{"product_id":"algebraic-and-differential-methods-for-nonlinear-control-theory-elements-of-commutative-algebra-and-algebraic-geometry-9783030120245","title":"Algebraic and Differential Methods for Nonlinear Control Theory: Elements of Commutative Algebra and Algebraic Geometry","description":"\u003cp\u003e • Author(s): Rafael Martínez-Guerra\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Engineering (General)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThis book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. \u003c\/p\u003e\u003cp\u003eThis text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra. \u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45279026905239,"sku":"9783030120245","price":8720.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783030120245.webp?v=1769292502","url":"https:\/\/atlanticbooks.com\/products\/algebraic-and-differential-methods-for-nonlinear-control-theory-elements-of-commutative-algebra-and-algebraic-geometry-9783030120245","provider":"Atlantic Books","version":"1.0","type":"link"}