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Author : Edna Ernestine Kramer
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.E/5 ( download)
Download or read book The Main Stream of Mathematics written by Edna Ernestine Kramer and published by . This book was released on 1988 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Reuben Hersh
Publisher : Oxford University Press
ISBN 13 : 0198027362
Total Pages : 368 pages
Book Rating : 4.1/5 (98 download)
Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Author : Eberhard Zeidler
Publisher : Oxford University Press
ISBN 13 : 0198507631
Total Pages : 1309 pages
Book Rating : 4.1/5 (985 download)
Download or read book Oxford Users' Guide to Mathematics written by Eberhard Zeidler and published by Oxford University Press. This book was released on 2004-08-19 with total page 1309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.
Author : Edna E. Kramer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)
Download or read book The Main Stream of Mathematics written by Edna E. Kramer and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : PierCarlo Nicola
Publisher : Springer Science & Business Media
ISBN 13 : 366204238X
Total Pages : 516 pages
Book Rating : 4.6/5 (62 download)
Download or read book Mainstream Mathematical Economics in the 20th Century written by PierCarlo Nicola and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: To write everything about nothing, or to write nothing about everything: this is the problem. (Anonym, circa 1996-97) The first idea to write a book on M athematical Economics, more or less ordered in a historical sequence, occurred to me in 1995, when I was asked, by Istituto delta Enciclopedia Italiana, to write the entry "Storia dell'economia 1 2 matematica" , for the collective work "Storia deI XX Secolo". I thought that it would be interesting to elaborate on the text presented to the editors, to turn it into a book aiming at giving a panorama of what, in my opinion, are the main 20th century contributions to mathematical eco nomics. Of course, only a narrow set of the contributions made by economic theorists could be included, both for space limitations and necessity, because 3 of the limited competence of any single author. For instance, I have paid very limited attention to what is now called Macroeconomics, and also to Game Theory, which actually has grown so much as to acquire scientific in dependence as a living branch of applied mathematics. For the same reason, I have also left completely untouched such fields as Mathematical Finance, Public Economics, Theory of Taxation, etc. I have always based my presentation on published material only, assuming that what is contained in working papers still waits to be confirmed, possibly in the first years of the 21th century.
Author : Ron Larson
Publisher : W.H. Freeman
ISBN 13 : 9781464110771
Total Pages : pages
Book Rating : 4.1/5 (17 download)
Download or read book Math and You written by Ron Larson and published by W.H. Freeman. This book was released on 2011-12-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edna Ernestine Kramer
Publisher : Princeton University Press
ISBN 13 : 9780691023724
Total Pages : 790 pages
Book Rating : 4.0/5 (237 download)
Download or read book The Nature and Growth of Modern Mathematics written by Edna Ernestine Kramer and published by Princeton University Press. This book was released on 1982 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Author : Fernando Zalamea
Publisher : National Geographic Books
ISBN 13 : 0956775012
Total Pages : 0 pages
Book Rating : 4.9/5 (567 download)
Download or read book Synthetic Philosophy of Contemporary Mathematics written by Fernando Zalamea and published by National Geographic Books. This book was released on 2012-09-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
Author : Jessica K. Sklar
Publisher : McFarland
ISBN 13 : 0786489944
Total Pages : 355 pages
Book Rating : 4.7/5 (864 download)
Download or read book Mathematics in Popular Culture written by Jessica K. Sklar and published by McFarland. This book was released on 2014-01-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has maintained a surprising presence in popular media for over a century. In recent years, the movies Good Will Hunting, A Beautiful Mind, and Stand and Deliver, the stage plays Breaking the Code and Proof, the novella Flatland and the hugely successful television crime series NUMB3RS all weave mathematics prominently into their storylines. Less obvious but pivotal references to the subject appear in the blockbuster TV show Lost, the cult movie The Princess Bride, and even Tolstoy's War and Peace. In this collection of new essays, contributors consider the role of math in everything from films, baseball, crossword puzzles, fantasy role-playing games, and television shows to science fiction tales, award-winning plays and classic works of literature. Revealing the broad range of intersections between mathematics and mainstream culture, this collection demonstrates that even "mass entertainment" can have a hidden depth.
Author : Saunders Mac Lane
Publisher : Springer Science & Business Media
ISBN 13 : 1475747217
Total Pages : 320 pages
Book Rating : 4.4/5 (757 download)
Download or read book Categories for the Working Mathematician written by Saunders Mac Lane and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Author : Arthur B. Powell
Publisher : SUNY Press
ISBN 13 : 9780791433515
Total Pages : 466 pages
Book Rating : 4.4/5 (335 download)
Download or read book Ethnomathematics written by Arthur B. Powell and published by SUNY Press. This book was released on 1997-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
Author : Barbara Esham
Publisher : Mainstream Connections Pub
ISBN 13 : 9781603364591
Total Pages : pages
Book Rating : 4.3/5 (645 download)
Download or read book Last to Finish a Story about the Smartest Boy in Math Class written by Barbara Esham and published by Mainstream Connections Pub. This book was released on 2014-09-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Max's hopes of becoming an engineer seem unattainable as Max's brain freezes every time he takes a timed math fact test and is teased by the other children. That is until it's discovered that Max understands how math works but just has trouble with memorization. A satisfying resolution does not involve a timer! Part of The Adventures of Everyday Geniuses series.
Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)
Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Author : J. E. K. Sylvester
Publisher :
ISBN 13 : 9780174381334
Total Pages : 208 pages
Book Rating : 4.3/5 (813 download)
Download or read book Mainstream Mathematics written by J. E. K. Sylvester and published by . This book was released on 1981 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)
Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Author : Bob A. Dumas
Publisher : McGraw-Hill Education
ISBN 13 : 9780071106474
Total Pages : 0 pages
Book Rating : 4.1/5 (64 download)
Download or read book Transition to Higher Mathematics written by Bob A. Dumas and published by McGraw-Hill Education. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students who have taken calculus and want to learn what "real mathematics" is.
Author : Conrad Wolfram
Publisher : Wolfram Media
ISBN 13 : 9781579550295
Total Pages : pages
Book Rating : 4.5/5 (52 download)
Download or read book The Math(s) Fix written by Conrad Wolfram and published by Wolfram Media. This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are we all taught maths for years of our lives? Does it really empower everyone? Or fail most and disenfranchise many? Is it crucial for the AI age or an obsolete rite of passage? The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why maths education is in crisis worldwide and how the only fix is a fundamentally new mainstream subject. It argues that today's maths education is not working to elevate society with modern computation, data science and AI. Instead, students are subjugated to compete with what computers do best, and lose. This is the only book to explain why being "bad at maths" may be as much the subject's fault as the learner's: how a stuck educational ecosystem has students, parents, teachers, schools, employers and policymakers running in the wrong direction to catch up with real-world requirements. But it goes further too"¬‚¬"for the first time setting out a completely alternative vision for a core computational school subject to fix the problem and seed more general reformation of education for the AI age.
