Evolution of Mathematical Concepts PDF Download
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Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486490610
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.
Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486490610
Category : Mathematics
Languages : en
Pages : 242
Get Book Here
Book Description
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.
Author: Caleb Everett
Publisher: Harvard University Press
ISBN: 0674504437
Category : Language Arts & Disciplines
Languages : en
Pages : 308
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Book Description
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Author: Ronald L. Numbers
Publisher: Harvard University Press
ISBN: 9780674193123
Category : History
Languages : en
Pages : 228
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Book Description
Focusing on crucial aspects of the history of Darwinism in America, Numbers gets to the heart of American resistance to Darwin's ideas. He provides a much-needed historical perspective on today's quarrels about creationism and evolution--and illuminates the specifically American nature of this struggle.
Author: Olivier Gascuel
Publisher: Oxford University Press
ISBN: 0199208220
Category : Mathematics
Languages : en
Pages : 349
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Book Description
Evolution is a complex process, acting at multiple scales, from DNA sequences and proteins to populations of species. Understanding and reconstructing evolution is of major importance in numerous subfields of biology. For example, phylogenetics and sequence evolution is central to comparative genomics, attempts to decipher genomes, and molecular epidemiology. Phylogenetics is also the focal point of large-scale international biodiversity assessment initiatives such as the 'Tree ofLife' project, which aims to build the evolutionary tree for all extant species.Since the pioneering work in phylogenetics in the 1960s, models have become increasingly sophisticated to account for the inherent complexity of evolution. They rely heavily on mathematics and aim at modelling and analyzing biological phenomena such as horizontal gene transfer, heterogeneity of mutation, and speciation and extinction processes. This book presents these recent models, their biological relevance, their mathematical basis, their properties, and the algorithms to infer them fromdata. A number of subfields from mathematics and computer science are involved: combinatorics, graph theory, stringology, probabilistic and Markov models, information theory, statistical inference, Monte Carlo methods, continuous and discrete algorithmics.This book arises from the Mathematics of Evolution & Phylogenetics meeting at the Mathematical Institute Henri Poincaré, Paris, in June 2005 and is based on the outstanding state-of-the-art reports presented by the conference speakers. Ten chapters - based around five themes - provide a detailed overview of key topics, from the underlying concepts to the latest results, some of which are at the forefront of current research.
Author: Bill Nye
Publisher: Macmillan
ISBN: 1250007135
Category : Religion
Languages : en
Pages : 320
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Book Description
From the host of "Bill Nye the Science Guy" comes an impassioned explanation of how the science of our origins is fundamental to our understanding of the nature of science
Author: Marion Blute
Publisher: Cambridge University Press
ISBN: 1139485113
Category : Science
Languages : en
Pages : 251
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Book Description
Social scientists can learn a lot from evolutionary biology - from systematics and principles of evolutionary ecology to theories of social interaction including competition, conflict and cooperation, as well as niche construction, complexity, eco-evo-devo, and the role of the individual in evolutionary processes. Darwinian sociocultural evolutionary theory applies the logic of Darwinism to social-learning based cultural and social change. With a multidisciplinary approach for graduate biologists, philosophers, sociologists, anthropologists, social psychologists, archaeologists, linguists, economists, political scientists and science and technology specialists, the author presents this model of evolution drawing on a number of sophisticated aspects of biological evolutionary theory. The approach brings together a broad and inclusive theoretical framework for understanding the social sciences which addresses many of the dilemmas at their forefront - the relationship between history and necessity, conflict and cooperation, the ideal and the material and the problems of agency, subjectivity and the nature of social structure.
Author: Steven A. Frank
Publisher: Princeton University Press
ISBN: 0691059349
Category : Psychology
Languages : en
Pages : 283
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Book Description
He unites these with the best of economic thought: a clear theory of model formation and comparative statics, the development of simple methods for analyzing complex problems, and notions of information and rationality. Using this unique, multidisciplinary approach, Frank makes major advances in understanding the foundations of social evolution.
Author: Denis R. Alexander
Publisher: University of Chicago Press
ISBN: 0226608425
Category : Science
Languages : en
Pages : 461
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Book Description
Over the course of human history, the sciences, and biology in particular, have often been manipulated to cause immense human suffering. For example, biology has been used to justify eugenic programs, forced sterilization, human experimentation, and death camps—all in an attempt to support notions of racial superiority. By investigating the past, the contributors to Biology and Ideology from Descartes to Dawkins hope to better prepare us to discern ideological abuse of science when it occurs in the future. Denis R. Alexander and Ronald L. Numbers bring together fourteen experts to examine the varied ways science has been used and abused for nonscientific purposes from the fifteenth century to the present day. Featuring an essay on eugenics from Edward J. Larson and an examination of the progress of evolution by Michael J. Ruse, Biology and Ideology examines uses both benign and sinister, ultimately reminding us that ideological extrapolation continues today. An accessible survey, this collection will enlighten historians of science, their students, practicing scientists, and anyone interested in the relationship between science and culture.
Author: Coloring Concepts Inc.
Publisher: Harper Collins
ISBN: 0062737171
Category : Science
Languages : en
Pages : 386
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Book Description
The completely revised Human Evolution Coloring Book Provides an authoritative, scientific background for understanding the origins of humanity Includes new discoveries and information essential for students of anthropology, primatology, paleontology, comparative anatomy, and genetics Brings together evidence from living primates, fossils, and molecular studies Explains the latest dating methods, including radioactive, paleomagnetic, and molecular clocks Surveys the world of living primates, their ecology, locomotion, diet, behavior, and life histories Clarifies the anatomical and behavioral similarities and differences between ourselves and our closest living relatives, the chimpanzee and the gorilla Resolves some long-standing mysteries about our relationship to the extinct Neanderthals
Author: David Sloan Wilson
Publisher: Delacorte Press
ISBN: 0440336805
Category : Science
Languages : en
Pages : 402
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Book Description
With stories that entertain as much as they inform, renowned evolutionist David Sloan Wilson outlines the basic principles of evolution and shows how, when properly understood, they can illuminate the length and breadth of creation, from the origin of life to the nature of religion. What is the biological reason for gossip? For laughter? For the creation of art? Why do dogs have curly tails? What can microbes tell us about morality? These and many other questions are tackled by Wilson in this witty and groundbreaking new book. Now everyone can move beyond the sterile debates about creationism and intelligent design to share Darwin’s panoramic view of animal and human life, seamlessly connected to each other. Evolution, as Wilson explains, is not just about dinosaurs and human origins, but about why all species behave as they do—from beetles that devour their own young, to bees that function as a collective brain, to dogs that are smarter in some respects than our closest ape relatives. And basic evolutionary principles are also the foundation for humanity’s capacity for symbolic thought, culture, and morality. In example after example, Wilson sheds new light on Darwin’ s grand theory and how it can be applied to daily life. By turns thoughtful, provocative, and daringly funny, Evolution for Everyone addresses some of the deepest philosophical and social issues of this or any age. In helping us come to a deeper understanding of human beings and our place in the world, it might also help us to improve that world.
