The Geometrical Beauty Of Plants

This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.

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.

Phylogenesis of beauty by Pietro Gaietto is a scientific treatise on the origins and general evolutionary outcome of beauty, from the beginning of the world to the present. Beauty has never before been the object of scientific study, nor has its evolution. Gaietto has integrated human products, including art, into the general evolution of beauty in nature, noting that man's object follow the same rules of evolutionary transformation found in organic and inorganic physical forms. Gaietto's hypothesis on the transformation of beauty concerns all the kingdoms of nature as they have appeared in chronological order from the earliest geological ages, and as discovered by geologists, paleontologists, and paletnologists. The book's scientific analysis of beauty in human artifacts excludes questions of quality, even if they exist, as well as the idea of ugliness, because man intentionally produces only beautiful things.

This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey results. The goal of the ICDDEA was to promote fruitful collaborations between researchers in the fields of differential and difference equations. All areas of differential and difference equations are represented, with a special emphasis on applications.

Some animals and plants injure or kill millions of people annually, others cause trillions of dollars in property damage and loss. Such harmful species are understandably hated. However, the vast majority of the planet’s millions of species are disliked simply because of how they look and act. This bias is endangering numerous species that play important roles in maintaining both the natural ecosystems and the human economies of the world. In Defense of the World’s Most Despised Species examines the psychological motivations that lead people to make judgments about the attractiveness of species, noting the overwhelming importance of visual cues. It describes in considerable detail the physical and behavioral traits of species that lead us to love or hate them. Full color illustrations throughout present beautiful, charming animals and plants, species that seem loathsome, behavior of people in relation to such divergent species and their characteristics, and numerous explanatory diagrams of relevant biological and psychological phenomena. The aim of this book is to give readers insights into how we humans arrive at biased judgments and to promote the welfare of valuable, albeit sometimes unlovable animals and plants that consequently suffer from discrimination. Many of the ugliest, most disgusting, and feared species, such as vultures, toads, hyenas, sharks, spiders, and even the vast majority of cockroaches, in reality are some of our most valuable friends. Features Theme of the book – human preferences for and against species – is novel, scarcely examined to date. Multidisciplinary analysis, especially psychology, biological conservation science, and ecology, as well as philosophy, agriculture, urban planning, human health, and law. Text is accessible, user-friendly, concise, and well-organized, making numerous complex topics comprehensible, readable not only by specialists, but also by students and the educated layperson. Includes over 2,000 high-quality, entertaining, and informative color figures.

Second part of a larger project exploring the relationship between mathematics and Nature. The first part focused on the geometry of minerals. This book is a visual journey that celebrates the many connections between the organic world and the findings of abstract mathematical sciences throughout history. 52 illustrations & original photographs. Logbook & references.

A beautiful and original book from a renowned thinker and geometrist