Evolution of Mathematical Concepts

Evolution of Mathematical Concepts

Author: Raymond L. Wilder

Publisher: Courier Corporation

Published: 2013-01-01

Total Pages: 242

ISBN-13: 0486490610

DOWNLOAD EBOOK

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.


Dynamical Systems and Evolution Equations

Dynamical Systems and Evolution Equations

Author: John A. Walker

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 244

ISBN-13: 1468410369

DOWNLOAD EBOOK

This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, Northwestern University. Most of the students were in their second year of graduate study, and all were familiar with Fourier series, Lebesgue integration, Hilbert space, and ordinary differential equa tions in finite-dimensional space. This book is primarily an exposition of certain methods of topological dynamics that have been found to be very useful in the analysis of physical systems but appear to be well known only to specialists. The purpose of the book is twofold: to present the material in such a way that the applications-oriented reader will be encouraged to apply these methods in the study of those physical systems of personal interest, and to make the coverage sufficient to render the current research literature intelligible, preparing the more mathematically inclined reader for research in this particular area of applied mathematics. We present only that portion of the theory which seems most useful in applications to physical systems. Adopting the view that the world is deterministic, we consider our basic problem to be predicting the future for a given physical system. This prediction is to be based on a known equation of evolution, describing the forward-time behavior of the system, but it is to be made without explicitly solving the equation.


The Development of Mathematics

The Development of Mathematics

Author: E. T. Bell

Publisher: Courier Corporation

Published: 2012-09-11

Total Pages: 657

ISBN-13: 0486152286

DOWNLOAD EBOOK

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.


What is a Mathematical Concept?

What is a Mathematical Concept?

Author: Elizabeth de Freitas

Publisher: Cambridge University Press

Published: 2017-06-22

Total Pages: 301

ISBN-13: 1107134633

DOWNLOAD EBOOK

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?


The Beginnings and Evolution of Algebra

The Beginnings and Evolution of Algebra

Author: Isabella Bashmakova

Publisher: American Mathematical Soc.

Published: 2000-01-15

Total Pages: 199

ISBN-13: 1470457229

DOWNLOAD EBOOK

The elements of algebra were known to the ancient mesopotamians at least 4000 years ago. Today, algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? An illuminating read for historians of mathematics and working algebraists looking into the history of their subject.


A History of Mathematical Notations

A History of Mathematical Notations

Author: Florian Cajori

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 865

ISBN-13: 0486161161

DOWNLOAD EBOOK

This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.


The Rainbow of Mathematics

The Rainbow of Mathematics

Author: Ivor Grattan-Guinness

Publisher: W. W. Norton & Company

Published: 2000

Total Pages: 836

ISBN-13: 9780393320305

DOWNLOAD EBOOK

"For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.


Mathematical Models of Social Evolution

Mathematical Models of Social Evolution

Author: Richard McElreath

Publisher: University of Chicago Press

Published: 2008-09-15

Total Pages: 429

ISBN-13: 0226558282

DOWNLOAD EBOOK

Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.