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Geometry --- Geometry, Enumerative --- Congresses. --- 51 --- Mathematics --- 51 Mathematics --- Geometry [Enumerative ] --- Congresses --- Geometry, Enumerative - Congresses.
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Quantum field theory --- Supersymmetry --- Geometry, Enumerative
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Mirror symmetry --- Calabi-Yau manifolds --- Geometry, Enumerative
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Conformal invariants --- Geometry, Enumerative --- Mirror symmetry --- Quantum field theory
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Algebraic geometry --- 51 --- Mathematics --- Conics, Spherical. --- Geometry, Enumerative. --- Intersection theory. --- 51 Mathematics
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Ten amazing curves personally selected by one of today's most important math writersCurves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of a curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves-and now you can share in this adventure.Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.
Curves. --- Calculus --- Conic sections --- Geometry, Analytic --- Geometry, Differential --- Geometry, Enumerative --- Mathematics --- Shapes
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This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions in enumerative geometry of a more classical flavour. Tropical geometry forms the calculus through which calculations in this subject are carried out. These notes cover the foundational aspects of this tropical calculus, geometric aspects of the degeneration formula for Gromov-Witten invariants, and the practical nuances of working with and enumerating tropical curves. Readers will get an assisted entry route to the subject, focusing on examples and explicit calculations.
Algebraic geometry. --- Algebraic Geometry. --- Geometry, Enumerative. --- Logarithms. --- Tropical geometry. --- Geometria enumerativa --- Geometria tropical --- Logaritmes
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Geometry, Enumerative --- String models --- Geometry, Enumerative. --- String models. --- Géométrie énumérative --- Modèles des cordes vibrantes (Physique nucléaire) --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Models, String --- String theory --- Nuclear reactions
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