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Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 0486814114
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.
Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 0486814114
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.
Author: Kris Langman
Publisher: Logic to the Rescue
ISBN: 9781973569039
Category : Juvenile Fiction
Languages : en
Pages : 142
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Book Description
Lost in a fantasy world, Nikki has only logic and science to help her find her way home. Logic to the Rescue is designed to teach kids critical thinking. A combination of fiction and non-fiction, it weaves examples of logical fallacies into a fictional sword-and-sorcery fantasy. Simple examples for testing a hypothesis and setting up experiments in chemistry, physics, and biology are integrated into the plot. The Logic to the Rescue series is a useful addition to a home library for kids ages 10 to 14. The series is designed to kick-start kids' interest in logic, critical thinking, and science through the use of an engrossing story. Mystics and Medicine is the fourth book in the series.
Author: Raymond Nickerson
Publisher: Taylor & Francis
ISBN: 1136945393
Category : Psychology
Languages : en
Pages : 597
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Book Description
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Author: Gregory Michaelson
Publisher: Springer Nature
ISBN: 3030778797
Category : Computers
Languages : en
Pages : 173
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Book Description
This collection of essays examines the key achievements and likely developments in the area of automated reasoning. In keeping with the group ethos, Automated Reasoning is interpreted liberally, spanning underpinning theory, tools for reasoning, argumentation, explanation, computational creativity, and pedagogy. Wider applications including secure and trustworthy software, and health care and emergency management. The book starts with a technically oriented history of the Edinburgh Automated Reasoning Group, written by Alan Bundy, which is followed by chapters from leading researchers associated with the group. Mathematical Reasoning: The History and Impact of the DReaM Group will attract considerable interest from researchers and practitioners of Automated Reasoning, including postgraduates. It should also be of interest to those researching the history of AI.
Author: Wolff-Michael Roth
Publisher: Springer
ISBN: 9783030518110
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.
Author: Paolo Mancosu
Publisher: OUP Oxford
ISBN: 0191021997
Category : Philosophy
Languages : en
Pages : 631
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Book Description
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
Author: Michael Kaplan
Publisher: Penguin
ISBN: 9780143038344
Category : Mathematics
Languages : en
Pages : 340
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Book Description
A compelling journey through history, mathematics, and philosophy, charting humanity’s struggle against randomness Our lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling—reluctantly—for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of man’s millennia-long search for the tools to manage the recurrent but unpredictable—to help us prevent, or at least mitigate, the seemingly random blows of disaster, disease, and injustice. In these pages, we meet the brilliant individuals who developed the first abstract formulations of probability, as well as the intrepid visionaries who recognized their practical applications—from gamblers to military strategists to meteorologists to medical researchers, from blackjack to our own mortality.
Author: Kris Langman
Publisher: Logic to the Rescue
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Sarah Flannery
Publisher: Algonquin Books
ISBN: 9781565123779
Category : Biography & Autobiography
Languages : en
Pages : 364
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Book Description
Originally published in England and cowritten with her father, "In Code" is "a wonderfully moving story about the thrill of the mathematical chase" ("Nature") and "a paean to intellectual adventure" ("Times Educational Supplement"). A memoir in mathematics, it is all about how a girl next door became an award-winning mathematician. photo insert.
Author: P. Mancosu
Publisher: Springer Science & Business Media
ISBN: 1402033354
Category : Mathematics
Languages : en
Pages : 315
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Book Description
In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.
