الصفحة 24
الصفحة 24
A Field Guide to Algebra
Focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians.
A Dictionary of World History
This wide-ranging dictionary contains a wealth of information on all aspects of history, from prehistory right up to the present day. Accessible, clear, and concise entries include biographies of key figures in world history (living and dead), separate entries for every country in the world (summarising key historical events), and in-depth entries on religious and political movements, international organizations, and major conflicts and events and their after-effects.
A Companion to Contemporary Drawing
Textbook on the power, condition, and expanse of contemporary fine art drawing. his textbook: Demonstrates ways contemporary issues and concerns are addressed through drawing / Reveals how drawing is used to make powerful social and political statements / Situates works by contemporary practitioners within the context of their historical moment / Explores how contemporary art practices utilize drawing as both process and finished artifact / Shows how concepts of observation, representation, and audience have changed dramatically in the digital era / Establishes drawing as a mode of thought
50 Years of EU Economic Dynamics : Integration, Financial Markets and Innovations
On the occasion of the 50th anniversary of the European Union experts present their analyses of historical developments and new economic challenges for the EU. After a reflection on historical dynamics, the contributors point out the dramatic economic shifts between Europe, Asia and the US. Representatives from major central banks (including the ECB), other leading banks, and academia analyze the dynamics of the Eurozone and financial market integration in the context of globalization and economic growth. Furthermore, the authors discuss the challenges of information and communication technologies by means of various country analyses. Moreover, the Schumpeterian prospects for Europe and the Lisbon Agenda, the long-term challenges of EU pension reforms, emission trading systems in the EU, and options for a new EU constitution are highlighted. At the bottom line of this EU analysis are major implications for investors, managers, policy-makers and the public at large in both the EU and the global economy.
