By V. Dolotin
This distinct textual content offers the recent area of constant non-linear opposite numbers for all simple items and instruments of linear algebra, and develops an sufficient calculus for fixing non-linear algebraic and differential equations. It unearths the non-linear algebraic task as an basically wider and numerous box with its personal unique equipment, of which the linear one is a unique constrained case.
This quantity includes a specific and accomplished description of easy gadgets and basic innovations coming up from the speculation of non-linear equations, which represent the scope of what can be known as non-linear algebra. The items of non-linear algebra are offered in parallel with the corresponding linear ones, by way of an exposition of particular non-linear homes handled with using classical (such because the Koszul complicated) and unique new instruments. This quantity commonly makes use of a brand new diagram process and is enriched with numerous illustrations during the textual content. therefore, many of the fabric is new and is obviously uncovered, ranging from the hassle-free point. With the scope of its point of view functions spreading from basic algebra to mathematical physics, it's going to curiosity a extensive viewers of physicists; mathematicians, in addition to complicated undergraduate and graduate students.
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