Differential calculus and equations Books

This new volume provides the information needed to understand the simplex method, the revised simplex method, dual simplex method, and more for solving linear programming problems.Following a logical...

Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to...

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to...

With the collapse of Demographic Transition Theory, new theories of population must not just be explanations, but should be falsifiable theories which can compute the number of occurrences of...

This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises,...

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces...

This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends...

This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were...

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

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth EditionPraise for the...

"In my opinion, this is quite simply the best book of its kind that I have seen thus far." —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth EditionPraise for the...

This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and...

Discovering Dynamical Systems Through Experiment and Inquiry differs from most texts on dynamical systems by blending the use of computer simulations with inquiry-based learning (IBL). IBL is an...

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...

Reading Randomness I: New Horizons for Understanding Fractal and Fractional Calculus shows readers how to understand and analyze seemingly “noisy” and irregular data. It offers practical methods for...

Almost Periodic Functions and Integro-Differential-Difference Equations in Locally Convex Spaces provides a concise yet thorough exploration of almost periodic functions in locally convex spaces and...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This book is designed as an introduction to neural dynamics through an intuitive exploration of fundamental "dynamic motifs"— the recurring dynamical concepts essential for understanding...

This monograph provides a comprehensive mathematical framework for modeling heavy metal transport in soil. Drawing on advection-diffusion equations, exponential decay models, and advanced numerical...

Readers may question why non-Newtonian calculus should be used when Newtonian calculus is already available and many scientists are familiar with it. Alpha Calculus attempts to answer this question...

Kirchhoff Equations: A Variational Approach is primarily focused on recent results concerning existence, multiplicity and the asymptotic behaviour of solutions to some stationary Kirchhoff problems,...

Representation Theory and C*-algebras is devoted to the representation theory of solvable Lie groups and the associated non-commutative harmonic analysis including the study of C*-algebras. It...

This book is written to innovate the standard course and to modernize it. There has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the...

The book explores the theory and applications of fractional differential equations with variable order. It delves into the mathematical foundations, including notations, definitions, and key...

Darboux Transformation of Nonlinear Schrödinger Equations: A Guide and a Tutorial is an easy to follow guide for the application of the Darboux transformation (DT) to the nonlinear Schrödinger...

This book presents the main tools for investigations of the existence and uniqueness, as well as the existence, of multiple solutions for initial—and boundary—value problems for fuzzy impulsive...

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

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

This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable for undergraduate students and instructors alike. Students will gain a...

Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern...

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation...

Entropies and Fractionality: Entropy Functionals, Small Deviations and Related Integral Equations starts with a systematization and calculation of various entropies (Shannon, Rényi, and some others)...

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical...

A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems...

This book is a comprehensive and time-tested guide to the mathematical theory of Fourier series and boundary value problems, with a strong emphasis on engineering applications. Over the past two...

This book details the fundamental principles and applications of electromagnetics. It discusses their theoretical aspects as well as practical applications to provide a comprehensive overview and...

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in...

This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable for undergraduate students and instructors alike. Students will gain a...

This book presents an opportunity to learn difference and differential equations through a modeling-first approach. The text is meant as an introduction to those equations and not as a text only for...

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems involved in numerous mathematical models in physics, engineering, and finance can be approached in a...

Modelling Order and Disorder: Integro–Differential Nonlinear Equations provides an overview of a general mathematical structure: integro-differential nonlinear equations. This mathematical structure...

Inverse Engineering Handbook, Second Edition, is a comprehensive resource that details methods of determining a “cause” from an observed “effect,” allowing readers to understand, implement, and...

Differential and Difference Equations in Mathematical Biology introduces graduate and senior undergraduate students to differential and difference equations as tools for modeling biological phenomena...

Differential and Difference Equations in Mathematical Biology introduces graduate and senior undergraduate students to differential and difference equations as tools for modeling biological phenomena...

Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations. The basic methodology of the book is centred on...

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The most prominent application/conclusion of this theory is the...

An Introduction to Integral Transforms is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users...

Mathematics plays a central role in modern culture, and a basic understanding of the nature of mathematics is required for scientific literacy. This new textbook will prepare readers to continue to...