Differential equations

Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.
310p phuctran399 05112010 64 18 Download

Tham khảo sách 'numerical methods for ordinary differential equations butcher tableau', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả
479p chipmoon 19072012 66 18 Download

This section attempts to answer some of the questions you might formulate when you turn the first page: What does this toolbox do? Can I use it? What problems can I solve?, etc. What Does this Toolbox Do? The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time. The equations are discretized by the Finite Element Method (FEM). The objectives of the PDE Toolbox are to provide you with tools that: • Define a PDE problem, i.e.
284p khinhkha 20072010 72 17 Download

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, with particular emphasis on developing an appreciation of underlying mathematical theory. Beginning with basic deﬁnitions, properties and derivations of some fundamental equations of mathematical physics from basic principles, the book studies ﬁrstorder equat
385p truongnghen 21012013 40 10 Download

Tham khảo sách 'real functions in one variable examples of simple differential equations ii calculus analyse 1c5', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả
116p sn_buon 29112012 20 3 Download

Tham khảo sách 'boundary value problems, sixth edition: and partial differential equations', giáo dục  đào tạo, cao đẳng  đại học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả
515p muathu_102 28012013 22 3 Download

n mathematics, an ordinary differential equation (abbreviated ODE) is an equation containing a function of one independent variable and its derivatives. There are many general forms an ODE can take, and these are classified in practice (see below).[1][2] The derivatives are ordinary because partial derivatives only apply to functions of many independent variables (see Partial differential equation).
0p taurus23 27092012 23 2 Download

Here follows the continuation of a collection of examples from Calculus 4c1, Systems of differential systems. The reader is also referred to Calculus 4b and to Complex Functions. We focus in particular on the linear differential equations of second order of variable coefficients, although the amount of examples is far from exhausting. It should no longer be necessary rigourously to use the ADICmodel, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself....
105p sn_buon 29112012 19 2 Download

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.Asemester 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.
445p bachduong1311 10122012 20 1 Download

Steven Holzner is an awardwinning author of science, math, and technical books. He got his training in differential equations at MIT and at Cornell University, where he got his PhD. He has been on the faculty at both MIT and Cornell University, and has written such bestsellers as Physics For Dummies and Physics Workbook For Dummies.
363p phanchithinh 27102009 126 70 Download

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on RungeKutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding.
479p kennybibo 14072012 41 11 Download

This text is intended to provide an introduction to the standard methods that are used for the solution of firstorder partial differential equations. Some of these ideas are likely to be introduced, probably in a course on mathematical methods during the second year of a degree programme with, perhaps, more detail in a third year. The material has been written to provide a general – but broad – introduction to the relevant ideas, and not as a text closely linked to a specific module or course of study. Indeed, the intention is to present the material so that it can be used as an...
156p sn_buon 29112012 25 3 Download

Tham khảo sách 'examples of applications of the power series method by solution of differential equations with polynomial coefﬁcients calculus 3c4', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả
93p sn_buon 29112012 26 2 Download

Here we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences. The reader is also referred to Calculus 4b as well as to Calculus 4c2. It should no longer be necessary rigourously to use the ADICmodel, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself. Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition. It is my hope that the reader will show some understanding of my situation....
94p sn_buon 29112012 20 1 Download

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods. Indeed, the area is an expanding source for novel and relevant "realworld" mathematics. In this book, the authors describe the modeling of financial derivative products from an applied mathematician's viewpoint, from modeling to analysis to elementary computation.
338p batrinh 16072009 261 176 Download

The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis.
772p chipmoon 19072012 102 35 Download

Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics.
523p chipmoon 19072012 89 30 Download

A differential equation is an ordinary differential equantion if the unknown function depends on only one independent variable. If the unknown function depends on two or moer indenpendent variable, the differential equation is a partial differential equation.
141p tiramisu0908 30102012 45 17 Download

I wrote this text for a one semester course at the sophomorejunior level. Our experience with students taking our junior physics courses is that even if they’ve had the mathematical prerequisites, they usually need more experience using the mathematics to handle it efficiently and to possess usable intuition about the processes involved. If you’ve seen infinite series in a calculus course, you may have no idea that they’re good for anything.
456p camnhung_1 13122012 20 11 Download

This research monograph concerns the design and analysis of discretetime approximations for stochastic differential equations (SDEs) driven by Wiener processes and Poisson processes or Poisson jump measures. In financial and actuarial modeling and other areas of application, such jump diffusions are often used to describe the dynamics of various state variables. In finance these may represent, for instance, asset prices, credit ratings, stock indices, interest rates, exchange rates or commodity prices.
868p namde02 09042013 38 8 Download