Matematik for ingeniører

Intelligent Information Systems (IIS) can be defined as the next generation of Information Systems (IS) developed as a result of integration of AI and database (DB) technologies. IIS embody knowledge that allows them to exhibit intelligent behavior, allows them to cooperate with users and other systems in problem solving, discovery, retrieval, and manipulation of data and knowledge. For any IIS to serve its purpose, the information must be available when it is needed. This means that the computing systems used to store data and process the information, and the security controls used to protect it must be functioning correctly. This book covers some of the above topics and it is divided into four sections: Classification, Approximation and Data Security, Knowledge Management, and Application of IIS to medical and music domains.

Lineare Algebra bereitet Studierenden der Ingenieurwissenschaften zunachst gewisse Schwierigkeiten. Diese Einfuhrung vermittelt umfassend und mit vielfaltigen Bezugen zur Technik und Naturwissenschaft die Grundlagen zum Verstandnis einer der wichtigsten mathematischen Methoden fur Ingenieure. Neu aufgenommen wurde ein Abschnitt uber lineare Ausgleichsprobleme.

Perhaps the only full publication to present a unified and straightforward introduction to the design and analysis of automatic control systems for both atmospheric and space flight vehicles, Automatic Control of Atmospheric and Space Flight Vehicles is intended to be a textbook for senior undergraduate and graduate students in aerospace engineering/aeronautics and astronautics departments. Covering basic control theory and design concepts, the material in the book has been specifically developed for a modern course on flight control systems, where the artificial distinction between aircraft, rockets, and spacecraft is removed. A wide variety of flight control topics are presented in a concise and easy-to-read-yet rigorous-manner. The book highlights an understanding of relevant flight dynamic principles required for designing a flight control system, placing specific emphasis on a wealth of realistic examples and exercises that require programming. A particularly appealing feature of the text is the ready and extensive use of MATLAB®/Simulink® codes in the many solved examples illustrating flight control design and analysis; these examples give the reader hands-on experience with practical problems and make the book an even more useful and illuminating tool. For convenience, all the codes used can be downloaded from the author's and publisher's websites. Moreover, selected exercise solutions are provided in the text, and a full solutions manual is available to instructors online.The coverage of flight control topics in the book is fundamental rather than exhaustive, with a greater emphasis on single-variable control for a strong understanding of the relevant concepts. The work may therefore be used for a first course on flight control systems. However, it also covers some advanced topics-such as linear optimal control, nonlinear orbit plane control, and two-point boundaryvalue problem solution for de-orbiting spacecraft-imparting a flavor of the variety found in automatic flight control, and will be of interest to experienced researchers and practitioners in aerospace and control engineering.

This book describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understanding of approaches and solutions.Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques. Literature devoted to analytical methods, however, often focuses on theoretical and mathematical aspects and is therefore useless to most engineers. Analytical Methods for Heat Transfer and Fluid Flow Problems addresses engineers and engineering students.The second edition has been updated, the chapters on non-linear problems and on axial heat conduction problems were extended. And worked out examples were included.

We will occasionally footnote a portion of text with a "e;**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "e;their own"e; by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per- sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.

Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in Chapter 10, and the necessary tools from functional analysis are developed within the course. The book can be used to teach a variety of different courses. This new edition features new problems throughout and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.