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Author : Eric A. Lord
Publisher :
ISBN 13 : 9780853127222
Total Pages : 260 pages
Book Rating : 4.1/5 (272 download)
Download or read book The Mathematical Description of Shape and Form written by Eric A. Lord and published by . This book was released on 1984 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefan Hildebrandt
Publisher : Springer Science & Business Media
ISBN 13 : 9780387979915
Total Pages : 370 pages
Book Rating : 4.9/5 (799 download)
Download or read book The Parsimonious Universe written by Stefan Hildebrandt and published by Springer Science & Business Media. This book was released on 1996-07-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some simple universal laws down through the ages has increased our understanding of nature. The Parsimonious Universe looks at examples from the world around us at a non-mathematical, non-technical level to show that nature achieves efficiency by being stingy with the energy it expends.
Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 1984879065
Total Pages : 481 pages
Book Rating : 4.9/5 (848 download)
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author : Saunders MacLane
Publisher : Springer Science & Business Media
ISBN 13 : 1461248728
Total Pages : 486 pages
Book Rating : 4.4/5 (612 download)
Download or read book Mathematics Form and Function written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.
Author : Stefan Hildebrandt
Publisher : Copernicus
ISBN 13 : 9781461224242
Total Pages : 0 pages
Book Rating : 4.2/5 (242 download)
Download or read book The Parsimonious Universe written by Stefan Hildebrandt and published by Copernicus. This book was released on 1996-08-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why does nature prefer some shapes and not others? The variety of sizes, shapes, and irregularities in nature is endless. Skillfully integrating striking full-color illustrations, the authors describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the principles underlying the shape of natural forms. But can one set of laws account for both the symmetry and irregularity as well as the infinite variety of nature's designs? A complete answer to this question is likely never to be discovered. Yet, it is fascinating to see how the search for some simple universal laws down through the ages has increased our understanding of nature. The Parsimonious Universe looks at examples from the world around us at a non-mathematical, non-technical level to show that nature achieves efficiency by being stingy with the energy it expends.
Author : Silvia Biasotti
Publisher : Springer Nature
ISBN 13 : 303179558X
Total Pages : 124 pages
Book Rating : 4.0/5 (317 download)
Download or read book Mathematical Tools for Shape Analysis and Description written by Silvia Biasotti and published by Springer Nature. This book was released on 2022-06-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice. Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spectral Methods for Shape Analysis / Maps and Distances between Spaces / Algebraic Topology and Topology Invariants / Differential Topology and Shape Analysis / Reeb Graphs / Morse and Morse-Smale Complexes / Topological Persistence / Beyond Geometry and Topology / Resources / Bibliography / Authors' Biographies
Author : Christopher Alexander
Publisher : Harvard University Press
ISBN 13 : 9780674627512
Total Pages : 228 pages
Book Rating : 4.6/5 (275 download)
Download or read book Notes on the Synthesis of Form written by Christopher Alexander and published by Harvard University Press. This book was released on 1964 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: "These notes are about the process of design: the process of inventing things which display new physical order, organization, form, in response to function." This book, opening with these words, presents an entirely new theory of the process of design. In the first part of the book, Christopher Alexander discusses the process by which a form is adapted to the context of human needs and demands that has called it into being. He shows that such an adaptive process will be successful only if it proceeds piecemeal instead of all at once. It is for this reason that forms from traditional un-self-conscious cultures, molded not by designers but by the slow pattern of changes within tradition, are so beautifully organized and adapted. When the designer, in our own self-conscious culture, is called on to create a form that is adapted to its context he is unsuccessful, because the preconceived categories out of which he builds his picture of the problem do not correspond to the inherent components of the problem, and therefore lead only to the arbitrariness, willfulness, and lack of understanding which plague the design of modern buildings and modern cities. In the second part, Mr. Alexander presents a method by which the designer may bring his full creative imagination into play, and yet avoid the traps of irrelevant preconception. He shows that, whenever a problem is stated, it is possible to ignore existing concepts and to create new concepts, out of the structure of the problem itself, which do correspond correctly to what he calls the subsystems of the adaptive process. By treating each of these subsystems as a separate subproblem, the designer can translate the new concepts into form. The form, because of the process, will be well-adapted to its context, non-arbitrary, and correct. The mathematics underlying this method, based mainly on set theory, is fully developed in a long appendix. Another appendix demonstrates the application of the method to the design of an Indian village.
Author : Shawn W. Walker
Publisher : SIAM
ISBN 13 : 1611973961
Total Pages : 152 pages
Book Rating : 4.6/5 (119 download)
Download or read book The Shapes of Things written by Shawn W. Walker and published by SIAM. This book was released on 2015-06-25 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many things around us have properties that depend on their shape--for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a "shape variable." This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included.
