A Mathematical Passage

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Passage to Abstract Mathematics

Author : Mark E Watkins
Publisher :
ISBN 13 : 9781793511966
Total Pages : 298 pages
Book Rating : 4.5/5 (119 download)

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Book Synopsis Passage to Abstract Mathematics by : Mark E Watkins

Download or read book Passage to Abstract Mathematics written by Mark E Watkins and published by . This book was released on 2020-08-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Passage to Abstract Mathematics helps students progress from a facility with computational procedures to an understanding of abstract mathematical concepts. Students develop their ability in mathematical communication through reading proofs, constructing proofs, and writing proofs in correct mathematical language. Concise, practical, and highly valuable, the text is ideal for students who have taken lower-division mathematics courses and need the tools requisite to study more advanced, abstract mathematics. The text features material that instructors of upper-level courses in set theory, analysis, topology, and modern algebra presume students have already learned by the time they enter advanced courses. It places emphasis on complete and correct definitions, as well as expressing mathematics in correct syntax. The core material consists of the first five closely knit chapters: Logic, Numbers, Sets, Functions, and Induction. To support active and continuous learning, exercises are embedded within the text material immediately following a definition or theorem. The explanatory comments, hints to solutions, and thought-provoking questions that appear within brackets throughout the text all serve to deepen the student's understanding of the material. In the second edition, the chapter entitled Functions precedes the chapter entitled Induction, and select material has been clarified or corrected. Number theoretic digressions such as Euclid's Algorithm and the Chinese Remainder Theorem have been deleted.

Passage to Abstract Mathematics

Author : Mark E. Watkins
Publisher : Cognella Academic Publishing
ISBN 13 : 9781793530509
Total Pages : pages
Book Rating : 4.5/5 (35 download)

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Book Synopsis Passage to Abstract Mathematics by : Mark E. Watkins

Download or read book Passage to Abstract Mathematics written by Mark E. Watkins and published by Cognella Academic Publishing. This book was released on 2020-08-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Passage to Abstract Mathematics helps students progress from a facility with computational procedures to an understanding of abstract mathematical concepts. Students develop their ability in mathematical communication through reading proofs, constructing proofs, and writing proofs in correct mathematical language. Concise, practical, and highly valuable, the text is ideal for students who have taken lower-division mathematics courses and need the tools requisite to study more advanced, abstract mathematics. The text features material that instructors of upper-level courses in set theory, analysis, topology, and modern algebra presume students have already learned by the time they enter advanced courses. It places emphasis on complete and correct definitions, as well as expressing mathematics in correct syntax. The core material consists of the first five closely knit chapters: Logic, Numbers, Sets, Functions, and Induction. To support active and continuous learning, exercises are embedded within the text material immediately following a definition or theorem. The explanatory comments, hints to solutions, and thought-provoking questions that appear within brackets throughout the text all serve to deepen the student's understanding of the material. In the second edition, the chapter entitled Functions precedes the chapter entitled Induction, and select material has been clarified or corrected. Number theoretic digressions such as Euclid's Algorithm and the Chinese Remainder Theorem have been deleted.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

A Passage to Infinity

Author : George Gheverghese Joseph
Publisher : SAGE Publications Pvt. Limited
ISBN 13 : 9788132101680
Total Pages : 0 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis A Passage to Infinity by : George Gheverghese Joseph

Download or read book A Passage to Infinity written by George Gheverghese Joseph and published by SAGE Publications Pvt. Limited. This book was released on 2009-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.

Passage to Basic Math Classroom Set

Author : Globe Fearon
Publisher : Reston
ISBN 13 : 9780835934954
Total Pages : pages
Book Rating : 4.9/5 (349 download)

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Book Synopsis Passage to Basic Math Classroom Set by : Globe Fearon

Download or read book Passage to Basic Math Classroom Set written by Globe Fearon and published by Reston. This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unknown Quantity

Author : John Derbyshire
Publisher : National Academies Press
ISBN 13 : 030916480X
Total Pages : 390 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Unknown Quantity by : John Derbyshire

Download or read book Unknown Quantity written by John Derbyshire and published by National Academies Press. This book was released on 2006-05-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.

