679 pages)
File format
multiple file formats
Form of item
• online
• electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319910413
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
• c
Other control number
10.1007/978-3-319-91041-3
Other physical details
130 illustrations, 88 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1040612538
Label
Applied Linear Algebra, by Peter J. Olver, Chehrzad Shakiban, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
• cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
• txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Linear Algebraic Systems -- 2. Vector Spaces and Bases -- 3. Inner Products and Norms -- 4. Minimization and Least Squares Approximation -- 5. Orthogonality -- 6. Equilibrium -- 7. Linearity -- 8. Eigenvalues -- 9. Linear Dynamical Systems -- 10. Iteration of Linear Systems -- 11. Boundary Value Problems in One Dimension -- References -- Index
Control code
978-3-319-91041-3
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XXV, 679 pages)
File format
multiple file formats
Form of item
• online
• electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319910413
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
• c
Other control number
10.1007/978-3-319-91041-3
Other physical details
130 illustrations, 88 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1040612538