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Biomolecular feedback systems
Domitilla Del Vecchio, Richard Murray,This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It the...
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Comparison principles for general potential theories and pdes
Marco Cirant, F. Reese Harvey, H. Blaine Lawson, Kevin R. Payne,An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between fully nonlinear partial differential equations and generalized po...
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Hybrid dynamical systems
Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel,Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems ...
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Instability and non-uniqueness for the 2d euler equations, after m. vishik
Camillo De Lellis, Elia Brué, Dallas Albritton, Maria Colombo, Vikram Giri, Maximilian Janisch, Hyunju Kwon and moreAn essential companion to M. Vishik’s groundbreaking work in fluid mechanicsThe incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be der...
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Introduction to differential equations with dynamical systems
Stephen L. Campbell, Richard Haberman,Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, e...
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Invisible in the storm
Ian Roulstone, John Norbury,An accessible book that examines the mathematics of weather predictionInvisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times—the use of mathematics in weather prediction. Although humans have tried ...
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Linear systems theory
João P. Hespanha,A fully updated textbook on linear systems theoryLinear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers ...
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Mathematical modelling of zombies
Robert Smith?, Andrew Cartmel,In this terrible new COVID-19 world, the University of Ottawa is doing its part by offering a 50% discount on this very important book. We decided not to rewrite the witty book description, though we realize it is tone-deaf at the present moment, as we wanted to give readers a sense of the tone o...
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Quasiperiodic solutions of the generalized sqg equation
Javier Gómez-Serrano, Alexandru D. Ionescu, Jaemin Park,New, broadly applicable, parameter-free techniques for constructing stable quasiperiodic solutions of quasilinear evolution equationsThis monograph addresses an important problem in mathematical fluid dynamics: constructing stable, long-term solutions to certain quasilinear evolution equations. T...
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X and the city
John A. Adam,What mathematical modeling uncovers about life in the cityX and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaur...
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