Chapter 1: Understanding and Meaning 1 Understanding 1 Meaning 13 Chapter 2: Components and Conditions of an Act of Understanding 27 What Could Be an Act of Understanding? 28 Components of an Act of Understanding 39 Psychological Conditions of an Ac
CONTENTS 1 MATHEMATICAL PRELIMINARIES 1.1 Invariants 1 1.2 Some geometrical invariants 2 1.3 Elements of differential geometry 5 1.4 Gaussian coordinates and the invariant line element 7 1.5 Geometry and groups 10 1.6 Vectors 13 1.7 Quaternions 13 1
1. Physics in Flat Spacetime: Geometric Viewpoint 1.1 Overview 1.2 Foundational Concepts 1.3 Tensor Algebra Without a Coordinate System 1.4 Particle Kinetics and Lorentz Force Without a Reference Frame 1.5 Component Representation of Tensor Algebra
Table of Contents Foreword..............................................................................................................xvii Preface.....................................................................................................
This original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment int
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adventures. This volume presents the best of them in the domains of fast, intense and dis
