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Handbook of the History and Philosophy of Mathematical Practice

Edited by Bharath Sriraman ...

Series series Reference Module Computer Science and Engineering
The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. ... Read more

$1,439.99 USD

The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed.
... Read more
Handbook of Visual, Experimental and Computational Mathematics

Bridges through Data

Edited by Bharath Sriraman ...

Series series Reference Module Computer Science and Engineering
This Handbook examines the interaction of visual, computational and experimental approaches in modern mathematics through its interaction with data. Experimental mathematics made the first bold foray into using computational techniques to solve theoretical problems via data saturation and visualizations. Since computing power and powerful algorithms have changed the landscape of visualizing and ... Read more

$764.99 USD

This Handbook examines the interaction of visual, computational and experimental approaches in modern mathematics through its interaction with data. Experimental mathematics made the first bold foray into using computational techniques to solve theoretical problems via data saturation and visualizations. Since computing power and powerful algorithms have changed the landscape of visualizing and
... Read more

The Logic of Scientific Discovery

by Karl Popper ...

Series series Routledge Classics
Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as ... Read more

$40.99 USD

Also available as: Audiobook

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as
... Read more

Also available as: Audiobook
Aristotle's Revenge

The Metaphysical Foundations of Physical and Biological Science

by Edward Feser ...

Actuality and potentiality, substantial form and prime matter, efficient causality and teleology are among the fundamental concepts of Aristotelian philosophy of nature. Aristotle's Revenge argues that these concepts are not only compatible with modern science, but are implicitly presupposed by modern science. Among the many topics covered are the metaphysical presuppositions of scientific method; ... Read more

$22.99 USD

Actuality and potentiality, substantial form and prime matter, efficient causality and teleology are among the fundamental concepts of Aristotelian philosophy of nature. Aristotle's Revenge argues that these concepts are not only compatible with modern science, but are implicitly presupposed by modern science. Among the many topics covered are the metaphysical presuppositions of scientific method;
... Read more
Proofs and Refutations

The Logic of Mathematical Discovery

by Imre Lakatos ...

Series series Cambridge Philosophy Classics
Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of ... Read more

$23.99 USD

Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of
... Read more
Why Is There Philosophy of Mathematics At All?

by Ian Hacking ...

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both ... Read more

$28.99 USD

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both
... Read more
Circles Disturbed

The Interplay of Mathematics and Narrative

Edited by Apostolos Doxiadis, Barry Mazur ...

Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different ... Read more

$55.49 USD

Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different
... Read more
The Real Numbers

An Introduction to Set Theory and Analysis

by John Stillwell ...

Series series Mathematics and Statistics (R0)
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory—uncountability, the ... Read more

$28.99 USD

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory—uncountability, the
... Read more
Scientific Representation

Paradoxes of Perspective

by Bas C. van Fraassen ...

Bas C. van Fraassen presents an original exploration of how we represent the world. Science represents natural phenomena by means of theories, as well as in many concrete ways by such means as pictures, graphs, table-top models, and computer simulations. Scientific Representation begins with an inquiry into the nature of representation in general, drawing on such diverse sources as Plato's ... Read more

$28.99 USD

Bas C. van Fraassen presents an original exploration of how we represent the world. Science represents natural phenomena by means of theories, as well as in many concrete ways by such means as pictures, graphs, table-top models, and computer simulations. Scientific Representation begins with an inquiry into the nature of representation in general, drawing on such diverse sources as Plato's
... Read more
A Companion to the Philosophy of Time

Edited by Adrian Bardon, Heather Dyke ...

Series Book 154 - Blackwell Companions to Philosophy
A Companion to the Philosophy of Time presents the broadest treatment of this subject yet; 32 specially commissioned articles - written by an international line-up of experts – provide an unparalleled reference work for students and specialists alike in this exciting field.The most comprehensive reference work on the philosophy of time currently availableThe first collection to tackle the ... Read more

$50.00 USD

A Companion to the Philosophy of Time presents the broadest treatment of this subject yet; 32 specially commissioned articles - written by an international line-up of experts – provide an unparalleled reference work for students and specialists alike in this exciting field.The most comprehensive reference work on the philosophy of time currently availableThe first collection to tackle the
... Read more
Interpreting Gödel

Critical Essays

Edited by Juliette Kennedy ...

The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results ... Read more

$30.99 USD

The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results
... Read more
Problems And Solutions In Real Analysis (Second Edition)

by Masayoshi Hata ...

Series Book 14 - Series On Number Theory And Its Applications
This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, ... Read more

$34.99 USD

This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers,
... Read more

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Reference Module Computer Science and Engineering eBook Series

Handbook of the History and Philosophy of Mathematical Practice

Handbook of Visual, Experimental and Computational Mathematics

People who read these also enjoyed

The Logic of Scientific Discovery

Aristotle's Revenge

Proofs and Refutations

Why Is There Philosophy of Mathematics At All?

Circles Disturbed

The Real Numbers

Scientific Representation

A Companion to the Philosophy of Time

Interpreting Gödel

Problems And Solutions In Real Analysis (Second Edition)

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