Brezinsky C. History of continued fractions and Pade approximants

559 p. Berlin - 1991.
The book is devoted to the history of continued fractions since the early ages till the last century.The Early ages.
Euclid's algorithm.
The square root.
Indeterminate equations.
History of notations.
The First Steps.
Ascending continued fractions.
The birth of continued fractions.
Miscellaneous contributions.
Pell's equation.
The beginning of the theory.
Brouncker and Wallis.
Huygens.
Number theory.
Golden Age.
Euler.
Lambert.
Lagrange.
Miscellaneous contributions.
The birth of Pade approximants.
Maturity.
Arithmetical continued fractions.
Algebraic properties.
Arithmetic.
Applications.
Number theory.
Convergence.
Algebraic continued fractions.
Expansion methods and properties.
Examples and applications.
Orthogonal polynomials.
Convergence and analytic theory.
Pade appeoximants.
Varia.
Modern times.
Number theory.
Set and probability theory.
Pade approximants.
Extensions and applications.
Appexndix.
Documents.
Scientific bibliography.
Works.
Historical Bibliography.
Name Index.
Subject Index.