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Aciexz
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Do you need one before the other or does the order not matter?
Nabeshin said:Linear Algebra gives you a little more intimate knowledge of vectors, which play a key role in multivariable calc. So, while the two subjects deal with vastly different domains of mathematics, it is nonetheless beneficial to have taken linear algebra.
That said, LA is by no means a prerequisite. It helps, but not significantly enough to be a pre or even co requisite. You shouldn't worry about going into multivar having not taken calc III, as the classes are about 95% independent of each other.
Aciexz said:Hoffman & Kunze looks great, but is the latest version from '71? Would that matter?
And what about Friedrich? It also seems highly praised, and has a 2002 edition.
Yowhatsupt
Mar2-07, 12:36 AM
I'm planning on teaching myself linear algebra over the summer and was wondering what text to grab.
Thoughts, suggestions, recommendations etc are all appreciated.
morphism
Mar6-07, 02:13 AM
Hoffman-Kunze or Friedberg are the way to go. (I personally lean towards Friedberg because of the amount of material covered in that book, as well as the plethora of exercises.)
Linear Algebra is a branch of mathematics that deals with linear equations and their representations in terms of matrices and vectors. On the other hand, Multivariable Calculus is a branch of mathematics that deals with the study of functions of several variables, including their derivatives and integrals. While both subjects involve the use of vectors and matrices, Linear Algebra focuses on the algebraic manipulation of these objects, while Multivariable Calculus deals with the geometric interpretation and analysis of functions of multiple variables.
Some of the basic concepts in Linear Algebra include vectors, matrices, determinants, eigenvalues and eigenvectors, linear transformations, and systems of linear equations. These concepts are essential in understanding the properties and operations of linear equations and their representations.
Linear Algebra plays a crucial role in machine learning and data science by providing the mathematical framework for representing and manipulating data. Vectors and matrices are used to represent data points and perform operations such as dimensionality reduction, clustering, and classification. Additionally, Linear Algebra is also used in developing algorithms for tasks such as regression and optimization.
Multivariable Calculus has various real-life applications, including physics, engineering, economics, and computer graphics. It is used to model and analyze complex systems with multiple variables, such as motion, forces, and optimization problems. In computer graphics, Multivariable Calculus is used to define and manipulate three-dimensional objects and their motion.
To improve your understanding of Linear Algebra and Multivariable Calculus, it is essential to practice solving problems and working through exercises. Additionally, reading textbooks and watching online lectures can also help in gaining a deeper understanding of the concepts. Collaborating with others and discussing the material can also aid in clarifying any doubts and solidifying your understanding.