Download or read book Selected Mathematical Works written by Lewis Carroll and published by DigiCat. This book was released on 2024-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully crafted ebook: "Selected Mathematical Works: Symbolic Logic + The Game of Logic + Feeding the Mind" is formatted for your eReader with a functional and detailed table of contents. Lewis Carroll wrote several mathematics books. He was mainly interested in using logic diagrams as a pedagogical tool. Symbolic Logic, first published in 1896, contains literally dozens of puzzles. He believed heartily that children would enjoy learning mathematics if they could be enticed by amusing stories and puzzles. The Game of Logic, published in 1897, was intended to teach logic to children. His "game" consisted of a card with two diagrams, together with a set of counters, five grey and four red. The two diagrams were Carroll's version of a two-set and a three-set Venn diagram. A manuscript of a brief lecture Lewis Carroll once gave, Feeding the Mind, discusses the importance of not only feeding the body, but also the mind. Carroll wittily puts forth connections between the diet of the body and mind, and gives helpful tips on how to best digest knowledge in the brain. This essay was originally printed in 1907. Lewis Carroll ((1832-1898) is best known as the author of Alice in Wonderland and Alice Through the Looking Glass. His real name was Charles Dodgson. His father, the Reverend Charles Dodgson, instilled in his son a love of mathematics from an early age. Lewis studied at Oxford, and later taught there as a Mathematics Lecturer.
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: Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“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"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews 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.
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Download or read book Set Theory for the Working Mathematician written by Krzysztof Ciesielski and published by Cambridge University Press. This book was released on 1997-08-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents those methods of modern set theory most applicable to other areas of pure mathematics.
Download or read book Indiscrete Thoughts written by Gian-Carlo Rota and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.
Download or read book The Mathematical World of Charles L Dodgson Lewis Carroll written by Robin Wilson and published by Oxford University Press. This book was released on 2019-02-14 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll. Yet, whilst lauded for his work in children's fiction and his pioneering work in the world of Victorian photography, his everyday job was a lecturer in Mathematics at Christ Church, Oxford University. The Mathematical World of Charles L. Dodgson (Lewis Carroll) explores the academic background behind this complex individual, outlining his mathematical life, describing his writings in geometry, algebra, logic, the theory of voting, and recreational mathematics, before going on to discuss his mathematical legacy. This is the first academic work that collects the research on Dodgson's wide-ranging mathematical achievements into a single practical volume. Much material appears here for the first time, such as Dodgson's personal letters and drawings, as well as the results of recent investigations into the life and work of Dodgson. Complementing this are many illustrations, both historical and explanatory, as well as a full mathematical bibliography of Dodgson's mathematical publications.
Download or read book The Mathematical Works of Bernard Bolzano written by Bernard Bolzano and published by Oxford University Press. This book was released on 2004-12-09 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernard Bolzano (1781-1848, Prague) was an outstanding thinker and reformer, far ahead of his times in many areas, including philosophy, ethics, politics, logic, theology and physics, and mathematics. Aimed at historians of mathematics, philosophy, ethics and logic, this volume contains the first English translations of some of his most significant mathematical writings, which contain the details of many celebrated insights and anticipations: clear topological definitions of various geometric extensions, an effective statement and use of the Cauchy convergence before it appears in Cauchy's work, remarkable results on measurable numbers (a version of real numbers), on functions (the construction of a continuous, non-differentiable function around 1830) and on infinite collections.
Download or read book Mathematical Foundation of Geodesy written by Kai Borre and published by Springer Science & Business Media. This book was released on 2006-09-23 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as trend-setting papers on the theory of adjustment.
Download or read book The Master Book of Mathematical Recreations written by Fred Schuh and published by Courier Dover Publications. This book was released on 2015-11-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.
Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Download or read book Geometry in everyday life written by Karen Morrison and published by Heinemann. This book was released on 2000 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on geometry, this is one of a series exploring issues of interest to children in Africa, and designed to introduce students to reading non-fiction for pleasure and information.
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.
Download or read book The Five Practices in Practice Elementary written by Margaret (Peg) Smith and published by Corwin Press. This book was released on 2019-08-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.
Download or read book Mathematical Games and How to Play Them written by Steven Vajda and published by Courier Corporation. This book was released on 2008-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This refreshingly authoritative look at recreational mathematics illustrates winning strategies that use the methods of algebra, geometry, combinatorics, number theory, graph theory, and other branches of mathematics. Its lucid analyses of the rules and theories of mathematical games include skill-enhancing exercises, plus references, appendixes, and detailed explanations. 1992 edition.
Download or read book The USSR Olympiad Problem Book written by D. O. Shklarsky and published by Courier Corporation. This book was released on 2013-04-15 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.
Download or read book Selected Works of A N Kolmogorov written by A.N. Shiryayev and published by Springer. This book was released on 2012-11-05 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the second of three volumes devoted to the work of one of the most prominent twentieth-century mathematicians. Throughout his mathematical work, A.N. Kolmogorov (1903-1987) showed great creativity and versatility and his wide-ranging studies in many different areas led to the solution of conceptual and fundamental problems and the posing of new, important questions. His lasting contributions embrace probability theory and statistics, the theory of dynamical systems, mathematical logic, geometry and topology, the theory of functions and functional analysis, classical mechanics, the theory of turbulence, and information theory. This second volume contains papers on probability theory and mathematical statistics, and embraces topics such as limit theorems, axiomatics and logical foundations of probability theory, Markov chains and processes, stationary processes and branching processes. The material appearing in each volume was selected by A.N. Kolmogorov himself and is accompanied by short introductory notes and commentaries which reflect upon the influence of this work on the development of modern mathematics. All papers appear in English - some for the first time -- and in chronological order. This volume contains a significant legacy which will find many grateful beneficiaries amongst researchers and students of mathematics and mechanics, as well as historians of mathematics.
Download or read book Selected Papers and Proceedings written by Royal Astronomical Society of Canada and published by . This book was released on 1901 with total page 1502 pages. Available in PDF, EPUB and Kindle. Book excerpt: List of members in volumes for 1892-99, 1901-05.
