Calculus and mathematical analysis

This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds.

The multi-volume set LNAI 12975 until 12979 constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2021, which was held during September 13-17, 2021.

This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it.

Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems.

This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure.

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences.

Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions.

This book combines computational intelligence and mathematics to solve theoretical and real-world problems.

This book presents the bending theory of hyperelastic beams in the context of finite elasticity.

This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids.

The use of computers and computational methods has become ubiquitous in biological and biomedical research.

The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra-namely Higgs bundles.

Advanced Calculus

Advanced Calculus

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation.

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations.

There is an explosion of interest in Bayesian statistics, primarily because recently created computational methods have finally made Bayesian analysis tractable and accessible to a wide audience.

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering.

The use of computers and computational methods has become ubiquitous in biological and biomedical research.

This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow.

Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators.

This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets.

This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets.

Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems.

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants.

This textbook covers the new development in processor architecture and parallel hardware.

This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis.

While Volume I (by W.

Stochastic Differential Equations and Diffusion Processes

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems.

Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis - providing a mathematically sophisticated introduction to functional analytical concepts.

This book provides an introduction to the structure and stability properties of solutions of functional differential equations.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, Fourier Series and Boundary Value Problems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.