Theory of the Algebraic Functions of a Complex Variable (Classic Reprint) - Softcover

John Charles Fields

 
9781330185988: Theory of the Algebraic Functions of a Complex Variable (Classic Reprint)

Synopsis

This book offers a groundbreaking exploration of algebraic functions, providing a comprehensive theory that holds for any algebraic equation, no matter how complicated its singularities or character at infinity. The author, an esteemed mathematician, has spent years developing and refining this theory, which culminates in a groundbreaking theorem with far-reaching applications across the field of algebraic functions. The principles presented in this volume lay the foundation for further advancements in the theory of algebraic numbers and functions of multiple variables. Through a novel representation of algebraic function branches near singular manifolds, the author opens up new avenues for research and problem-solving. This book is an invaluable resource for mathematicians seeking to deepen their understanding of algebraic functions and their applications.

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