MARC details
| 000 -Record Label |
|---|
| fixed length control field |
02894nam 2200301| 4500 |
| 005 - Identificador da versão |
|---|
| control field |
20211222154817.0 |
| 010 ## - ISBN - International Standard Book Number |
|---|
| Número (ISBN) |
978-3-319-90915-8 |
| Modalidade de aquisição e/ou preço |
compra |
| 100 ## - Entrada principal |
|---|
| Dados gerais de processamento |
20190128d2018 k||y0pory50 ba |
| 101 0# - Língua do documento |
|---|
| Língua do texto, banda sonora, etc. |
eng |
| 102 ## - País da publicação |
|---|
| País de publicação |
US - United States of America |
| 200 1# - Título |
|---|
| Título próprio |
Methods of solving number theory problems |
| Indicação geral da natureza do documento |
Documento electrónico |
| Primeira menção de responsabilidade |
Ellina Grigorieva |
| 210 ## - Local de edição |
|---|
| Lugar da edição, distribuição, etc. |
Cham |
| Nome do editor, distribuidor, etc. |
Springer International Publishing |
| -- |
Birkhäuser |
| Data da publicação, distribuição, etc. |
2018 |
| 215 ## - Descrição física (Vol.pg.fl.tm.fsc) |
|---|
| Descrição física |
XXI, 391 p. |
| 300 ## - Notas gerais |
|---|
| Texto da nota |
Colocação: Online |
| 303 ## - Notas Informação descritiva |
|---|
| Texto da nota |
Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. The first chapter of the book covers topics like even and odd numbers, divisibility, prime, perfect, figurate numbers, and introduces congruence. The next chapter works with representations of natural numbers in different bases, as well as the theory of continued fractions, quadratic irrationalities, and also explores different methods of proofs. The third chapter is dedicated to solving unusual factorial and exponential equations, Diophantine equations, introduces Pell’s equations and how they connect algebra and geometry. Chapter 4 reviews Pythagorean triples and their relation to algebraic geometry, representation of a number as the sum of squares or cubes of other numbers, quadratic residuals, and interesting word problems. Appendices provide a historic overview of number theory and its main developments from ancient cultures to the modern day. Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence. |
| 606 ## - Nome comum como assunto |
|---|
| Koha Internal code |
4433 |
| Elemento de entrada |
Teoria dos números |
| 606 ## - Nome comum como assunto |
|---|
| Koha Internal code |
3551 |
| Elemento de entrada |
Matemática |
| Subdivisão de assunto |
Ensino |
| 606 ## - Nome comum como assunto |
|---|
| Koha Internal code |
3524 |
| Elemento de entrada |
Lógica matemática |
| 680 ## - Classificação Biblioteca Congresso |
|---|
| Notação |
QA241 |
| 700 ## - Autor (resp. principal) |
|---|
| Koha Internal Code |
40456 |
| Palavra de ordem |
Grigorieva |
| Outra parte do nome |
Ellina |
| 801 #0 - Fonte de origem |
|---|
| Regras de catalogação |
RPC |
| País |
Portugal |
| 856 ## - URL Endereço WEB |
|---|
| URL |
https://doi.org/10.1007/978-3-319-90915-8 |
| 942 ## - Elementos de entrada adicionados (Koha) |
|---|
| Fonte da classificação ou esquema de estante |
Library of Congress Classification |
| Tipo de item no Koha |
E-Books |
| Suprimido |
0 |
