Perfect Numbers And Fibonacci Sequences
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Perfect Numbers And Fibonacci Sequences
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Author : Tianxin Cai
language : en
Publisher: World Scientific
Release Date : 2022-07-07
Perfect Numbers And Fibonacci Sequences written by Tianxin Cai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-07 with Mathematics categories.
In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.
Handbook Of Number Theory Ii
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Author : J. Sándor
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Handbook Of Number Theory Ii written by J. Sándor 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 2004 with Mathematics categories.
This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.
A Handbook Of Number Theory In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
A Handbook Of Number Theory In Quantum Mechanics 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.
"A Handbook of Number Theory in Quantum Mechanics" is a comprehensive guide designed for absolute beginners eager to explore the fascinating intersection of number theory and quantum mechanics. This book provides a clear and accessible introduction to essential concepts in both fields, from prime numbers and modular arithmetic to wave functions and quantum superposition. With step-by-step explanations, illustrative examples, and a focus on clarity, it aims to make complex topics approachable for all readers. Whether you're a student, an enthusiastic amateur, or simply curious about the mathematical foundations of the quantum world, this handbook will equip you with a solid understanding and inspire further exploration into these captivating subjects.
Number Theory In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Number Theory In Quantum Mechanics 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 Science categories.
"Number Theory in Quantum Mechanics" is a specialized exploration that bridges the realms of number theory and quantum mechanics. Catering to students, physicists, and researchers in quantum physics, this book investigates the intriguing connections between number theory concepts and quantum phenomena. Covering topics such as quantum states, operators, and wave functions, the book illuminates the mathematical underpinnings that emerge when applying number theory principles to quantum mechanics. With clarity and depth, this book serves as a valuable resource for those intrigued by the intersection of mathematical theory and quantum physics, offering new perspectives on the fundamental nature of quantum systems.
Numbers The Untold Story
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-13
Numbers The Untold Story 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 2025-07-13 with Mathematics categories.
Embark on a captivating journey into the world of numbers with Numbers: The Untold Story, an exploration of the fascinating realm of mathematics. From the ancient origins of counting to the cutting-edge frontiers of modern mathematics, this book delves into the stories, concepts, and applications of numbers that have shaped our understanding of the universe. With engaging prose and illuminating examples, Numbers: The Untold Story brings to life the beauty and power of numbers. Discover the fundamental principles of arithmetic, geometry, algebra, calculus, and statistics, and witness how these tools have been used to solve complex problems, make groundbreaking discoveries, and create innovative technologies. Explore the lives and contributions of brilliant mathematicians throughout history, from Pythagoras and Euclid to Ada Lovelace and Alan Turing. Learn about the pivotal moments in mathematical history, from the development of zero to the cracking of the Enigma code, and understand the profound impact these advancements have had on our world. Uncover the hidden beauty of mathematics in art, music, and nature. Explore the patterns and symmetries that permeate the universe, from the spirals of seashells to the orbits of planets. Discover how mathematics has been used to create stunning works of art, compose harmonious melodies, and unlock the secrets of the natural world. Delve into the practical applications of mathematics in various fields, from engineering and finance to medicine and computer science. See how numbers are used to design skyscrapers, predict financial trends, develop life-saving treatments, and create the technologies that drive our modern world. Numbers: The Untold Story is an invitation to rediscover the wonder and significance of numbers. It is a celebration of the human quest for knowledge and understanding, and a testament to the power of mathematics to shape our world. Whether you are a student, a professional, or simply someone with a curious mind, this book will captivate and inspire you with its insights into the world of numbers. If you like this book, write a review!
45 Essential Number Theory Concepts Explored In 7 Minutes Each
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Author : Nietsnie Trebla
language : en
Publisher: Shelf Indulgence
Release Date :
45 Essential Number Theory Concepts Explored In 7 Minutes Each written by Nietsnie Trebla and has been published by Shelf Indulgence this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
45 Essential Number Theory Concepts Explored in 7 Minutes Each Unlock the mysteries of numbers in this concise and engaging guide, 45 Essential Number Theory Concepts Explored in 7 Minutes Each. Perfect for students, educators, and number enthusiasts alike, this book breaks down complex concepts into digestible segments that can be understood in just a few minutes. The journey begins with an Introduction to Number Theory, laying the foundation for deeper exploration of the subject. From Prime Numbers and Composite Numbers to the intricacies of the Euclidean Algorithm and Modular Arithmetic, each chapter unveils essential theories and methodologies that have influenced mathematics for centuries. Understand the importance of Fermat's Little Theorem, Euler's Theorem, and discover the Chinese Remainder Theorem, along with fascinating concepts like Perfect Numbers and Amicable Numbers. Explore Number Patterns and Sequences and delve into advanced topics like Diophantine Equations and Pythagorean Triples. Learn how the Sieve of Eratosthenes revolutionized prime number discovery and appreciate the foundations of Cryptography in the digital age with insights into the RSA Algorithm and Public Key Cryptography. Discover the applications of number theory in computer science, including Hash Functions and Algorithm Complexity. The book culminates with explorations of ongoing mathematical mysteries such as the Goldbach Conjecture and the Twin Prime Conjecture, while summarizing the future potential of this vibrant field. Each chapter is designed to be quick yet profound, allowing readers to grasp essential number theory concepts efficiently. Ideal for anyone looking to strengthen their mathematical foundation or simply satiate their curiosity about the numbers that shape our world. Whether you're a novice or a seasoned mathematician, 45 Essential Number Theory Concepts Explored in 7 Minutes Each is your essential companion for a fast-paced journey through the fascinating landscape of number theory.
Figurate Numbers
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Author : Michel-marie Deza
language : en
Publisher: World Scientific
Release Date : 2012-01-20
Figurate Numbers written by Michel-marie Deza and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Mathematics categories.
Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions.
Unsolved Problems In Number Theory
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Author : Richard Guy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Unsolved Problems In Number Theory written by Richard Guy 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 2013-06-29 with Mathematics categories.
To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ourselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the in creasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solu tion of a problem may stifte interest in the area around it. But "Fermat's Last Theorem", because it is not yet a theorem, has generated a great deal of "good" mathematics, whether goodness is judged by beauty, by depth or byapplicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even ifwe don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfeet numbers. On the other hand, "unsolved" problems may not be unsolved at all, or may be much more tractable than was at first thought.
A Friendly Introduction To Mathematical Logic
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Author : Christopher C. Leary
language : en
Publisher: Lulu.com
Release Date : 2015
A Friendly Introduction To Mathematical Logic written by Christopher C. Leary and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Computers categories.
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Index To Mathematical Problems 1975 1979
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Author : Stanley Rabinowitz
language : en
Publisher: MathPro Press
Release Date : 1999
Index To Mathematical Problems 1975 1979 written by Stanley Rabinowitz and has been published by MathPro Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.