Synopsis
Delve into the analytical geometry of curves with Baker’s Principles of Geometry, Vol. 5. This volume explores how curves behave in space and how algebraic methods describe their shapes, using clear, rigorous reasoning to connect geometry with functions and surfaces.
This edition surveys key ideas in the theory of curves, including manifolds, Riemann surfaces, and the interplay between algebraic functions and geometry. It highlights tools like loops for periods, adjoint curves, and canonical forms, showing how complex structures arise from fundamental principles.
- Periods of algebraic integrals and their geometric meaning
- Riemann-surface representations for multi-valued functions
- Canonical forms, adjoint curves, and sections of linear series
- Methods such as loops and modular theory in algebraic geometry
Ideal for readers of advanced mathematics, researchers in geometry, and students pursuing a deeper understanding of curves and their spaces.
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Principles of Geometry, Vol. 5: Analytical Principles of the Theory of Curves
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of algebraic geometry, a field that explores the relationships between geometric shapes and algebraic equations. The author guides readers through a journey of discovery, starting with the fundamental properties of rational curvesââ âthose whose points can be described using rational functions. The reader then encounters elliptic curves, which are more complex and require the use of elliptic functions for their complete understanding. The book explores the connections between these curves, their multiple points, and the associated integrals, uncovering fundamental connections between geometry and analysis. The text is particularly engaging for its exploration of the evolution of these concepts from the nineteenth century onward, illustrating how these discoveries revolutionized our understanding of geometric shapes and their associated functions. By elucidating the theoretical foundation of algebraic geometry, this book offers a comprehensive guide for anyone seeking a deep understanding of the subject. 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. Seller Inventory # 9781330379080_0
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Principles of Geometry, Vol. 5 (Classic Reprint)
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Principles of Geometry, Vol. 5 : Analytical Principles of the Theory of Curves (Classic Reprint)
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