The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variationa…
This book provides a chronological introduction to the science of motion and rest based on the reading and analysis of significant portions of Galileo’s Dialogues Concerning Two New Sciences, Pascal’s Treatise on the Equilibrium of Fluids and the Weight of the Mass of Air, Newton’s Mathematical Principles of Natural Philosophy, and Einstein’s Relativity. Each chapter begins with a sh…
This book describes in full the major approaches used to evaluate investment in real estate and shows how theory informs decision-aid methods and tools to support such evaluation. The inclusion of numerous examples makes it also a practical guide to assessing the suitability of an investment property. The first part of the text is devoted to an analysis of the housing market through the stud…
This book provides a chronological introduction to the sciences of astronomy and cosmology based on the reading and analysis of significant selections from classic texts, such as Ptolemy’s The Almagest, Kepler’s Epitome of Copernican Astronomy, Shapley’s Galaxies and Lemaître’s The Primeval Atom. Each chapter begins with a short introduction followed by a reading selection. Carefull…
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering …
Sets out a simple month-by-month program to reveal all of the night sky's biggest and most beautiful secrets in just one year – and with only a few hours of stargazing each month By investing just an hour a week and $50 in binoculars, it’s possible to learn a few simple techniques and quickly gain a real insight into the night sky's ever-changing patterns – and what they tell us about E…
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. T…
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a “Problems…
Sebastian Hartmann aims at answering the question whether socioeconomic policies implemented by governments are generally rather similar or whether their content actually varies with the ideological background of governments. In addition, he wants to find out whether government characteristics such as coalition or minority situations impact the degree of partisan policy-making. The author emplo…
This book presents a long-term study in genetic isolates of indigenous small ethnics of Dagestan, located in the North-East part of Caucasus in Russia. Dagestan is characterized by extreme cultural and linguistic differences in a small geographic area and contains 26 indigenous ethnic groups. According to archeological data these indigenous highland ethnics have been living in the same area for…