{"title":"Anthony J Pettofrezzo","description":null,"products":[{"product_id":"matrices-and-transformations-book-anthony-j-pettofrezzo-9780486636344","title":"Matrices and Transformations","description":"This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. \u003cbr\u003eThe first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. \u003ci\u003eMatrices and Transformations\u003c\/i\u003e assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49967456616721,"sku":"GOR004372784","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50096127181073,"sku":"CIN0486636348G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50265492652305,"sku":"CIN0486636348VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002893074705,"sku":"NIN9780486636344","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":51241690464529,"sku":"GOR003034885","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":52104623325457,"sku":"CIN0486636348A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":53230444216593,"sku":"GOR001992194","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486636348.jpg?v=1751103822"},{"product_id":"introductory-numerical-analysis-book-anthony-j-pettofrezzo-9780486450162","title":"Introductory Numerical Analysis","description":"Geared toward undergraduate mathematics majors, engineering students, and future high school mathematics teachers, this text offers an understanding of the principles involved in numerical analysis. Its main theme is interpolation from the standpoint of finite differences, least squares theory, and harmonic analysis. Additional considerations include the numerical solutions of ordinary differential equations and approximations through Fourier series. Discussions of the relationships between the calculus of finite differences and the calculus of infinitesimals will prove especially important to future teachers of mathematics.\u003cbr\u003eMore than seventy worked-out illustrative examples are featured; some include solutions by different methods, showing the relative merits of a variety of approaches. Over 280 multipart exercises range from drill problems to those requiring some degree of ingenuity on the part of the student. Answers are provided to problems with numerical solutions. The only prerequisites are a grasp of differential and integral calculus and some familiarity with determinants. An appendix containing definitions and several theorems from elementary determinant theory is included.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50318945321233,"sku":"CIN0486450163G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B00AUQWA48.jpg?v=1750741645"},{"product_id":"vectors-and-their-applications-book-anthony-j-pettofrezzo-9780486445212","title":"Vectors and Their Applications","description":"This text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of 2- and 3-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. 1966 edition. \u003cbr\u003e","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50355622379793,"sku":"CIN0486445216G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50981395759377,"sku":"GOR014159467","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":51397234852113,"sku":"GOR014256601","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51881530032401,"sku":"CIN0486445216VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486445216.jpg?v=1751230031"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/author-books-by-anthony-j-pettofrezzo.oembed","provider":"World of Books ","version":"1.0","type":"link"}