Plato's Mathematical Imagination

Author : Robert Sherrick Brumbaugh
Publisher : Bloomington : Indiana University Press
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Plato's Mathematical Imagination by : Robert Sherrick Brumbaugh

Download or read book Plato's Mathematical Imagination written by Robert Sherrick Brumbaugh and published by Bloomington : Indiana University Press. This book was released on 1954 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Mathematical Passage

Author : David Jackman Whitin
Publisher : Heinemann Educational Books
ISBN 13 : 9780325005065
Total Pages : 0 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis A Mathematical Passage by : David Jackman Whitin

Download or read book A Mathematical Passage written by David Jackman Whitin and published by Heinemann Educational Books. This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you're searching for practical answers to the challenge of inquiry while meeting the demands of covering the curriculum, look no further than A Mathematical Passage. In this book, classroom teacher Robin Cox and university professor David Whitin tell how they devised strategies and activities to nurture the same kind of initiative, voice, and ownership in mathematics that children display in writing their own stories and choosing their own books to read. They offer a wealth of information for teachers who want to make a similar kind of passage toward inquiry in mathematics. Here you will find: lesson plans that outline mathematical content and strategies, as well as important attitudes and dispositions specific connections to NCTM's Principles and Standards for School Mathematics detailed descriptions of ways to build a community of mathematical inquirers strategies for developing and managing a math workshop suggestions for encouraging children to be independent, responsible, and reflective decision makers ways to use math journals to assess children's understandings activities that promote interdisciplinary connections strategies for using conversation to challenge, clarify, justify, and extend mathematical thinking tips on communicating with parents references to manipulatives, children's literature, and real-world applications parallels between the work of children and the work of mathematicians, such as discovering patterns, developing hypotheses, posing and extending problems. Better understand the nature of inquiry learning. Nurture its growth in your own classroom. See how key principles of learning are consistent across the curriculum. Read Whitin and Cox.

A Passage to Modern Analysis

Author : William J. Terrell
Publisher : American Mathematical Soc.
ISBN 13 : 1470451352
Total Pages : 607 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Passage to Modern Analysis by : William J. Terrell

Download or read book A Passage to Modern Analysis written by William J. Terrell and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Passage to Modern Analysis is an extremely well-written and reader-friendly invitation to real analysis. An introductory text for students of mathematics and its applications at the advanced undergraduate and beginning graduate level, it strikes an especially good balance between depth of coverage and accessible exposition. The examples, problems, and exposition open up a student's intuition but still provide coverage of deep areas of real analysis. A yearlong course from this text provides a solid foundation for further study or application of real analysis at the graduate level. A Passage to Modern Analysis is grounded solidly in the analysis of R and Rn, but at appropriate points it introduces and discusses the more general settings of inner product spaces, normed spaces, and metric spaces. The last five chapters offer a bridge to fundamental topics in advanced areas such as ordinary differential equations, Fourier series and partial differential equations, Lebesgue measure and the Lebesgue integral, and Hilbert space. Thus, the book introduces interesting and useful developments beyond Euclidean space where the concepts of analysis play important roles, and it prepares readers for further study of those developments.

Mathematical Masterpieces

Author : Art Knoebel
Publisher : Springer Science & Business Media
ISBN 13 : 0387330623
Total Pages : 346 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Mathematical Masterpieces by : Art Knoebel

Download or read book Mathematical Masterpieces written by Art Knoebel and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486136310
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics and the Physical World by : Morris Kline

Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Dispel Illusion

Author : Mark Lawrence
Publisher : 47north
ISBN 13 : 9781542016322
Total Pages : 0 pages
Book Rating : 4.0/5 (163 download)

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Book Synopsis Dispel Illusion by : Mark Lawrence

Download or read book Dispel Illusion written by Mark Lawrence and published by 47north. This book was released on 2019-12-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sometimes being wrong is the right answer. Nick Hayes's genius is in wringing out the universe's secrets. It's a talent that's allowed him to carve paths through time. But the worst part is that he knows how his story will end. He's seen it with his own eyes. And every year that passes, every breakthrough he makes, brings him a step closer. Mia's accident is waiting for them both in 2011. If it happens then he's out of choices. Then a chance 1992 discovery reveals that this seeker of truth has been lying to himself. But why? It's a question that haunts him for years. A straw he clings to as his long-awaited fate draws near. Time travel turns out not to be the biggest problem Nick has to work on. He needs to find out how he can stay on his path but change the destination. Failure has never been an option, and neither has survival. But Nick's hoping to roll the dice one more time. And this new truth begins with a lie.

