Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.
Elementary Linear Algebra: Applications Version, 12th Edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.
This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems. The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations. The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares. Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.
Market_Desc: · Engineers· Mathematicians· Math students Special Features: · Clear, accessible, step-by-step explanations make the material crystal clear. The authors spotlight the relationships between concepts to give a unified and complete picture.· Establishes the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigen values. About The Book: This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.
Hallmark Features: Relationships Among Concepts: One of the main pedagogical goals is to convey to that linear algebra is a cohesive subject and not simply a collection of isolated definitions and techniques. This is done by using a crescendo of Equivalent Statements theorems that contrinually revisit relationships among systems of equations, matrices, determinants, vectors, linear transformations, and eigenvalues. Smooth Transition to Abstraction: Because the transition from Rn to general vector spaces is difficult for many students, considerable effort is devoted to explaining the purpose of abstraction and helping "visualize" abstract ideas by drawing analogies to familiar geomatric ideas. Mathematical Precision: In keeping with the level of the audience, proofs are presented in a patient style that is tailored for beginners. Suitability for a Diverse Audience: This text is designed to serve the needs of students in engineering, computer science, biology, physics, business, and economics, as well as those majoring in mathematics. Historical Notes: Numerous Historical Notes puts the topic studied in historical perspective to give a sense of mathematical history and convey that real people created the mathematical theorems and equations being studied.
Noted for its expository style and clarity of presentation, the revision of this best-selling Linear Algebra text combines Linear Algebra theory with applications, and addresses a new generation of students' changing needs.
This expanded version of the bestselling standard Sixth Edition covers the identical introductory linear algebra topics in the first ten chapters, but then goes beyond its sister publication with an additional chapter. Contained in this chapter are 20 applications of linear algebra drawn from business, economics, engineering, physics, computer science, geometry, approximation theory, ecology, sociology, demography and genetics. These applications are generally independent from each other and come with a list of mathematical prerequisites. The addition of these applications allows the instructor considerable flexibility in choosing suitable topics.
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