Indian Castles 1206-1526: The Rise and Fall of the Delhi Sultanate

From the beginning of the 11th century onwards, the constant sate of war amongst the various Indian kingdoms left them open to outside attack, and Muslim Turkic tribesmen began to pour over the north-west border from modern-day Afghanistan. These raiders consolidated their successes and by 1206 a Muslim state, the Sultanate of Delhi, had been founded, which then extended its direct rule or influence over most of the subcontinent. 

Linear Algebra Problem Book

Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how to teach and learn mathematics by ‘doing’ mathematics.

Medieval Russian Fortresses AD 862-1480

Using archaeological evidence and first-hand sources, Konstantin Nossov charts the history of the medieval Russian fortress from its early beginnings until the 14th century.According to Russian legend, in AD 862, the Slav tribes of what is now European Russia invited a number of Scandinavian princes to rule over them. In AD 882, Prince Oleg united these kingdoms as the feudal state of Kievan Rus, by building a series of settlement and border fortifications, including the Zmievy Valy (Snake Ramparts), to protect against foreign invasion. 

Winning Solutions

This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to "fill in" the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.

Smarandache Near-rings

Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S.
These types of structures occur in our everyday life, that’s why we study them in this book.