This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from most existing textbooks in approach, the work illustrates the various applications and connections of linear algebra with functional analysis, quantum mechanics, and algebraic and differential geometry.

The book is a collection of solved problems in linear algebra, this first volume covers linear equations, matrices and determinants. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.

With Linear Algebra Demystified, you master the subject one step at a time -- at your own speed. This unique self-teaching guide offers problems at the end of each chapter and section to pinpoint weaknesses, and a 100-question final exam to reinforce the entire book.

Matthew R. Boelkins, .. "Differential Equations with Linear Algebra"
November 2009 | English | ISBN-13: 978-0-19-538586-1 | 572 Pages | PDF | 5.91 MB

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations.
Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly.
The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications.

Factor fearlessly, conquer the quadratic formula, and solve linear equations
There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time!

Using 26 Easycal Tricks of faster Algebra I will train your mind to directly solve difficult algebra questions. Watch the video below and let me know if you noticed any increase in your calculation speed.

Algebrator - It is a software program that can solve almost any College Algebra problem that you may encounter. Unlike other programs, it is not dependent on preset problem templates a?? you literally type in your algebra homework, and the system solves it step-by-step, while providing explanations when you ask for them.

This book titled U. C. Mathematics (Short Questions and Answers) has been written for the students of B.A., B.Sc. general course for all Indian Universities. All the efforts have been made to make this book useful for other competitive examinations. Though the book is of general nature but an effort has been made to cover up most of the topics prescribed for B.A.,B.Sc. general courses.

Mathematics from Compton's Learning is the premiere educational resource from succeeding in math. No other math program is as effective, easier to understand, or faster to learn from. This innovative learning tool will simplify complex math concepts and teach you the fundamental rules, definitions, and reasoning to mathematics.

This book is the sequel to Stroud's excellent "Engineering Mathematics", which focused on the undergraduate engineer and the math that he/she should know by graduation. This book continues on with crystal-clear discussions of numerical methods, linear algebra including the singular value decomposition and its uses, linear programming methods, multiple integration, and partial differential equations, to name a few of the topics covered. Just because the mathematics is more advanced in this book does not mean that it is any less clear than its less advanced predecessor