DYNAMICS

By Y. HAERA

PART I INTRODUCTION TO LINEAR ALGEBRA AND DIFFERENTIAL GEOMETRY CHAPTER 1 VECTOR SPACE AND LINEAR MAPS CHAPTER 2 TENSOR ALGEBRA CHAPTER 3 SKEW-SYMMETRIC TENSORS AND EXTERIOR ALGEBRA CHAPTER 4 EUCLIDEAN AND SYMPLECTIC VECTOR SPACES CHAPTER 5 DUALITY AND EUCLIDEAN TENSORS CHAPTER 6 DIFFERENTIABLE MANIFOLDS CHAPTER 7 ONE-PARAMETER GROUPS OF DIFFEOMORPHISMS CHAPTER 8 EXTERIOR DERIVATIVE AND INTEGRATION CHAPTER 9 ABSOLUTE DIFFERENTIAL CALCULUS CHAPTER 10 AN OVERVIEW OF DYNAMICAL SYSTEMS PART II MECHANICS CHAPTER 11 KINEMATICS OF A POINT PARTICLE CHAPTER 12 KINEMATICS OF RIGID BODIES CHAPTER 13 PRINCIPLES OF DYNAMICS CHAPTER 14 DYNAMICS OF A MATERIAL POINT CHAPTER 15 GENERAL PRINCIPLES OF RIGID BODY DYNAMICS CHAPTER 16 DYNAMICS OF A RIGID BODY CHAPTER 17 LAGRANGIAN DYNAMICS CHAPTER 18 HAMILTONIAN DYNAMICS CHAPTER 19 THE HAMILTON-JACOBI THEORY CHAPTER 20 COMPLETELY INTEGRABLE SYSTEMS CHAPTER 21 ELEMENTS OF STATISTICAL MECHANICS OF EQUILIBRIUM CHAPTER 22 IMPULSIVE DYNAMICS CHAPTER 23 INTRODUCTION TO FLUID MECHANICS CHAPTER 24 AN INTRODUCTION TO SPECIAL RELATIVITY