The present work contains a number of prosopographic and statistical studies regarding the elite of the Romanian national movement in Transylvania between 1861 and 1918, chronologically ordered in the form of chapters and accompanied by a high number of tables and graphs. The interested reader should find the entire composition of the Romanian national movement’s leadership, minimal biographical data about the members of the elite (year of birth, denomination, place of residence, profession and so on), as well as the analysis of some statistical indicators meant to illustrate its evolution. This book was not intended to be a history of the Romanian political elite in Transylvania and Hungary, nor a substitute for the lack of such a history. Its content is rather technical, being conceived firstly for historians, mainly for those outside Romania, whose access to the multitude of local biographical sources is limited. It can be viewed as a commented catalogue of part of the elite.
Focusing on Trigonometry reveals a wealth of alternate approaches to solving intricate geometry problems while providing foundational support in other areas of mathematics such as Fourier Analysis and Differential Equations. It is time for Trigonometry to receive the attention it deserves in this stand-alone book where the theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises and the subsequent chapters offer a collection of carefully selected introductory through advanced problems and solutions intended to enhance the problem-solving skills of the reader. This book is not only for those studying for mathematics Olympiads but all individuals who want a better understanding of Trigonometry so they will be more successful in different settings such as a calculus course. This book offers a comprehensive overview of the trigonometric functions and contains a collection of 115 carefully selected introductory and advanced problems in Trigonometry from world-wide renowned Olympiads and mathematical magazines, as well as original problems designed by the authors. Together with the beautiful examples and the creative solutions, the present text is a valuable resource and teaching material for anybody who wants to explore the beauty of Trigonometry.
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