00000cmm a22000004i 4500 UP-99796217611212133 Buklod 20230215085534.0 m go j cr |nu|||auu|a 140424s xx d u 9781447121312 (eBook) 1447121317(eBook) (iLib)UPD-00214608303 DML eng DMLUC QA107.2 H56 2011eb Hindry, Marc. Arithmetics [electronic resource] by Marc Hindry. London Springer London 2011. 1 online resource (xviii, 321 p.) Universitext Includes bibliographical references and index. Finite Structures -- Applications: Algorithms, Primality and Factorization, Codes -- Algebra and Diophantine Equations -- Analytic Number Theory -- Elliptic Curves -- Developments and Open Problems. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled "Developments and Open Problems", which introduces and brings together various themes oriented toward ongoing mathematical research. Electronic books. Arithmetic. Arithmetic Problems, exercises, etc. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-1-4471-2131-2 FO Monograph UPD DMLR Electronic Resource