Mathematics Ideas And The Physical Real
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Mathematics Ideas And The Physical Real
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Author : Albert Lautman
language : en
Publisher: A&C Black
Release Date : 2011-06-02
Mathematics Ideas And The Physical Real written by Albert Lautman and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Mathematics Ideas And The Physical Real
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Author : Albert Lautman
language : en
Publisher: A&C Black
Release Date : 2011-06-02
Mathematics Ideas And The Physical Real written by Albert Lautman and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.
Topics In Physical Mathematics
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Author : Kishore Marathe
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-09
Topics In Physical Mathematics written by Kishore Marathe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-09 with Mathematics categories.
As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
The World Of Mathematics
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Author : James Roy Newman
language : en
Publisher: Courier Corporation
Release Date : 2000-09-18
The World Of Mathematics written by James Roy Newman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-18 with Mathematics categories.
Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).
Rediscovering L On Brunschvicg S Critical Idealism
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Author : Pietro Terzi
language : en
Publisher: Bloomsbury Publishing
Release Date : 2022-01-13
Rediscovering L On Brunschvicg S Critical Idealism written by Pietro Terzi and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Mathematics categories.
Léon Brunschvicg's contribution to philosophical thought in fin-de-siècle France receives full explication in the first English-language study on his work. Arguing that Brunschvicg is crucial to understanding the philosophical schools which took root in 20th-century France, Pietro Terzi locates Brunschvicg alongside his contemporary Henri Bergson, as well as the range of thinkers he taught and influenced, including Lévinas, Merleau-Ponty, de Beauvoir, and Sartre. Brunschvicg's deep engagement with debates concerning spiritualism and rationalism, neo-Kantian philosophy, and the role of mathematics in philosophy made him the perfect supervisor for a whole host of nascent philosophical ideas which were forming in the work of his students. Terzi outlines Brunchvicg's defence of neo-Kantian judgement, historical analysis and the inextricability of the natural and humanist sciences to any rigorous system of philosophy, with wide-ranging implications for contemporary scholarship.
Gilles Deleuze And Metaphysics
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Author : Alain Beaulieu
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2014-12-24
Gilles Deleuze And Metaphysics written by Alain Beaulieu and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-24 with Philosophy categories.
Deleuze remains indifferent to the ambient pathos related to the end of metaphysics and compares the undertakings of destruction, overcoming and deconstruction of metaphysics with the gestures of murderers. He considers himself “a pure metaphysician,” which is rather unique in the contemporary philosophical landscape. What are we to make of this and similar claims? What do they mean in light of the effort made during the last several centuries to overcome, overturn, destroy, or deconstruct metaphysics? If we consider Deleuze’s work more closely, might find him engaging in the kind of thinking that is commonly referred to as metaphysical? And if Deleuze is indeed a metaphysician, does this undercut the many insightful contributions of the twentieth century philosophers who dedicate their thought to bringing down Western metaphysical tradition? Or does it suggest that there is a sense of metaphysics that should nevertheless be preserved? These and similar questions are addressed in this volume by a series of international scholars. The goal of the book is to critically engage an aspect of Deleuze’s thought that, for the most part, has been neglected, and to understand better his “immanent metaphysics.” It also seeks to explore the consequences of such an engagement.
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
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Author : George Lakoff
language : en
Publisher:
Release Date : 2000-11-02
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Mathematics categories.
A study of the cognitive science of mathematical ideas.
Deleuze And The History Of Mathematics
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Author : Simon Duffy
language : en
Publisher: Bloomsbury Publishing
Release Date : 2013-05-09
Deleuze And The History Of Mathematics written by Simon Duffy and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Philosophy categories.
Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
A Practical Guide To Transforming Primary Mathematics
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Author : Mike Askew
language : en
Publisher: Routledge
Release Date : 2015-07-30
A Practical Guide To Transforming Primary Mathematics written by Mike Askew and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Education categories.
A Practical Guide to Transforming Primary Mathematics offers inspiration and ideas for all training and practising teachers committed to making mathematics enjoyable, inclusive, engaging and successful. The companion to Mike Askew’s bestselling book, Transforming Primary Mathematics, this practical guide focuses on showing you how to unlock the powerful potential of a small set of consistent principles and practices, known as the teaching tripod, to develop a coherent approach to teaching mathematics. Organised around the major strands of the curriculum - number, calculations, shape and space, measures, and data handling – it offers an accessible introduction to the teaching tripod, a careful choice of tasks, supported by a range of tools that extend our natural abilities and held together by careful attention to classroom talk. A range of classroom tasks, each including key learning outcomes, clear links to the framework, links to relevant research, and suggestions for making the tasks easier or harder, are offered for every topic, helping you plan units of work for meaningful learning. A Practical Guide to Transforming Primary Mathematics offers all teachers a vision, rationale and ideas for how teaching can support better learning of mathematics but also encourage learners to see themselves as being capable of learning mathematics, and wanting to learn it.
Quantum Theory For Mathematicians
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Author : Brian C. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-19
Quantum Theory For Mathematicians written by Brian C. Hall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-19 with Science categories.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.