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A Classical introduction to modern number theory / par Ireland,, Kenneth. Publication : [S.l.] : Springer, 1990 . 389 p. ; , Bridging the gap between elementary number theory and the systematic study of advanced topics, A CLASSICAL INTRODUCTION TO MODERN NUMBER THEORY is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along with wide-ranging coverage of significant results with comparitively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves. 24 cm. Date : 1990 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

An Introduction to number theory / par Everest, Graham. Publication : [S.l.] : Springer London Ltd, 2007 . 302 p. ; , Relié. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Asymptotic prime divisors par McAdam, S. Publication : [S.l.] Springer 1983 . 118 p. 24 cm. Date : 1983 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Basic analysis of regularized series and products / par Jorgenson,, Jay. Publication : Berlin ; | New York Springer-Verlag, 1993 . 122 pages ; 24 cm. Date : 1993 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Elementary Dirichlet series and modular forms / par Shimura, Gorō, Publication : New York : Springer, 2007 . 1 online resource (viii, 147 pages). Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Essays in constructive mathematics par Edwards, Harold M. Publication : [S.l.] Springer 2004 . 232 p. , Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Frontiers in number theory, physics, and geometry I : on random matrices, zeta functions and dynamical systems / par Cartier,, Pierre Emile. Publication : [S.l.] : Springer, 2005 . 490 p. ; , This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author?s original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Non-unique factorizations : algebraic, combinatorial and analytic theory par Geroldinger, Alfred. Publication : [S.l.] Chapman and Hall/CRC 2006 . 728 p. , From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations: Algebraic, Combinatorial, and Analytic Theory offers a look at the present state of the theory in a single, unified resource. Taking a broad look at the algebraic, combinatorial, and analytic fundamentals, this book derives factorization results and applies them in concrete arithmetical situations using appropriate transfer principles. It begins with a basic introduction that can be understood with knowledge of standard basic algebra. The authors then move to the algebraic theory of monoids, arithmetic theory of monoids, the structure of sets of lengths, additive group theory, arithmetical invariants, and the arithmetic of Krull monoids. They also provide a self-contained introduction to abstract analytic number theory as well as a modern treatment of W. Narkiewicz's analytic theory of non-unique factorizations. Non-Unique Factorizations: Algebraic, Combinatorial, and Analytic Theory builds the discussion from first principles to applied problem solving, making it ideally suited to those not familiar with the theory as well as those who wish to deepen their understanding. 26 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Linear algebra, rational approximation, and orthogonal polynomials / par Bultheel, Adhemar. Publication : . 1 online resource (xvii, 446 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444828729,  http://www.sciencedirect.com/science/publication?issn=1570579X&volume=6,

Stream ciphers and number theory / par Cusick, Thomas W., Publication : . 1 online resource (xiv, 431 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444828736,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=55,

Elementary theory of numbers / par Sierpiński, Wacław, Publication : . 1 online resource (xii, 513 pages) , Based on the author's Teoria liczb. | Errata slip inserted. Disponibilité :  http://www.sciencedirect.com/science/book/9780444866622,

Set theory : an introduction to large cardinals / par Drake, F. R. Publication : . 1 online resource (xii, 351 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444105356,

Abstract analytic number theory / par Knopfmacher, John. Publication : . 1 online resource (ix, 322 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444107794,

Complex Numbers from A to ... Z par Andreescu, Titu. Publication : . XVII, 391 p. 83 illus. Disponibilité :  http://dx.doi.org/10.1007/978-0-8176-8415-0,

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