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An Introduction to Diophantine Equations [recurso electrónico] : A Problem-Based Approach / by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu.

Por: Andreescu, Titu [author.]Colaborador(es): Andrica, Dorin [author.] | Cucurezeanu, Ion [author.] | SpringerLink (Online service)Tipo de material: Texto

TextoEditor: Boston : Birkhäuser Boston, 2010Descripción: XI, 345p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780817645496Tema(s): Mathematics | Algebra | Number theory | Mathematics | Number Theory | AlgebraFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512.7 Clasificación LoC:QA241-247.5Recursos en línea: Libro electrónico Texto

Contenidos:

Diophantine Equations -- Elementary Methods for Solving Diophantine Equations -- Some Classical Diophantine Equations -- Pell-Type Equations -- Some Advanced Methods for Solving Diophantine Equations -- Solutions to Exercises and Problems -- Solutions to Elementary Methods for Solving Diophantine Equations -- Solutions to Some Classical Diophantine Equations -- Solutions to Pell-Type Equations -- Solutions to Some Advanced Methods in Solving Diophantine Equations.

En: Springer eBooksResumen: This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA241 -247.5 (Browse shelf(Abre debajo))	1	No para préstamo		370386-2001

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This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.