The exact sciences are a subject that we have been interested in developing extensively in our virtual library. Therefore, we are pleased to present a collection of a subtopic that may be of great interest to students, researchers and teachers of mathematics, physics and engineering. These are books on differential equations in PDF format, where you will find the most used principles and methods to solve them.
The resolution of a differential equation consists of a mathematical operation, whose purpose is to find a function that fulfills a differential equation. The resolution can be done through a specific method for that differential equation that is being solved or by means of a transform such as the Laplace transform. All this and much more can be put into practice with the selection of books on differential equations.
A differential equation is a mathematical equation that associates a function with its derivatives. From the point of view of applied mathematics, functions symbolize physical quantities, derivatives symbolize their rate of change, and the equation represents the relationship between the two (functions and derivatives).
Another common definition is an equation affected by the derivatives from one or more unknown functions. Depending on the number of independent variables from which they are derived, differential equations may be:
Ordinary: those containing derivatives of a single independent variable.
Partial: those containing derivatives with respect to two or more independent variables.
Linear: those whose solutions can be obtained from linear combinations of other solutions and whose derivatives have a maximum power equal to 1. In addition, in each coefficient that multiplies them only the variable is involved.
The order of the equation is determined by the order of the highest derivative. Thus, we have first order differential equations, second order, third order and so on.We invite you to practice with more than 15 books on differential equations in PDF format, available for free download in this section of our library.
Here we present our complete selection of Differential Equations books:
#1 Differential Equations I
Extension: PDF | 174 pages
Differential Equations I by University of Toronto presents a foundational treatment of ordinary differential equations, covering first and second-order equations, linear systems, and power series solutions. Its clear explanations and diverse examples make it an excellent resource for students seeking a solid understanding of differential equations.
#2 Ordinary Differential Equations: Basic Concepts
Extension: PDF | 12 pages
Ordinary Differential Equations: Basic Concepts por Tsogtgerel Gantumur introduces fundamental ODE concepts with illustrative examples. A concise guide to understanding ODEs, it's a great starting point for anyone diving into this crucial area of mathematics.
#3 Differential Equations
Extension: PDF | 14 pages
Differential Equations por Ibnu Rafi offers a concise introduction to exact and non-exact differential equations. This PDF provides solutions to exercises, making it a valuable resource for students learning to solve these types of problems.
#4 Exact Solutions to Differential Equations
Extension: PDF | 13 pages
Exact Solutions to Differential Equations by University of Pennsylvania presents fundamental techniques for solving separable and first-order linear differential equations. This concise guide provides a clear pathway for understanding and applying these methods, making it a valuable resource for students and practitioners alike.
#5 Partial Differential Equations
Extension: PDF | 72 pages
Partial Differential Equations por Sergiu Klainerman is a concise introduction to PDEs, offering a functional perspective. Explore fundamental definitions, examples, and relationships with modern physics, making it a valuable resource for understanding this core mathematical topic.
#6 Partial Differential Equations
Extension: PDF | 205 pages
Partial Differential Equations por Erich Miersemann offers a comprehensive introduction to the theory and application of PDEs. This PDF provides valuable lecture notes suitable for undergraduate and graduate students.
#7 Problems and Solutions for Partial Differential Equations
Extension: PDF | 139 pages
Problems and Solutions for Partial Differential Equations por Willi Hans Steeb,Yorick Hardy provides a valuable collection of solved problems covering linear and nonlinear PDEs, enhancing understanding and problem-solving skills. Delve into this PDF to explore practical applications and deepen your knowledge of PDE techniques.
#8 Analytic Solutions of Partial Differential Equations
Extension: PDF | 88 pages
Analytic Solutions of Partial Differential Equations by School of Mathematics University of Leeds offers a valuable overview of analytical methods for solving partial differential equations, relevant in mathematical physics. It provides insights into techniques like characteristics and Green's functions.
#9 Homogeneous Linear Equations – The Big Theorems
Extension: PDF | 14 pages
Homogeneous Linear Equations - The Big Theorems por The University of Alabama in Huntsville explains the theory and application of homogeneous linear differential equations. It covers finding general solutions, fundamental sets, and Wronskians, essential for solving various problems.
#10 Ordinary Differential Equation
Extension: PDF | 133 pages
Ordinary Differential Equation por Alexander Grigorian offers a rigorous introduction to ODEs, covering essential theory and examples. This PDF provides a valuable foundation for understanding and solving differential equations.
#11 Linear Differential Equations
Extension: PDF | 43 pages
Linear Differential Equations by Jerome Dancis presents a concise introduction to solving linear differential equations. It offers valuable insights into operator aspects and practical problem-solving techniques.
#12 First-Order Differential Equations
Extension: PDF | 72 pages
First-Order Differential Equations por University of Hawaii at Manoa is a concise guide to understanding and solving first-order differential equations. Explore fundamental concepts, slope fields, and Picard's Theorem with clarity.
#13 Linear Differential Equations of Second and Higher Order
Extension: PDF | 49 pages
Linear Differential Equations of Second and Higher Order por Engineering Mathematics Single Stop for Learning introduces the theory and methods for solving linear differential equations, a core topic in engineering and physics. This PDF is essential for anyone seeking a solid foundation in solving differential equations.
#14 Applied Differential Equations and Linear Algebra
Extension: PDF | 111 pages
Applied Differential Equations and Linear Algebra por Grant B Gustafson is a valuable resource blending differential equations with linear algebra concepts. It offers a comprehensive exploration of modeling techniques and analytical methods, essential for science and engineering students.
#15 Exact Differential Equations (Article)
Extension: PDF | 7 pages
Exact Differential Equations (Article) por Cengage. This PDF explains how to solve exact differential equations and determining if a differential equation is exact. This article presents relevant theorems, examples and exercises that can improve your understanding of differential equations.
#16 Exact Differential Equations (Article)
Extension: PDF | 4 pages
Exact Differential Equations (Article) por Texas A and M University Engineering Building offers a concise introduction to solving exact differential equations. It presents the necessary conditions, solution methods, and illustrative examples, making it a valuable resource for students and practitioners.
#17 Higher Order Linear Differential Equations (Presentation)
Extension: PDF | 25 pages
Higher Order Linear Differential Equations (Presentation) por Penn Math University of Pennsylvania explains how to solve higher-order linear differential equations with constant coefficients, covering homogeneous and non-homogeneous cases. This presentation is a valuable resource for understanding fundamental concepts and techniques in differential...
#18 Higher-Order Differential Equations Part 1 (Presentation)
Extension: PDF | 53 pages
Higher-Order Differential Equations Part 1 (Presentation) por Personal Web Space National Taiwan University Computer and Information Network Center presents a comprehensive introduction to solving linear higher-order differential equations. It covers initial/boundary value problems and methods for homogeneous and non-homogeneous equations, providin...
#19 Exact Equations (Presentation)
Extension: PDF | 9 pages
Exact Equations (Presentation) por Mathematics Michigan State University explains exact differential equations, the Poincaré Lemma, and integrating factors. It offers a concise overview with examples, making it a valuable resource for understanding this important topic.
Here ends our selection of free Differential Equations books in PDF format. We hope you liked it and already have your next book!
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