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.

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.

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.

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.

50 Years of First-Passage Percolation

Author : Antonio Auffinger
Publisher : American Mathematical Soc.
ISBN 13 : 1470441837
Total Pages : 169 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis 50 Years of First-Passage Percolation by : Antonio Auffinger

Download or read book 50 Years of First-Passage Percolation written by Antonio Auffinger and published by American Mathematical Soc.. This book was released on 2017-12-20 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved. In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.

Passage to Abstract Mathematics

Author : MARK E.;MEYER WATKINS (JEFFREY L.)
Publisher :
ISBN 13 : 9781793530516
Total Pages : 289 pages
Book Rating : 4.5/5 (35 download)

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Book Synopsis Passage to Abstract Mathematics by : MARK E.;MEYER WATKINS (JEFFREY L.)

Download or read book Passage to Abstract Mathematics written by MARK E.;MEYER WATKINS (JEFFREY L.) and published by . This book was released on 2020 with total page 289 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.

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.

Math with Bad Drawings

Author : Ben Orlin
Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

The Nature of Mathematical Knowledge

Author : Philip Kitcher
Publisher : Oxford University Press, USA
ISBN 13 : 0195035410
Total Pages : 300 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis The Nature of Mathematical Knowledge by : Philip Kitcher

Download or read book The Nature of Mathematical Knowledge written by Philip Kitcher and published by Oxford University Press, USA. This book was released on 1984 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.

A Certain Ambiguity

Author : Gaurav Suri
Publisher : Princeton University Press
ISBN 13 : 1400834775
Total Pages : 296 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Certain Ambiguity by : Gaurav Suri

Download or read book A Certain Ambiguity written by Gaurav Suri and published by Princeton University Press. This book was released on 2010-07-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

The Mathematical Theory of Communication

Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 141 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Mathematical Theory of Communication by : Claude E Shannon

Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Circles Disturbed

Author : Apostolos Doxiadis
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.

Spaghetti and Meatballs for All! a Mathematical Story

Author : Marilyn Burns
Publisher : Perfection Learning
ISBN 13 : 9781613837573
Total Pages : 40 pages
Book Rating : 4.8/5 (375 download)

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Book Synopsis Spaghetti and Meatballs for All! a Mathematical Story by : Marilyn Burns

Download or read book Spaghetti and Meatballs for All! a Mathematical Story written by Marilyn Burns and published by Perfection Learning. This book was released on 2008-08 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fun look at area and perimeter, dinnertime becomes a real mess as guests rearrange the carefully placed tables and chairs.

Algebraic Topology

Author : Edwin H. Spanier
Publisher : Springer Science & Business Media
ISBN 13 : 1468493221
Total Pages : 502 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Algebraic Topology by : Edwin H. Spanier

Download or read book Algebraic Topology written by Edwin H. Spanier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.