Common Sense Mathematics Second Edition

Author : Ethan D. Bolker,Maura B. Mast
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 50,9 Mb
Release : 2021-01-21
Category : Education
ISBN : 9781470461348

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Common Sense Mathematics: Second Edition by Ethan D. Bolker,Maura B. Mast Pdf

Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.

Author : Ethan Bolker
Publisher : Unknown
Page : 640 pages
File Size : 51,7 Mb
Release : 1948-02-05
Category : Electronic
ISBN : 1133610536

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Common Sense Mathematics by Ethan Bolker Pdf

Author : Caleb Gattegno
Publisher : Unknown
Page : 129 pages
File Size : 42,8 Mb
Release : 1974
Category : Mathematics
ISBN : 0878250247

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The Common Sense of Teaching Mathematics by Caleb Gattegno Pdf

"Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience."C. Gattegno

Author : Thomas Q. Sibley
Publisher : American Mathematical Soc.
Page : 478 pages
File Size : 52,9 Mb
Release : 2021-06-08
Category : Education
ISBN : 9781470460303

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Thinking Algebraically: An Introduction to Abstract Algebra by Thomas Q. Sibley Pdf

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Author : Immanuel Kant,James Wesley Ellington
Publisher : Hackett Publishing
Page : 164 pages
File Size : 41,6 Mb
Release : 2001-01-01
Category : Philosophy
ISBN : 0872205932

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Prolegomena to Any Future Metaphysics (Second Edition) by Immanuel Kant,James Wesley Ellington Pdf

This edition of Prolegomena includes Kant's letter of February 1772 to Marcus Herz, a momentous document in which Kant relates the progress of his thinking and announces that he is now ready to present a critique of pure reason.

Author : William Kingdon Clifford
Publisher : Unknown
Page : 249 pages
File Size : 49,5 Mb
Release : 1946
Category : Mathematics
ISBN : OCLC:1086336554

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The Common Sense of the Exact Sciences by William Kingdon Clifford Pdf

Author : Erik T. Mueller
Publisher : Morgan Kaufmann
Page : 516 pages
File Size : 44,9 Mb
Release : 2014-11-11
Category : Computers
ISBN : 9780128016473

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Commonsense Reasoning by Erik T. Mueller Pdf

To endow computers with common sense is one of the major long-term goals of artificial intelligence research. One approach to this problem is to formalize commonsense reasoning using mathematical logic. Commonsense Reasoning: An Event Calculus Based Approach is a detailed, high-level reference on logic-based commonsense reasoning. It uses the event calculus, a highly powerful and usable tool for commonsense reasoning, which Erik Mueller demonstrates as the most effective tool for the broadest range of applications. He provides an up-to-date work promoting the use of the event calculus for commonsense reasoning, and bringing into one place information scattered across many books and papers. Mueller shares the knowledge gained in using the event calculus and extends the literature with detailed event calculus solutions that span many areas of the commonsense world. The Second Edition features new chapters on commonsense reasoning using unstructured information including the Watson system, commonsense reasoning using answer set programming, and techniques for acquisition of commonsense knowledge including crowdsourcing. Understand techniques for automated commonsense reasoning Incorporate commonsense reasoning into software solutions Acquire a broad understanding of the field of commonsense reasoning Gain comprehensive knowledge of the human capacity for commonsense reasoning

Author : Jim Albert
Publisher : American Mathematical Society
Page : 257 pages
File Size : 47,7 Mb
Release : 2022-02-04
Category : Mathematics
ISBN : 9781470469382

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Teaching Statistics Using Baseball by Jim Albert Pdf

Teaching Statistics Using Baseball is a collection of case studies and exercises applying statistical and probabilistic thinking to the game of baseball. Baseball is the most statistical of all sports since players are identified and evaluated by their corresponding hitting and pitching statistics. There is an active effort by people in the baseball community to learn more about baseball performance and strategy by the use of statistics. This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams. Students often have difficulty learning statistics ideas since they are explained using examples that are foreign to the students. The idea of the book is to describe statistical thinking in a context (that is, baseball) that will be familiar and interesting to students. The book is organized using a same structure as most introductory statistics texts. There are chapters on the analysis on a single batch of data, followed with chapters on comparing batches of data and relationships. There are chapters on probability models and on statistical inference. The book can be used as the framework for a one-semester introductory statistics class focused on baseball or sports. This type of class has been taught at Bowling Green State University. It may be very suitable for a statistics class for students with sports-related majors, such as sports management or sports medicine. Alternately, the book can be used as a resource for instructors who wish to infuse their present course in probability or statistics with applications from baseball. The second edition of Teaching Statistics follows the same structure as the first edition, where the case studies and exercises have been replaced by modern players and teams, and the new types of baseball data from the PitchFX system and fangraphs.com are incorporated into the text.

