Roads to Infinity

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Author :
Publisher : CRC Press
ISBN 13 : 1439865507
Total Pages : 202 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Roads to Infinity by : John Stillwell

Download or read book Roads to Infinity written by John Stillwell and published by CRC Press. This book was released on 2010-07-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

Experimentation in Mathematics

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Publisher : CRC Press
ISBN 13 : 1439864195
Total Pages : 372 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Experimentation in Mathematics by : Jonathan M. Borwein

Download or read book Experimentation in Mathematics written by Jonathan M. Borwein and published by CRC Press. This book was released on 2004-04-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of

Calculus for Everyone

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Publisher :
ISBN 13 : 9781944482541
Total Pages : 0 pages
Book Rating : 4.4/5 (825 download)

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Book Synopsis Calculus for Everyone by : Mitch Stokes

Download or read book Calculus for Everyone written by Mitch Stokes and published by . This book was released on 2020-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for only two kinds of people: those who are interested in science and math, and those who aren't. And so, motivated by this powerful idea, Calculus for Everyone presents the mathematics of change in an extremely effective way for anyone with a first-year course in algebra. Yet it does so without dumbing calculus down. In fact, Calculus for Everyone is not only for students who would have never dreamt of taking calculus, it is also for those who have already taken a standard calculus course, as well as for those who will go on to take such a course Based on more than a decade of classroom experience, this book provides mastery of calculus's core by focusing on the foundational concepts of limits, derivatives, and integrals, explaining how all three are united in the fundamental theorem of calculus. Moreover, Calculus for Everyone explains how the story of calculus is central to Western culture, from Plato in ancient Greece, to today's modern physics. Indeed, this book explains why calculus is needed at all-and why it is needed so badly. By mastering the core of calculus-as well as seeing its meaning and significance-students will not only better understand math and science in general, but contemporary culture and their place in it.

History of Mathematics: Highways and Byways

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Publisher : American Mathematical Soc.
ISBN 13 : 1470457466
Total Pages : 330 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis History of Mathematics: Highways and Byways by : Amy Dahan-Dalmedico

Download or read book History of Mathematics: Highways and Byways written by Amy Dahan-Dalmedico and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math Road Trip

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Author :
Publisher : Routledge
ISBN 13 : 9781618210463
Total Pages : 0 pages
Book Rating : 4.2/5 (14 download)

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Book Synopsis Math Road Trip by : Richard G. Cote

Download or read book Math Road Trip written by Richard G. Cote and published by Routledge. This book was released on 2013-06-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Math Road Trip, students learn about the concepts of addition, subtraction, multiplication, and division of fractions and decimals, explore ratio and proportion, and investigate scale drawing and rate problems as they plan the ultimate vacation for their families. The Interactive Discovery-Based Units for High-Ability Learners, for grades 6-8, provides teachers with opportunities to use exciting and challenging units in their classrooms. These engaging curriculum units culminate in authentic performance situations that provide students with open-ended opportunities to demonstrate academic understanding. Each book in the series contains tiered lessons that teachers can easily modify to meet individual students' needs. Grades 6-8

Journal

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Publisher :
ISBN 13 :
Total Pages : 802 pages
Book Rating : 4.6/5 (338 download)

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Book Synopsis Journal by : Indian Mathematical Society

Download or read book Journal written by Indian Mathematical Society and published by . This book was released on 1912 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lebesgue Integration on Euclidean Space

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Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763717087
Total Pages : 626 pages
Book Rating : 4.7/5 (17 download)

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Book Synopsis Lebesgue Integration on Euclidean Space by : Frank Jones

Download or read book Lebesgue Integration on Euclidean Space written by Frank Jones and published by Jones & Bartlett Learning. This book was released on 2001 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'Lebesgue Integration on Euclidean Space' contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented" --

The Road to Reality

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Publisher : Vintage
ISBN 13 : 0593315308
Total Pages : 1136 pages
Book Rating : 4.5/5 (933 download)

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Book Synopsis The Road to Reality by : Roger Penrose

Download or read book The Road to Reality written by Roger Penrose and published by Vintage. This book was released on 2021-06-09 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: **WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

Mathematics Form and Function

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Publisher : Springer Science & Business Media
ISBN 13 : 1461248728
Total Pages : 486 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics Form and Function by : Saunders MacLane

Download or read book Mathematics Form and Function written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.

Roads

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Publisher : Cornell University Press
ISBN 13 : 0801456452
Total Pages : 262 pages
Book Rating : 4.8/5 (14 download)

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Book Synopsis Roads by : Penny Harvey

Download or read book Roads written by Penny Harvey and published by Cornell University Press. This book was released on 2015-11-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roads matter to people. This claim is central to the work of Penny Harvey and Hannah Knox, who in this book use the example of highway building in South America to explore what large public infrastructural projects can tell us about contemporary state formation, social relations, and emerging political economies.Roads focuses on two main sites: the interoceanic highway currently under construction between Brazil and Peru, a major public/private collaboration that is being realized within new, internationally ratified regulatory standards; and a recently completed one-hundred-kilometer stretch of highway between Iquitos, the largest city in the Peruvian Amazon, and a small town called Nauta, one of the earliest colonial settlements in the Amazon. The Iquitos-Nauta highway is one of the most expensive roads per kilometer on the planet.Combining ethnographic and historical research, Harvey and Knox shed light on the work of engineers and scientists, bureaucrats and construction company officials. They describe how local populations anticipated each of the road projects, even getting deeply involved in questions of exact routing as worries arose that the road would benefit some more than others. Connectivity was a key recurring theme as people imagined the prosperity that will come by being connected to other parts of the country and with other parts of the world. Sweeping in scope and conceptually ambitious, Roads tells a story of global flows of money, goods, and people—and of attempts to stabilize inherently unstable physical and social environments.

Circles Disturbed

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Publisher : Princeton University Press
ISBN 13 : 1400842689
Total Pages : 593 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Circles Disturbed by : Apostolos Doxiadis

Download or read book Circles Disturbed written by Apostolos Doxiadis and published by Princeton University Press. This book was released on 2012-03-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

Problem-Solving Strategies

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Journey through Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387921540
Total Pages : 479 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Journey through Mathematics by : Enrique A. González-Velasco

Download or read book Journey through Mathematics written by Enrique A. González-Velasco and published by Springer Science & Business Media. This book was released on 2011-08-08 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.

The Aeneid Workbook - Old Western Culture

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Publisher :
ISBN 13 : 9780989702867
Total Pages : pages
Book Rating : 4.7/5 (28 download)

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Book Synopsis The Aeneid Workbook - Old Western Culture by : Callihan Wesley

Download or read book The Aeneid Workbook - Old Western Culture written by Callihan Wesley and published by . This book was released on 2014-12-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Royal Road to Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642192254
Total Pages : 365 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A Royal Road to Algebraic Geometry by : Audun Holme

Download or read book A Royal Road to Algebraic Geometry written by Audun Holme and published by Springer Science & Business Media. This book was released on 2011-10-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

The Mathematics Enthusiast

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Author :
Publisher : IAP
ISBN 13 : 1681232588
Total Pages : 482 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis The Mathematics Enthusiast by : Bharath Sriraman

Download or read book The Mathematics Enthusiast written by Bharath Sriraman and published by IAP. This book was released on 2015-10-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.

Bridge to Abstract Mathematics

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470453029
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Bridge to Abstract Mathematics by : Ralph W. Oberste-Vorth

Download or read book Bridge to Abstract Mathematics written by Ralph W. Oberste-Vorth and published by American Mathematical Society. This book was released on 2020-02-20 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.