{"product_id":"invitation-to-linear-algebra-9781032476872","title":"Invitation to Linear Algebra","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003e\u003cem\u003eInvitation to Linear Algebra\u003c\/em\u003e\u003c\/strong\u003e is an informative, clearly written, flexible textbook for instructors and students. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eBased on over 30 years of experience as a mathematics professor, the author invites students to develop a more informed understanding of complex algebraic concepts using innovative, easy-to-follow methods. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eThe book is organized into lessons rather than chapters. This limits the size of the mathematical morsels that students must digest, making it easier for instructors to budget class time. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eEach definition is carefully explained with detailed proofs of key theorems, including motivation for each step. This makes the book more flexible, allowing instructors to choose material that reflects their and their students' interests. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eA larger than normal amount of exercises illustrate how linear and nonlinear algebra apply in the students' areas of study. \u003c\/p\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003e\u003cp\u003eFeatures\u003c\/p\u003e\u0026lt;\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003eMatrices and Linear Systems\u003c\/strong\u003e. Introduction to Matrices. Matrix Multiplication. Additional Topics in Matrix Algebra. Introduction to Linear Systems. The Inverse of a Matrix. \u003cb\u003eDeterminants. \u003c\/b\u003eIntroduction to Determinants. Properties of Determinants. Applications of Determinants. \u003cb\u003eA First Look at Vector Spaces. \u003c\/b\u003eIntroduction to Vector Spaces. Subspaces of Vector Spaces. Linear Dependence and Independence. Basis and Dimension. The Rank of a Matrix. Linear Systems Revisited. \u003cb\u003eMore About Vector Spaces. \u003c\/b\u003eSums and Direct Sums of Subspaces. Quotient Spaces. Change of Basis. Euclidean Spaces. Orthonormal Bases. \u003cb\u003eLinear Transformations. \u003c\/b\u003eIntroduction to Linear Transformations. Isomorphisms of Vector Spaces. The Kernel and Range of a Linear Transformation. Matrices of Linear Transformations. Similar Matrices. \u003cb\u003eMatrix Diagonalization. \u003c\/b\u003eEigenvalues and Eigenvectors. Diagonalization of Square Matrices. Diagonalization of Symmetric Matrices. \u003cb\u003eComplex Vector Spaces. \u003c\/b\u003eComplex Vector Spaces. Unitary and Hermitian Matrices. \u003cb\u003eAdvanced Topics. \u003c\/b\u003ePowers of Matrices. Functions of a Square Matrix. Matrix Power Series. Minimal Polynomials. Direct Sum Decompositions. Jordan Canonical Form. \u003cb\u003eApplications. \u003c\/b\u003eSystems of First Order Differential Equations. Stability Analysis of First Order Systems. Coupled Oscillations. \u003cb\u003eAppendix. \u003c\/b\u003eSolutions and Hints to Selected Exercises. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":51019076960599,"sku":"9781032476872","price":43.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781032476872.jpg?v=1750779229","url":"https:\/\/bookcurl.com\/products\/invitation-to-linear-algebra-9781032476872","provider":"Book Curl","version":"1.0","type":"link"}