Cet ouvrage, où sont exposés les principaux théorèmes et définitions sur le calcul différentiel, s'adresse principalement aux étudiants en licence de mathématiques. Il aborde de manière détaillée les thèmes suivants : le théorème de la moyenne et de ses conséquences, les diverses formules de Taylor, l'étude des extrema simples et liés (multiplicateurs de Lagrange), les théorèmes d'inversion locale, des fonctions implicites et du rang constant. Le dernier chapitre est consacré aux théorèmes classiques d'existence des solutions d'équations différentielles, ainsi qu'à une introduction aux flots des champs de vecteurs. Les étudiants en maîtrise, CAPES et agrégation de mathématiques seront intéressés par le chapitre sur les sous-variétés de Rn. Elles font l'objet d'un traitement autonome dans lequel est abordée la géométrie des surfaces, notamment l'étude de leur courbure. Le cours est complété par une série d'exemples et d'exercices (79) tous corrigés, et de problèmes, tirés de sujets d'examens, dont certains sont résolus.
Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, co-products, subsets, limits, and co-limits. With its right balance between rigor and simplicity, diffeology can be a good framework for many problems that appear in various areas of physics. Actually, the book lays the foundations of the main fields of differential geometry used in theoretical physics: differentiability, Cartan differential calculus, homology and cohomology, diffeological groups, fiber bundles, and connections. The book ends with an open program on symplectic diffeology, a rich field of application of the theory. Many exercises with solutions make this book appropriate for learning the subject.
Less restrictive product market policies are crucial in promoting convergence to higher levels of GDP per capita. This paper benchmarks product market policies in Romania to those of OECD countries by estimating OECD indicators of Product Market Regulation (PMR). The PMR indicators allow a comprehensive mapping of policies affecting competition in product markets. Comparison with OECD countries reveals that Romania's product market policies are less restrictive of competition than most direct comparators from the region and not far from the OECD average. Nonetheless, this achievement should be interpreted in light of the fact that PMR approach measures officially adopted policies. It does not capture implementation and enforcement, the area where future reform efforts should be directed if less restrictive policies are to have an effective impact on long-term growth prospects.
"Ellison "Tarzan" Brown was one of America's premier marathon runners during the 1930s and 1940s. This volume tells the story of his life from the beginning of his career in the early 1930s through his untimely death in 1975. The reminiscences of his friends, family and his rivals paint a picture of the man and his career"--Provided by publisher.
Paul Sentes is home from the hospital, recuperating from being shot three times, while he was on a cross in his front yard. He looks forward to a quiet existence but the Unholy Four have other ideas. Previously, they had burned his cross and now they have abducted Paul to perform a demonic ritual with deadly intent. Narrowly escaping with his life, Paul travels to Spain with Bronson to visit a monk, Brother Gregoria. While there, they participate in a march, protesting abortion, when a sniper opens fire on the crowd and a bullet cuts his visit short. Back in the states, Paul looks forward to visiting with people who had camped out on his lawn, and becomes involved in rescuing a young girl from a voodoo cult, a physical confrontation with a Native American and a psychic battle with a shaman.
Less restrictive product market policies are crucial in promoting convergence to higher levels of GDP per capita. This paper benchmarks product market policies in Bulgaria to those of OECD countries by estimating OECD indicators of Product Market Regulation (PMR). The PMR indicators allow a comprehensive mapping of policies affecting competition in product markets. Comparison with OECD countries reveals that Bulgaria has made substantial progress towards less restrictive product market policies but also emphasizes a number of areas where further reform is needed. These include adoption of a regulatory process based on incentive-based rather than command-and-control approach, reduction of state interference in the decision of state-owned enterprises, further streamlining of business licensing procedures, and improvement in the communication of rules and procedures to affected parties.
LA STRUCTURE D'ESPACE DIFFERENTIEL INTRODUITE EN 1981 PAR J.M. SOURIAU EST UNE EXTENSION DE LA CATEGORIE DES VARIETES, LA SOUS-CATEGORIE DES GROUPES DIFFERENTIELS ETEND DE FACON NATURELLE CELLE DES GROUPES DE LIE. ON DEFINIT, POUR LES ESPACES HOMOGENES LES REVETEMENTS ET LE GROUPE FONDAMENTAL. LA CONSTRUCTION NE DEPEND QUE DE LA STRUCTURE DIFFERENTIELLE ET NON PAS DU CHOIX D'UN GROUPE. CE FORMALISME S'APPLIQUE AUSSI BIEN AUX VARIETES CONNEXES QU'A DES GROUPES DE DIMENSION INFINIE OU A DES QUOTIENTS QUELCONQUES DE GROUPE DE LIE. ON CALCULE LE REVETEMENT UNIVERSEL DE DIFF (R**(N)) ET CELUI D'AUTRES GROUPES DE DIFFEOMORPHISMES. ON DONNE UNE CLASSIFICATION DES TORES DE DENJOY-POINCARE DE DIMENSION UN
Written by men who flew the missions and gathered together the recollections of their comrades, this is an account of the political, social, cultural, technical and combat context of an extraordinary side of the Vietnam conflict. An account touching on topics ranging from Thai supernaturalism to high tech warfare, it is also the very human story of American airmen obliged to keep heady secrets and perform demanding tasks under menacing conditions. A good read for aviation enthusiasts, students of the Vietnam War, veterans and those wishing to learn more about Southeast Asia, this book is more than a history. It is a holistic portrait of a little known and less understood aspect of the Vietnam "era."
Advances in Protozoa Research and Treatment: 2011 Edition is a ScholarlyBrief™ that delivers timely, authoritative, comprehensive, and specialized information about Protozoa in a concise format. The editors have built Advances in Protozoa Research and Treatment: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Protozoa in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Advances in Protozoa Research and Treatment: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
In Tracking the Audience: The Ratings Industry From Analog to Digital, author Karen Buzzard examines the key economic, political, and competitive factors that have influenced ratings methods dominant in each of the markets for radio, TV, and the Internet, tracing the practice¹s history from its early beginnings up to its most recent advances. Beginning with the birth of the industry in 1929, Tracking the Audience traces the establishment of a standardized ratings "currency" as it evolved to meet the needs of the analog broadcast system, and explores the search for new gold standards necessitated by the devastating effects of the digital revolution. Buzzard examines key challenges to the est...