Irregularities In The Distribution Of Prime Numbers
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Irregularities In The Distribution Of Prime Numbers
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Author : János Pintz
language : en
Publisher: Springer
Release Date : 2018-07-04
Irregularities In The Distribution Of Prime Numbers written by János Pintz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-04 with Mathematics categories.
This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
The Distribution Of Prime Numbers
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Author : Dimitris Koukoulopoulos
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-28
The Distribution Of Prime Numbers written by Dimitris Koukoulopoulos 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 2020-07-28 with Education categories.
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.
The Distribution Of Prime Numbers
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Author : Albert Edward Ingham
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28
The Distribution Of Prime Numbers written by Albert Edward Ingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-28 with Mathematics categories.
Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Unsolved Problems In Number Theory
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Author : Richard Guy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
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 2013-11-11 with Mathematics categories.
To many laymen, mathematicians appear to be problem solvers, people who do "hard sums". Even inside the profession we dassify ouselves 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 increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution 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 by applicability. 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 if we don't live long enough to learn the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, "unsolved" problems may not be unsolved at all, or than was at first thought.
Impossible Math Problems
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Author : Harrison Stewart
language : en
Publisher: Publifye AS
Release Date : 2025-03-31
Impossible Math Problems written by Harrison Stewart and has been published by Publifye AS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with Science categories.
Impossible Math Problems tackles some of mathematics' most enduring enigmas, exploring complex equations and unsolved problems that have captivated mathematicians for generations. The book investigates the significance and historical context of these problems, highlighting ongoing attempts at solutions. For instance, the Riemann Hypothesis, a central focus, could unlock secrets about prime number distribution, with implications for cryptography and computer science. Similarly, the Beal Conjecture, a seemingly simple equation, has deep connections to number theory. This book uniquely emphasizes the human side of mathematical discovery, delving into the lives and motivations of mathematicians dedicated to these challenges. Assuming only a basic understanding of high school algebra and geometry, the book introduces more advanced concepts as it progresses. Beginning with core mathematical concepts, each chapter then dedicates itself to a specific problem, outlining its history and significance. Readers will appreciate the book's accessible language, aimed at bridging the gap between technical literature and a general audience. By investigating these challenges, new mathematical tools and insights are revealed, illustrating how the pursuit of 'impossible' problems drives mathematical innovation. The exploration of these unsolved math problems provides a glimpse into the forefront of mathematical research.
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.
13 Lectures On Fermat S Last Theorem
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
13 Lectures On Fermat S Last Theorem written by Paulo Ribenboim 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 2012-12-06 with Mathematics categories.
Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.
The Arcana Of Numbers
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-26
The Arcana Of Numbers 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 2025-07-26 with Mathematics categories.
Prepare to be captivated by the enigmatic world of numbers as you delve into The Arcana of Numbers, a literary masterpiece that unveils the profound secrets and enchanting allure of mathematics. Within these pages, you will embark on a journey through the fascinating realm of prime numbers, unraveling their elusive nature and delving into the intricacies of algebra, where numbers dance in harmonious patterns and relationships. Geometry will reveal the beauty of shapes and their properties, while trigonometry will unveil the hidden harmonies within triangles. Calculus, the mathematics of change, will empower you to understand the dynamic nature of our world, and statistics will provide the tools to collect, analyze, and interpret data, uncovering the patterns and trends that shape our lives. Mathematical reasoning, the bedrock of all mathematical endeavors, will guide you as you explore the intricacies of logic and proof, unraveling the mysteries of combinatorics, graph theory, and number theory. At the frontiers of mathematics, you will encounter the enigmatic world of fractals and chaos, where patterns emerge from disorder, and delve into the complexities of topology, the study of shapes and their properties. Witness the ongoing quest to solve the Riemann Hypothesis, one of the most famous unsolved problems in mathematics, and explore the ever-expanding horizons of mathematical knowledge. Throughout this mathematical odyssey, you will pay homage to the brilliant minds that have shaped the mathematical landscape, from the ancient mathematicians of Greece and India to the modern-day pioneers who continue to push the boundaries of human knowledge. Their insights, discoveries, and unwavering dedication have illuminated our understanding of the world and inspired generations of mathematicians to come. The Arcana of Numbers is not merely a book; it is an invitation to explore the limitless possibilities of mathematics, to unravel its mysteries, and to appreciate its timeless beauty. Let this book be your guide as you embark on a journey of intellectual discovery, where numbers will captivate your mind and expand your horizons. If you like this book, write a review!
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!