Download or read book Zetetics and the Art of Mathematical Enquiry written by Peter Merrotsy and published by Cambridge Scholars Publishing. This book was released on 2023-03-28 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has a rich history from cultures around the world, which can extend and enrich the appreciation and learning of mathematical concepts. This book provides inspiration for mathematics educators by exploring the development of mathematical concepts from historical and cultural perspectives. It will also be of interest to general readers with an interest in mathematics. Each chapter uses original historical material to introduce a mathematical concept that is then explored through new and unusual perspectives. The book presents several new mathematical “discoveries and inventions”, and offers a re-interpretation of traditional approaches to a range of mathematical problems, doing so in a rigorous way. Topics discussed here include numeracy, the abacus, Mesopotamian mathematics, public-key cryptography, Pythagoras’ theorem, the holistic nature of trigonometry, and an introduction to integral calculus, among many others. Throughout is reflected the author’s enthusiastic style of teaching and his entertaining approach to mathematics, serving to highlight active engagement with significant mathematical problems and hands-on modelling to build deep understanding of the concepts.
Download or read book Discovering Mathematics written by A. D. Gardiner and published by Oxford University Press on Demand. This book was released on 1987 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of how one can begin to explore unfamiliar ideas and chance observations, how one can pursue them through various stages until the light begins to dawn, and how this process throws up other questions one might never have thought of.
Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.
Download or read book Joy of Finite Mathematics written by Chris Tsokos and published by Academic Press. This book was released on 2015-09-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: " The Joy of Finite Mathematics: The Language and Art of Math" teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida s CLAST exam or similar core requirements. Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice testContains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. examOptional advanced sections and challenging problems are included for use at the discretion of the instructorOnline resources include PowerPoint Presentations for instructors and a useful student manual "
Download or read book Mathematicians on Creativity written by Peter Borwein and published by Mathematical Association of America. This book was released on 2015-10-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Download or read book The Art of More written by Michael Brooks and published by . This book was released on 2021-08-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Heart of Mathematics written by Edward B. Burger and published by Wiley. This book was released on 2012-12-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors' humor and enthusiasm throughout, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
Download or read book A New English Dictionary on Historical Principles written by James Augustus Henry Murray and published by . This book was released on 1928 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Gentle Art of Mathematics written by Daniel Pedoe and published by . This book was released on 1958 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Analytic Art written by François Viète and published by Courier Corporation. This book was released on 2006-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
Download or read book English Mechanic and Mirror of Science and Art written by and published by . This book was released on 1904 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A new dictionary of the French and English languages compiled from the dictionaries of the French Academy Bescherelle Littr Beaujean Bourguignon etc etc and from the most recent works on arts and sciences written by Ebenezer Clifton and published by . This book was released on 1889 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Illinois Technograph written by and published by . This book was released on 1964 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approaches to Algebra written by N. Bednarz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Download or read book Debunked written by Georges Charpak and published by JHU Press. This book was released on 2004-04-29 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the most scientifically advanced period in human history, belief in the paranormal and the supernatural is alarmingly common. Nobel Prize winner Georges Charpak and physics professor Henri Broch team up to show you the tricks of the trade and sleight of hand that keep astrologers, TV psychics, and spoon benders in business. Using only the simplest of science, the authors explore the effectiveness of horoscopes--the blander the better--and why, with a television audience in the millions, any strange, unlikely prediction is almost certain to come true. Not merely an exposé of magic tricks, this book demonstrates how pseudoscientists use science, statistics, and psychology to bamboozle an audience--sometimes for fun, sometimes for profit. Entertaining and enlightening, Debunked! is the antidote, vigorously asserting the virtues of doubt, skepticism, curiosity, and scientific knowledge.--From publisher description.
Download or read book Squaring the Circle written by Douglas M. Jesseph and published by University of Chicago Press. This book was released on 1999 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeological Origins of the DisputeChapter Three: De Corpore and the Mathematics of MaterialismChapter Four: Disputed FoundationsHobbes vs. Wallis on the Philosophy of MathematicsChapter Five: The "Modern Analytics" and the Nature of DemonstrationChapter Six: The Demise of Hobbesian GeometryChapter Seven: The Religion, Rhetoric, and Politics of Mr. Hobbes and Dr. WallisChapter Eight: Persistence in ErrorWhy Was Hobbes So Resolutely Wrong?Appendix: Selections from Hobbes's Mathematical WritingsReferencesIndex Copyright © Libri GmbH. All rights reserved.
