Transcendental numbers

Includes bibliography (p. 452-466) and references

Chapter 1: Approximation of real and algebraic numbers Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points Chapter 3: Transcendence and algebraic independence of the values of [Epsilon]-functions which are not connected by algebraic equations over the field of rational functions Chapter 4: Transcendence and algebraic independence of the values of [Epsilon]-functions which are connected by algebraic equations over the field of rational functions Chapter 5: Transcendence and algebraic independence of the values of [Epsilon]-functions which satisfy first order linear differential equations Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations Chapter 7: Solutions of certain linear differential equations of arbitrary order Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order Chapter 9: Siegel's Theorem Chapter 10: Solutions of linear differential equations of prime order p Chapter 11: The algebraic independence measure of values of IE-functions Chapter 12: The algebraic independence measure of values of KE-functions Chapter 13: Effective bounds for measures