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
1 Preliminaries 3 1.1 A Bit of History 4 1.2 Introduction 7 1.3 Motivation 8 1.3.1 Optics 8 1.3.2 Shape of a Liquid Drop 10 1.3.3 Optimization of a River-Crossing Trajectory 12 1.3.4 Summary 14 1.4 Extrema of Functions 14 1.5 Constrained Extrema and
This second edition of Baumann's Mathematica in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions. Each example and c
半导体制造技术发展到FinFET以后节点继续scaling的方向，如GAA、NanoSheet等。benefits will be high performance, Jones said. At 5nm, it will cost $476 million to design a
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