The Nature and Growth of Modern Mathematics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Nature and Growth of Modern Mathematics PDF full book. Access full book title The Nature and Growth of Modern Mathematics by Edna Ernestine Kramer. Download full books in PDF and EPUB format.
Author: Edna Ernestine Kramer
Publisher: Princeton University Press
ISBN: 9780691023724
Category : Mathematics
Languages : en
Pages : 790
Get Book Here
Book Description
Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Author: Edna Ernestine Kramer
Publisher: Princeton University Press
ISBN: 9780691023724
Category : Mathematics
Languages : en
Pages : 790
Get Book Here
Book Description
Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Author: Stephen Houlgate
Publisher: State University of New York Press
ISBN: 1438407106
Category : Philosophy
Languages : en
Pages : 392
Get Book Here
Book Description
Hegel and the Philosophy of Nature is an important new study of Hegel's profound philosophical account of the natural world. It examines Hegel's alleged idealism, his concepts of space and time, the conception of speculative geometry, his critical engagement with Kant's Metaphysical Foundations of Natural Science, his critique of Newtonian science, his concept of evolution, the notion of Aufhebung, and his infamous theory of planetary objects. The book confirms that, far from being surpassed by nineteenth- and twentieth-century scientific developments, Hegel's philosophy of nature continues to have great significance for our understanding of the natural world. [Contributors include Daniel O. Dahlstrom, Olivier Depré, Mauro Nasti De Vincentis, Brigitte Falkenburg, Cinzia Ferrini, Edward Halper, Errol E. Harris, William Maker, Lawrence S. Stepelevich, Donald Phillip Verene, Kenneth R. Westphal, and Richard Dien Winfield.]
Author: Claudio Pellegrini
Publisher: Springer Science & Business Media
ISBN: 1461505917
Category : Technology & Engineering
Languages : en
Pages : 292
Get Book Here
Book Description
The historical and epistemological reflection on the applications of mathematical techniques to the Sciences of Nature - physics, biology, chemistry, and geology - today generates attention and interest because of the increasing use of mathematical models in all sciences and their high level of sophistication. The goal of the meeting and the papers collected in this proceedings volume is to give physicists, biologists, mathematicians, and historians of science the opportunity to share information on their work and reflect on the and mathematical models are used in the natural sciences today and in way mathematics the past. The program of the workshop combines the experience of those working on current scientific research in many different fields with the historical analysis of previous results. We hope that some novel interdisciplinary, philosophical, and epistemological considerations will follow from the two aspects of the workshop, the historical and the scientific· This proceedings includes papers presented at the meeting and some of the results of the discussions that took place during the workshop. We wish to express our gratitude to Sergio Monteiro for all his work, which has been essential for the successful publication of these proceedings. We also want to thank the editors of Kluwer AcademidPlenum Publishers for their patience and constant help, and in particular Beth Kuhne and Roberta Klarreich. Our thanks to the fallowing institutions: -Amministrazione Comunale di Arcidosso -Comunita Montana del Monte Amiata ·Center for the History of Physics, UCLA -Centre F.
Author: Edna E. Kramer
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Ian Stewart
Publisher: Oxford Paperbacks
ISBN: 0192832026
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour Theorem, Chaos Theory, and fake four-dimensial spaces. See how simple concepts from probability theory shed light on the National Lottery and tell you how to maximize your winnings. Discover howinfinitesimals become respectable, why there are different kinds of infinity, and how to square the circle with the mathematical equivalent of a pair of scissors.
Author: Michael E. Hobart
Publisher: JHU Press
ISBN: 9780801864124
Category : Computers
Languages : en
Pages : 324
Get Book Here
Book Description
A grand intellectual history from clay tablets to Bill Gates. Selected by Choice Magazine as an Outstanding Academic Title The late twentieth century is trumpeted as the Information Age by pundits and politicians alike, and on the face of it, the claim requires no justification. But in Information Ages, Michael E. Hobart and Zachary S. Schiffman challenge this widespread assumption. In a sweeping and captivating history of information technology from the ancient Sumerians to the world of Alan Turing and John von Neumann, the authors show how revolutions in the technology of information storage—from the invention of writing approximately 5,000 years ago to the mathematical models for describing physical reality in the seventeenth and eighteenth centuries to the introduction of computers—profoundly transformed ways of thinking.
Author: Michael E. Hobart
Publisher: Harvard University Press
ISBN: 0674985168
Category : History
Languages : en
Pages : 332
Get Book Here
Book Description
In their search for truth, contemporary religious believers and modern scientific investigators hold many values in common. But in their approaches, they express two fundamentally different conceptions of how to understand and represent the world. Michael E. Hobart looks for the origin of this difference in the work of Renaissance thinkers who invented a revolutionary mathematical system—relational numeracy. By creating meaning through numbers and abstract symbols rather than words, relational numeracy allowed inquisitive minds to vault beyond the constraints of language and explore the natural world with a fresh interpretive vision. The Great Rift is the first book to examine the religion-science divide through the history of information technology. Hobart follows numeracy as it emerged from the practical counting systems of merchants, the abstract notations of musicians, the linear perspective of artists, and the calendars and clocks of astronomers. As the technology of the alphabet and of mere counting gave way to abstract symbols, the earlier “thing-mathematics” metamorphosed into the relational mathematics of modern scientific investigation. Using these new information symbols, Galileo and his contemporaries mathematized motion and matter, separating the demonstrations of science from the linguistic logic of religious narration. Hobart locates the great rift between science and religion not in ideological disagreement but in advances in mathematics and symbolic representation that opened new windows onto nature. In so doing, he connects the cognitive breakthroughs of the past with intellectual debates ongoing in the twenty-first century.
Author: Dennis Sentilles
Publisher: Courier Corporation
ISBN: 0486277585
Category : Mathematics
Languages : en
Pages : 418
Get Book Here
Book Description
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
Author: David Rich
Publisher: Bloomsbury Publishing USA
ISBN: 0313000743
Category : Education
Languages : en
Pages : 266
Get Book Here
Book Description
After critiquing chaos, catastrophe, and complexity theories, showing their limitations in the contemporary era, Rich furthers the development of crisis theory and applies the crisis theory approach to biological and social evolution. Treating evolution in the context of crisis theory, he shows that as evolution is both genetic and social, social evolution is an extension of biological evolution. As physical evolution results from problem solving, social evolution develops from the solving of historically significant problems, bringing about, for instance, the post-World War II era of knowledge. In this context, Rich discusses the problems of our era, with an emphasis on the paradox of industrialization and its consequences for wealthy and poor nations alike. The paradox of industrialization is approached in terms of crisis theory and resolved.
Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9814490512
Category : Mathematics
Languages : en
Pages : 620
Get Book Here
Book Description
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
