Download or read book Mathematics in Nature written by John 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.

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:

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:

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.

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:

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 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book The Nature of Mathematical Knowledge written by San Diego Philip Kitcher Professor of Philosophy University of California and published by Oxford University Press, USA. This book was released on 1983-04-21 with total page 302 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.

Download or read book Dirty Teaching written by Juliet Robertson and published by Crown House Publishing. This book was released on 2014-06-05 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the keys to a happy and creative classroom is getting out of it and this book will give you the confidence to do just that. Drawing on academic research, Juliet explains why learning outdoors is so beneficial and provides plenty of tips and activities to help you to integrate outdoor learning into your teaching practice, providing a broad range of engaging outdoor experiences for your students. There is no need for expensive tools or complicated technologies: all you need is your coat and a passion for learning - oh, and you'd better bring the kids too! Topics covered include: forest schools, learning outside the classroom, outdoor education, nature activities, caring for the environment, play in schools, investigative play, urban outdoor activities, problem solving, creative thinking and strategies for supporting curriculum objectives. For all primary practitioners who want to shake up their usual classroom routine and discover the benefits of teaching outdoors. Dirty Teaching was a finalist in the Non-Fiction People's Book Prize Winter 2014 collection.

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:

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.

Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

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 355 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.

Download or read book Great Ideas of Modern Mathematics Their Nature and Use written by Jagjit Singh and published by Courier Dover Publications. This book was released on 1959 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of the development and structure of the modern mathematics used in contemporary science

Download or read book The Nature and Growth of Modern Mathematics written by Edna Ernestine Kramer and published by Princeton University Press. This book was released on 1982 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.

Download or read book Affect and Mathematics Education written by Markku S. Hannula and published by Springer. This book was released on 2019-06-03 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

Download or read book The Nature of Mathematics written by Karl J. Smith and published by Brooks Cole. This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Karl Smith's loyal customers adopt his book for its clear writing, its coverage of historical topics, selection of topics, level, exercise sets (featuring great applications problems), and emphasis on problem solving. Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just doing problems. Smith's writing style gives students the confidence and ability to function mathematically in their everyday lives. The emphasis on problem solving and estimation, along with numerous in-text study aids, encourages students to understand the concepts while mastering techniques.