Cargando…
Learning and teaching mathematics using simulations : plus 2000 examples from physics /
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 do...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Alemán |
| Publicado: |
Berlin ; Boston :
De Gruyter,
©2011.
|
| Colección: | De Gruyter textbook.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn775864413 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr un|---uuuuu | ||
| 008 | 120109s2011 gw a o 000 0 eng d | ||
| 010 | |z 2011007424 | ||
| 040 | |a IDEBK |b eng |e pn |c IDEBK |d E7B |d CDX |d ORE |d N$T |d YDXCP |d OCLCQ |d OCLCO |d EBLCP |d DEBBG |d CHVBK |d DEBSZ |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d AGLDB |d COCUF |d CNNOR |d MERUC |d K6U |d ICG |d LOA |d STF |d PIFAG |d FVL |d ZCU |d OCLCQ |d DEGRU |d U3W |d D6H |d OCLCQ |d OCLCF |d WRM |d VTS |d INT |d VT2 |d OCLCQ |d WYU |d TKN |d OCLCQ |d A6Q |d LEAUB |d DKC |d OCLCQ |d UKAHL |d OCLCQ |d UKCRE |d AJS |d OCLCO |d OCLCQ | ||
| 019 | |a 769343068 |a 816881810 |a 982068541 |a 991977097 |a 1029504959 |a 1037744290 |a 1038657538 |a 1055340035 |a 1066645708 |a 1081218856 |a 1083606302 |a 1153481425 |a 1228567363 | ||
| 020 | |a 9783110250077 |q (electronic bk.) | ||
| 020 | |a 3110250071 |q (electronic bk.) | ||
| 020 | |a 128339992X | ||
| 020 | |a 9781283399920 | ||
| 020 | |z 9783110250053 | ||
| 020 | |z 3110250055 | ||
| 029 | 1 | |a AU@ |b 000051584879 | |
| 029 | 1 | |a CHBIS |b 010396645 | |
| 029 | 1 | |a CHVBK |b 331232960 | |
| 029 | 1 | |a DEBBG |b BV042348136 | |
| 029 | 1 | |a DEBBG |b BV043106096 | |
| 029 | 1 | |a DEBSZ |b 42146593X | |
| 029 | 1 | |a DEBSZ |b 431077495 | |
| 029 | 1 | |a DEBSZ |b 478280920 | |
| 035 | |a (OCoLC)775864413 |z (OCoLC)769343068 |z (OCoLC)816881810 |z (OCoLC)982068541 |z (OCoLC)991977097 |z (OCoLC)1029504959 |z (OCoLC)1037744290 |z (OCoLC)1038657538 |z (OCoLC)1055340035 |z (OCoLC)1066645708 |z (OCoLC)1081218856 |z (OCoLC)1083606302 |z (OCoLC)1153481425 |z (OCoLC)1228567363 | ||
| 041 | 1 | |a eng |h ger | |
| 050 | 4 | |a QA20.C65 |b R6713 2011eb | |
| 072 | 7 | |a MAT |x 030000 |2 bisacsh | |
| 072 | 7 | |a PB |2 bicssc | |
| 082 | 0 | 4 | |a 510.71 |2 22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Röss, Dieter, |d 1932- | |
| 240 | 1 | 0 | |a Mathematik mit Simulationen lehren und lernen. |l English |
| 245 | 1 | 0 | |a Learning and teaching mathematics using simulations : |b plus 2000 examples from physics / |c Dieter Röss. |
| 260 | |a Berlin ; |a Boston : |b De Gruyter, |c ©2011. | ||
| 300 | |a 1 online resource (238 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Textbook | |
| 520 | |a 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 | |a 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 | |a 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 | |a 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 | |a 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 | |a 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 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematics |x Study and teaching |x Simulation methods. | |
| 650 | 0 | |a Physics |x Study and teaching |x Simulation methods. | |
| 650 | 0 | |a Mathematics |v Textbooks. | |
| 650 | 0 | |a Physics |v Textbooks. | |
| 650 | 6 | |a Mathématiques |x Étude et enseignement |x Méthodes de simulation. | |
| 650 | 6 | |a Physique |x Étude et enseignement |x Méthodes de simulation. | |
| 650 | 7 | |a MATHEMATICS |x Study & Teaching. |2 bisacsh | |
| 650 | 7 | |a Mathematics. |2 fast |0 (OCoLC)fst01012163 | |
| 650 | 7 | |a Mathematics |x Study and teaching |x Simulation methods. |2 fast |0 (OCoLC)fst01012259 | |
| 650 | 7 | |a Physics. |2 fast |0 (OCoLC)fst01063025 | |
| 655 | 7 | |a Textbooks. |2 fast |0 (OCoLC)fst01423863 | |
| 776 | 0 | 8 | |i Print version: |a Röss, Dieter. |t Learning and Teaching Mathematics using Simulations : Plus 2000 Examples from Physics. |d Berlin : Walter de Gruyter, ©2011 |z 9783110250053 |
| 830 | 0 | |a De Gruyter textbook. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=420528 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25310569 | ||
| 938 | |a Coutts Information Services |b COUT |n 20504062 |c 49.00 USD | ||
| 938 | |a De Gruyter |b DEGR |n 9783110250077 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL827292 | ||
| 938 | |a ebrary |b EBRY |n ebr10521739 | ||
| 938 | |a EBSCOhost |b EBSC |n 420528 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 339992 | ||
| 938 | |a YBP Library Services |b YANK |n 7299114 | ||
| 994 | |a 92 |b IZTAP | ||