The Mathematics Of Infinity
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The Mathematics Of Infinity
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Author : Theodore G. Faticoni
language : en
Publisher: John Wiley & Sons
Release Date : 2012-04-17
The Mathematics Of Infinity written by Theodore G. Faticoni and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-17 with Mathematics categories.
Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.
God And The Mathematics Of Infinity
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Author : H. Chris Ransford
language : en
Publisher: Columbia University Press
Release Date : 2017-03-28
God And The Mathematics Of Infinity written by H. Chris Ransford and has been published by Columbia University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-28 with Religion categories.
Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.
The Mathematics Of Harmony
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Author : Alekse? Petrovich Stakhov
language : en
Publisher: World Scientific
Release Date : 2009
The Mathematics Of Harmony written by Alekse? Petrovich Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and ?golden? matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
Math Dimensions An Interactive Journey Through Geometry Trigonometry And Calculus
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-16
Math Dimensions An Interactive Journey Through Geometry Trigonometry And Calculus 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 2025-04-16 with Mathematics categories.
Prepare to embark on a mind-bending journey through the fascinating world of mathematics with "Math Dimensions: An Interactive Journey Through Geometry, Trigonometry, and Calculus." This comprehensive and engaging book is designed to ignite your curiosity and provide a deeper understanding of mathematical concepts, regardless of your background or skill level. Within these pages, you'll discover a treasure trove of interactive elements that bring mathematical concepts to life. Explore the intricacies of geometry through captivating pop-ups and 3-D models. Delve into the depths of trigonometry with interactive diagrams and hands-on activities. Unravel the mysteries of calculus with clear explanations and step-by-step examples. "Math Dimensions" is not just a textbook; it's an immersive experience that transforms abstract concepts into tangible realities. Engage in mathematical puzzles and games that challenge your thinking and spark your creativity. Discover the hidden connections between mathematics and art, music, and nature. Explore the practical applications of mathematics in fields like finance, medicine, and engineering. With its accessible writing style, captivating visuals, and interactive features, "Math Dimensions" is the perfect companion for anyone seeking to expand their mathematical horizons. Whether you're a student seeking a deeper understanding of core concepts or a lifelong learner eager to explore the wonders of mathematics, this book will captivate and inspire you. Immerse yourself in the beauty and power of mathematics with "Math Dimensions." Let this book be your guide as you unlock the secrets of the universe and discover the hidden dimensions of reality. If you like this book, write a review on google books!
Poetic Logic And The Origins Of The Mathematical Imagination
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2023-09-02
Poetic Logic And The Origins Of The Mathematical Imagination written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-02 with Mathematics categories.
This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.
The Untitled Book
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-27
The Untitled Book 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 2025-07-27 with Science categories.
Embark on an intellectual odyssey that will redefine your understanding of the universe and its mysteries. This book is a captivating exploration of the interconnectedness of mathematics, physics, and cosmology, revealing the hidden patterns and symmetries that govern our world. Delve into the enigmatic realm of infinity, where paradoxes abound and the boundaries of our comprehension are challenged. Discover the fascinating world of numbers, from the elegance of prime numbers to the intricate complexities of fractals. Explore the captivating realm of topology, where shapes and transformations dance in a symphony of geometric beauty. Unravel the secrets of calculus, the language of change, and witness its power in describing the dynamic nature of the universe. Journey into the mind-bending realm of quantum mechanics, where particles behave in ways that defy our everyday intuition. Explore the enigmatic phenomena of black holes, gravitational singularities, and the vast tapestry of space-time. This book is not merely a collection of abstract concepts; it delves into the practical applications of these scientific discoveries. Witness the transformative power of artificial intelligence and machine learning, and marvel at the wonders of space exploration. Discover how these concepts shape our understanding of the universe and our place within it. Written in an engaging and accessible style, this book is an invitation to embark on an intellectual adventure like no other. Prepare to be captivated as you uncover the hidden connections and patterns that shape our world. Open your mind to the wonders of the universe and embark on a journey of discovery that will forever change your perspective. If you like this book, write a review!
A Mathematics Sampler
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Author : William P. Berlinghoff
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2001-01-10
A Mathematics Sampler written by William P. Berlinghoff and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-10 with Technology & Engineering categories.
Now in its fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics-including computers, perfect numbers, and four-dimensional geometry-to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live. A Mathematics Sampler also includes unique LINK sections throughout the book, each of which connects mathematical concepts with areas of interest throughout the humanities. The original course on which this text is based was cited as an innovative approach to liberal arts mathematics in Lynne Cheney's report, "50 HOURS: A Core Curriculum for College Students", published by the National Endowment for the Humanities.
Myth Wrapped In Math
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Author : Sandeep Chavan
language : en
Publisher: Er. Sandeep Chavan
Release Date : 2025-08-16
Myth Wrapped In Math written by Sandeep Chavan and has been published by Er. Sandeep Chavan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-16 with Science categories.
"Myth Wrapped in Math" – Decoding Scientific Illusions Through UED is a bold intellectual challenge to the very foundations of how we understand the universe. In this groundbreaking work, Sandeep Chavan dismantles long-standing scientific assumptions, exposing how elegant equations have sometimes masked conceptual myths — illusions that have shaped our worldview for centuries. At the heart of the book lies Universal Energy Dynamics (UED) — a unifying framework that redefines motion, force, gravity, light, and time itself. Chavan reveals how much of modern physics, despite its mathematical sophistication, is built on interpretations that fail to match the universe's actual behavior. The result? A "still" reality that science has mistakenly set in motion, wrapped in layers of mathematical symbolism. Through precise deconstruction, the book: Exposes the Motion Illusion — showing why the universe is fundamentally still, and how observed changes are ripple-based field alignments rather than objects "moving" through space. Reframes Gravity — replacing the idea of a pulling force with ripple restoration within the structured vacuum energy (SVE). Redefines Time — shifting from an absolute dimension to a consequence of field configurations and energy transitions. Clarifies Light's Nature — neither a wave nor a photon in the conventional sense, but a field response within a coherent ripple framework. Chavan also tackles the psychological grip of scientific dogma — how the prestige of mathematics often disguises conceptual gaps, making it harder for researchers and students to challenge inherited models. By contrasting mainstream theories with UED's ripple-based explanations, he provides both the evidence and the confidence needed to think independently. This is not a rejection of science — it's a reclamation of it. "Myth Wrapped in Math" invites physicists, philosophers, engineers, educators, and curious readers into a deeper, more reality-aligned understanding of existence. Whether you are a seasoned researcher or an inquisitive learner, you'll find yourself re-examining what you "know" and seeing the universe through a sharper, more coherent lens. If you've ever felt that science's most elegant theories don't quite fit reality… if you've wondered whether we've mistaken mathematical convenience for truth… or if you simply want to experience the thrill of rediscovering the cosmos from first principles — this book is your starting point. Step inside the stillness behind all motion. See beyond the myth. Decode the illusions.
Mathematics And Philosophy
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Author : Daniel Parrochia
language : en
Publisher: John Wiley & Sons
Release Date : 2018-05-24
Mathematics And Philosophy written by Daniel Parrochia and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-24 with Philosophy categories.
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
Mathematical Reasoning
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Author : Raymond Nickerson
language : en
Publisher: Taylor & Francis
Release Date : 2011-02-25
Mathematical Reasoning written by Raymond Nickerson and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Psychology categories.
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.