Author :
Publisher :
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4.:/5 (43 download)
Download or read book Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip Ball
Publisher : OUP Oxford
ISBN 13 : 0191528730
Total Pages : 328 pages
Book Rating : 4.1/5 (915 download)
Download or read book Shapes written by Philip Ball and published by OUP Oxford. This book was released on 2009-03-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns are everywhere in nature - in the ranks of clouds in the sky, the stripes of an angelfish, the arrangement of petals in flowers. Where does this order and regularity come from? It creates itself. The patterns we see come from self-organization. Whether living or non-living, scientists have found that there is a pattern-forming tendency inherent in the basic structure and processes of nature, so that from a few simple themes, and the repetition of simple rules, endless beautiful variations can arise. Part of a trilogy of books exploring the science of patterns in nature, acclaimed science writer Philip Ball here looks at how shapes form. From soap bubbles to honeycombs, delicate shell patterns, and even the developing body parts of a complex animal like ourselves, he uncovers patterns in growth and form in all corners of the natural world, explains how these patterns are self-made, and why similar shapes and structures may be found in very different settings, orchestrated by nothing more than simple physical forces. This book will make you look at the world with fresh eyes, seeing order and form even in the places you'd least expect.
Author :
Publisher : Remedia Publications
ISBN 13 : 9781596398559
Total Pages : 28 pages
Book Rating : 4.3/5 (985 download)
Download or read book Multiplication Word Problems written by and published by Remedia Publications. This book was released on 2006 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dr. Martin Concoyle & G.P. Coatmundi
Publisher : Trafford Publishing
ISBN 13 : 1490723641
Total Pages : 703 pages
Book Rating : 4.4/5 (97 download)
Download or read book The Mathematical Structure of Stable Physical Systems written by Dr. Martin Concoyle & G.P. Coatmundi and published by Trafford Publishing. This book was released on 2014 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.
Author : Vincent D. Duffy
Publisher : Springer
ISBN 13 : 3540733213
Total Pages : 1068 pages
Book Rating : 4.5/5 (47 download)
Download or read book Digital Human Modeling written by Vincent D. Duffy and published by Springer. This book was released on 2007-08-24 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Digital Human Modeling, DHM 2007, held in Beijing, China in July 2007. The papers thoroughly cover the thematic area of digital human modeling, addressing the following major topics: shape and movement modeling and anthropometry, building and applying virtual humans, medical and rehabilitation applications, as well as industrial and ergonomic applications.
Author : V. Capasso (Ed)
Publisher : Società Editrice Esculapio
ISBN 13 : 8874880553
Total Pages : 659 pages
Book Rating : 4.8/5 (748 download)
Download or read book Mathematical Modelling & Computing in Biology and Medicine written by V. Capasso (Ed) and published by Società Editrice Esculapio. This book was released on 2003 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Y. Shih
Publisher : CRC Press
ISBN 13 : 1351834444
Total Pages : 439 pages
Book Rating : 4.3/5 (518 download)
Download or read book Image Processing and Mathematical Morphology written by Frank Y. Shih and published by CRC Press. This book was released on 2017-07-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the development of digital multimedia, the importance and impact of image processing and mathematical morphology are well documented in areas ranging from automated vision detection and inspection to object recognition, image analysis and pattern recognition. Those working in these ever-evolving fields require a solid grasp of basic fundamentals, theory, and related applications—and few books can provide the unique tools for learning contained in this text. Image Processing and Mathematical Morphology: Fundamentals and Applications is a comprehensive, wide-ranging overview of morphological mechanisms and techniques and their relation to image processing. More than merely a tutorial on vital technical information, the book places this knowledge into a theoretical framework. This helps readers analyze key principles and architectures and then use the author’s novel ideas on implementation of advanced algorithms to formulate a practical and detailed plan to develop and foster their own ideas. The book: Presents the history and state-of-the-art techniques related to image morphological processing, with numerous practical examples Gives readers a clear tutorial on complex technology and other tools that rely on their intuition for a clear understanding of the subject Includes an updated bibliography and useful graphs and illustrations Examines several new algorithms in great detail so that readers can adapt them to derive their own solution approaches This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.
Author : B. S. Daya Sagar
Publisher : Springer Nature
ISBN 13 : 3030850404
Total Pages : 1744 pages
Book Rating : 4.0/5 (38 download)
Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.
Author : William R. Gill
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (31 download)
Download or read book Soil Dynamics in Tillage and Traction written by William R. Gill and published by . This book was released on 1967 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
