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Mathematics : History & Philosophy

History & Philosophy eBooks

You have selected the subject of History & Philosophy. The eBooks in this subject are listed below.

RESULTS: 61 to 70 of 100
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Mathematical Knowledge
By: Leng, Mary (ed.); Paseau, Alexander (ed.); Potter, Michael (ed.)
Published by: OUP Oxford

What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. - ;What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the. current state of debate in this fascinating field. - more...

Price: $75.00


Mathematical Logic
By: Gandy, R.O.; Yates, C.E.M.
Published by: North Holland

more...

Price: $165.00


The Mathematical Works of Bernard Bolzano
By: Russ, Steve
Published by: OUP Oxford

Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. - ;Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. These are the primary sources for many of his celebrated insights and anticipations, including: clear topological definitions of various geometric extensions; an effective statement and use of the Cauchy convergence criterion before it appears in Cauchy's work; proofs of the binomial theorem and the intermediate value theorem that are more general and rigorous than previous ones; an impressive theory of measurable numbers (a version of real numbers), a theory of functions including the. construction of a continuous, non-differentiable function (around 1830); and his tantalising conceptual struggles over the possible relationships between infinite collections. Bolzano identified an objective and semantic connection between truths, his so-called 'ground-consequence' relation that imposed a structure on mathematical theories and reflected careful conceptual analysis. This was part of his highly original philosophy of mathematics that appears to be inseparable from his extraordinarily fruitful practical development of mathematics in ways that remain far from being properly understood, and may still be of more...

Price: $394.00


Mathematics and the Aesthetic
By: Sinclair, Nathalie (ed.); Pimm, David (ed.); Higginson, William (ed.)
Published by: Springer

Features essays that explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. This book examines the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge. more...

Price: $64.95


Mathematics and the Roots of Postmodern Thought
By: Tasic, Vladimir
Published by: OUP Oxford

1. Introduction. 2. Around the Cartesian Circuit. 2.1. Imagination. 2.2. Intuition. 2.3. Counting to One. 3. Space Oddity and Linguistic Turn. 4. Wound of Language. 4.1. Being and Time Continuum. 4.2. Language and Will. 5. Beyond the Code. 5.1. Medium of Free Becoming. 5.2. Nonpresence of Identity. 6. The Expired Subject. 6.1. Empire of Signs. 6.2. Mechanical Bride. 7. The Vanishing Author. 8. Say Hello to the Structure Bubble. 8.1. Algebra of Language. 8.2. Functionalism Chic. 9. Don't Think, Look. 9.1. Interpolating the Self. 9.2. Language Games. 9.3. Thermostats "R" Us. 10. Postmodern Enigmas. 10.1. Unspeakable Diffd'erance. 10.2. Dysfunctionalism Chic. Notes. Select Bibliography. Index more...

Price: $29.99


Mathematics Emerging
By: Stedall, Jacqueline
Published by: OUP Oxford

This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. - ;Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Mathematics has an amazingly long and rich history, it has been practised in every society and culture, with written records reaching back in some cases as far as four thousand years. This book will focus on just a small part of the story, in a sense the most recent chapter of it: the. mathematics of western Europe from the sixteenth to the nineteenth centuries. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. Almost every source is given in its. original form, not just in the language in which it was first written, but as far as practicable in the layout and typeface in which it was read by contemporaries.This book is designed to provide mathematics undergraduates with some historical background to the material that is now taught universally to students in their final years at school and the first years at college or university: the core subjects of calculus, analysis, and abstract algebra, along with others such as mechanics,. probability, and number theory. All of these evolved into their present form in a relatively limited area of western Europe from the mid sixteenth century onwards, and it is there that we find the major writings that relate in a recognizable way to contemporary mathematics. - more...

Price: $100.00


Mathematics in Western Culture
By: Kline, Morris
Published by: OUP Oxford

This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life. more...

Price: $26.00


Mediaeval and Renaissance Logic
By: Gabbay, Dov M.; Woods, John
Published by: North Holland

Medieval and Renaissance Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and AI, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas. more...

Price: $230.00


Milestones in Matrix Computation
By: Chan, Raymond (ed.); Greif, Chen (ed.); O'Leary, Dianne (ed.)
Published by: OUP Oxford

The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. Including commentaries by leading experts and a brief biography, this text will be of great interest to students and researchers in numerical analysis and scientific computation. - ;The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems and commentaries for each area are provided by leading experts: Anne Greenbaum, Ake. Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also provided by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief. biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation. - ;This collection of works by Gene H. Golub offers a wonderful insight into his contributions to the mathematical community. - www.zamm-journal.org more...

Price: $150.00


Mr Hopkins' Men
By: Craik, A.D.D.
Published by: Springer London Ltd

Drawing on accounts of life at Cambridge, this book provides readers a glimpse inside its colleges, and charts the evolution of the curriculum and the slow, often reluctant, reforms that led to Cambridge's dominance of British higher education. more...

Price: $129.00


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