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Adventures In Mathematical Reasoning
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Book Synopsis Adventures in Mathematical Reasoning by : Sherman Stein
Download or read book Adventures in Mathematical Reasoning written by Sherman Stein and published by Courier Dover Publications. This book was released on 2016-07-19 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Adventures in Mathematical Reasoning by : Sherman Stein
Download or read book Adventures in Mathematical Reasoning written by Sherman Stein and published by Courier Dover Publications. This book was released on 2016-09-21 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Reasoning: The History and Impact of the DReaM Group by : Gregory Michaelson
Download or read book Mathematical Reasoning: The History and Impact of the DReaM Group written by Gregory Michaelson and published by Springer Nature. This book was released on 2021-11-20 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Adventures of Mind and Mathematics by : Wolff-Michael Roth
Download or read book Adventures of Mind and Mathematics written by Wolff-Michael Roth and published by Springer. This book was released on 2021-08-25 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Course in Mathematical Logic for Mathematicians by : Yu. I. Manin
Download or read book A Course in Mathematical Logic for Mathematicians written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.
Download or read book Camp Logic written by Mark Saul and published by Natural Math. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a deeper insight into what mathematics is, tapping every child's intuitive ideas of logic and natural enjoyment of games. Simple-looking games and puzzles quickly lead to deeper insights, which will eventually connect with significant formal mathematical ideas as the child grows. This book is addressed to leaders of math circles or enrichment programs, but its activities can fit into regular math classes, homeschooling venues, or situations in which students are learning mathematics on their own. The mathematics contained in the activities can be enjoyed on many levels.
Book Synopsis Molly and the Mathematical Mysteries by : Eugenia Cheng
Download or read book Molly and the Mathematical Mysteries written by Eugenia Cheng and published by Big Picture Press. This book was released on 2021-03-30 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find the clues and lift the flaps on this mathematical mystery! Join Molly as she ventures into a curious world where nothing is quite as it seems. A trail of clues leads from scene to scene, presenting Molly with a number of challenges. But who is leaving the clues, and where will they lead? This interactive mystery shows math isn't just about numbers—it’s about imagination! An explorative and creative approach to the world of mathematics.
Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Thought written by E.W. Beth and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.
Book Synopsis Problem Solving Strategies by : Ken Johnson
Download or read book Problem Solving Strategies written by Ken Johnson and published by . This book was released on 2001 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Math for Life: Crucial Ideas You Didn't Learn in School by :
Download or read book Math for Life: Crucial Ideas You Didn't Learn in School written by and published by Jeffrey Bennett. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Visualization, Explanation and Reasoning Styles in Mathematics by : P. Mancosu
Download or read book Visualization, Explanation and Reasoning Styles in Mathematics written by P. Mancosu and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Pushing Limits written by Ted Hill and published by American Mathematical Soc.. This book was released on 2017-04-03 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pushing Limits: From West Point to Berkeley and Beyond challenges the myth that mathematicians lead dull and ascetic lives. It recounts the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School and the Vietnam War, and survived many civilian escapades—hitchhiking in third-world hotspots, fending off sharks in Bahamian reefs, and camping deep behind the forbidding Iron Curtain. From ultra-conservative West Point in the ’60s to ultra-radical Berkeley in the ’70s, and ultimately to genteel Georgia Tech in the ’80s, this is the tale of an academic career as noteworthy for its offbeat adventures as for its teaching and research accomplishments. It brings to life the struggles and risks underlying mathematical research, the unparalleled thrill of making scientific breakthroughs, and the joy of sharing those discoveries around the world. Hill's book is packed with energy, humor, and suspense, both physical and intellectual. Anyone who is curious about how one maverick mathematician thinks, who wants to relive the zanier side of the ’60s and ’70s, who wants an armchair journey into the third world, or who seeks an unconventional view of several of society's iconic institutions, will be drawn to this book.
Book Synopsis Mathematical Fallacies and Paradoxes by : Bryan Bunch
Download or read book Mathematical Fallacies and Paradoxes written by Bryan Bunch and published by Courier Corporation. This book was released on 2012-10-16 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
Book Synopsis Adventures in Group Theory by : David Joyner
Download or read book Adventures in Group Theory written by David Joyner and published by JHU Press. This book was released on 2008-12-29 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.
Book Synopsis The Adventure of Reason by : Paolo Mancosu
Download or read book The Adventure of Reason written by Paolo Mancosu and published by Oxford University Press. This book was released on 2010-11-18 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paolo Mancosu presents an innovative set of studies of logic and the foundations of mathematics in the first half of the 20th century. He sheds new light on important topics such as the relationship between phenomenology and the exact sciences, the nature of truth and logical consequence, and the nature of mathematical intuition.
Download or read book Analysis I written by Herbert Amann and published by Springer Science & Business Media. This book was released on 2006-03-14 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This textbook provides an outstanding introduction to analysis. It is distinguished by its high level of presentation and its focus on the essential.'' (Zeitschrift für Analysis und ihre Anwendung 18, No. 4 - G. Berger, review of the first German edition) "One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' (W. Grölz, review of the first German edition)
