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Spectral Geometry of Partial Differential Operators

by Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type ... Read more

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The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type
... Read more
Evolutionary Equations

Picard's Theorem for Partial Differential Equations, and Applications

by Christian Seifert, Sascha Trostorff, Marcus Waurick ...

Series series Mathematics and Statistics (R0)
This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be ... Read more

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This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be
... Read more
Introducción a la estadística con aplicaciones en Ciencias Sociales

by Humberto Llinás Solano, Jesús Alonso Cabrera, Karen Florez Lozano ...

Esta obra fue desarrollada a partir de las notas de clase de la asignatura "Fundamentos de Estadística" en los programas de Psicología, Relaciones Internacionales y Comunicación Social de la Universidad del Norte, y puede ser de utilidad en otras áreas de las Ciencias Sociales. Está dividida en tres capítulos: "Estadística descriptiva", "Distribuciones de probabilidad" y "Estadística inferencial", ... Read more

$7.99 USD or Free with Kobo Plus

Esta obra fue desarrollada a partir de las notas de clase de la asignatura "Fundamentos de Estadística" en los programas de Psicología, Relaciones Internacionales y Comunicación Social de la Universidad del Norte, y puede ser de utilidad en otras áreas de las Ciencias Sociales. Está dividida en tres capítulos: "Estadística descriptiva", "Distribuciones de probabilidad" y "Estadística inferencial",
... Read more
Hilbert

by Constance Reid ...

Series series Social Sciences (R0)
Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the ... Read more

$31.49 USD

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the
... Read more
Prediction at Risk

Value-at-Risk concept for assessing machine learning prediction risk

by Maciej Zalwert ...

This paper introduces Prediction-at-Risk (PaR) methodology for assessing machine learning (AI/ML) inference risk. PaR is an adaptation of the Value-at-Risk (VaR) technique used in market risk management. In contrast to the VaR measure, where estimates are based on a quantile distribution of a stochastic process, the PaR estimates are based on a quantile distribution of a model’s output. The ... Read more

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This paper introduces Prediction-at-Risk (PaR) methodology for assessing machine learning (AI/ML) inference risk. PaR is an adaptation of the Value-at-Risk (VaR) technique used in market risk management. In contrast to the VaR measure, where estimates are based on a quantile distribution of a stochastic process, the PaR estimates are based on a quantile distribution of a model’s output. The
... Read more
The Navier-Stokes Millenium Problem

Mathematics, #4

by James Constant ...

Series Book 4 - Mathematics
Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US $1,000,000 prize to the first person who provides a solution for a ... Read more

$9.99 USD or Free with Kobo Plus

Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US $1,000,000 prize to the first person who provides a solution for a
... Read more
Stochastics of Environmental and Financial Economics

Centre of Advanced Study, Oslo, Norway, 2014-2015

Edited by Fred Espen Benth, Giulia Di Nunno ...

Series series Springer Nature Proceedings excluding Computer Science
These Proceedings offer a selection of peer-reviewed research and survey papers by some of the foremost international researchers in the fields of finance, energy, stochastics and risk, who present their latest findings on topical problems. The papers cover the areas of stochastic modeling in energy and financial markets; risk management with environmental factors from a stochastic control ... Read more

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These Proceedings offer a selection of peer-reviewed research and survey papers by some of the foremost international researchers in the fields of finance, energy, stochastics and risk, who present their latest findings on topical problems. The papers cover the areas of stochastic modeling in energy and financial markets; risk management with environmental factors from a stochastic control
... Read more
Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

by Paul J. Nahin ...

Series series Princeton Science Library
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of ... Read more

$17.99 USD

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of
... Read more
Introduction to Differential Equations with Dynamical Systems

by Richard Haberman, Stephen L. Campbell ...

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, engineering, and science students experience during a first course on differential equations. And, while ... Read more

$89.99 USD

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, engineering, and science students experience during a first course on differential equations. And, while
... Read more
X and the City

Modeling Aspects of Urban Life

by 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, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow ... Read more

$19.49 USD

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, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow
... Read more
Schaum's Outline of Differential Equations, Fifth Edition

by Richard Bronson, Gabriel B. Costa ...

