Free Download Select Ideas in Partial Differential Equations
English | 2025 | ISBN: 3031599748 | 268 Pages | PDF (True) | 9 MB
This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamental linear partial differential equations of physics. The text continues with methods to understand and solve these equations leading ultimately to the solutions of Maxwell’s equations. The author then addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, inverse scattering transform, and numerical methods for select nonlinear equations. Next, the book presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations. This second edition includes updates, additional examples, and a new chapter on reaction-diffusion equations. Ultimately, this book is an essential resource for readers in applied mathematics, physics, chemistry, biology, and engineering who are interested in learning about the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.

Free Download Integro-Differential Equations: Analysis, Stability and Controllability by Mouffak Benchohra, Abdelkrim Salim, Yong Zhou
English | August 19, 2024 | ISBN: 3111437795 | 296 pages | MOBI | 0.83 Mb
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions.

Free Download Advances in Difference Equations by Azhar Ali Zafar, Nehad Ali Shah, Nehad Ali Shah
English | PDF (True) | 2024 | 194 Pages | ISBN : 3725823596 | 5.3 MB
The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years, non-integer order derivative operators have gained attention, particularly for understanding anomalous behaviors in social and physical sciences. The following Special Issue introduces several important developments, including new partial fractional derivatives, a novel nonlinear delayed integral inequality for studying integro-differential equations, and a neural network approach for solving nonlinear partial differential equations. The existence and uniqueness of solutions for nonlinear differential equations with impulses at variable times are discussed, as well as the oscillatory behavior of nonlinear second-order differential equations. Ultimately, this reprint bridges theory and application, offering novel insights with a focus on differential and difference equations.

Free Download Nonlinear Second Order Elliptic Equations by Mingxin Wang, Peter Y. H. Pang
English | April 27, 2024 | ISBN: 9819986915 | 326 pages | MOBI | 71 Mb
This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and asymptotic behavior of such solutions.

Free Download One Hundred Applications of Maxwell’s Equations
English | 2025 | ISBN: 3031737830 | 294 Pages | PDF EPUB (True) | 36 MB
Maxwell’s equations explain the basics of electricity and magnetism. The four equations provide a mathematical model for electric, optical, and radio technologies. And yet, when learning electromagnetic field theory, it is easy to get lost in the complicated mathematics and ignore the applied aspects of it. The purpose of this book is to bridge the gap between theory and applications of Maxwell’s equations.

Free Download Differential Equations and Data Analysis
English | 2025 | ISBN: 3031622561 | 305 Pages | PDF EPUB (True) | 26 MB
This book is focused on modeling with linear differential equations with constant coefficients. The author starts with the elementary natural growth equation and ends with the heat equation on the real line. The emphasis is on linear algebra, Fourier theory, and specifically data analysis, which is given a very prominent role and is often the book’s main driving force. All aspects of modeling with linear differential equations are illustrated by analyzing real and simulated data in MATLAB®. These modeling case studies are of particular interest to students who anticipate having to use differential equations in their fields. The book is self-contained and is appropriate as a supplement for a first course in differential equations whose prerequisites include proficiency in multivariate calculus and MATLAB literacy.

Free Download Master Equations – Solve, Simplify, Crack CA Foundation Maths

Published: 12/2024
Created by: Muralidharan L
MP4 | Video: h264, 1280×720 | Audio: AAC, 44.1 KHz, 2 Ch
Level: Beginner | Genre: eLearning | Language: English | Duration: 7 Lectures ( 11h 21m ) | Size: 8.65 GB

Free Download Dyson-Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory (Springer Theses) by Paul-Hermann Balduf
English | April 27, 2024 | ISBN: 3031544455 | 379 pages | MOBI | 43 Mb
This book offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory, with a special focus on physical motivation, the role of Dyson-Schwinger equations, and the renormalization group. All necessary physical and mathematical constructions are reviewed and motivated in a self-contained introduction. The main part of the book concerns the interplay between Dyson-Schwinger equations (DSEs) and renormalization conditions. The book is explicit and consistent about whether a statement is true in general or only in particular renormalization schemes or approximations and about the dependence of quantities on regularization parameters or coupling constants. With over 600 references, the original literature is cited whenever possible and the book contains numerous references to other works discussing further details, generalizations, or alternative approaches. There are explicit examples and remarks to make the connection from the scalar fields at hand toQED and QCD. The book is primarily targeted at the mathematically oriented physicist who seeks a systematic conceptual overview of renormalization, Hopf algebra, and DSEs. These may be graduate students entering the field as well as practitioners seeking a self-contained account of the Hopf algebra construction. Conversely, the book also benefits the mathematician who is interested in the physical background of the exciting interplay between Hopf algebra, combinatorics and physics that is renormalization theory today.

Free Download An Introduction to Partial Differential Equations with MATLAB®: Third Edition
by Matthew P. Coleman
English | 2024 | ISBN: 1032639385 | 510 pages | True PDF | 232.46 MB

Free Download Ordinary Differential Equations: Analytical Methods and Applications
by Victor Henner, Alexander Nepomnyashchy
English | 2023 | ISBN: 3031251296 | 618 Pages | True ePUB | 40 MB