The Nature Of Mathematics Pdf
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- 1998-10-09
- in Mathematics
The Nature of Mathematics and the Mathematics of Nature
Author: S. Andersson
Publisher: Elsevier
ISBN:
Category: Mathematics
Page: 345
View: 971
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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.
- 1919
- in Mathematics
- Philip Edward Bertrand Jourdain
The Nature of Mathematics
Author: Philip Edward Bertrand Jourdain
Publisher:
ISBN:
Category: Mathematics
Page: 126
View: 667
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- 2013-01
- in
- HardPress
The Nature of Mathematics
Author: HardPress
Publisher: Hardpress Publishing
ISBN:
Category:
Page: 138
View: 409
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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
- 2019
- in
- Philip E. B. Jourdain
Nature of Mathematics
Author: Philip E. B. Jourdain
Publisher:
ISBN:
Category:
Page:
View: 393
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- 2011-10-02
- in Mathematics
- John A. Adam
Mathematics in Nature
Modeling Patterns in the Natural World
Author: John A. Adam
Publisher: Princeton University Press
ISBN:
Category: Mathematics
Page: 392
View: 172
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From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
- 2014-06-23
- in Philosophy
- C. K. Ogden
Nature Of Mathematics Ilphil28
Author: C. K. Ogden
Publisher: Routledge
ISBN:
Category: Philosophy
Page: 236
View: 197
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First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
- 2012-10-12
- in Education
- Robert J. Sternberg
The Nature of Mathematical Thinking
Author: Robert J. Sternberg
Publisher: Routledge
ISBN:
Category: Education
Page: 352
View: 875
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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.
- 1950
- in Logic, Symbolic and mathematical
- Max Black
The Nature of Mathematics
A Critical Survey
Author: Max Black
Publisher:
ISBN:
Category: Logic, Symbolic and mathematical
Page: 219
View: 161
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- 2017
- in Mathematics
- Ian Stewart
The Beauty of Numbers in Nature
Mathematical Patterns and Principles from the Natural World
Author: Ian Stewart
Publisher: Mit Press
ISBN:
Category: Mathematics
Page: 224
View: 441
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"From a zebra's stripes to a spider's web, from sand dunes to snowflakes, nature is full of patterns underlaid by mathematical principles. In The Beauty of Numbers in Nature, Ian Stewart shows how life forms from the principles of mathematics. Each chapter in The Beauty of Numbers in Nature explores a different kind of patterning system and its mathematical underpinnings. In doing do, the book also uncovers some universal patterns ; both in nature and made by humans ; from the basic geometry of ancient Greece to the complexities of fractals." ; Publisher's description
- 1912
- in Electronic book
- Karl Smith
Nature of Mathematics
Author: Karl Smith
Publisher:
ISBN:
Category: Electronic book
Page:
View: 800
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- 2016-01-01
- in Mathematics
- Karl J. Smith
Nature of Mathematics
Author: Karl J. Smith
Publisher: Cengage Learning
ISBN:
Category: Mathematics
Page: 1024
View: 523
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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.
- 2014-06-23
- in Philosophy
- C. K. Ogden
Nature Of Mathematics Ilphil28
Author: C. K. Ogden
Publisher: Routledge
ISBN:
Category: Philosophy
Page: 236
View: 147
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First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
- 2000
- in Mathematics
- Max Black
The Nature of Mathematics
A Critical Survey
Author: Max Black
Publisher: Taylor & Francis
ISBN:
Category: Mathematics
Page: 219
View: 283
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First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
- 1939
- in
- University of Colorado
What Is the Nature of Mathematics, and in What Sense Does Mathematics Explain a Science?.
Author: University of Colorado
Publisher:
ISBN:
Category:
Page: 200
View: 680
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- 2011-05-13
- in Mathematics
- Steven G. Krantz
The Proof is in the Pudding
The Changing Nature of Mathematical Proof
Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN:
Category: Mathematics
Page: 264
View: 458
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This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.
- 2009
- in Mathematics
- Karl J. Smith
The Nature of Mathematics
Author: Karl J. Smith
Publisher:
ISBN:
Category: Mathematics
Page:
View: 738
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- 2017-06
- in
- Joseph Bergin
Number and the Nature of Mathematics
Author: Joseph Bergin
Publisher: Slant Flying Press
ISBN:
Category:
Page: 206
View: 803
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"Number and the Nature of Mathematics" covers a short course in understanding whatmathematicians do when they do Mathematics. It is suitable for an advanced secondaryschool student or a beginning university student contemplating a career as a mathematician. The course is built around an axiomatic development of number systemsfrom the Natural Numbers through the Complex Numbers. It has many side excursions to give some insight into the nature of abstraction. The book includes an extended example that fits simple, but fundamental, insights into a solution of an elementary, but interesting, problem. This book is based on a transformative course the author took at Loyola University of Los Angeles in 1962.
- 1973
- in Mathematics
- Nancy Tapper
The Nature of Mathematics
Author: Nancy Tapper
Publisher:
ISBN:
Category: Mathematics
Page: 23
View: 885
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- 2011-01-01
- in Mathematics
- Karl J. Smith
Nature of Mathematics
Author: Karl J. Smith
Publisher: Thomson Brooks/Cole
ISBN:
Category: Mathematics
Page: 1024
View: 378
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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, 12e, International Edition 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.
- 1973-04-01
- in
- Young
Nature of Mathematics
Author: Young
Publisher:
ISBN:
Category:
Page: 407
View: 873
DOWNLOAD NOW »
The Nature Of Mathematics Pdf
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