[PDF] The Nature Of Mathematics

The Nature of Mathematics PDF
Author: Max Black
Publisher: Taylor & Francis
ISBN: 9780415225427
Size: 78.18 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 219
View: 4480

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The Nature Of Mathematics

by Max Black, release date 2000, The Nature Of Mathematics Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematics books, First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.




[PDF] Nature Of Mathematics

Nature of Mathematics PDF
Author: Karl J. Smith
Publisher: Cengage Learning
ISBN: 0538737581
Size: 38.29 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 1024
View: 139

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Nature Of Mathematics

by Karl J. Smith, release date 2011-01-01, Nature Of Mathematics Books available in PDF, EPUB, Mobi Format. Download Nature Of Mathematics books, Written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics, Karl Smith introduces students to Polya's problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. In addition to the problem-solving emphasis, THE NATURE OF MATHEMATICS is renowned for its clear writing, coverage of historical topics, selection of topics, level, and excellent applications problems. Smith includes material on such practical real-world topics as finances (e.g. amortization, installment buying, annuities) and voting and apportionment. With the help of this text, thousands of students have experienced mathematics rather than just do problems--and benefited from a writing style that boosts their confidence and fosters their ability to use mathematics effectively in their everyday lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.




[PDF] The Nature And Power Of Mathematics

The Nature and Power of Mathematics PDF
Author: Donald M. Davis
Publisher: Courier Corporation
ISBN: 0486152154
Size: 56.34 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 400
View: 1103

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The Nature And Power Of Mathematics

by Donald M. Davis, release date 2013-03-19, The Nature And Power Of Mathematics Books available in PDF, EPUB, Mobi Format. Download The Nature And Power Of Mathematics books, This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists, focusing on non-Euclidean geometry, number theory, and fractals. Numerous illustrations. 1993 edition.




[PDF] The Nature Of Mathematical Knowledge

The Nature of Mathematical Knowledge PDF
Author: Philip Kitcher
Publisher: Oxford University Press on Demand
ISBN: 0195035410
Size: 66.89 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 287
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The Nature Of Mathematical Knowledge

by Philip Kitcher, release date 1984, The Nature Of Mathematical Knowledge Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematical Knowledge books, This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledgeand its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.




[PDF] The Nature Of Mathematical Modeling

The Nature of Mathematical Modeling PDF
Author: Neil A. Gershenfeld
Publisher: Cambridge University Press
ISBN: 9780521570954
Size: 53.76 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 344
View: 3065

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The Nature Of Mathematical Modeling

by Neil A. Gershenfeld, release date 1999, The Nature Of Mathematical Modeling Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematical Modeling books, Major text/reference work on computer modeling for students and researchers in any quantitative or semi-quantitative discipline, first published in 1998.




[PDF] 18 Unconventional Essays On The Nature Of Mathematics

18 Unconventional Essays on the Nature of Mathematics PDF
Author: Reuben Hersh
Publisher: Springer Science & Business Media
ISBN: 0387298312
Size: 25.28 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 326
View: 328

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18 Unconventional Essays On The Nature Of Mathematics

by Reuben Hersh, release date 2006-01-16, 18 Unconventional Essays On The Nature Of Mathematics Books available in PDF, EPUB, Mobi Format. Download 18 Unconventional Essays On The Nature Of Mathematics books, Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines




[PDF] The Nature Of Mathematical Thinking

The Nature of Mathematical Thinking PDF
Author: Robert J. Sternberg
Publisher: Routledge
ISBN: 1136487506
Size: 14.19 MB
Format: PDF
Category : Education
Languages : en
Pages : 352
View: 3343

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The Nature Of Mathematical Thinking

by Robert J. Sternberg, release date 2012-10-12, The Nature Of Mathematical Thinking Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematical Thinking books, Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.




[PDF] The Nature Of Mathematics

The Nature of Mathematics PDF
Author: Philip E. B. Jourdain
Publisher: Courier Corporation
ISBN: 0486154963
Size: 21.86 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 80
View: 6791

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The Nature Of Mathematics

by Philip E. B. Jourdain, release date 2013-01-09, The Nature Of Mathematics Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematics books, Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.




[PDF] The Nature Of Mathematics And The Mathematics Of Nature

The Nature of Mathematics and the Mathematics of Nature PDF
Author: S. Andersson
Publisher: Elsevier
ISBN: 9780080537344
Size: 26.14 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 345
View: 5433

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The Nature Of Mathematics And The Mathematics Of Nature

by S. Andersson, release date 1998-10-09, The Nature Of Mathematics And The Mathematics Of Nature Books available in PDF, EPUB, Mobi Format. Download The Nature Of Mathematics And The Mathematics Of Nature books, Chemistry, physics and biology are by their nature genuinely difficult. Mathematics, however, is man-made, and therefore not as complicated. Two ideas form the basis for this book: 1) to use ordinary mathematics to describe the simplicity in the structure of mathematics and 2) to develop new branches of mathematics to describe natural sciences. Mathematics can be described as the addition, subtraction or multiplication of planes. Using the exponential scale the authors show that the addition of planes gives the polyhedra, or any solid. The substraction of planes gives saddles. The multiplication of planes gives the general saddle equations and the multispirals. The equation of symmetry is derived, which contains the exponential scale with its functions for solids, the complex exponentials with the nodal surfaces, and the GD (Gauss Distribution) mathematics with finite periodicity. Piece by piece, the authors have found mathematical functions for the geometrical descriptions of chemical structures and the structure building operations. Using the mathematics for dilatation; twins, trillings, fourlings and sixlings are made, and using GD mathematics these are made periodic. This description of a structure is the nature of mathematics itself. Crystal structures and 3D mathematics are synonyms. Mathematics are used to describe rod packings, Olympic rings and defects in solids. Giant molecules such as cubosomes, the DNA double helix, and certain building blocks in protein structures are also described mathematically.




[PDF] Cultural Foundations Of Mathematics

Cultural Foundations of Mathematics PDF
Author: C. K. Raju
Publisher: Pearson Education India
ISBN: 9788131708712
Size: 69.40 MB
Format: PDF, ePub
Category : Calculus
Languages : en
Pages : 477
View: 4358

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Cultural Foundations Of Mathematics

by C. K. Raju, release date 2007, Cultural Foundations Of Mathematics Books available in PDF, EPUB, Mobi Format. Download Cultural Foundations Of Mathematics books, The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.