Mathematics in Nature

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Publisher : Princeton University Press
ISBN 13 : 1400841011
Total Pages : 408 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics in Nature by : John A. Adam

Download or read book Mathematics in Nature written by John A. Adam and published by Princeton University Press. This book was released on 2011-10-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nature and Utility of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Nature and Utility of Mathematics by : Charles Davies

Download or read book Nature and Utility of Mathematics written by Charles Davies and published by . This book was released on 1873 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Nature and Utility of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Nature and Utility of Mathematics by : Charles Davies

Download or read book The Nature and Utility of Mathematics written by Charles Davies and published by . This book was released on 1873 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Nature and Utility of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis The Nature and Utility of Mathematics by : Charles Davies

Download or read book The Nature and Utility of Mathematics written by Charles Davies and published by . This book was released on 1873 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Nature and Utility of Mathematics; With the Best Methods of Instruction Explained and Illustrated

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Author :
Publisher : Legare Street Press
ISBN 13 : 9781021461285
Total Pages : 0 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Nature and Utility of Mathematics; With the Best Methods of Instruction Explained and Illustrated by : Charles Davies

Download or read book The Nature and Utility of Mathematics; With the Best Methods of Instruction Explained and Illustrated written by Charles Davies and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author explores the nature and utility of mathematics and provides insight into the best methods of instruction. The author's explanations and illustrations make complex mathematical concepts accessible to readers of all levels. This book is an essential resource for anyone interested in mathematics education. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Mathematics And The Natural Sciences: The Physical Singularity Of Life

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Publisher : World Scientific
ISBN 13 : 1908977795
Total Pages : 337 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Mathematics And The Natural Sciences: The Physical Singularity Of Life by : Giuseppe Longo

Download or read book Mathematics And The Natural Sciences: The Physical Singularity Of Life written by Giuseppe Longo and published by World Scientific. This book was released on 2011-03-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work.The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations.Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level./a

The Nature of Mathematical Knowledge

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Publisher : Oxford University Press, USA
ISBN 13 : 0195035410
Total Pages : 300 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis The Nature of Mathematical Knowledge by : Philip Kitcher

Download or read book The Nature of Mathematical Knowledge written by Philip Kitcher and published by Oxford University Press, USA. This book was released on 1984 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 knowledge and 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.

The Logic and Utility of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Logic and Utility of Mathematics by : Charles Davies

Download or read book The Logic and Utility of Mathematics written by Charles Davies and published by . This book was released on 1850 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nature and Utility of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 419 pages
Book Rating : 4.:/5 (763 download)

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Book Synopsis Nature and Utility of Mathematics by : J. O. Davies

Download or read book Nature and Utility of Mathematics written by J. O. Davies and published by . This book was released on 1875 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Nature and Utility of Mathematics; with the Best Methods of Instruction Explained and Illustrated

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Author :
Publisher : Hardpress Publishing
ISBN 13 : 9781314192896
Total Pages : 492 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis The Nature and Utility of Mathematics; with the Best Methods of Instruction Explained and Illustrated by : Charles Davies

Download or read book The Nature and Utility of Mathematics; with the Best Methods of Instruction Explained and Illustrated written by Charles Davies and published by Hardpress Publishing. This book was released on 2013-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

NATURE & UTILITY OF MATHEMATIC

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Publisher :
ISBN 13 : 9781371854140
Total Pages : 486 pages
Book Rating : 4.8/5 (541 download)

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Book Synopsis NATURE & UTILITY OF MATHEMATIC by : Charles 1798-1876 Davies

Download or read book NATURE & UTILITY OF MATHEMATIC written by Charles 1798-1876 Davies and published by . This book was released on 2016-08-28 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Our Mathematical Universe

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Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The Nature of Mathematics and the Mathematics of Nature

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Publisher : Elsevier
ISBN 13 : 9780080537344
Total Pages : 345 pages
Book Rating : 4.5/5 (373 download)

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Book Synopsis The Nature of Mathematics and the Mathematics of Nature by : S. Andersson

Download or read book The Nature of Mathematics and the Mathematics of Nature written by S. Andersson and published by Elsevier. This book was released on 1998-10-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Language of Nature

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Publisher : U of Minnesota Press
ISBN 13 : 1452951853
Total Pages : 361 pages
Book Rating : 4.4/5 (529 download)

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Book Synopsis The Language of Nature by : Geoffrey Gorham

Download or read book The Language of Nature written by Geoffrey Gorham and published by U of Minnesota Press. This book was released on 2016-06-15 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies about the implications of mathematization cannot be understood in isolation from broader social developments related to the status and practice of mathematics in various commercial, political, and academic institutions. Contributors: Roger Ariew, U of South Florida; Richard T. W. Arthur, McMaster U; Lesley B. Cormack, U of Alberta; Daniel Garber, Princeton U; Ursula Goldenbaum, Emory U; Dana Jalobeanu, U of Bucharest; Douglas Jesseph, U of South Florida; Carla Rita Palmerino, Radboud U, Nijmegen and Open U of the Netherlands; Eileen Reeves, Princeton U; Christopher Smeenk, Western U; Justin E. H. Smith, U of Paris 7; Kurt Smith, Bloomsburg U of Pennsylvania.

Mathematics and 21st Century Biology

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Publisher : National Academies Press
ISBN 13 : 0309095840
Total Pages : 163 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Mathematics and 21st Century Biology by : National Research Council

Download or read book Mathematics and 21st Century Biology written by National Research Council and published by National Academies Press. This book was released on 2005-07-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systemsâ€" from molecules to ecosystemsâ€"an analysis of cross-cutting themes, and a set of recommendations to advance the mathematics-biology connection that are applicable to all agencies funding research in this area.

How Not to Be Wrong

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Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Mathematics

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis Mathematics by : Charles Davies

Download or read book Mathematics written by Charles Davies and published by . This book was released on 1858 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: