Isbn: 9780243942305 - Journal Für Die Reine Und Angewandte Mathematik, 1886, Vol. 99: in Zwanglosen Heften (classic Reprint) (3 results)

- Softcover
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- Softcover
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- Softcover
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Paperback. Condition: New. Print on Demand. This book explores the mathematical properties of integrals arising from polynomial algebraic functions. Historically, the study of such integrals began with the work of Abel and his contemporaries, but it was expanded a century later by the author of this book, along with other mathematicians. In this book, the author studies integrals that are representable as algebraic functions of logarithmic and Abelian integrals. A significant portion of the book is dedicated to understanding the properties of such integrals and establishing relationships between the coefficients of the given differential equation and the forms of its integrals. Additionally, the author presents a general theory of the conditions under which integrals of linear non-homogeneous differential equations can be algebraically represented by transcendentals. This book is a valuable resource for mathematicians interested in the intricate connections between differential equations and algebraic geometry. Its insights have shaped our understanding of the subject and continue to influence mathematical research today. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…