Beautiful Mathematics
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Beautiful Mathematics
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Author : Martin Erickson
language : en
Publisher: MAA
Release Date : 2011-12-22
Beautiful Mathematics written by Martin Erickson and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.
Mathematical ideas with aesthetic appeal for any mathematically minded person.
An Illustrated Theory Of Numbers
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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15
An Illustrated Theory Of Numbers written by Martin H. Weissman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Education categories.
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
Step Into The World Of Mathematics
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Author : Samuli Siltanen
language : en
Publisher: Springer Nature
Release Date : 2021-09-27
Step Into The World Of Mathematics written by Samuli Siltanen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Mathematics categories.
Modern life is increasingly relying on digital technology, which in turn runs on mathematics. However, this underlying math is hidden from us. That is mostly a good thing since we do not want to be solving equations and calculating fractions just to get things done in our everyday business. But the mathematical details do matter for anyone who wants to understand how stuff works, or wishes to create something new in the jungle of apps and algorithms. This book takes a look at the mathematical models behind weather forecasting, climate change prediction, artificial intelligence, medical imaging and computer graphics. The reader is expected to have only a curious mind; technical math skills are not needed for enjoying this text.
A Beautiful Math
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Author : Tom Siegfried
language : en
Publisher: National Academies Press
Release Date : 2006-09-21
A Beautiful Math written by Tom Siegfried and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-21 with Science categories.
Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.
Explaining Beauty In Mathematics An Aesthetic Theory Of Mathematics
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Author : Ulianov Montano
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-20
Explaining Beauty In Mathematics An Aesthetic Theory Of Mathematics written by Ulianov Montano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Philosophy categories.
This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.
Mathemazing The Beauty Of Mathematics
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Author : Shehab Khan
language : en
Publisher: Lulu.com
Release Date : 2016-12-29
Mathemazing The Beauty Of Mathematics written by Shehab Khan and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-29 with Education categories.
Never really liked maths? Or love it so much? This book is just for you! This book encapsulates around ten different of the most famous mathematical problems in the history of mathematics! Shehab breaks these problems down into several components, to help YOU understand the fun part of mathematics!Many people do not like mathematics. It may be due to the way mathematics is taught or the way the curricula is designed. Students find high school mathematics quite unexciting as most of it is about learning the tools without understanding how these tools could ever help with the real world problems.Get this book today to explore YOUR love for mathematics!
Mathematical Beauty What Is Mathematical Beauty And Can Anyone Experience It
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Author : Daniel Pearcy
language : en
Publisher: Hachette UK
Release Date : 2020-05-08
Mathematical Beauty What Is Mathematical Beauty And Can Anyone Experience It written by Daniel Pearcy and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-08 with Education categories.
How is it possible that a mathematician might talk of beauty in an equation more passionately than an artist talks about a painting? And if mathematics is so beautiful, why haven't more of us experienced this beauty? Daniel Pearcy delves into the wonderful world of mathematical beauty to understand exactly what it is, and whether anyone can experience it. With examples, research, insights and years of experience, Daniel provides a refreshing perspective on mathematical beauty which would intrigue a wide range of readers from teachers, students, mathematical enthusiasts and indeed anyone interested in the concept of beauty. If you've ever wondered how you might explain mathematical beauty to someone who has only ever thought of mathematics as a bunch of symbols and equations which don't make sense, then you'll find this book truly enlightening.
Beauty Of Elementary Mathematics The And How To Teach It
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Author : Ron Aharoni
language : en
Publisher: World Scientific
Release Date : 2024-07-30
Beauty Of Elementary Mathematics The And How To Teach It written by Ron Aharoni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-30 with Mathematics categories.
