Carl Ludwig Siegel's classic treatment of transcendental numbers from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Carl Ludwig Siegel

• Frontmatter,
• PREFACE,
• CONTENTS,
• CHAPTER I. THE EXPONENTIAL FUNCTION,
• CHAPTER II. SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS,
• CHAPTER III. THE TRANSCENDENCY OF ab FOR IRRATIONAL ALGEBRAIC b AND ALGEBRAIC a 0, 1,
• CHAPTER IV. ELLIPTIC FUNCTIONS,
• BIBLIOGRAPHY,
• Backmatter,