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Creative Mathematics /
"Professor H.S. Wall wrote Creative Mathematics with the intention of leading students to develop their mathematical abilities, helping them learn the art of mathematics, and teaching them to create mathematical ideas. Creative Mathematics, according to Wall, "is not a compendium of mathem...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Classroom resource materials.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn889958042 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 120315s2012 enk o 001 0 eng d | ||
| 040 | |a EUX |b eng |e pn |c EUX |d EBLCP |d DEBSZ |d OCLCQ |d ZCU |d MERUC |d ICG |d OCLCF |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d DKC |d OCLCQ |d OCLCA |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 923220405 |a 929120359 | ||
| 020 | |a 9781614441014 |q (ebook) | ||
| 020 | |a 1614441014 |q (ebook) | ||
| 029 | 1 | |a DEBBG |b BV043624274 | |
| 029 | 1 | |a DEBBG |b BV044103493 | |
| 029 | 1 | |a DEBSZ |b 449725227 | |
| 035 | |a (OCoLC)889958042 |z (OCoLC)923220405 |z (OCoLC)929120359 | ||
| 050 | 4 | |a QA37 ǂb W29 2009eb | |
| 082 | 0 | 4 | |a 515 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Wall, H. S. | |
| 245 | 1 | 0 | |a Creative Mathematics / |c H.S. Wall. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource | ||
| 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 Classroom Resource Materials | |
| 500 | |a Title from publishers bibliographic system (viewed on 11 Apr 2014). | ||
| 505 | 0 | |a Cover -- copyright page -- title page -- Foreword -- Preface -- Contents -- Short Biography of H.S. Wall -- 1 Numbers -- Sample Proofs -- 2 Ordered Number Pairs -- The Simple Graph L -- Problems -- The Logarithm -- Properties of L -- The Simple Graph E -- Powers and Roots -- 3 Slope -- Straight Lines -- Computation Formulas for L -- Computation of e -- Slope of a Simple Graph -- The Simple Graph I -- 4 Combinations of Simple Graphs -- Addition -- Multiplication -- Bracket Multiplication -- The Derivative | |
| 505 | 8 | |a 5 Theorems about Simple GraphsThe Conjectured Computation Formula -- The Addition Formulas for L and E -- The Simple Graphs S and C -- A Point Set which is not a Simple Graph -- Inequalities -- 6 The Simple Graphs of Trigonometry -- Addition Formulas for A -- Computation Problem for A -- The Simple Graphs K, C, S, and B -- Extension of S and C to the Set of all Numbers -- Connection with Triangles -- Property S -- 7 The Integral -- Property S -- Properties of Integrals -- Evaluation of Integrals -- A Theorem on Transformation of Integrals | |
| 505 | 8 | |a 8 Computation Formulas Obtained by Means of the IntegralComputation Formulas For L, A -- Computation Formulas for E, S, C -- The Binomial Theorem -- Length of a Simple Graph -- Length of an Arc of a Circle -- Polar Equations -- Analogy Between S, C and S, C -- 9 Simple Graphs Made to Order -- The Equation f ' = g · f + h -- The Equation f + kf = g -- The Equation f + pf' + qf = g -- 10 More about Integrals -- g-Length of an Interval -- Integral of a Simple Graph with Respect to a Simple Graph -- Properties of Int^b_a f dg -- Bounded Variation | |
| 505 | 8 | |a Extended IntegralsNumber Sequences -- Two Questions -- 11 Simple Surfaces -- Gradient -- Combination of Simple Surfaces -- More Simple Graphs Determined by a Simple Surface -- g-Area of a Rectangular Interval -- Maxima and Minima -- Integral of a Simple Surface with Respect to a Simple Surface -- Iterated Integrals -- Case Where f is not Continuous -- Integral over a Point Set -- Area of a Simple Surface -- Path Integrals -- Vectors -- Assorted Theorems and Problems -- 12 Successive Approximations | |
| 505 | 8 | |a Existence of Certain Numbers Established by Successive ApproximationsLemmas Concerning Sequences -- Simple Graphs Determined by Successive Approximations -- The Equation f ' â?? f = â??H -- Ordered Pairs of Simple Graphs Determined by Successive Approximations -- Particular Examples -- (A) The Simple Graphs S and C -- (B) The Equation f ' = I^2 + f^2 -- (C) The Equation u f + v f ' + wf = g -- 13 Linear Spaces of Simple Graphs -- Linear Transformations in the Plane -- Axioms for Linear Space -- The Inner Product Space M[a, b] | |
| 520 | |a "Professor H.S. Wall wrote Creative Mathematics with the intention of leading students to develop their mathematical abilities, helping them learn the art of mathematics, and teaching them to create mathematical ideas. Creative Mathematics, according to Wall, "is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery." The book is self-contained and assumes little formal mathematical background on the part of the reader. Wall is earnest about developing mathematical creativity and independence in students. Wall developed Creative Mathematics over a period of many years of working with students at the University of Texas at Austin. In fewer than 200 pages, he takes the reader on a stimulating tour starting with numbers and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The student who has worked through Creative Mathematics will come away with heightened mathematical maturity."--Page 4 of cover. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Wall, H.S. |t Creative Mathematics. |d Washington : Mathematical Association of America, ©2014 |z 9780883857502 |
| 830 | 0 | |a Classroom resource materials. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330325 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL3330325 | ||
| 994 | |a 92 |b IZTAP | ||