Triumphant Mathematics
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Triumphant Mathematics
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-19
Triumphant Mathematics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-19 with Mathematics categories.
Embark on a mathematical journey like no other with Triumphant Mathematics, a comprehensive guide to the world of numbers, shapes, and patterns. Discover the captivating beauty of mathematics and its transformative power to unlock the secrets of the universe and empower our lives. Within these pages, you'll find a treasure trove of mathematical knowledge, presented with clarity, engaging examples, and thought-provoking exercises. From the fundamental concepts of arithmetic and algebra to the intricacies of geometry, statistics, and probability, this book takes you on an intellectual adventure that will deepen your understanding and appreciation for the subject. With Triumphant Mathematics, you'll: * Unravel the mysteries of numbers, exploring their properties and operations. * Conquer the realm of geometry, unraveling the secrets of shapes, angles, and dimensions. * Embark on an algebraic adventure, solving equations and manipulating expressions to reveal hidden patterns and relationships. * Delve into the world of statistics, learning how to collect, analyze, and interpret data to make informed decisions. * Venture into the realm of probability, exploring the laws of chance and the art of predicting uncertain events. More than just a collection of abstract concepts, Triumphant Mathematics reveals the practical applications of mathematics in various fields, from science and technology to finance and everyday life. Discover how mathematics empowers us to solve problems, make informed decisions, and create innovative solutions to the challenges we face. This book is an invaluable resource for students, educators, and anyone with a curious mind seeking to expand their mathematical knowledge. Whether you're a beginner seeking a solid foundation or an experienced learner looking to deepen your understanding, Triumphant Mathematics will ignite your passion for the subject and equip you with the skills and knowledge to excel. Join us on this mathematical odyssey and unlock the transformative power of mathematics. Prepare to be amazed, inspired, and empowered as you delve into the fascinating world of numbers, shapes, and patterns. Triumphant Mathematics awaits you, ready to guide you on a journey of discovery and enlightenment. If you like this book, write a review on google books!
New Infinitary Mathematics
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Author : Petr Vopěnka
language : en
Publisher: Charles University in Prague, Karolinum Press
Release Date : 2022-08-01
New Infinitary Mathematics written by Petr Vopěnka and has been published by Charles University in Prague, Karolinum Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-01 with Mathematics categories.
The dominant current of twentieth-century mathematics, which simultaneously explores and applies infinity (albeit in bizarre ideal worlds), relies on Cantor's classical theory of infinite sets. Cantor’s theory in turn relies on the problematic assumption of the existence of the set of all natural numbers, the only justification for which – a theological justification - is usually concealed and pushed into the collective unconscious. This book begins by surveying the theological background, emergence, and development of classical set theory. The author warns us about the dangers implicit in the construction of set theory, traceable in his own and other eminent mathematicians' seminal works on the subject. He then goes on to present an argument about the absurdity of the assumption of the existence of the set of all natural numbers. However, the author’s contribution is not just a negation of current views and assumptions. On the contrary, the new infinitary mathematics that he proceeds to propose and develop is driven by a cautious effort to transcend the horizon bounding the ancient geometric world and pre-set-theoretical mathematics, whilst allowing mathematics to correspond more closely to the natural real world surrounding us. The final parts are devoted to a discussion of real numbers and to demonstrating how, within the new infinitary mathematics, calculus can be rehabilitated in its original form employing infinitesimals.
A Century Of Advancing Mathematics
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Author : Paul Zorn
language : en
Publisher: The Mathematical Association of America
Release Date : 2015-08-23
A Century Of Advancing Mathematics written by Paul Zorn and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-23 with Mathematics categories.
The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.
The Book Triumphant
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Author : Malcolm Walsby
language : en
Publisher: BRILL
Release Date : 2011-08-25
The Book Triumphant written by Malcolm Walsby and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Language Arts & Disciplines categories.
This edited collection presents new research on the development of printing and bookselling throughout Europe during the sixteenth and seventeenth centuries, addressing themes such as the Reformation, the transmission of texts and the production and sale of printed books.
Mathematics Common Sense
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Author : Philip J. Davis
language : en
Publisher: CRC Press
Release Date : 2006-11-30
Mathematics Common Sense written by Philip J. Davis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.
From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.
The Architecture Of Modern Mathematics
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Author : J. Ferreiros
language : en
Publisher: OUP Oxford
Release Date : 2006-04-27
The Architecture Of Modern Mathematics written by J. Ferreiros and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-27 with Mathematics categories.
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Beyond The Learned Academy
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Author : Philip Beeley
language : en
Publisher: Oxford University Press
Release Date : 2024
Beyond The Learned Academy written by Philip Beeley and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with History categories.
Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.
The Man Who Knew Infinity
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Author : Robert Kanigel
language : en
Publisher: Hachette UK
Release Date : 2014-12-04
The Man Who Knew Infinity written by Robert Kanigel and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Biography & Autobiography categories.
The Man Who Knew Infinity is the true story of a friendship between Srinivasa Ramanujan and G.H. Hardy that forever changed mathematics. In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the pre-eminent English mathematician's opinion on several ideas he had about numbers. Realising the letter was the work of a genius, Hardy arranged for Srinivasa Ramanujan to come to England. Thus began one of the most improbable and productive collaborations ever chronicled. With a passion for rich and evocative detail, Robert Kanigel takes us from the temples and slums of Madras to the courts and chapels of Cambridge University, where the devout Hindu Ramanujan, 'the Prince of Intuition,' tested his brilliant theories alongside the sophisticated and eccentric Hardy, 'the Apostle of Proof'. In time, Ramanujan's creative intensity took its toll: he died at the age of thirty-two and left behind a magical and inspired legacy that is still being plumbed for its secrets today.
Cultural Foundations Of Mathematics
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Author : C. K. Raju
language : en
Publisher: Pearson Education India
Release Date : 2007
Cultural Foundations Of Mathematics written by C. K. Raju and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Calculus categories.
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
Wittgenstein On Mathematics
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Author : Severin Schroeder
language : en
Publisher: Routledge
Release Date : 2020-12-30
Wittgenstein On Mathematics written by Severin Schroeder and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-30 with Philosophy categories.
This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.