Download or read book The Mathematics of Form and Pattern Applied to Plant Phyllotaxis written by James Charles Strickland and published by . This book was released on 1997 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Double Helix of Phyllotaxis written by Boris Rozin and published by BrownWalker Press. This book was released on 2020-08-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to anyone who is in search of beauty in mathematics, and mathematics in the beauty around us. Attempting to combine mathematical rigor and magnificence of the visual perception, the author is presenting the mathematical study of phyllotaxis, the most beautiful phenomenon of the living nature. The distinctive feature of this book is an animation feature that explains the work of mathematical models and the transformation of 3D space. The analysis of the phyllotactic pattern as a system of discrete objects together with the mathematical tools of generalized sequences made it possible to find a universal algorithm for calculating the divergence angle. In addition, it is serving as a new proof of the fundamental theorem of phyllotaxis and analytically confirming well-known formulas obtained intuitively earlier as well as casting some doubts on a few stereotypes existing in mathematical phyllotaxis. The presentation of phyllotaxis morphogenesis as a recursive process allowed the author to formulate the hydraulic model of phyllotaxis morphogenesis and propose a method for its experimental verification. With the help of artificial intelligence, the author offered methodology for the digital measurement of phyllotaxis allowing a transition to a qualitatively new level in the study of plant morphogenesis. Due to the successful combination of mathematical constructions and their visual presentation, the materials of this study are comprehensible to readers with high school advanced mathematical levels.
Download or read book Phyllotactic Patterns A Multidisciplinary Approach written by Denis Barabe and published by World Scientific. This book was released on 2020-04-22 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a current review of the field of phyllotaxis from a variety of perspectives, that is, morphological, developmental, biochemical, molecular genetics, biophysical, and evolutionary.This unique book covers phyllotactic processes from the level of genes involved in the establishment of patterns to modeling the emergence of those patterns in space and time. The models in question (deterministic or stochastic) touch on various fields, including geometry, biochemistry, and biophysics.Not only providing a recent review but also current critique and analysis of the discipline, the book will appeal to a variety of individuals involved in developmental modeling as well as pattern initiation and formation. The text is highly illustrated with excellent pictures representing recent developments in the field.A biological context or perspective to models and ideas is explored in the book. Terminology specific to the discipline is defined and updated as well.
Download or read book The Algorithmic Beauty of Plants written by Przemyslaw Prusinkiewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling.
Download or read book Mathematical Approach to Pattern and Form in Plant Growth written by Roger V. Jean and published by Wiley-Interscience. This book was released on 1984 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Do Plants Know Math written by Stéphane Douady and published by Princeton University Press. This book was released on 2024-09-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery “if you wish to save me from a miserable death.” The legendary naturalist was hardly alone in feeling tormented by these patterns. Plant spirals captured the gaze of Leonardo da Vinci and became Alan Turing’s final obsession. This book tells the stories of the physicists, mathematicians, and biologists who found themselves magnetically drawn to Fibonacci spirals in plants, seeking an answer to why these beautiful and seductive patterns occur in botanical forms as diverse as pine cones, cabbages, and sunflowers. Do Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature. It presents a powerful new geometrical solution, little known outside of scientific circles, that sheds light on why regular and irregular spiral patterns occur. Along the way, the book discusses related plant geometries such as fractals and the fascinating way that leaves are folded inside of buds. Your neurons will crackle as you begin to see the connections. This book will inspire you to look at botanical patterns—and the natural world itself—with new eyes. Featuring hundreds of gorgeous color images, Do Plants Know Math? includes a dozen creative hands-on activities and even spiral-plant recipes, encouraging readers to explore and celebrate these beguiling patterns for themselves.
Download or read book Symmetry In Plants written by Denis Barabe and published by World Scientific. This book was released on 1998-03-26 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters.The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood.Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis.The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis.This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis.
