Differential calculus and equations

Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics.

In the five previous editions of Advanced Engineering Mathematics with MATLAB(R), the author presented a text firmly grounded in mathematics that engineers and scientists must understand and know how to use.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

Discover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world.

The book concerns with solving about 650 ordinary and partial differential equations.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems.

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders.

After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups.

In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators.

This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems.

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.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.

This book has a two-fold purpose:An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).

This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric.

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.

The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering.

Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death.

This book is an introduction to methods for solving partial differential equations (PDEs).

Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering sytems, e.

Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering.

Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering.

In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data.

Differential equations require a good understanding of derivatives so you can understand how they work.

Stable solutions are ubiquitous in differential equations.

The main result of this book is a proof of the contradictory nature of the NavierStokes problem (NSP).

This text provides an introduction to the applications and implementations of partial differential equations.

A differential equations study guide contains all of the formulas students taking calculus or a differential equations class would need to complete specific problems, so students in these classes can use it as a reference when completing homework or studying for an exam.

Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study.

The first two editions of An Introduction to Partial Differential Equations with MATLAB(R) gained popularity among instructors and students at various universities throughout the world.

The Boolean Differential Calculus (BDC) is a very powerful theory that extends the basic concepts of Boolean Algebras significantly.

It is well known that the Navier-Stokes equations are one of the pillars of fluid mechanics.

This book presents a projector analysis of dynamic systems on time scales.

This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems.

This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics.

Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra.

In the first edition of his seminal introduction to wavelets, James S.

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales.

In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications.

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems.

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved.

Extending and generalizing the results of rational equations,Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces.

This textbook provides a broad introduction to continuous and discrete dynamical systems.