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The book I used in college, and still use when needed, is A First Course in Differential Equations, by Dennis Zill. It's very clearly written with tons of problems and examples.
The book Mathematics From the Birth of Numbers, by Jan Gullberg, is a cool book in general and also has a short and sweet introduction to ordinary differential equations (ODEs) at the end. He derives the general theories of ODEs pretty much entirely through the use of applications.
Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, which is a must-own book for mathematicians and scientists anyways, also has a rather short, but surprisingly detailed section on ODEs toward the end. I wouldn't recommend this for a novice, but it's a great reference to have once you've become familiar with differential equations.
Mathematical Methods in the Physical Sciences, by Mary Boas, is a classic text covering many topics, including ODEs and PDEs (partial differential equations). I'd get this book simply for the immense amount of very useful topics it introduces in all the fields of mathematics, including the calculus of variations, tensor analysis, and functional analysis.
Eventually, you'll need or want to learn about PDEs, and the most intuitive and comprehensible book I've seen regarding them is Partial Differential Equations for Scientists and Engineers, by Stanley Farlow. It's almost (if such a thing can be said about a rigorous math book) entertaining.
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How do you write a differential equation?
You take algebra, and trigonometry, and calculus, and then differential equations, and then you just do it. Until you've taken those classes, no explanation I could give would do you much good; after you've taken them, you won't need it.
Is it true that if you are good at math you will fail physics?
No, not true. However, you will find it very hard to excel in physics if you are a poor in algebra, calculus, vector calculus and differential equations.
What subjects are needed to become an electrician?
If you are in High School I suggest Calculus as a must. If you can take differential equations and trigonometry that would be great. Also physics, chemistry and a good English course are recommended.
CAn someone help me with my radical equations?
There are several good websites to find help with radical equations. You tube has several good videos on radical equations that are free of charge.
What do you study to become an avionics engineer?
You will need a strong background in the following areas.communication (written and oral)higher level maths (calculus I, II, III, differential equations etc.)chemistryphysicscomputer literacydevelopment of good critical thinking skillsinterpersonal skills
Is physics hard if you are good at basic algebra?
Eh.... it really depends on how well you can handle word problems actually. Think of most physics problems as the word problems in algebra you have tried. The math should be okay for you to handle, as long as all the equations you will learn are in discrete form rather than differential form, which requires calculus. But really, being good at math is definitely a hand up in learning physics, if not a requirement. Whenever you've heard the term "mechanics" associated with some level of physics, they are referring to the mathematics. Everything is explained using equations and then interpreting those equations based on the problem you are trying to solve. Eventually, if you stick in long enough, everything boils down to differential equations and must be solved using calculus. But EVEN THEN, alegrba is paramount in reducing equations and solving for unknown variables. I think you'll do just fine. Just imagine how the students are going to feel that hate math lol
Does being good at math literally help you in chemistry?
No, it doesn't help you 'literally' but it is convenient because chemistry uses a lot of calculation: generally 'solving equations' most commonly + - : x log less commonly exp 'square root' integral/differential etc.
What is a good paying job involving math?
Being a contractor or a builder. It makes a lot of money and involves math, and you also get some exercise. This job involves math. Other jobs are: Pharmacy ( elementary calculus) Architecture (nothing beyond trig is required ) Accounting ( business calculus, applied linear algebra and beginning computer programming) Physics ( vector calculus and differential equations) Medicine ( not so much, enough calculus for physics and statistics) Engineering (calculus, differential equations, vector calculus) Physical chemistry Aviation (spherical trig )
What is a good guitar to start off learning bass with?
Look for a short-scale bass, which has a shorter neck, which is easier for novices or those with small hands.
Why are CNA books considered good?
CNA books are considered good because the books are by good authors that write quality books. CNA sells the best business books, the top cook books and books fit for kids.
What science is needed to become an engineer?
For most engineering specialties a student must have a solid foundation in the following.Higher level maths (algebra, trigonometry, calculus, differential equations, etc)ChemistryPhysicsEconomicsComputer literacyStrong communication skills (written and oral)Development of good critical thinking skillsSocial science and humanities
How mathematics is related to electricity?
Electrical engineering uses many branches of mathematics including complex numbers, matrices and linear equations. To study machines needs dynamics and thermodynamics. Radio systems use the theory of electromagnetics that uses vector algebra and optionally tensor algebra. Many branches of electrical engineering use the theory of differential equations and functions of a complex variable. So if you are good at mathematics electricity gives plenty of scope.
