Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts. Emphasis is placed on the Boundary Value Problems that are often met in these fields.
This keeps the the spectrum of the book rather focussed. Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems.
Relevant references are included at the end of each chapter. The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement.
There are also some exercises left to students as homework assignments in the book. An outstanding feature of the book is the large number and variety of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. The features and the content of this book will be most useful to the students studying in Engineering fields, at different levels of their education upper undergraduate-graduate.
It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians.
This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques.
With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion.
Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level.
Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Numerous examples from physics, technology, biomathematics, cosmology, economy and optimization allow a quick and motivating approach - abstract proofs and unnecessary formalism are avoided as far as possible.
In the foreground is the modelling of ordinary differential equations of the 1st and 2nd order as well as their analytical and numerical solution methods, in which the theory is briefly dealt with before the application examples.
In addition, codes show exemplarily how even more demanding questions can be answered and meaningfully represented with the help of a computer algebra system. In the first chapter the necessary previous knowledge from integral and differential calculus is treated. A large number of exercises including solutions round off the work.
The audience consisted of academics from New York University and other universities, as well as practitioners from investment banks, hedge funds and asset-management firms. The contributions to the 12th of FLINS conference cover state-of-the-art research, development, and technology for computational intelligence systems, both from the foundations and the applications points-of-view.
The emphasis in this book is on theory and methods and differential equations as a part of analysis. Differential equations is worth studying, rather than merely some recipes to be used in physical science.
The text gives substantial emphasis to methods which are generally presented first with theoretical considerations following.
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