Download or read book Applied Mathematical Ecology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Autumn Course on Mathematical Ecology was held at the Intern ational Centre for Theoretical Physics in Trieste, Italy in November and December of 1986. During the four year period that had elapsed since the First Autumn Course on Mathematical Ecology, sufficient progress had been made in applied mathemat ical ecology to merit tilting the balance maintained between theoretical aspects and applications in the 1982 Course toward applications. The course format, while similar to that of the first Autumn Course on Mathematical Ecology, consequently focused upon applications of mathematical ecology. Current areas of application are almost as diverse as the spectrum covered by ecology. The topiys of this book reflect this diversity and were chosen because of perceived interest and utility to developing countries. Topical lectures began with foundational material mostly derived from Math ematical Ecology: An Introduction (a compilation of the lectures of the 1982 course published by Springer-Verlag in this series, Volume 17) and, when possible, progressed to the frontiers of research. In addition to the course lectures, workshops were arranged for small groups to supplement and enhance the learning experience. Other perspectives were provided through presentations by course participants and speakers at the associated Research Conference. Many of the research papers are in a companion volume, Mathematical Ecology: Proceedings Trieste 1986, published by World Scientific Press in 1988. This book is structured primarily by application area. Part II provides an introduction to mathematical and statistical applications in resource management.
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Download or read book Alan Turing written by S. Barry Cooper and published by Elsevier. This book was released on 2013-03-18 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP, readers will find many of the most significant contributions from the four-volume set of the Collected Works of A. M. Turing. These contributions, together with commentaries from current experts in a wide spectrum of fields and backgrounds, provide insight on the significance and contemporary impact of Alan Turing's work. Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work. - 2013 winner of the prestigious R.R. Hawkins Award from the Association of American Publishers, as well as the 2013 PROSE Awards for Mathematics and Best in Physical Sciences & Mathematics, also from the AAP - Named a 2013 Notable Computer Book in Computing Milieux by Computing Reviews - Affordable, key collection of the most significant papers by A.M. Turing - Commentary explaining the significance of each seminal paper by preeminent leaders in the field - Additional resources available online
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 Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
Download or read book Phyllotaxis Models written by Jean-Paul Walch and published by John Wiley & Sons. This book was released on 2023-07-13 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations of phyllotaxis were discovered by Douady and Couder: these describe the inhibition "force" generated by an incipient primordium, preventing the initiation of other primordia in its vicinity: the method that was lacking was to take into account the distance of primordia to the meristem apex over the course of its development. With these parameters, our model integrates both biochemical "forces" (inhibition due to auxin) and mechanical forces (contact pressure). This powerful tool allows us to revisit many important notions of plant biology. For example, we model auxin concentrations at the plant apex, as well as the development of vegetative and reproductive meristems. We also explain why the whorls of monocots are trimerous and those of plants with quincuncial perianths are pentamerous. We design a geometric method for reconstructing inflorescences from their building blocks, i.e. floral meristems. We also show that phyllotaxic spirals are only the application of a general property of symmetry, the advantages of which have been exploited by natural selection.
Download or read book Essays on Form in Plants written by Claude Wilson Wardlaw and published by Manchester University Press. This book was released on 1968 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Significant Figures written by Ian Stewart and published by Basic Books. This book was released on 2017-09-12 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians In Significant Figures, acclaimed mathematician Ian Stewart explores the work of 25 of history's most important mathematicians, showing how they developed on each other's work and built the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics from Archimedes to William Thurston, and learn about those too often left out of the cannon, such as Muhammad ibn Musa al-Khwarizmi, the creator of algebra; Ada Lovelace, the world's first computer programmer; and Emmy Noether, whose research on symmetry paved the way for modern physics. Tracing the evolution of mathematics over the course of two millennia, Significant Figures will educate and delight aspiring mathematicians and experts alike.
Download or read book Resurgence written by and published by . This book was released on 2007 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermodynamics and Pattern Formation in Biology written by Ingolf Lamprecht and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Thermodynamics and Pattern Formation in Biology".
