{"product_id":"9783030120245","title":"Mathematical and Analytical Techniques with Applications to Engineering: Elements of Commutative Algebra and Algebraic Geometry","description":"\u003ch1\u003eMathematical and Analytical Techniques with Applications to Engineering: Elements of Commutative Algebra and Algebraic Geometry\u003c\/h1\u003e \u003ch2\u003eMartínez-Guerra, Rafael; Martínez-Fuentes, Oscar; Montesinos-García, Juan Javier\u003c\/h2\u003e \u003cp\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2019-03-04\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030120245\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-12025-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 196\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44806531580044,"sku":"9783030120245","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030120245.jpg?v=1775752289","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030120245","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}