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Author: N.B. Singh
Publisher: N.B.Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 100
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Book Description
"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.
Author: N.B. Singh
Publisher: N.B.Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 100
Get Book Here
Book Description
"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.
Author: N.B. Singh
Publisher: N.B. Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 103
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Book Description
"Beyond Primes" delves into the fascinating world of number theory beyond the realm of prime numbers. From exploring topics like composite numbers, perfect numbers, and cryptographically significant numbers, to investigating unsolved problems and conjectures in number theory, this book offers readers a captivating journey into the depths of mathematical exploration. With clear explanations and intriguing examples, "Beyond Primes" is an essential read for anyone interested in the beauty and complexity of number theory, offering insights into the mysteries that lie beyond the realm of primes.
Author: David Wells
Publisher: Turner Publishing Company
ISBN: 1118045718
Category : Mathematics
Languages : en
Pages : 260
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Book Description
A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more
Author: Thomas Lin
Publisher: MIT Press
ISBN: 0262536358
Category : Mathematics
Languages : en
Pages : 331
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Book Description
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine
Author: Jean-Marie De Koninck
Publisher: American Mathematical Soc.
ISBN: 1470464896
Category : Education
Languages : en
Pages : 345
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Book Description
This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.
Author: David R Ely
Publisher: David R Ely
ISBN:
Category : Mathematics
Languages : en
Pages : 56
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Book Description
For over 150 years, the Riemann Hypothesis stood as perhaps the greatest unsolved problem in mathematics. Proposed in 1859 by Bernard Riemann, the conjecture provided a tantalizing connection between the distribution of prime numbers and the zeros of an analytic function. Riemann located all the non-trivial zeros of the zeta function along a straight line in the complex plane. This simple pattern pointed to hidden order in the chaos of prime numbers. Generations of mathematicians struggled in vain to prove Riemann's alluring claim. It became the holy grail of number theory, resisting the most powerful mathematical minds. The Riemann Hypothesis gained renown as the most important problem in all of mathematics. But despite intense effort, the problem seemed mired in insurmountable difficulty. In this book, we walk through the proof that could finally cracked Riemann's age-old enigma. By bringing together ideas from complex analysis, number theory, and topology, the proof provides a creative bridge between mathematics' disparate domains. Methods based on symmetry, contradiction, and strategic re-expression illuminate Riemann's magic at last. The book offers the first comprehensive guide to understanding and appreciating this watershed mathematical achievement. It provides deep mathematical insights, historical perspectives, and reflection on problem-solving philosophy. Most importantly, the work pays tribute to the human spirit embodied in mathematics’ unending quest to understand the mysteries of patterns that surround us.
Author: Alan Levine
Publisher: Academic Press
ISBN: 9780124454606
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Funded by a National Science Foundation grant, Discovering Higher Mathematics emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher mathematics. Students in these courses have normally completed the calculus sequence and are planning to take advanced mathematics courses such as algebra, analysis and topology. The transition course is taken to prepare students for these courses by introducing them to the processes of conjecture and proof concepts which are typically not emphasized in calculus, but are critical components of advanced courses. * Constructed around four key themes: Experimentation, Conjecture, Proof, and Generalization * Guidelines for effective mathematical thinking, covering a variety of interrelated topics * Numerous problems and exercises designed to reinforce the key themes
Author: Donald D. Spencer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Author: Richard Crandall
Publisher: Springer Science & Business Media
ISBN: 0387289798
Category : Mathematics
Languages : en
Pages : 597
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Book Description
Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field
Author: Kieran Mackle
Publisher: Taylor & Francis
ISBN: 1317443365
Category : Education
Languages : en
Pages : 143
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Book Description
Did you know that a circle has more than one side? Are you aware of the difference between 1:2 and 1⁄2? Could you spot when a 2D shape is actually 3D? Tackling Misconceptions in Primary Mathematics is a practical guide based on the principles that sound subject knowledge is key to fostering understanding, and addressing misconceptions is central to pupil progress. With an emphasis on preventing as well as unpicking misconceptions in the classroom, it offers trainee and practising teachers clear explanations, practical strategies, and examples of the classroom language and dialogue that will help pupils successfully navigate tricky topics. The book demonstrates the importance of preventing misconceptions through what is said, done and presented to children, giving a variety of examples of common misconceptions and exploring how they can be addressed in a classroom environment. Proper intervention at the point of misconception is regarded as a key skill for any outstanding classroom practitioner and the author stresses the value in understanding how the pupil got there and explaining that it’s okay to make mistakes. Misconceptions are only one step away from correctly formed concepts if harnessed with care and skill. This comprehensive text is designed to be read as either a short course introduction, or dipped into as a guide to assist teaching. It is essential reading for trainee primary school teachers on all routes to QTS, as well as mathematics subject leaders and practising teachers looking to inspire the next generation of confident and inquisitive mathematicians.