Why is 2 times 3 equal to 3 times 2? One may think this is an axiom, but it has a proof, and a beautiful one at that. Elementary mathematics is as deep and as beautiful as higher mathematics. It includes some of the most important mathematical discoveries ever, for example the concept of the number, and the place-value method of representing numbers. We are so accustomed to this method, that we forget how clever and beautiful it is — resulting in its incredible efficacy.All this was a surprise for the author, a university professor of mathematics, when he went to teach in elementary school. He realized that good teaching of elementary mathematics requires understanding its fine points and conveying their beauty to the students. Sensing the beauty and understanding go hand in hand.The book outlines the material from kindergarten to grade 6 (with an excursion into algebra as well). It also discusses teaching principles, and their close relatives — thinking principles. Teachers and parents who imbue these principles are likely to convey the love of mathematics to the child.
The Eternal Beauty Of Mathematics
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-05-17
The Eternal Beauty Of 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 2025-05-17 with Mathematics categories.
In a world often perceived as cold and mechanical, mathematics emerges as an oasis of beauty, harmony, and wonder. It is a realm where patterns dance, equations sing, and proofs unfold with the grace of a symphony. This book is an invitation to discover the captivating world of mathematics, to witness its elegance, its power, and its profound impact on our lives. Through captivating prose and illuminating examples, this book takes readers on a journey through the vast landscape of mathematics, from its ancient roots to its modern applications. It explores the beauty of mathematical patterns, the power of mathematical models, and the harmony of mathematical structures. It introduces readers to the great mathematicians of the past, their struggles and their triumphs, and it showcases the birth of new mathematical ideas that are shaping the world of tomorrow. Whether you are a student, a teacher, a scientist, an engineer, or simply someone who is curious about the world around you, this book is for you. It is an invitation to see the world in a new light, to unlock your own potential as a creative thinker, and to appreciate the beauty and the power of mathematics. With its engaging writing style and its accessible approach, this book is the perfect guide for anyone who wants to discover the wonders of mathematics. It is a book that will change the way you think about the world, and it is a book that you will cherish for years to come. Delve into the pages of this book and prepare to be amazed by the beauty, the power, and the elegance of mathematics. Discover the hidden patterns that govern the universe, the intricate relationships that connect different fields of knowledge, and the limitless potential of the human mind. This book is more than just a collection of mathematical facts and formulas; it is an exploration of the human spirit, a celebration of the power of curiosity, and a testament to the enduring beauty of mathematics. If you like this book, write a review on google books!
Pure Math Discovering The Beauty Of Abstract Mathematics
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Author : Lexa N. Palmer
language : en
Publisher: Book Lovers HQ
Release Date : 2024-09-30
Pure Math Discovering The Beauty Of Abstract Mathematics written by Lexa N. Palmer and has been published by Book Lovers HQ this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Mathematics categories.
Pure Math: Discovering the Beauty of Abstract Mathematics offers a unique approach to exploring the captivating world of pure mathematics. It's where logic meets imagination, and abstract thought gives rise to profound beauty. This book takes you beyond the formulas and calculations, uncovering the hidden elegance that lies at the heart of mathematical structures, patterns, and theories. From the concept of infinity to symmetry in group theory, this book delves into the core ideas of pure math that have fascinated thinkers for centuries. You’ll discover the aesthetic appeal of mathematical proofs, each one a treasure waiting to be unearthed, explore the intricate relationships in number theory, and journey through the strange worlds of non-Euclidean geometry and topology. Whether you're intrigued by the mysteries of prime numbers or the paradoxes that challenge conventional logic, Pure Math illuminates these abstract concepts in a way that is both engaging and intellectually stimulating. Written for those who appreciate the beauty of ideas, this book is a celebration of the intellectual creativity that drives pure mathematics. It's perfect for mathematicians, students, and curious readers who want to see math as more than a tool for problem-solving. It’s a testament to the wonder that can be found in abstract reasoning. What you will find in this book: The concept of infinity and its role in set theory and calculus The elegance of mathematical proofs and the joy of discovering them Patterns and symmetry in number theory, geometry, and algebra Paradoxes that challenge the boundaries of logic and intuition The philosophical implications of pure mathematics as a universal language Exploration of the beauty and complexity found in abstract mathematical structures Embark on a fascinating journey into the depths of pure mathematics and discover a new way of thinking about the world around you!