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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151444.0 |
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101116s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781441904959 |
|
978-1-4419-0495-9 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA241-247.5 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rassias, Michael Th. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Problem-Solving and Selected Topics in Number Theory |
| Medium |
[electronic resource] : |
| Remainder of title |
In the Spirit of the Mathematical Olympiads / |
| Statement of responsibility, etc |
by Michael Th. Rassias. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XV, 324p. 3 illus. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
- Introduction -- The Fundamental Theorem of Arithmetic -- Arithmetic functions -- Perfect numbers, Fermat numbers -- Basic theory of congruences -- Quadratic residues and the Law of Quadratic Reciprocity -- The functions p(x) and li(x) -- The Riemann zeta function -- Dirichlet series -- Partitions of integers -- Generating functions -- Solved exercises and problems -- The harmonic series of prime numbers -- Lagrange four-square theorem -- Bertrand postulate -- An inequality for the function p(n) -- An elementary proof of the Prime Number Theorem -- Historical remarks on Fermat’s Last Theorem -- Author index -- Subject index -- Bibliography and Cited References. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book is designed to introduce some of the most important theorems and results from number theory while testing the reader’s understanding through carefully selected Olympiad-caliber problems. These problems and their solutions provide the reader with an opportunity to sharpen their skills and to apply the theory. This framework guides the reader to an easy comprehension of some of the jewels of number theory The book is self-contained and rigorously presented. Various aspects will be of interest to graduate and undergraduate students in number theory, advanced high school students and the teachers who train them for mathematics competitions, as well as to scholars who will enjoy learning more about number theory. Michael Th. Rassias has received several awards in mathematical problem solving competitions including two gold medals at the Pan-Hellenic Mathematical Competitions of 2002 and 2003 held in Athens, a silver medal at the Balkan Mathematical Olympiad of 2002 held in Targu Mures, Romania and a silver medal at the 44th International Mathematical Olympiad of 2003 held in Tokyo, Japan. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Number theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Number Theory. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441904942 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-0495-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
