{"product_id":"algebraic-and-differential-methods-for-nonlinear-control-theory-elements-of-commutative-algebra-and-algebraic-geometry-von-rafael-martinez-guerra-oscar-martinez-fuentes-juan-javier-montesinos-garcia","title":"Algebraic and Differential Methods for Nonlinear Control Theory","description":"\n                                This 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. \n                \n                \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\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030120245\"\u003e\u003ch3\u003eElements of Commutative Algebra and Algebraic Geometry\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030120276\"\u003e\u003ch3\u003eElements of Commutative Algebra and Algebraic Geometry\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783030120245","offer_id":47372898107717,"sku":"9783030120245","price":128.39,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783030120276","offer_id":39419548794973,"sku":"9783030120276","price":90.94,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/40341ed8-b549-452d-8eee-3b93839474fa.jpg?v=1775104081","url":"https:\/\/shop.autorenwelt.de\/products\/algebraic-and-differential-methods-for-nonlinear-control-theory-elements-of-commutative-algebra-and-algebraic-geometry-von-rafael-martinez-guerra-oscar-martinez-fuentes-juan-javier-montesinos-garcia","provider":"Autorenwelt Shop","version":"1.0","type":"link"}