Ordinary differential equations books, also called elementary differential equations books show models for single dimensions. Applied partial differential equations books show mathematical models for multi-dimensions. A partial differential equation has functions and partial derivatives. It is much more difficult to solve than ordinary differential equations. Partial differential equations were first explored during the 18th century by examining vibrations of a string or how heat conducts through solids.
Here are the top ten best-selling books on partial differential equations, in reverse order, with the best shown last:
#10 Best Seller Linear Partial Differential Equations for Scientists and Engineers
This partial differential equations hardcover (4th edition) is introductory theory and basic application of linear partial differential equations using examples from optical research, plasmas, chemistry, biology, and gas and fluid dynamics. It covers all the essential information necessary to apply partial differential equations to a variety of problems.
#9 Best Seller A First Course in Partial Differential Equations: with Complex Variables and Transform Methods
This book is best described as partial differential equations, an introduction. It is good for graduate students as well as undergraduate students because it covers the general properties and explains the basic theory of complex variables. The concepts covered include elliptic equations, wave equations, parabolic equations, Fourier calculations, variable separations, problems with are not homogenous and the analytical functions related to complex variables.
#8 Best Seller Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
Scientists, engineers, and advanced mathematics students will appreciate this book, which covers how to physically interpret mathematical calculations using applied mathematics in combination with partial differential equations. Topics covered include orthogonal function, boundary value, Green’s function, Fourier and transformation method.
#7 Best Seller Basic Partial Differential Equations
This book is appropriate for students who have already studied calculus for three semesters. It includes examples from string vibration, wave theory, conduction of heat, round and square drums, spheres, traffic flow, population density, fluid dynamics, manifolds, electrostatic discharge, gravity, and quantum physics.
#6 Best Seller Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
This book assumes the student has taken undergraduate calculus, understands ordinary differential equations, and knows algebra. It is the first year course in partial differential equations for students in science, engineering, or advanced mathematics. It includes exercises of varying complexity, information about theory and proofs, and extra material for in-depth investigation.
#5 Best Seller Partial Differential Equations: An Introduction
This partial differential equations books free download has a seven-day trial. It is the second edition. It focuses on wave theory, heat conduction, and the equations of Lapace. It is designed for beginners, who are in the last two years of undergraduate study or taking the first year of graduate study in engineering, science and math. The goal is to give the student a broad perspective of the application of partial differential equations in various fields of study.
#4 Best Seller Introduction to Partial Differential Equations with Applications
This book was used at Purdue University for five years as the introduction to partial differential equations. It starts with a review of the principles of calculus involved, and ordinary differential equations, then continues with increasing complexity to study integral curves, vector field surfaces, first order linear and quasi-linear equations, Cauchy Kovalevsky theorem, solutions for series problems, Laplace calculations, wave theory, and heat theory. It finishes with hyperbolic system theory.
#3 Best Seller Partial Differential Equations (Applied Mathematical Sciences)
This is an introductory book on the subject (4th edition) which has been updated to include an example of Lewy’s linear equation without solutions.
#2 Best Seller Partial Differential Equations: Second Edition
Considered the definitive book on partial differential equations, this book includes a review of all the modern techniques and theories of partial differential equations, especially nonlinear equations and nonlinear wave equations. It is a text suitable for graduate-level study. This is the second edition which has been improved with more exercises and a comprehensive bibliography.
#1 Best Seller – The Champion! Partial Differential Equations for Scientists and Engineers
This is a partial differential equations paperback. It is in the category of partial differential equations books pdf for Kindle as well. This book explores the physical characteristics of the world where partial differential equations have applications such as in electricity, magnets, mechanical systems, fluid flow, optical applications, and heat transfer. The text shows practical examples of how to create partial differential equations to solve real-world problems. This book is for graduate and advanced undergraduate students, as well as professional engineers.