A Geometric Introduction to Linear Algebra
Author | : Daniel Pedoe |
Publisher | : |
Total Pages | : 246 |
Release | : 1963 |
Genre | : Algebras, Linear |
ISBN | : |
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Author | : Daniel Pedoe |
Publisher | : |
Total Pages | : 246 |
Release | : 1963 |
Genre | : Algebras, Linear |
ISBN | : |
Author | : Daniel Pedoe |
Publisher | : |
Total Pages | : 224 |
Release | : 1967 |
Genre | : |
ISBN | : |
Author | : Géza Schay |
Publisher | : Springer Science & Business Media |
Total Pages | : 338 |
Release | : 2012-03-30 |
Genre | : Mathematics |
ISBN | : 0817683259 |
Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.
Author | : Nathaniel Johnston |
Publisher | : Springer Nature |
Total Pages | : 482 |
Release | : 2021-05-19 |
Genre | : Mathematics |
ISBN | : 3030528111 |
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
Author | : Reinhold Baer |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2012-06-11 |
Genre | : Mathematics |
ISBN | : 0486154661 |
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
Author | : S. KUMARESAN |
Publisher | : PHI Learning Pvt. Ltd. |
Total Pages | : 240 |
Release | : 2000-01-01 |
Genre | : Mathematics |
ISBN | : 8120316282 |
This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.
Author | : Daniel Norman |
Publisher | : |
Total Pages | : 528 |
Release | : 2011-12-15 |
Genre | : Algebras, Linear |
ISBN | : 9780321748966 |
Norman/Wolczuk's An Introduction to Linear Algebra for Science and Engineering has been widely respected for its unique approach, which helps students understand and apply theory and concepts by combining theory with computations and slowly bringing students to the difficult abstract concepts. This approach includes an early treatment of vector spaces and complex topics in a simpler, geometric context. An Introduction to Linear Algebra for Science and Engineering promotes advanced thinking and understanding by encouraging students to make connections between previously learned and new concepts and demonstrates the importance of each topic through applications. NEW! MyMathLab is now available for this text. The course features assignable homework exercises plus the complete eBook, in addition to tutorial and assessment tools that make it easy to manage your course online.
Author | : Irving Kaplansky |
Publisher | : Courier Corporation |
Total Pages | : 182 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 9780486432335 |
The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.
Author | : Gary Gordon |
Publisher | : Cambridge University Press |
Total Pages | : 411 |
Release | : 2012-08-02 |
Genre | : Language Arts & Disciplines |
ISBN | : 0521145686 |
This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.
Author | : Bruce Solomon |
Publisher | : CRC Press |
Total Pages | : 474 |
Release | : 2014-12-12 |
Genre | : Mathematics |
ISBN | : 1482299305 |
The Essentials of a First Linear Algebra Course and MoreLinear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.An Engaging Treatment of the Interplay amo