MARC details
000 -Record Label |
fixed length control field |
02578nam a22002895i 4500 |
005 - Identificador da versão |
control field |
20231110185832.0 |
010 ## - ISBN - International Standard Book Number |
Número (ISBN) |
978-3-030-79431-6 |
Modalidade de aquisição e/ou preço |
compra |
100 ## - Entrada principal |
Dados gerais de processamento |
20231023d2022 k||y0pory50 ba |
101 0# - Língua do documento |
Língua do texto, banda sonora, etc. |
eng |
102 ## - País da publicação |
País de publicação |
Switzerland, Swiss Confederation |
200 1# - Título |
Título próprio |
Theory of infinite sequences and series |
Indicação geral da natureza do documento |
Documento eletrónico |
Primeira menção de responsabilidade |
by Ludmila Bourchtein, Andrei Bourchtein |
210 ## - Local de edição |
Lugar da edição, distribuição, etc. |
Cham |
Nome do editor, distribuidor, etc. |
Springer International Publishing |
Data da publicação, distribuição, etc. |
2022 |
215 ## - Descrição física (Vol.pg.fl.tm.fsc) |
Descrição física |
XIV, 377 p. |
Outras indicações físicas |
il. |
303 ## - Notas Informação descritiva |
Texto da nota |
This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning - the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book. |
606 ## - Nome comum como assunto |
Elemento de entrada |
Sequences (Mathematics) |
606 ## - Nome comum como assunto |
Elemento de entrada |
Functions of real variables |
680 ## - Classificação Biblioteca Congresso |
Notação |
QA292 |
680 ## - Classificação Biblioteca Congresso |
Notação |
QA295 |
700 ## - Autor (resp. principal) |
Koha Internal Code |
70579 |
Palavra de ordem |
Bourchtein |
Outra parte do nome |
Ludmila |
701 ## - Co-responsabilidade principal |
Koha Internal Code |
70580 |
Palavra de ordem |
Bourchtein |
Outra parte do nome |
Andrei |
Código de função |
co-aut. |
801 #0 - Fonte de origem |
País |
Portugal |
Regras de catalogação |
RPC |
856 4# - URL Endereço WEB |
URL |
https://doi.org/10.1007/978-3-030-79431-6 |
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 |