Libros de Aritmética, página 3 de 5

En este libro se ha conseguido materializar una visión completa de la didáctica de los números enteros, aportando elementos nuevos que abarcan desde los fundamentos hasta la propia planificación curr

Les possibilitats actuals de càlcul, impensables a meitat de segle, fan que calgui replantejar-se l'estudi, la recerca i, naturalment, també la docència de les matemàtiques. Aquest llibre és una intr

Els problemes que hi ha en aquest llibre són el resultat de quatre anys de docencia a l'assignatura de càlcul en la titulació d'Enginyeria Tecnica d'Obres Públiques a l'ETSECCPB. En aquests problemes

En esta edición de métodos numéricos se hace énfasis en cómo aplicar de manera inteligente las técnicas de aproximación a los problemas que suelen aparecer en la ciencia y en la ingeniería. El libro se acompaña de un CD-Rom en el cual encontramos, para cada uno de los métodos que se explican, un programa en los lenguajes C, FORTRAN y Pascal, así como un documento de trabajo para Maple, Matemática y Matlab. Los programas permiten a los lectores generar todos los resultados de los ejemplos, así como modificar los programas para resolver los problemas de su elección.

This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.

For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well- understood class of compact 3-manifolds. Familiar and new tools from diverse areas of mathematics have been utilized in these investigations, from topology, geometry, analysis, group theory, and from the point of view of this book, algebra and number theory. This book is aimed at readers already familiar with the basics of hyperbolic 3-manifolds or Kleinian groups, and it is intended to introduce them to the interesting connections with number theory and the tools that will be required to pursue them. While there are a number of texts which cover the topological, geometric and analytical aspects of hyperbolic 3-manifolds, this book is unique in that it deals exclusively with the arithmetic aspects, which are not covered in other texts. Colin Maclachlan is a Reader in the Department of Mathematical Sciences at the University of Aberdeen in Scotland where he has served since 1968.He is a former President of the Edinburgh Mathematical Society. Alan Reid is a Professor in the Department of Mathematics at The University of Texas at Austin. He is a former Royal Society University Research Fellow, Alfred P. Sloan Fellow and winner of the Sir Edmund Whittaker Prize from The Edinburgh Mathematical Society. Both authors have published extensively in the general area of discrete groups, hyperbolic manifolds and low-dimensional topology.

Contains solutions to all odd-numbered exercises in Chapters 10-14.

This invaluable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.