Lazy Dragon Queen: A Cozy Harem LitRPG (Volume 7)

Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by 'doing' mathematics. It will work well for classes taught in small groups and can also be used for self-study. After working their way through the book, students will understand not only the theorems of linear algebra, but also some of the questions which were asked which enabled the theorems to be discovered in the first place. They will gain confidence in their problem solving abilities and be better prepared to understand more advanced courses. As the author explains, 'I don't think I understand a subject until I know the questions ... I wrote this book to organize those questions, problems, in my own mind.' Try this book with your students and they too will be able to organize and understand the questions of linear algebra. - Publisher. Read more... Scalars -- Vectors -- Bases --Transformations -- Duality -- Similarity -- Canonical forms -- Inner product spaces -- Normality -- Hints and solutions. Can One Learn Linear Algebra Solely By Solving Problems? Paul Halmos Thinks So, And You Will Too Once You Read This Book. The Linear Algebra Problem Book Is An Ideal Text For A Course In Linear Algebra. It Takes The Student Step By Step From The Basic Axioms Of A Field Through The Notion Of Vector Spaces, On To Advanced Concepts Such As Inner Product Spaces And Normality. All Of This Occurs By Way Of A Series Of 164 Problems, Each With Hints And, At The Back Of The Book, Full Solutions. This Book Is A Marvelous Example Of How To Teach And Learn Mathematics By 'doing' Mathematics. It Will Work Well For Classes Taught In Small Groups And Can Also Be Used For Self-study. After Working Their Way Through The Book, Students Will Understand Not Only The Theorems Of Linear Algebra, But Also Some Of The Questions Which Were Asked Which Enabled The Theorems To Be Discovered In The First Place. They Will Gain Confidence In Their Problem Solving Abilities And Be Better Prepared To Understand More Advanced Courses. As The Author Explains, 'i Don't Think I Understand A Subject Until I Know The Questions ... I Wrote This Book To Organize Those Questions, Problems, In My Own Mind.' Try This Book With Your Students And They Too Will Be Able To Organize And Understand The Questions Of Linear Algebra. - Publisher. Scalars -- Vectors -- Bases --transformations -- Duality -- Similarity -- Canonical Forms -- Inner Product Spaces -- Normality -- Hints And Solutions. Paul R. Halmos. Dunham Provides A Brief Overview Of Euler's Life And Delves Into The Conceptualization And Proofs Behind His Contributions To Mathematics, Including Euler's Seminal Work Opera Omnia. Euler And Number Theory -- Euler And Logarithms -- Euler And Infinite Series -- Euler And Analytic Number Theory -- Euler And Complex Variables -- Euler And Algebra -- Euler And Geometry -- Euler And Combinatorics. Edited By William Dunham. Includes Bibliographical References And Index. Many of the 130 problems were posed as weekly challenges for undergraduates. Most require nothing beyond calculus and many should be accessible to high school students. Solutions to problems are included. A collection of interesting problems in the fields of number theory, combinatorics and geometry