{"product_id":"matrix-theory-9780486411798","title":"Matrix Theory","description":"\u003ch2\u003eMatrix Theory: Essential Mathematical Foundation for Engineers and Scientists\u003c\/h2\u003e\n\n\u003cp\u003eMatrix Theory by Joel N. Franklin provides a rigorous yet accessible introduction to matrix mathematics, developed from the author's course at the California Institute of Technology. This comprehensive textbook addresses the fundamental role of matrices in representing linear transformations between finite sets of numbers—a critical concept in modern computational mathematics.\u003c\/p\u003e\n\n\u003ch2\u003eComprehensive Coverage of Matrix Mathematics\u003c\/h2\u003e\n\n\u003cp\u003eThe book begins with a concise presentation of determinant theory, progressing through classical linear algebra. Students explore triangularizations of Hermitian and non-Hermitian matrices, followed by a detailed proof of Jordan's matrix theory. Advanced topics include variational principles, perturbation theory, and matrix numerical analysis, concluding with an introduction to linear computations.\u003c\/p\u003e\n\n\u003ch2\u003eApplications Across Multiple Disciplines\u003c\/h2\u003e\n\n\u003cp\u003eNot only is matrix theory significant in a wide range of fields mathematical economics, quantum physics, geophysics, electrical network synthesis, crystallography, and structural engineering, among others-but with the vast proliferation of digital computers, knowledge of matrix theory is a must for every modern engineer, mathematician, and scientist. Matrices represent \u003ci\u003elinear\u003c\/i\u003e transformations from a finite set of numbers to another finite set of numbers.\u003c\/p\u003e\n\n\u003cp\u003eSince many important problems are \u003ci\u003elinear,\u003c\/i\u003e and since digital computers with finite memory manipulate only \u003ci\u003efinite\u003c\/i\u003e sets of numbers, the solution of linear problems by digital computers usually involves matrices.\u003c\/p\u003e\n\n\u003ch2\u003eDesigned for Multiple Learning Paths\u003c\/h2\u003e\n\n\u003cp\u003eThis Dover mathematics textbook meets diverse educational needs. The mathematically rigorous approach serves students of pure and applied mathematics, while its applications-oriented content benefits engineering, science, and social science students. The book provides essential preparation for numerical analysis and computer science applications.\u003c\/p\u003e\n\n\u003ch2\u003eMinimal Prerequisites Required\u003c\/h2\u003e\n\n\u003cp\u003eThe book assumes very little mathematical preparation, and except for the single section on the continuous dependence of eigenvalues on matrices, a knowledge of elementary algebra and calculus is sufficient. This accessibility makes it suitable for undergraduate and graduate students beginning their study of matrix theory.\u003c\/p\u003e\n\n\u003ch2\u003eAbout the Author\u003c\/h2\u003e\n\n\u003cp\u003eJoel N. Franklin developed this curriculum through his teaching experience at the California Institute of Technology, ensuring the material reflects proven pedagogical methods and practical applications in modern computational mathematics.\u003c\/p\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50680627757330,"sku":"9780486411798","price":12.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_4b5a234d-8ab4-4be7-98be-8b2807c6cb90.jpg?v=1734923423","url":"https:\/\/surprise-castle.myshopify.com\/products\/matrix-theory-9780486411798","provider":"Surprise Castle","version":"1.0","type":"link"}