This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology.
This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G.
Hiroshi Toda's classic treatment of composition methods in homotopy groups of spheres from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic.
A classic treatment of ramification theoretic methods in algebraic geometry from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
A fun and lively look at the mathematical ideas concealed in video gamesDid you know that every time you pick up the controller to your PlayStation or Xbox, you are entering a game world steeped in mathematics?
A classic treatment of cross-spaces from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object.
Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible.
Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations.
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
A fascinating exploration of the pentagon and its role in various culturesThe pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists.
A groundbreaking contribution to number theory that unifies classical and modern resultsThis book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus.
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations.
Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas.
The essential reference book on matrices-now fully updated and expanded, with new material on scalar and vector mathematicsSince its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics.
Esta obra presenta un estudio detallado y riguroso, en el que se hace uso de herramientas del álgebra lineal (matrices, valores y vectores propios, el teorema espectral, para matrices simétricas) que permiten identificar y reducir los lugares geométricos representados por la ecuación general de segundo grado en dos variables (las cónicas) y en tres variables (las superficies cuádricas).
Este libro es el primero de la colección "Matemáticas para Ingeniería", que se centra en el aprendizaje y consolidación de los conocimientos matemáticos previos necesarios para todo estudiante de ingeniería de la PUCV.
En este libro titulado "Matemáticas para Ingeniería II: Cálculo diferencial e integral", los autores entregan a sus lectores en 3 capítulos los conocimientos de cálculo diferencial y cálculo integral, los cuales son parte del eje de formación de ciencias de todos los planes de estudio de las carreras del área de ingeniería.
Las ecuaciones diferenciales nos permiten comprender la dinamica del mundo que nos rodea en nuestra vida cotidiana: desde el movimiento de los planetas en el espacio hasta el flujo de liquidos.
En este texto, se encuentran combinados, con rigor y sencillez excepcionales, los fundamentos de los metodos propios del Algebra Lineal para la resolucion de sistemas de ecuaciones (lineales y no lineales), los calculos de valores y vectores propios, con las tecnicas numericas mas adecuadas.
Hoy en día, pocos alumnos alcanzan a tener el grado de destreza necesario para desarrollar problemas algebraicos, y los docentes no encuentran el modo de lograr que esas destrezas sean adquiridas en clase.
Esta cartilla recopila los conceptos basicos y necesarios para abordar los primeros cursos de matematicas a nivel superior, a saber: las operaciones con numeros reales y sus respectivas propiedades,en particular, se dedica un capitulo exclusivo a la potenciacion, radicacion y logaritmacion, las cuales se presentan en forma comparativa, de este modo el lector puede visualizar como se relacionan y diferencian entre ellas.
This book is a must have for all competitive exams where 10+2 level mathematics questions are asked for example, GMAT, GRE, SAT, ACT, EA, Olympiad, Putnam, ISI, CMI, KVPY, RMO, INMO, CAT, XLRI, IIT JEE, WBJEE etc.
