Best Differential Equations books for applied mathematicians, physicists, and engineers
A differential equation is a mathematical equation which relates a function with one or more of its derivatives and that functions will satisfy the equations. During reading these book you will realize that math is really a fun when the core of the concepts is clear.
Here you will get some books about Differential Equations.
A First Course in Differential Equations with Modeling Applications is a great book for you to understand when to use certain concepts, equations, and tables. This is a very good introductory text into thermodynamics for undergraduate students. It contains lots of example problems in the text, a good mixture of sample problems and a good explanation of the topics to reinforce your understanding of the material.
It covers all topics to help you to prepare for the upcoming tests
- Introduction to differential equations
- First-order differential equations
- Modeling with first-order differential equations
- Higher-order differential equations
- Modeling with higher-order differential equations
- Series solutions of linear equations
- The Laplace transform
- Systems of linear first-order differential equations
- Numerical solutions of ordinary differential equations.
Ordinary Differential Equations are recommended to anyone interested in learning deeper about differential equations, especially, engineering students. It gives you a plenty of examples and many end-of-chapter exercises which will help you to learn differential equations.
What you'll learn
- Why we use differential equations and how
- The theorem of existence and uniqueness
- The basic concepts of mathematical analysis needed to prove the theorem
- A complete and accurate proof of every logic.
- The relationship between variables and their derivatives.
Some important topics are
- Integrating factors
- Dilution and accretion problems
- The algebra of complex numbers
- The linearization of first-order systems
- Laplace Transforms
- Newton's Interpolation Formulas
- Picard's Method of Successive Approximations
- the Legendre Differential Equation
- Legendre Functions
- Legendre Polynomials
- The Bessel Differential Equation
This guide provides everything that you need to build confidence, skills, and knowledge for the highest score possible. This book is also a great book for your GRE preparation. it provides you a different explanation about the method of solving the differential equation to reinforce the different methods of solving the differential equations.
Schaum's Outline of Differential Equations provides
- 563 fully solved problems
- Examples, and practice exercises to sharpen your problem-solving skills
- 30 detailed videos featuring Math instructors
- A concise explanation of all course concepts
- Covers first-order, second-order, and nth-order equations.
This is for quick study. You can learn second-order nonhomogeneous linear differential equations, the method of undetermined coefficients, the variation of parameters
series solutions of linear equations, Laplace transform, numerical methods for solving DEQs, partial DEQs at a glance.
- Review of the indefinite integral
- Review of integration
- Basic definitions
- Classifying DEQs
- Initial-value problems
- Separable DEQs
- Exact equations
- Solving a first-order linear equations
- First-Order homogeneous equations
- Bernoulli equations
- Applications of the first-order DEQs
- Higher order linear DEQs
- Reduction of order
- Second-order homogeneous linear equations with constant coefficients
- Higher-order homogeneous linear equations with constant coefficients.
This book gives you
- Differential equations in context with the physics
- Sufficient number of exercises and examples
- Solutions to all of the exercises
- Simple and practical physics problems
- The calculus used to solve problems
- Real applications in "Physics 101".
This is a very efficient book for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations. By reading this book you will be able to know first-order equations, trigonometric series, PDEs in rectangular, polar, and spherical systems and associated eigenfunction expansions, Sturm-Liouville theory, the Fourier transform, Laplace/Hankel transforms for PDEs, grid-type numerical methods, sampling & discrete Fourier analysis, quantum mechanics and much more.
This book provides you
- A great transition from solving ordinary differential equations to solving partial differential equations
- Relevant derivations of core functions and equations like Bessel, Lagrange polynomials etc
- Clear explanation of Griffiths text
- Lots of tedious math writing out long series expansions
- Boundary value problems, including Fourier series
- An introduction to the partial differential equation.
- Mathematics in a step-by-step fashion together with a wealth of worked examples
- Learning outcomes
- Many practical do’s and don’ts
- Popular Fanuc control systems
- Numerous examples and sample programs are used.
Some important topics are
- A survey of first-order equations
- Discussions of complex-valued solutions
- Linear differential operators
- Inverse operators
- variation of parameters method
- Laplace transforms and Picard's existence theorem
- Various interpretations of systems of equations.
- Introduction to partial differential equations.
- The wave equations in two or three dimensions free
- The finite Fourier transform sine and cosine
- Elliptic type problems
- Diffusion type problems
- Hyperbolic type problems
- Numerical and approximate methods and much more.
Differential Equations for Dummies is a perfect companion for science and engineering students which offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
It consists of four parts. These are
Part I: Focusing on first-order differential equations.
- Welcome to the world of differential equations
- Looking at linear first order differential equations
- Sorting out separable first order differential equations
- Exploring exact first-order differential equations and Euler's method.
Part II: Surveying second and higher order differential equations.
- Examining second order linear homogeneous differential equations
- Studying second order linear nonhomogeneous differential equations
- Handling higher order linear homogeneous differential equations
- Taking on higher order linear nonhomogeneous differential equations.
Part III: The power stuff: advanced techniques
- Getting serious with power series and ordinary points
- Powering through singular points.
- Working with Laplace transforms
- Tackling systems of first order linear differential equations
- Discovering three fail-proof numerical methods.
Part IV: The part of tens.
- Ten super-helpful online differential equation tutorials
- Ten really cool online differential equation solving tools.