Author : Erik T. Mueller
Publisher : Morgan Kaufmann
Page : 440 pages
File Size : 42,5 Mb
Release : 2006-01-19
Category : Computers
ISBN : UOM:39015063225976

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Commonsense Reasoning by Erik T. Mueller Pdf

To endow computers with common sense is one of the major long-term goals of Artificial Intelligence research. One approach to this problem is to formalize commonsense reasoning using mathematical logic. Commonsense Reasoning is a detailed, high-level reference on logic-based commonsense reasoning. It uses the event calculus, a highly powerful and usable tool for commonsense reasoning, which Erik T. Mueller demonstrates as the most effective tool for the broadest range of applications. He provides an up-to-date work promoting the use of the event calculus for commonsense reasoning, and bringing into one place information scattered across many books and papers. Mueller shares the knowledge gained in using the event calculus and extends the literature with detailed event calculus solutions to problems that span many areas of the commonsense world. Covers key areas of commonsense reasoning including action, change, defaults, space, and mental states. The first full book on commonsense reasoning to use the event calculus. Contextualizes the event calculus within the framework of commonsense reasoning, introducing the event calculus as the best method overall. Focuses on how to use the event calculus formalism to perform commonsense reasoning, while existing papers and books examine the formalisms themselves. Includes fully worked out proofs and circumscriptions for every example.

Author : D.L. Solomon,C.F. Walter
Publisher : Springer Science & Business Media
Page : 247 pages
File Size : 52,7 Mb
Release : 2013-03-13
Category : Mathematics
ISBN : 9783642930577

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Mathematical Models in Biological Discovery by D.L. Solomon,C.F. Walter Pdf

When I was asked to help organize an American Association for the Advancement of Science symposium about how mathematical models have con tributed to biology, I agreed immediately. The subject is of immense importance and wide-spread interest. However, too often it is discussed in biologically sterile environments by "mutual admiration society" groups of "theoreticians", many of whom have never seen, and most of whom have never done, an original scientific experiment with the biolog ical materials they attempt to describe in abstract (and often prejudiced) terms. The opportunity to address the topic during an annual meeting of the AAAS was irresistable. In order to try to maintain the integrity ;,f the original intent of the symposium, it was entitled, "Contributions of Mathematical Models to Biological Discovery". This symposium was organized by Daniel Solomon and myself, held during the 141st annual meeting of the AAAS in New York during January, 1975, sponsored by sections G and N (Biological and Medical Sciences) of the AAAS and the North American Regions of the Biometric Society, and supported by grant BMS 75-0280) from the National Science Foundation. What follows in this volume are papers by nine of the participants who not only felt that they had something to say in a symposium entitled, "Contributions of Mathematical Models to Biological Discovery", but who falso were willing to record their ideas in more detail here.

Author : John Stillwell
Publisher : CRC Press
Page : 291 pages
File Size : 42,8 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9780429998027

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Yearning for the Impossible by John Stillwell Pdf

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.

Author : William Kingdon Clifford
Publisher : Unknown
Page : 306 pages
File Size : 40,6 Mb
Release : 2015-07-20
Category : Mathematics
ISBN : 1331891892

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The Common Sense of the Exact Sciences (Classic Reprint) by William Kingdon Clifford Pdf

Excerpt from The Common Sense of the Exact Sciences In March 1879 Clifford died at Madeira, six years afterwards a posthumous work is for the first time placed before the public. Some explanation of this delay must be attempted in the present preface. The original work as planned by Clifford was to have been entitled The First Principles of the Mathematical Sciences Explained to the Non-Mathematical, and to have contained six chapters, on Number, Space, Quantity, Position, Motion, and Mass respectively. Of the projected work Clifford in the year 1875 dictated the chapters on Number and Space completely, the first portion of the chapter on Quantity, and somewhat later nearly the entire chapter on Motion. The first two chapters were afterwards seen by him in proof, but never fully revised. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : Philip J. Davis
Publisher : CRC Press
Page : 292 pages
File Size : 47,8 Mb
Release : 2006-11-30
Category : Mathematics
ISBN : 9781439864326

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Mathematics & Common Sense by Philip J. Davis Pdf

From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.

Author : David Bressoud
Publisher : American Mathematical Society
Page : 339 pages
File Size : 51,8 Mb
Release : 2022-02-22
Category : Mathematics
ISBN : 9781470469047

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A Radical Approach to Real Analysis by David Bressoud Pdf

In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.

Author : Theodore G. Faticoni
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 52,7 Mb
Release : 2012-04-17
Category : Mathematics
ISBN : 9781118204481

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The Mathematics of Infinity by Theodore G. Faticoni Pdf

Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.