What If Two Vectors Are Parallel
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Introduction to Linear Algebra
Author: Serge Lang
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.
An Introduction to Differential Geometry - With the Use of Tensor Calculus
Author: Luther Pfahler Eisenhart
language: en
Publisher: Read Books Ltd
Release Date: 2011-03-23
Since 1909, when my Differential Geometry of Curves and Surfaces was published, the tensor calculus, which had previously been invented by Ricci, was adopted by Einstein in his General Theory of Relativity, and has been developed further in the study of Riemannian Geometry and various generalizations of the latter. In the present book the tensor calculus of cuclidean 3-space is developed and then generalized so as to apply to a Riemannian space of any number of dimensions. The tensor calculus as here developed is applied in Chapters III and IV to the study of differential geometry of surfaces in 3-space, the material treated being equivalent to what appears in general in the first eight chapters of my former book with such additions as follow from the introduction of the concept of parallelism of Levi-Civita and the content of the tensor calculus. Of the many exercises in the book some involve merely direct application of the text, but most of them constitute an extension of it. In the writing of the book I have received valuable assistance and criticism from Professor H. P. Robertson and from my students, Messrs. Isaac Battin, Albert J. Coleman, Douglas R. Crosby, John Giese, Donald C. May, and in particular, Wayne Johnson. The excellent line drawings and half-tone illustrations were conceived and executed by Mr. John H. Lewis.
CfE Higher Maths: SQA Revision Guide
This amazing CGP Revision Guide covers the entire SQA Higher Maths course. It's packed to the hilt with crystal-clear notes and examples, all in simple, informal language you can actually understand. Each topic has stacks of practice questions, all complete with step-by-step answers and mark schemes – there's never been a better way to revise!