The Mathematical Century

The Mathematical Century

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  • Author: Piergiorgio Odifreddi
  • Publisher: Princeton University Press
  • ISBN: 0691128057
  • Category : Mathematics
  • Languages : en
  • Pages : 224

The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics. Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.


Mathematics in Twentieth-Century Literature & Art

Mathematics in Twentieth-Century Literature & Art

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  • Author: Robert Tubbs
  • Publisher: Johns Hopkins University Press+ORM
  • ISBN: 1421414023
  • Category : Mathematics
  • Languages : en
  • Pages : 276

The author of What Is a Number? examines the relationship between mathematics and art and literature of the 20th century. During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it coincidence, or were these artists following their instincts, which were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts? In this exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, this book will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art. “Though the content of Tubbs’s book is challenging, it is also accessible and should interest many on both sides of the perceived divide between mathematics and the arts.” —Choice


Social History of Nineteenth Century Mathematics

Social History of Nineteenth Century Mathematics

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  • Author: Mehrtens
  • Publisher: Springer Science & Business Media
  • ISBN: 1468494910
  • Category : Mathematics
  • Languages : en
  • Pages : 307

During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.


New Century Maths 12

New Century Maths 12

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  • Author: Klaas Bootsma
  • Publisher:
  • ISBN: 9780170238977
  • Category : Mathematics
  • Languages : en
  • Pages :

The new Mathematics General syllabus describes two pathways that start in Year 11. Even though both pathways share a common Preliminary course, students taking each pathway have specific learning needs, so we have published two levels of text for both Years 11 and 12. First published in 2001 and revised in 2010, this book has been revised again for the new Mathematics General course beginning in NSW in 2013. This book caters for the Mathematics General 2 HSC course in Year 12, an updated version of the General Mathematics course. It is designed for students heading towards an HSC exam, an ATAR and university studies. This book includes access to the NelsonNet portal of resources and an interactive NelsonNetBook. Select Bonus Resource Downloads to access the PowerPoint presentation a Exploring the new Mathematics General Syllabusa and a summary of course changes written by series editor Robert Yen.


Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita

Leonhardi Euleri Mechanica Sive Motus Scientia Analytice Exposita

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  • Author: Paul Stäckel
  • Publisher: Legare Street Press
  • ISBN: 9781021321268
  • Category :
  • Languages : en
  • Pages : 0

This classic work of mathematical physics by Euler is presented in a clear and accessible new translation by Paul Stäckel. With detailed explanations and rigorous proofs, Euler lays out the principles of classical mechanics and explores the physics of motion in great detail. A must-read for anyone interested in the history and nature of physical science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


New Century Maths

New Century Maths

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  • Author: Colin Skene
  • Publisher: Nelson Australia
  • ISBN: 9780170107914
  • Category : Mathematics
  • Languages : en
  • Pages :

New Century Maths raises the benchmark for mathematics in New South Wales. Each text contains work from a number of stages to accommodate the mixed-ability classroom and to cater for studentsa individual differences. Texts structured in this way encourage flexible teaching and learning plans and truly reflect the intention of an outcomes-based syllabus. To fully cater for a wide range of abilities and needs, each text at years 9 and 10 is published in two versions, stages 5.1/5.2 and stages 5.2/5.3, both providing different pathways of learning. This structure enables students to follow the pathway into the stage 6 mathematics course that best suits their abilities and needs.


Model and Mathematics: From the 19th to the 21st Century

Model and Mathematics: From the 19th to the 21st Century

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  • Author: Michael Friedman
  • Publisher: Birkhäuser
  • ISBN: 9783030978327
  • Category : Mathematics
  • Languages : en
  • Pages : 443

This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.


Five Golden Rules

Five Golden Rules

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  • Author: John Casti
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 264

In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.


New Century Maths 11

New Century Maths 11

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  • Author: Margaret Willard
  • Publisher:
  • ISBN: 9780170238953
  • Category : Mathematics
  • Languages : en
  • Pages : 618

The new Mathematics General syllabus describes two pathways that start in Year 11. Even though both pathways share a common Preliminary course, students taking each pathway have specific learning needs, so we have published two levels of text for both Years 11 and 12. First published in 2000 and revised in 2009, New Century Maths 11 (Pathway 2) has been revised again for the new Mathematics General course commencing in NSW in 2013. This book is produced especially for students who have completed some or all of Stage 5.2(especially in algebra and trigonometry), and are heading towards the Mathematics General 2 HSC course in Year 12, ATAR and university study. This is the more traditional and academic pathway of the updated course. The printed book is supported by an interactive NelsonNetBook version of the text. Students and teachers will have access to a range of useful resources on the password-protected NelsonNet website. To download a sample chapter, a Driving safelya , click the Download Sample Material button. The corresponding Year 12 text, New Century Maths 12 General Mathematics 2 HSC Course, will be available in mid 2013. Please visit www.newcenturymaths.com.au for updates or contact your local sales representative for more details.


Century Maths.

Century Maths.

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  • Author: Pam Buxton
  • Publisher:
  • ISBN: 9780748711307
  • Category : Mathematics
  • Languages : en
  • Pages : 48