What are good books on differential equations for novices?
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.
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…
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…
All the time. Mostly calculus or differential equations. In most of the questions I'm given, I know an initial condition or a boundary condition, or both. If you don't know or haven't learned yet, an initial condition is a property given to something at a certain time, and a boundary condition is a property given to a certain location. A good example is heat transfer, where I may know the surface temperature at time t=0…
The "good books" is a fictional book with the names of good people written in it. If you're in someone's good books, they're happy with you or impressed with you. If you're not in those books, they're unhappy with you. You've been dropped from the good books, so you've done something that's not good.
Just tell her!! whatever you do to try to hide it will just make her angrier when she finds out and you'll lose her trust. also, use this as an opportunity to ask for help if you need it: "mom, the reason i bombed this test is cuz i just don't get differential equations. do you think i could get a tutor?" good luck!
The foundational courses for any professional degree in engineering will include some of the following. written communication higher level maths to include, calculus I, II, III, and differential equations general chemistry I and II physics economics development of good critical thinking skills computer literacy
For most engineering specialties a student must have a solid foundation in the following. Higher level maths (algebra, trigonometry, calculus, differential equations, etc) Chemistry Physics Economics Computer literacy Strong communication skills (written and oral) Development of good critical thinking skills Social science and humanities
Classical control typically deals with single-input single-output (SISO) systems using frequency domain tools. This means taking the Laplace transform of the equations of motion for the system (typically ordinary differential equations) and designing controllers based on performance specifications at low and high forcing frequencies. Modern control is largely a result of the microprocessor, which allows large amounts of computation to be done cheaply. Modern control often deals with multiple-input multiple-output (MIMO) systems, and deals directly…
First, if you are in college, you should be in an engineering curriculum which will outline the exact requirements. Some basic courses would include the following. Communication (written and oral) Math (calculus I, II, III, differential equations) Chemistry (general chemistry I and II) Physics Economics Computer literacy Development of good critical thinking skills