The following free book is for everyone who wants to learn about common different equations.
About the book (by the author)
The usefulness of different equations in subjects like physics, biology, chemistry, engineering etc. is well known in scientific work. It is also known that the more reliable the model, the more complex its mathematical formulas will be.
This requires qualitative analysis because quantitative analysis is practically impossible due to the complexity of the different equations involved in the model studied.
In this way, it is possible to make predictions and / or information about the phenomenon in question from the study of such equations.
The study of different equations has influenced the development of other areas of mathematics, for example, topology, analysis, etc.
The preface to the book by Deleki and Kerin explains how the problems of stability of different equations led to the development of the spectral theory of the operator. Referring to the history of functional analysis, Jean Diodo devotes six of the nine paragraphs to the evolution of different equations.
It is not our intention to say that the only important problems in mathematics are provided by these differential equations, we just want to help put an end to the idea that the problems of differential equations are reduced to a long and tedious exercise of integration.
The goal of these theoretical-practical guides is to integrate the basics of qualitative theory of different equations into a one-semester course, so that at the end of the course the student will be in a position to move to the study of local dynamics and / or a set of specific models.
Since the existing literature on differential equations is extensive, it is intended that these guides should be self-contained to avoid scattering.
Each section has a section of exercise and the problems are carefully chosen so that their complexity does not exceed the objectives.
One of these guides and a section of comments and suggestions which serves as a guide for the student for a later more advanced study on differential equations.
Content (subject)
- Primary
- General theory
- Linear system
- Sustainability theory
- Liapunov’s second method
- Introduction to Dynamic Systems
Information sheet
Year: 2000
Editor: University of the Andes
English: Español
Size: 667 KB
License: Pending review
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