Uncertain Analysis in Finite Elements Models
This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter ....
Fractional Calculus: New Applications in Understanding Nonlinear Phenomena
In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern ....
On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions
The theory of entire and meromorphic functions is a very important area of complex analysis. This monograph aims to expand the discussion about some growth properties of integer translated composite ....
Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This ....
This textbook is a primer for students on statistics. It covers basic statistical operations, an introduction to probability, distributions and regression. The book is divided into a series of 10 ....
Markov Chain Process (Theory and Cases)
Markov Chain Process: Theory and Cases is designed for students of natural and formal sciences. It explains the fundamentals related to a stochastic process that satisfies the Markov property. It ....
Advanced Calculus - Fundamentals of Mathematics
Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. ....
An Introduction to Sobolev Spaces
Sobolev spaces were firstly defined by the Russian mathematician, Sergei L. Sobolev (1908-1989) in the 1930s. Several properties of these spaces have been studied by mathematicians until today. Functions that ....
An Introduction to Trigonometry and its Applications
This book represents a novel approach for the trigonometry and an original scientific work in this field, by using the ensemble structure composed of the real analysis and the axiomatic ....
Analysis and Optimal Control of Phase-Field Transition System: Fractional Steps Methods
All developments in mathematics and computer science facilitate development of industrial applications. This e-book approaches the subject in a profoundly interdisciplinary manner. The spectrum of subjects covered in this e-book ....