{"product_id":"fundamentals-of-matrix-analysis-with-applications-set-hardback-9781118995419","title":"Fundamentals of Matrix Analysis with Applications Set (Hardback) 9781118995419","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFundamentals of Matrix Analysis with Applications Set\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eEdward Barry Saff (Author), Arthur David Snider (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118995419, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 December 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e676 pages\u003cbr\u003e26.2 x 18.5 x 4 cm, 1.2 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThis set includes \u003ca title=\"Information about this product: Fundamentals of Matrix Analysis with Applications\" href=\"http:\/\/www.wiley.com\/WileyCDA\/WileyTitle\/productCd-1118953657.html\"\u003eFundamentals of Matrix Analysis with Applications\u003c\/a\u003e \u0026amp; \u003ca title=\"Information about this product: Solutions Manual to Accompany Fundamentals of Matrix Analysis with Applications\" href=\"http:\/\/www.wiley.com\/WileyCDA\/WileyTitle\/productCd-1118996321.html\"\u003eSolutions Manual to Accompany Fundamentals of Matrix Analysis with Applications\u003c\/a\u003e\u003c\/p\u003e \u003cp\u003eProviding comprehensive coverage of matrix theory from a geometric and physical perspective, \u003ci\u003eFundamentals of Matrix Analysis with Applications\u003c\/i\u003e describes the functionality of matrices and their ability to quantify and analyze many practical applications.\u003c\/p\u003e \u003cp\u003eWritten by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations.\u003c\/p\u003e \u003cp\u003eBeginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. \u003ci\u003eFundamentals of Matrix Analysis with Applications \u003c\/i\u003ealso features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNovel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications\u003c\/li\u003e \u003cli\u003eCoverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients\u003c\/li\u003e \u003cli\u003eChapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts\u003c\/li\u003e \u003c\/ul\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface\u003c\/p\u003e \u003cp\u003ePart I\u003c\/p\u003e \u003cp\u003eIntroduction: Three Examples\u003c\/p\u003e \u003cp\u003eChapter 1. SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS\u003c\/p\u003e \u003cp\u003e1.1 Linear Algebraic Equations\u003c\/p\u003e \u003cp\u003e1.2 Matrix Representation of Linear Systems and the Gauss]Jordan Algorithm\u003c\/p\u003e \u003cp\u003e1.3 The Complete Gauss Elimination Algorithm\u003c\/p\u003e \u003cp\u003e1.4 Echelon Form and Rank\u003c\/p\u003e \u003cp\u003e1.5 Computational Considerations\u003c\/p\u003e \u003cp\u003eChapter 2. MATRIX ALGEBRA\u003c\/p\u003e \u003cp\u003e2.1 Matrix Multiplication\u003c\/p\u003e \u003cp\u003e2.2 Some Applications of Matrix Operators\u003c\/p\u003e \u003cp\u003e2.3 The Inverse and the Transpose\u003c\/p\u003e \u003cp\u003e2.4 Determinants\u003c\/p\u003e \u003cp\u003e2.5 Three Important Determinant Rules\u003c\/p\u003e \u003cp\u003eReview Problems for Part I\u003c\/p\u003e \u003cp\u003eTechnical Writing Exercises for Part I\u003c\/p\u003e \u003cp\u003eGroup Projects for Part I\u003c\/p\u003e \u003cp\u003eA. LU Factorization\u003c\/p\u003e \u003cp\u003eB. Two]Point Boundary Value Problems\u003c\/p\u003e \u003cp\u003eC. Electrostatic Voltage\u003c\/p\u003e \u003cp\u003eD. Kirchhoff's Laws\u003c\/p\u003e \u003cp\u003eE. Global Positioning Systems\u003c\/p\u003e \u003cp\u003ePart II\u003c\/p\u003e \u003cp\u003eIntroduction: The Structure of General Solutions to Linear Algebraic Equations\u003c\/p\u003e \u003cp\u003eChapter 3. VECTOR SPACES\u003c\/p\u003e \u003cp\u003e3.1 General Spaces, Subspaces, and Spans\u003c\/p\u003e \u003cp\u003e3.2 Linear Dependence\u003c\/p\u003e \u003cp\u003e3.3 Bases, Dimension, and Rank\u003c\/p\u003e \u003cp\u003eChapter 4. ORTHOGONALITY\u003c\/p\u003e \u003cp\u003e4.1 Orthogonal Vectors and the Gram]Schmidt Algorithm Norm\u003c\/p\u003e \u003cp\u003e4.2 Orthogonal Matrices\u003c\/p\u003e \u003cp\u003e4.3 Least Squares\u003c\/p\u003e \u003cp\u003e4.4 Function Spaces\u003c\/p\u003e \u003cp\u003eReview Problems for Part II\u003c\/p\u003e \u003cp\u003eMagic square\u003c\/p\u003e \u003cp\u003eControllability\u003c\/p\u003e \u003cp\u003eTechnical Writing Exercises for Part II\u003c\/p\u003e \u003cp\u003eGroup Projects for Part II\u003c\/p\u003e \u003cp\u003eA. Orthogonal Matrices, Rotations, and Reflections\u003c\/p\u003e \u003cp\u003eB. Householder Reflectors and the QR Factorization\u003c\/p\u003e \u003cp\u003eC. Infinite Dimensional Matrices\u003c\/p\u003e \u003cp\u003ePart III\u003c\/p\u003e \u003cp\u003eIntroduction: Reflect on This\u003c\/p\u003e \u003cp\u003eChapter 5. Eigenvalues and Eigenvectors\u003c\/p\u003e \u003cp\u003e5.1 Eigenvector Basics\u003c\/p\u003e \u003cp\u003e5.2 Calculating Eigenvalues and Eigenvectors\u003c\/p\u003e \u003cp\u003e5.3 Symmetric and Hermitian Matrices\u003c\/p\u003e \u003cp\u003eChapter 5. Summary\u003c\/p\u003e \u003cp\u003eChapter 6. Similarity\u003c\/p\u003e \u003cp\u003e6.1 Similarity Transformations and Diagonalizability\u003c\/p\u003e \u003cp\u003e6.2 Principal Axes Normal Modes\u003c\/p\u003e \u003cp\u003e6.3 Schur Decomposition and Its Implications\u003c\/p\u003e \u003cp\u003e6.4 The Power Method and the QR Algorithm\u003c\/p\u003e \u003cp\u003eChapter 7. Linear Systems of Differential Equations\u003c\/p\u003e \u003cp\u003e7.1 First Order Linear Systems of Differential Equations\u003c\/p\u003e \u003cp\u003e7.2 The Matrix Exponential Function\u003c\/p\u003e \u003cp\u003e7.3 The Jordan Normal Form\u003c\/p\u003e \u003cp\u003eReview Problems for Part III\u003c\/p\u003e \u003cp\u003eTechnical Writing Exercises for Part III\u003c\/p\u003e \u003cp\u003eGroup Projects for Part III\u003c\/p\u003e \u003cp\u003eA. Positive Definite Matrices\u003c\/p\u003e \u003cp\u003eB. Hessenberg Form\u003c\/p\u003e \u003cp\u003eC. The Discrete Fourier Transform and Circulant Matrices\u003c\/p\u003e \u003cp\u003eAnswers to Odd]Numbered Problems\u003c\/p\u003e \u003cp\u003eIndex\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52421389615384,"sku":"9781118995419","price":99.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781118995419.jpg?v=1784594381","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fundamentals-of-matrix-analysis-with-applications-set-hardback-9781118995419","provider":"Freshly Printed Books","version":"1.0","type":"link"}