Study smarter and stay on top of your differential equations course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website!Schaum’s Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and ... Read more

$16.59 USD

Study smarter and stay on top of your differential equations course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website!Schaum’s Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and
... Read more
How To Derive A Formula - Volume 1: Basic Analytical Skills And Methods For Physical Scientists

by Alexei A Kornyshev, Dominic J O' Lee ...

Series series Essential Textbooks In Physics
Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling ... Read more

$34.19 USD

Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling
... Read more
Recent Advances in Pure and Applied Mathematics

Edited by Francisco Ortegón Gallego, Juan Ignacio García García ...

Series series Mathematics and Statistics (R0)
This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and ... Read more

$49.49 USD

This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control in real world problems such as fluid mechanics, the numerical simulation of cancer PDE models, and
... Read more
Trends in Contemporary Mathematics

Edited by Vincenzo Ancona, Elisabetta Strickland ...

Series series Springer Nature Proceedings excluding Computer Science
The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non ... Read more

$89.09 USD

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non
... Read more
Topological Methods in the Study of Boundary Value Problems

by Pablo Amster ...

Series series Mathematics and Statistics (R0)
This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general ... Read more

$49.49 USD

This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general
... Read more
Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition)

by Granville Sewell ...

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in ... Read more

$34.19 USD

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in
... Read more
Numerical Solutions for Partial Differential Equations

Problem Solving Using Mathematica

by Victor Grigor'e Ganzha, Evgenii Vasilev Vorozhtsov ...

Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily ... Read more

$91.99 USD

Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily
... Read more
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions

by Jean-Luc Marichal, Naïm Zenaïdi ...

Series series Mathematics and Statistics (R0)
In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his ... Read more

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In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his
... Read more
Control Problems for Conservation Laws with Traffic Applications

Modeling, Analysis, and Numerical Methods

by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli ...

Series series Mathematics and Statistics (R0)
Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, ... Read more

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Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary,
... Read more
Stochastic Transport in Upper Ocean Dynamics

STUOD 2021 Workshop, London, UK, September 20–23

Edited by Bertrand Chapron, Dan Crisan, Darryl Holm, Etienne Mémin, Anna Radomska ...

Series series Springer Nature Proceedings excluding Computer Science
This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer ... Read more

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This open access proceedings volume brings selected, peer-reviewed contributions presented at the Stochastic Transport in Upper Ocean Dynamics (STUOD) 2021 Workshop, held virtually and in person at the Imperial College London, UK, September 20–23, 2021. The STUOD project is supported by an ERC Synergy Grant, and led by Imperial College London, the National Institute for Research in Computer
... Read more
Advanced Engineering Mathematics with Mathematica

by Edward B. Magrab ...

Advanced Engineering Mathematics with Mathematica® presents advanced analytical solution methods that are used to solve boundary-value problems in engineering and integrates these methods with Mathematica® procedures. It emphasizes the Sturm–Liouville system and the generation and application of orthogonal functions, which are used by the separation of variables method to solve partial ... Read more

$189.99 USD

Advanced Engineering Mathematics with Mathematica® presents advanced analytical solution methods that are used to solve boundary-value problems in engineering and integrates these methods with Mathematica® procedures. It emphasizes the Sturm–Liouville system and the generation and application of orthogonal functions, which are used by the separation of variables method to solve partial
... Read more
Differential Equations

Practice Problems, Methods, and Solutions

by Mehdi Rahmani-Andebili ...

Series series Mathematics and Statistics (R0)
This study guide is designed for students taking courses in differential equations. The textbook includes examples, questions, and exercises that will help engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on ... Read more

$53.99 USD

This study guide is designed for students taking courses in differential equations. The textbook includes examples, questions, and exercises that will help engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on
... Read more
Navier-Stokes-Fourier Equations

A Rational Asymptotic Modelling Point of View

by Radyadour Kh. Zeytounian ...

Series series Engineering (R0)
This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics ... Read more

$143.09 USD

This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics
... Read more
A First Course In Chaotic Dynamical Systems

Theory And Experiment

by Robert L. Devaney ...

Series series Textbooks in Mathematics
A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research ... Read more

$69.99 USD

A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research
... Read more

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