Mathematics category: 12022 books
Unpacking Pedagogy
New Perspectives for Mathematics
Language: English
Release Date: March 1, 2010
This volume represents a serious attempt to understand what it is that structures the pedagogical experience. In that attempt there are two main objectives. One is a theoretical interest that involves examining the issue of the subjectivity of the teacher and exploring how intersubjective negotiations...
by Paul R. Halmos
Language: English
Release Date: April 19, 2017
Language: English
Release Date: April 19, 2017
This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems;...
The Infinite in Mathematics
Logico-mathematical writings
Language: English
Release Date: December 6, 2012
The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's phenomenology of what is known as 'finitism' (also as 'intuitionism' and 'constructivism')...
by Leo Corry
Language: English
Release Date: August 27, 2015
Language: English
Release Date: August 27, 2015
The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans,...
Intuitionistic Proof Versus Classical Truth
The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics
Language: English
Release Date: February 23, 2018
This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism.
The...
by Viktor Moroz
Language: English
Release Date: June 27, 2014
Language: English
Release Date: June 27, 2014
Well known that mathematics and physics have problems in their development. Only one mathematician, Morris Kline, discovered illogicality of development of mathematics. Despite this, he attempted to justify illogicality in math by fruitfulness of usage of mathematics in physics, instead to stay problem...
From Logic to Practice
Italian Studies in the Philosophy of Mathematics
Language: English
Release Date: November 28, 2014
This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy...
by Patrick Suppes
Language: English
Release Date: May 4, 2012
Language: English
Release Date: May 4, 2012
One of the most pressingproblems of mathematics over the last hundred years has been the question: What is a number? One of the most impressive answers has been the axiomatic development of set theory. The question raised is: "Exactly what assumptions, beyond those of elementary logic, are required...
Feferman on Foundations
Logic, Mathematics, Philosophy
Language: English
Release Date: April 4, 2018
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical...
An Aristotelian Realist Philosophy of Mathematics
Mathematics as the Science of Quantity and Structure
Language: English
Release Date: April 9, 2014
Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
by
Language: English
Release Date: August 3, 2010
Language: English
Release Date: August 3, 2010
Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that...
Stochastic Analysis and Applications 2014
In Honour of Terry Lyons
Language: English
Release Date: December 13, 2014
Articles from many of the main contributors to recent progress in stochastic analysis are included in this volume, which provides a snapshot of the current state of the area and its ongoing developments. It constitutes the proceedings of the conference on "Stochastic Analysis and Applications"...
Industrial Mathematics and Complex Systems
Emerging Mathematical Models, Methods and Algorithms
Language: English
Release Date: October 18, 2017
The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government...
L.E.J. Brouwer – Topologist, Intuitionist, Philosopher
How Mathematics Is Rooted in Life
Language: English
Release Date: December 4, 2012
Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and...