Geometric Taxonomy gets closer to the geometries of Carlos Ferrater and OAB that are present in timeless architecture, those that are explicit in the great treatises, those that dazzled us with “the correct and magnificent wise play of forms under the light”, the elemental forms that inspired modernity a hundred years ago.
Geometric Taxonomy gets closer to the geometries of Carlos Ferrater and OAB that are present in timeless architecture, those that are explicit in the great treatises, those that dazzled us with “the correct and magnificent wise play of forms under the light”, the elemental forms that inspired modernity a hundred years ago.
Some of our first encounters with math come through shapes. Geometry skills are learned from an early age, and readers build upon those first geometry lessons with topics like describing objects using the names of shapes, identifying both two-dimensional and three-dimensional shapes, and composing shapes. Readers are able to explore these essential concepts independently through engaging text and colorful images of both new and familiar shapes. Addressing standard K.G.B.5 of the Common Core State Standards for Mathematics, this volume gives readers a detailed look at making shapes from various components. This book should be paired with "Name the Missing Shape" (9781477719640) from the InfoMax Math Readers Program to provide the alternative point of view on the same topic.
Finalist for 2009 The Council on Botanical & Horticultural Libraries Literature Award!A Fresh Look at Taxonomy The most fundamental of all biological sciences, taxonomy underpins any long term strategies for reconstructing the great tree of life or salvaging as much biodiversity as possible. Yet we are still unable to say with any certainty how
This book is devoted to the theory of geometries which are locally Euclidean, in the sense that in small regions they are identical to the geometry of the Euclidean plane or Euclidean 3-space. Starting from the simplest examples, we proceed to develop a general theory of such geometries, based on their relation with discrete groups of motions of the Euclidean plane or 3-space; we also consider the relation between discrete groups of motions and crystallography. The description of locally Euclidean geometries of one type shows that these geometries are themselves naturally represented as the points of a new geometry. The systematic study of this new geometry leads us to 2-dimensional Lobachevsky geometry (also called non-Euclidean or hyperbolic geometry) which, following the logic of our study, is constructed starting from the properties of its group of motions. Thus in this book we would like to introduce the reader to a theory of geometries which are different from the usual Euclidean geometry of the plane and 3-space, in terms of examples which are accessible to a concrete and intuitive study. The basic method of study is the use of groups of motions, both discrete groups and the groups of motions of geometries. The book does not presuppose on the part of the reader any preliminary knowledge outside the limits of a school geometry course.
Classification of plants and animals is of basic interest to biologists in all fields because correct formulation and generalization are based on sound taxonomy. This book by a world authority relates traditional taxonomic studies to developments in biochemical and other fields. It provides guidelines for the integration of modern and traditional methods and explains the underlying principles and philosophy of systematics. The problems of zoological, botanical, and paleontological classifi cation are dealt with in great detail and microbial systematics briefly.
This is an examination of the relationship between classification and evolutionary theory, with reference to the competing schools of taxonomic thinking. Emphasis is placed on one of these schools, the transformed cladists who have attempted to reject all evolutionary thinking in classification and to cast doubt on evolution in general. The author examines the limits to this line of thought from a philosophical and methodological perspective. He concludes that transformed cladistics does not achieve what it claims and that it either implicitly assumes a Platonic World View, or is unintelligible without taking into account evolutionary processes--the very processes it claims to reject. Through this analysis the author attempts to formulate criteria of an objective and consistent nature that can be used to judge competing methodologies and theories. Philosophers of science, zoologists interested in taxonomy, and evolutionary biologists will find this a compelling study.
The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.