Introduction 1
CHAPTER ONE THE PHYSICAL MODEL 5
1．The Radiative-transfer Model 5
2．The Classical Transport Equation 6
3．Invariant Imbedding 6
4．Discussion 9
CHAPTER TWO COMPUTATIONAL TECHNIQUES 11
1．Gaussian Quadrature 11
2．Zeros of Legendre Polynomials；Christoffel Numbers 12
3．Approximate System of Differential Equations 13
4．The Computational Method 15
5．Computational Results 16
CHAPTER THREE ANALYTIC ASPECTS 21
1．Existence and Uniqueness--Ⅰ 21
2．Existence and Uniqueness--Ⅱ 22
3．The Reduced Equation 22
4．Successive Approximations 23
5．Monotonicity 23
6．Limiting Behavior as x→∞ 24
7．Convergence 24
8．Some Open Questions 25
CHAPTER FOUR COMPUTATIONAL RESULTS 27
1．Typical Reflection Functions 27
2．Comparison with Ambarzumian＇s Results 28
3．Comparison with Chandrasekhar＇s Results 29
4．Additional Checks 30
References 33
Appendix 37
Index 345