 Home | Amazing | Today | Tags | Publishers | Years | Account | Search        Linear Algebra: A Geometric Approach, 9781429215213 (1429215216), W. H. Freeman, 2010 One of the most enticing aspects of mathematics, we have found, is the interplay of ideas from seemingly disparate disciplines of the subject. Linear algebra provides a beautiful illustration of this, in that it is by nature both algebraic and geometric. Our intuition concerning lines and planes in space acquires an algebraic interpretation that then makes sense more generally in higher dimensions. What’s more, in our discussion of the vector space concept, we will see that questions from analysis and differential equations can be approached through linear algebra. Indeed, it is fair to say that linear algebra lies at the foundation of modern mathematics, physics, statistics, and many other disciplines. Linear problems appear in geometry, analysis, and many applied areas. It is this multifaceted aspect of linear algebra that we hope both the instructor and the students will find appealing as they work through this book. From a pedagogical point of view, linear algebra is an ideal subject for students to learn to think about mathematical concepts and to write rigorous mathematical arguments. One of our goals in writing this text—aside from presenting the standard computational aspects and some interesting applications—is to guide the student in this endeavor. We hope this book will be a thought-provoking introduction to the subject and its myriad applications, one that will be interesting to the science or engineering student but will also help the mathematics student make the transition to more abstract advanced courses. We have tried to keep the prerequisites for this book to a minimum. Although many of our students will have had a course in multivariable calculus, we do not presuppose any exposure to vectors or vector algebra. We assume only a passing acquaintance with the derivative and integral in Section 6 of Chapter 3 and Section 4 of Chapter 4. Of course, in the discussion of differential equations in Section 3 of Chapter 7, we expect a bit more, including some familiarity with power series, in order for students to understand the matrix exponential. Add Your Comment(HTML tags aren't allowed.)  Fundamentals of Probability and Statistics for EngineersThis book was written for an introductory one-semester or two-quarter course in probability and statistics for students in engineering and applied sciences. No previous knowledge of probability or statistics is presumed but a good understanding of calculus is a prerequisite for the material.The development of this book was guided by a...   Solving PDEs in C++ (Computational Science and Engineering)This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic...   Complex Variables and the Laplace Transform for Engineers Widely acclaimed text on essential engineering mathematics. Theory of complex variables, Cauchy-Riemann equations, conformal mapping, multivalued functions, etc. Also Fourier and Laplace Transform theory, its applications to engineering, including integrals, linear integrodifferential equations, Z Transform, much more. Many excellent...  Formal Methods for Concurrency The aim of this work is to provide a practical introduction to the formal specification of concurrent and real-time systems. It is intended for those with some basic knowledge or experience of computing but does not assume knowledge of the particular problems of concurrent and real-time systems. It concentrates on one group of languages,...   Calculus (Stewart's Calculus Series) Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an...   A First Course in Probability (8th Edition) A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering...