The Fibonacci Sequence And Beyond
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The Fibonacci Sequence And Beyond
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Author : Bruce R. Gilson
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2009-12-30
The Fibonacci Sequence And Beyond written by Bruce R. Gilson and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-30 with categories.
This book deals with the well-known Fibonacci sequence, but in a new way: as a special case of more general types of sequences, showing how many of the beautiful patterns arising are derived from properties of these sequences.
Exploring Numbers Beyond Primes
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Author : N.B. Singh
language : en
Publisher: N.B.Singh
Release Date :
Exploring Numbers Beyond Primes written by N.B. Singh and has been published by N.B.Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"Exploring Numbers Beyond Primes" is a comprehensive and accessible introduction to the fascinating world of number theory, designed specifically for absolute beginners. This book takes readers on a captivating journey through the mysteries of prime numbers and Diophantine equations, offering clear explanations and engaging examples along the way. From the historical origins of number theory to modern approaches and future directions, each chapter provides a step-by-step exploration of key concepts, supported by vivid descriptions and relatable analogies. Whether you're a curious novice or an aspiring mathematician, "Exploring Numbers Beyond Primes" invites you to discover the beauty and wonder of numbers, inspiring a lifelong passion for mathematical inquiry.
Beyond Mental Gymnastics Journeys Through The Labyrinth Of Math Riddles
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-08
Beyond Mental Gymnastics Journeys Through The Labyrinth Of Math Riddles 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 2025-03-08 with Mathematics categories.
Embark on an intellectual odyssey into the captivating world of mathematical riddles and brain-teasers with "Beyond Mental Gymnastics: Journeys through the Labyrinth of Math Riddles." This comprehensive guide invites you to explore the depths of numbers, shapes, and patterns, unveiling the secrets of the universe and expanding your mental horizons. Within these pages, you'll find a treasure trove of stimulating challenges that will test your mettle, sharpen your problem-solving skills, and ignite your passion for the intricacies of mathematics. From the recreational to the profound, each chapter presents a unique voyage of discovery across various mathematical domains. Journey into the enigmatic realm of number theory, where prime numbers hold their secrets and perfect numbers beckon like elusive treasures. Ascend the heights of geometry, where angles and triangles reveal the hidden geometries of the universe. Delve into the intricate elegance of algebra, where symbols and equations dance in harmonious patterns. And explore the boundless realm of statistics, where data transforms into insights and probabilities unveil the hidden order of randomness. "Beyond Mental Gymnastics" is not just a collection of puzzles; it's an invitation to engage with the beauty and power of mathematics. Whether you're a seasoned mathematician seeking new frontiers of intellectual exploration or an enthusiastic learner eager to unlock the mysteries of the quantitative world, this book promises an immersive and rewarding experience. Unlock the secrets of mathematics with "Beyond Mental Gymnastics." Open your mind to the wonders of numbers, shapes, and patterns, and embark on an odyssey that will expand your horizons and leave you in awe of the boundless power of human ingenuity. If you like this book, write a review!
Mathematics Its Historical Aspects Wonders And Beyond
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Author : Arthur D Kramer
language : en
Publisher: World Scientific
Release Date : 2022-06-29
Mathematics Its Historical Aspects Wonders And Beyond written by Arthur D Kramer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-29 with Mathematics categories.
Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.
Beyond Disciplinarity
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Author : Catherine Hayes
language : en
Publisher: Routledge
Release Date : 2020-12-22
Beyond Disciplinarity written by Catherine Hayes and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Philosophy categories.
This book provides a means of comprehensively grounding and considering the epistemological and philosophical underpinnings of practice-based research epistemologies. By introducing readers to the diverse array of methodological tools and concepts that are necessary to underpin postgraduate research, this book develops an understanding of the distinctions between practice-led research, practice-based research and question-led research, and the contextual significance of each, as well as enabling students to comprehend the historical relationships between academic disciplines and the value of reconnecting them at an epistemological and philosophical level. Through illustrated examples from applied practice across disciplines such as art, social sciences and medical and allied healthcare sciences, readers are encouraged to develop the capacity to not only think conceptually about their own research, but to systematically evaluate that of others. With this focus on descriptive studies from practice, the book fosters higher-order critical thinking in relation to implications for methodological implementation, encouraging deep learning processes and the confidence to transcend the limits of one’s own discipline in order to work collaboratively with researchers in different fields.
Beyond Measure A Guided Tour Through Nature Myth And Number
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2002-12-16
Beyond Measure A Guided Tour Through Nature Myth And Number written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Mathematics categories.
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.
Putnam And Beyond
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Author : Răzvan Gelca
language : en
Publisher: Springer
Release Date : 2017-09-19
Putnam And Beyond written by Răzvan Gelca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.
Mathematics In Architecture Art Nature And Beyond
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-03-07
Mathematics In Architecture Art Nature And Beyond written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-07 with Mathematics categories.
There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.
Wonders Beyond Numbers
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Author : Johnny Ball
language : en
Publisher: Bloomsbury Publishing
Release Date : 2017-10-05
Wonders Beyond Numbers written by Johnny Ball and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Mathematics categories.
In this book, Johnny Ball tells one of the most important stories in world history – the story of mathematics. By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language. Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died. Enriched with tales of colourful personalities and remarkable discoveries, this book also has plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, it is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.
Beyond Given Knowledge
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Author : Harri Veivo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18
Beyond Given Knowledge written by Harri Veivo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Literary Criticism categories.
The effort to go beyond given knowledge in different domains – artistic, scientific, political, metaphysical – is a characteristic driving force in modernism and the avant-gardes. Since the late 19th century, artists and writers have frequently investigated their medium and its limits, pursued political and religious aims, and explored hitherto unknown physical, social and conceptual spaces, often in ways that combine these forms of critical inquiry into one and provoke further theoretical and methodological innovations. The fifth volume of the EAM series casts light on the history and actuality of investigations, quests and explorations in the European avant-garde and modernism from the late 19th century to the present day. The authors seek to answer questions such as: How have modernism and the avant-garde appropriated scientific knowledge, religious dogmas and social conventions, pursuing their investigation beyond the limits of given knowledge and conceptions? How have modernism and avant-garde created new conceptual models or representations where other discourses have allegedly failed? In what ways do practises of investigation, quest or exploration shape artistic work or the formal and thematic structures of artworks?