Principles of linear algebra with Mathematica / Kenneth Shiskowski; Karl Frinkle

Von:

Shiskowski, Kenneth, 1954- [aut]

Mitwirkende(r):

Frinkle, Karl, 1977- [aut]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Pure and applied mathematicsVerlag: Hoboken, NJ : Wiley, 2011Beschreibung: XIV, 598 S. : graph. Darst. ; 25 cmISBN:

9780470637951

Schlagwörter:

DDC-Klassifikation:

512/.5028553 22
512.5028553
MAT002050

MSC: MSC: *65Fxx | 15-04 | 65-01 | 68W30RVK: RVK: ST 601 | SK 915LOC-Klassifikation:

QA185.D37

Zusammenfassung: "Principles of Linear Algebra with Mathematica uniquely addresses the quickly growing intersection between subject theory and numerical computation. Computer algebra systems such as Mathematica are becoming ever more powerful, useful, user friendly and readily available to the average student and professional, but thre are few books which currently cross this gap between linear algebra and Mathematica. This book introduces algebra topics which can only be taught with the help of computer algebra systems, and the authors include all of the commands required to solve complex and computationally challenging linear algebra problems using Mathematica. The book begins with an introduction to the commands and programming guidelines for working with Mathematica®. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics, such as vectors, dot product, cross product, vector projection, are explored as well as the more advanced topics of rotations in space, rolling a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear programming, linear transformations from Rn to Rm, the geometry of linear and affine transformations, and least squares fits and pseudoinverses. Although computational in nature, the material is not presented in a simply theory-proof-problem format. Instead, all topics are explored in a reader-friendly and insightful way. The Mathematica® software is fully utilized to highlight the visual nature of the topic, as the book is complete with numerous graphics in two and three dimensions, animations, symbolic manipulations, numerical computations, and programming. Exercises are supplied in most chapters, and a related Web site houses Mathematica® code so readers can work through the provided examples"--Zusammenfassung: Principles of Linear Algebra with Mathematica uniquely addresses the quickly growing intersection between subject theory and numerical computation. Computer algebra systems such as Mathematica are becoming ever more powerful, useful, user friendly and readily available to the average student and professional, but thre are few books which currently cross this gap between linear algebra and Mathematica. This book introduces algebra topics which can only be taught with the help of computer algebra systems, and the authors include all of the commands required to solve complex and computationally challenging linear algebra problems using Mathematica. The book begins with an introduction to the commands and programming guidelines for working with Mathematica®. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics, such as vectors, dot product, cross product, vector projection, are explored as well as the more advanced topics of rotations in space, rolling a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear programming, linear transformations from Rn to Rm, the geometry of linear and affine transformations, and least squares fits and pseudoinverses. Although computational in nature, the material is not presented in a simply theory-proof-problem format. Instead, all topics are explored in a reader-friendly and insightful way. The Mathematica® software is fully utilized to highlight the visual nature of the topic, as the book is complete with numerous graphics in two and three dimensions, animations, symbolic manipulations, numerical computations, and programming. Exercises are supplied in most chapters, and a related Web site houses Mathematica® code so readers can work through the provided examples.PPN: PPN: 654166595

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Lin. Algeb. / Shi	Verfügbar	36507791090

Anzahl Vormerkungen: 0