Mathematics category: 12022 books
Godel's Mistake
The Role of Meaning in Mathematics
Language: English
Release Date: November 16, 2014
Gödel's incompleteness theorem is a foundational result in mathematics that proves that any axiomatic theory of numbers will be either inconsistent or incomplete. Turing’s Halting problem is a foundational result in computing proving that computers cannot know if a program will halt. Gödel’s...
by Paul McNamara
Language: English
Release Date: June 2, 2018
Language: English
Release Date: June 2, 2018
The Derivation of Mathematics is a logical, sequential and easy-to-learn introduction to Secondary School Mathematics for students, teachers and parents. The book begins by demonstrating that elementary Arithmetic that students learn in Primary School is a model of the Physical Counting System that...
by Morris Kline
Language: English
Release Date: April 15, 2013
Language: English
Release Date: April 15, 2013
Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these—the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining...
by
Language: English
Release Date: March 8, 2004
Language: English
Release Date: March 8, 2004
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of...
by Kim Plofker
Language: English
Release Date: December 29, 2008
Language: English
Release Date: December 29, 2008
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the...
Mathematics of Energy and Climate Change
International Conference and Advanced School Planet Earth, Portugal, March 21-28, 2013
Language: English
Release Date: July 29, 2015
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and...
Learning Over Time
Learning Trajectories in Mathematics Education
Language: English
Release Date: June 1, 2014
The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics—how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings—and how to use these insights to...
Mathematics and the Divine
A Historical Study
Language: English
Release Date: December 9, 2004
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and...
Mathematics and Computing
ICMC, Haldia, India, January 2015
Language: English
Release Date: June 25, 2015
This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference...
by Ulianov Montano
Language: English
Release Date: December 20, 2013
Language: English
Release Date: December 20, 2013
This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes...
Mathematics and Its Applications
A Transcendental-Idealist Perspective
Language: English
Release Date: August 22, 2017
This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism.
The...
Relatively and Philosophically Earnest
Festschrift in honor of Paul Ernest's 65th Birthday
Language: English
Release Date: October 1, 2009
Paul Ernest’s name is synonymous with social constructivism as a philosophy of mathematics. His contributions to mathematics education have occurred at a very fundamental level and to a extent shaped theory development in this field. His research addresses fundamental questions about the nature...
Ibn al-Haytham and Analytical Mathematics
A History of Arabic Sciences and Mathematics Volume 2
Language: English
Release Date: May 2, 2013
This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of...
by Auguste Comte
Language: English
Release Date: August 12, 2016
Language: English
Release Date: August 12, 2016
The philosophy of mathematics by the French philosopher,Auguste Comte.He is sometimes regarded as the first philosopher of science in the modern sense of the term.The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of...