Proceedings from a minisymposium and AMS sessions highlight recent research on hypergeometric and q-series. Articles address challenges in mathematical physics, from integrating the Schrödinger equation and computing gravitational potentials to deri...Daugiau...
Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Daugiau...
This volume contains the proceedings of a minisymposium and two AMS special sessions in three conferences: Minisymposium on All Things Hypergeometric, q-series and Generalizations at the 16th International Symposium on Orthogonal Polynomials, Spec...Daugiau...
This book is a monograph about limit cycles and homoclinic networks in polynomial systems. The study of dynamical behaviors of polynomial dynamical systems was stimulated by Hilberts sixteenth problem in 1900. Many scientists have tried to work o...Daugiau...
This book provides an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. A novel feature is its narrative format, with much of the text written from the perspective...Daugiau...
This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory...Daugiau...
The roots of the modern theories of differential and q-difference equations go back in part to an article by George D. Birkhoff, published in 1913, dealing with the three sister theories of differential, difference and q-difference equations...Daugiau...
This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows are discussed, as well as the 1-dimensional parabola and inflection flows. The singular source, sink a...Daugiau...
This book provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-cal...Daugiau...
(Išleidimo metai: 14-Oct-2024, Paperback / softback, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781032929088)
Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such...Daugiau...
This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equations size, order all polynomial Diophantine equations by size, and then solve the equations in order.Natural questions abo...Daugiau...
The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical mechanics, coding theory, and DNA sequencing. It is one of the most studied graph polynomials.Handbook of...Daugiau...
(Išleidimo metai: 30-Jun-2024, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470474317)
A comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real algebraic geometry and optimization, two subjects that were usually taught separately until the beginning of the 21st century...Daugiau...
A comprehensive and user-friendly exploration of the tremendous recent developments that reveal the connections between real algebraic geometry and optimization, two subjects that were usually taught separately until the beginning of the 21st century...Daugiau...
Gallaghers theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallaghers theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville...Daugiau...
Contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics in fractal theory, fractal geometry, dynamical systems, and the application o...Daugiau...