First-Passage Percolation on the Square Lattice

Author : R. T. Smythe
Publisher :
ISBN 13 : 9783662167588
Total Pages : 208 pages
Book Rating : 4.1/5 (675 download)

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Book Synopsis First-Passage Percolation on the Square Lattice by : R. T. Smythe

Download or read book First-Passage Percolation on the Square Lattice written by R. T. Smythe and published by . This book was released on 2014-01-15 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pappus of Alexandria and the Mathematics of Late Antiquity

Author : Serafina Cuomo
Publisher : Cambridge University Press
ISBN 13 : 9780521642118
Total Pages : 252 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Pappus of Alexandria and the Mathematics of Late Antiquity by : Serafina Cuomo

Download or read book Pappus of Alexandria and the Mathematics of Late Antiquity written by Serafina Cuomo and published by Cambridge University Press. This book was released on 2000-03-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is at once an analytical study of one of the most important mathematical texts of antiquity, the Mathematical Collection of the fourth-century AD mathematician Pappus of Alexandria, and also an examination of the work's wider cultural setting. An important first chapter looks at the mathematicians of the period and how mathematics was perceived by people at large. The central chapters of the book analyse sections of the Collection, identifying features typical of Pappus's mathematical practice. The final chapter draws together the various threads and presents a fuller description of Pappus's mathematical 'agenda'. This is one of few books to deal extensively with the mathematics of Late Antiquity. It sees Pappus's text as part of a wider context and relates it to other contemporary cultural practices and opens avenues to research into the public understanding of mathematics and mathematical disciplines in antiquity.

Studyguide for Passage to Abstract Mathematics by Watkins, Mark E., ISBN 9780321738639

Author : Cram101 Textbook Reviews
Publisher : Cram101
ISBN 13 : 9781618300911
Total Pages : 152 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Studyguide for Passage to Abstract Mathematics by Watkins, Mark E., ISBN 9780321738639 by : Cram101 Textbook Reviews

Download or read book Studyguide for Passage to Abstract Mathematics by Watkins, Mark E., ISBN 9780321738639 written by Cram101 Textbook Reviews and published by Cram101. This book was released on 2012-08 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780321738639 .

Passage 10-13 - Mathematics (Preliminary)

Author : Trinity Press International
Publisher :
ISBN 13 : 9780340378625
Total Pages : pages
Book Rating : 4.3/5 (786 download)

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Book Synopsis Passage 10-13 - Mathematics (Preliminary) by : Trinity Press International

Download or read book Passage 10-13 - Mathematics (Preliminary) written by Trinity Press International and published by . This book was released on 1993-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Surprising Mathematics of Longest Increasing Subsequences

Author : Dan Romik
Publisher : Cambridge University Press
ISBN 13 : 1107075831
Total Pages : 366 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Surprising Mathematics of Longest Increasing Subsequences by : Dan Romik

Download or read book The Surprising Mathematics of Longest Increasing Subsequences written by Dan Romik and published by Cambridge University Press. This book was released on 2015-02-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a surprising sequence of developments, the longest increasing subsequence problem, originally mentioned as merely a curious example in a 1961 paper, has proven to have deep connections to many seemingly unrelated branches of mathematics, such as random permutations, random matrices, Young tableaux, and the corner growth model. The detailed and playful study of these connections makes this book suitable as a starting point for a wider exploration of elegant mathematical ideas that are of interest to every mathematician and to many computer scientists, physicists and statisticians. The specific topics covered are the Vershik-Kerov-Logan-Shepp limit shape theorem, the Baik-Deift-Johansson theorem, the Tracy-Widom distribution, and the corner growth process. This exciting body of work, encompassing important advances in probability and combinatorics over the last forty years, is made accessible to a general graduate-level audience for the first time in a highly polished presentation.