MARC details
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07042cam a2200781 a 4500 |
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ocn775864413 |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240925133537.0 |
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m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr un|---uuuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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120109s2011 gw a o 000 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| Canceled/invalid LC control number |
2011007424 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IDEBK |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
IDEBK |
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E7B |
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CDX |
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ORE |
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OCLCQ |
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769343068 |
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816881810 |
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982068541 |
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991977097 |
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1029504959 |
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1037744290 |
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1038657538 |
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1055340035 |
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1066645708 |
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1081218856 |
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1083606302 |
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1153481425 |
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1228567363 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783110250077 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3110250071 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
128339992X |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781283399920 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783110250053 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3110250055 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
420528 |
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(N$T) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)775864413 |
| Canceled/invalid control number |
(OCoLC)769343068 |
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(OCoLC)816881810 |
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(OCoLC)982068541 |
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(OCoLC)991977097 |
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(OCoLC)1029504959 |
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(OCoLC)1037744290 |
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(OCoLC)1038657538 |
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(OCoLC)1055340035 |
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(OCoLC)1066645708 |
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(OCoLC)1081218856 |
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(OCoLC)1083606302 |
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(OCoLC)1153481425 |
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(OCoLC)1228567363 |
| 041 1# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| Language code of original |
ger |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA20.C65 |
| Item number |
R6713 2011eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
030000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PB |
| Source |
bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510.71 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Röss, Dieter, |
| Dates associated with a name |
1932- |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJhhqYVhcmhjfdT4DXVHmd |
| 9 (RLIN) |
595182 |
| 240 10 - UNIFORM TITLE |
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| Uniform title |
<a href="Mathematik mit Simulationen lehren und lernen.">Mathematik mit Simulationen lehren und lernen.</a> |
| Language of a work |
English |
| 245 10 - TITLE STATEMENT |
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| Title |
Learning and teaching mathematics using simulations : |
| Remainder of title |
plus 2000 examples from physics / |
| Statement of responsibility, etc. |
Dieter Röss. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Berlin ; |
| -- |
Boston : |
| Name of publisher, distributor, etc. |
De Gruyter, |
| Date of publication, distribution, etc. |
©2011. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (238 pages) |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
De Gruyter Textbook |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This is a unique, comprehensive and documented collection of simulations in mathematics and physics: More than 2000 simulations, offered on our webpage for comfortable use online. The book, written by an experienced teacher and practitioner, contains a complete introduction to mathematics and the documentation to the simulations. This is a great way to learn mathematics and physics. Suitable for courses in Mathematics for Engineering and Sciences. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction; Goal and structure of the digital book; Directories; Usage and technical conventions; Example of a simulation: The Möbius band; Physics and mathematics; Mathematics as the ``Language of physics''; Physics and calculus; Numbers; Natural numbers; Whole numbers; Rational numbers; Irrational numbers; Algebraic numbers; Transcendental numbers; and the quadrature of the circle, according to Archimedes; Real numbers; Complex numbers; Representation as a pair of real numbers; Normal representation with the ``imaginary unit i''; Complex plane; Representation in polar coordinates. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Simulation of complex addition and subtractionSimulation of complex multiplication and division; Extension of arithmetic; Sequences of numbers and series; Sequences and series; Sequence and series of the natural numbers; Geometric series; Limits; Fibonacci sequence; Complex sequences and series; Complex geometric sequence and series; Complex exponential sequence and exponential series; Influence of limited accuracy of measurements and nonlinearity; Numbers in mathematics and physics; Real sequence with nonlinear creation law: Logistic sequence. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Complex sequence with nonlinear creation law: FractalsFunctions and their infinitesimal properties; Definition of functions; Difference quotient and differential quotient; Derivatives of a few fundamental functions; Powers and polynomials; Exponential function; Trigonometric functions; Rules for the differentiation of combined functions; Derivatives of further fundamental functions; Series expansion: the Taylor series; Coefficients of the Taylor series; Approximation formulas for simple functions; Derivation of formulas and errors bounds for numericaldifferentiation. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Interactive visualization of Taylor expansionsGraphical presentation of functions; Functions of one to three variables; Functions of four variables: World line in the theory of relativity; General properties of functions y=f(x); Exotic functions; The limiting process for obtaining the differential quotient; Derivatives and differential equations; Phase space diagrams; Antiderivatives; Definition of the antiderivative via its differential equation; Definite integral and initial value; Integral as limit of a sum; The definition of the Riemann integral; Lebesgue integral. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Rules for the analytical integrationNumerical integration methods; Error estimates for numerical integration; Series expansion (2): the Fourier series; Taylor series and Fourier series; Determination of the Fourier coefficients; Visualizing the calculation of coefficients and spectrum; Examples of Fourier expansions; Complex Fourier series; Numerical solution of equations and iterative methods; Visualization of functions in the space of real numbers; Standard functions y=f(x); Some functions y=f(x) that are important in physics; Standard functions of two variables z=f(x, y); Waves in space. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
Added to collection customer.56279.3 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| General subdivision |
Study and teaching |
| -- |
Simulation methods. |
| 9 (RLIN) |
595183 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics |
| General subdivision |
Study and teaching |
| -- |
Simulation methods. |
| 9 (RLIN) |
595184 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| Form subdivision |
Textbooks. |
| 9 (RLIN) |
465397 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics |
| Form subdivision |
Textbooks. |
| 9 (RLIN) |
14571 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathématiques |
| General subdivision |
Étude et enseignement |
| -- |
Méthodes de simulation. |
| 9 (RLIN) |
1016114 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physique |
| General subdivision |
Étude et enseignement |
| -- |
Méthodes de simulation. |
| 9 (RLIN) |
1016115 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Study & Teaching. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
125190 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics |
| Source of heading or term |
fast |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics |
| General subdivision |
Study and teaching |
| -- |
Simulation methods |
| Source of heading or term |
fast |
| 9 (RLIN) |
595183 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics |
| Source of heading or term |
fast |
| 9 (RLIN) |
1669 |
| 655 #7 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Textbooks |
| Source of term |
fast |
| 9 (RLIN) |
14575 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Print version: |
| Main entry heading |
Röss, Dieter. |
| Title |
Learning and Teaching Mathematics using Simulations : Plus 2000 Examples from Physics. |
| Place, publisher, and date of publication |
Berlin : Walter de Gruyter, ©2011 |
| International Standard Book Number |
9783110250053 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
De Gruyter textbook. |
| 9 (RLIN) |
513093 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
EBSCOhost |
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=420528">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=420528</a> |
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Askews and Holts Library Services |
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ASKH |
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AH25310569 |
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Coutts Information Services |
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COUT |
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20504062 |
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49.00 USD |
| 938 ## - |
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De Gruyter |
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DEGR |
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9783110250077 |
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EBL - Ebook Library |
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EBLB |
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EBL827292 |
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ebrary |
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EBRY |
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ebr10521739 |
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EBSCOhost |
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EBSC |
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420528 |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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339992 |
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YBP Library Services |
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YANK |
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7299114 |
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92 |
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N$T |