دانلود حل المسائل (حل تمرین) و کتاب مقدمه ای بر معادلات دیفرانسیل با سیستم های دینامیکی نوشته استفان ال. کمپبل و ریچارد هابرمن
کتاب معادلات دیفرانسیل در چارت درسی رشته های مهندسی مکانیک، عمران، برق و هوافضا در مقطع کارشناسی قرار دارد.
عنوان های فصول کتاب:
- معادلات دیفرانسیل مرتبه اول و کاربرد آنها
- معادلات دیفرانسیل خطی مرتبه دوم و بالاتر
- تبدیل لاپلاس
- مقدمه ای بر سیستم های خطی معادلات دیفرانسیل و صفحه فاز آنها
- معادلات دیفرانسیل مرتبه اول غیر خطی
- سیستم های غیر خطی معادلات دیفرانسیل در صفحه
مروری برکتاب معادلات دیفرانسیل کمپل
We have attempted to write a concise modern treatment of differential equations
emphasizing applications and containing all the core parts of a course in differential
equations. A semester or quarter course in differential equations is taught to most engineering students (and many science students) at all universities, usually in the second
year. Some universities have an earlier brief introduction to differential equations and
others do not. Some students will have already seen some differential equations in
their science classes. We do not assume any prior exposure to differential equations.
The core of the syllabus consists of Chapters 1 and 2 on linear differential equations.
The use of Laplace transforms to solve differential equations is described in Chapter 3
since many engineering faculty use them. Series solutions of differential equations
used to be part of the course, but the trend is to not do this, and we have decided to
omit series. By doing so, we are communicating that linear and nonlinear systems
are more important in a differential equations course for the future. Our book is also
less expensive without a series.
Most universities do some systems in their differential equations courses. Some do
a little, some do a lot. We have tried to present systems in an elementary introductory
way, so that the beginning student understands the material, and also in a flexible
way, so that universities that only spend two weeks on systems will be satisfied,
and those that spend more will also have options. We also present the phase plane
for linear systems in an elementary way.
Most universities will want to do systems
because present technology makes them very graphically exciting to students and
faculty. Each university will use technology in its own unique way. We do not provide
expensive software because the software would be useful for only a short portion of
the standard differential equations course. Similarly, while the numerical simulation is
important, it is easily done with numerous software packages, so that only a brief
introduction is needed in a first course.
Our book discusses standard topics for differential equations in the standard way,
so that it can easily be adopted by most universities. In addition, we have focused
on the essential areas, so that the text is concise. Our book is unique in the way that
some of the essential topics are discussed, as we now describe. The most important
concept for students in our text is to understand linear differential equations and how
to solve or analyze them in an elementary way. We have attempted to make the entire
book easy for students to read.