[pdf] Variational, Topological, And Partial Order Methods With Their Applications (developments in Mathematics, Vol. 29)

The goal of this book is to present basic optimization theory and modern computational algorithms in a concise manner. The book is suitable for un­ dergraduate and graduate students in all branches of engineering, operations research, and management information systems. The book should also be use­ ful for practitioners who are interested in learning optimization and using these techniques on their own. Most available books in the field tend to be either too theoretical or present computational algorithms in a cookbook style.

In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments.

In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book.