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100825s2010 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
|---|
| International Standard Book Number |
9781441970237 |
| -- |
978-1-4419-7023-7 |
| 040 ## - FUENTE DE CATALOGACIÓN |
|---|
| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
|---|
| Classification number |
QA1-939 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
|---|
| Classification number |
510 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
|---|
| Personal name |
Beck, Matthias. |
| Relator term |
author. |
| 245 14 - MENCIÓN DE TITULO |
|---|
| Title |
The Art of Proof |
| Medium |
[recurso electrónico] : |
| Remainder of title |
Basic Training for Deeper Mathematics / |
| Statement of responsibility, etc. |
by Matthias Beck, Ross Geoghegan. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2010. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
XXII, 182 p. 23 illus. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Undergraduate Texts in Mathematics, |
| International Standard Serial Number |
0172-6056 ; |
| Volume/sequential designation |
0 |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
The Discrete -- Integers -- Natural Numbers and Induction -- Some Points of Logic -- Recursion -- Underlying Notions in Set Theory -- Equivalence Relations and Modular Arithmetic -- Arithmetic in Base Ten -- The Continuous -- Real Numbers -- Embedding Z in R -- Limits and Other Consequences of Completeness -- Rational and Irrational Numbers -- Decimal Expansions -- Cardinality -- Final Remarks -- Further Topics -- Continuity and Uniform Continuity -- Public-Key Cryptography -- Complex Numbers -- Groups and Graphs -- Generating Functions -- Cardinal Number and Ordinal Number -- Remarks on Euclidean Geometry. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book -- Discrete and Continuous -- be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions. |
| 596 ## - |
|---|
| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics, general. |
| 700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL |
|---|
| Personal name |
Geoghegan, Ross. |
| Relator term |
author. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| 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 |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9781441970220 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Undergraduate Texts in Mathematics, |
| International Standard Serial Number |
0172-6056 ; |
| Volume number/sequential designation |
0 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7023-7">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7023-7</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
|---|
| Koha item type |
Libro Electrónico |
