Calculus and mathematical analysis

The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves.

Get ready for your AP Calculus AB exam with this straightforward, easy-to-follow study guide--updated to match the latest test changesThe wildly popular test prep guide updated and enhanced for smartphone users 5 Steps to a 5: AP Calculus AB 2017 provides a proven strategy to achieving high scores on this demanding Advanced Placement exam.

The application of mathematical models in the analysis of learning data has a rich tradition in experimental psychology.

Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem.

Banach algebras is a multilayered area in mathematics with many ramifications.

This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland.

Bessel functions have the peculiarity of being functions of two independent variables: argument and order.

This book is a concise introduction to the stochastic calculus of variations for processes with jumps.

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory.

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables.

This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations.

Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering.

This two-volume work introduces the theory and applications of Schur-convex functions.

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid.

This volume deals with first and second order complex equations of hyperbolic and mixed types.

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems.

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.

Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales.

An Essential Guide to Control Engineering FundamentalsUnderstand the day-to-day procedures of today's control engineer with the pragmatic insights and techniques contained in this unique resource.

Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals.

This book gathers selected research articles presented in the "e;6th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC)"e;, held at JECRC University, Jaipur, during August 3-5, 2023.

In this book, ring-theoretical properties of skew Laurent series rings A((x; f)) over a ring A, where A is an associative ring with non-zero identity element are described.

This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity.

This English version of the clear, rigorous and complete Italian textbook of Mathematical Analysis reflects a two-decade teaching practice.

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book.

What sets Numerical Methods and Analysis with Mathematical Modelling apart are the modelling aspects utilizing numerical analysis (methods) to obtain solutions.

This book includes a collection of extended papers based on presentations given during the SIMHYDRO 2021 conference, held in Sophia Antipolis in June 2021 with the support of French Hydrotechnic Society (SHF).

'The authors give many examples, illustrations and exercises to help students digest the theory and they employ use of clear and neat notation throughout.

It is the first book about a new aspect of Uniform distribution, called Strong Uniformity.

'The book is very well-written by one of the leading figures in the subject.

This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

This monograph contains the author's work of the last four years in discrete and fractional analysis.

This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set.

The main subject of the monograph is the fractional calculus in the discrete version.

This text presents numerical differential equations to graduate (doctoral) students.

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term.

This volume contains recent papers by several specialists in different fields of mathematical analysis.

Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations.

This is a book of a series on interdisciplinary topics on the Mathematical and Biological Sciences.

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

The goal of this book is to present Stochastic Calculus at an introductory level and not at its maximum mathematical detail.