Number Theory Revealed: A Masterclass

Number Theory Revealed: A Masterclass

Author: Andrew Granville

Publisher: American Mathematical Society

Published: 2020-09-23

Total Pages: 587

ISBN-13: 1470463709

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Number Theory Revealed: A Masterclass acquaints enthusiastic students with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects (Princeton University Press, 2019), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers and of permutations.


Book Synopsis Number Theory Revealed: A Masterclass by : Andrew Granville

Download or read book Number Theory Revealed: A Masterclass written by Andrew Granville and published by American Mathematical Society. This book was released on 2020-09-23 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: A Masterclass acquaints enthusiastic students with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects (Princeton University Press, 2019), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers and of permutations.

Number Theory Revealed: An Introduction

Number Theory Revealed: An Introduction

Author: Andrew Granville

Publisher: American Mathematical Soc.

Published: 2019-11-12

Total Pages: 264

ISBN-13: 1470441578

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Number Theory Revealed: An Introduction acquaints undergraduates with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p p and modern twists on traditional questions like the values represented by binary quadratic forms and large solutions of equations. Each chapter includes an “elective appendix” with additional reading, projects, and references. An expanded edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core topics and adds additional material in further chapters and appendices, allowing instructors to create an individualized course tailored to their own (and their students') interests.


Book Synopsis Number Theory Revealed: An Introduction by : Andrew Granville

Download or read book Number Theory Revealed: An Introduction written by Andrew Granville and published by American Mathematical Soc.. This book was released on 2019-11-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: An Introduction acquaints undergraduates with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p p and modern twists on traditional questions like the values represented by binary quadratic forms and large solutions of equations. Each chapter includes an “elective appendix” with additional reading, projects, and references. An expanded edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core topics and adds additional material in further chapters and appendices, allowing instructors to create an individualized course tailored to their own (and their students') interests.

An Illustrated Theory of Numbers

An Illustrated Theory of Numbers

Author: Martin H. Weissman

Publisher: American Mathematical Soc.

Published: 2020-09-15

Total Pages: 341

ISBN-13: 1470463717

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News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.


Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman

Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

Chemistry (Student)

Chemistry (Student)

Author: Dennis Englin

Publisher: New Leaf Publishing Group

Published: 2018-02-08

Total Pages: 35

ISBN-13: 1683440730

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What is chemistry? It is the study of the composition, structure, and properties of matter. It is through an understanding of chemistry that the products that have benefited society were discovered and technologies to sustain the environment were put in place. Knowledge taught in this course of how matter changes will give us an insight into the origin of life, so we can realize that life could only have been formed by a supernatural act of creation, not by a process of change over time. High school science course with lab curriculumLab experiments are included with step-by-step images for guidanceBased on the principle that those who can understand and apply information do much better than those who simply memorize material This course has been taught by Dr. Englin for many years, with students going on to medical and graduate school. He wanted to develop a series of courses that would give students the tools to help them succeed in higher education. The comprehensive material has God the Creator as its foundation. A teacher guide is available for Chemistry, providing this full-year science course with a detailed schedule, worksheets, and tests.


Book Synopsis Chemistry (Student) by : Dennis Englin

Download or read book Chemistry (Student) written by Dennis Englin and published by New Leaf Publishing Group. This book was released on 2018-02-08 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is chemistry? It is the study of the composition, structure, and properties of matter. It is through an understanding of chemistry that the products that have benefited society were discovered and technologies to sustain the environment were put in place. Knowledge taught in this course of how matter changes will give us an insight into the origin of life, so we can realize that life could only have been formed by a supernatural act of creation, not by a process of change over time. High school science course with lab curriculumLab experiments are included with step-by-step images for guidanceBased on the principle that those who can understand and apply information do much better than those who simply memorize material This course has been taught by Dr. Englin for many years, with students going on to medical and graduate school. He wanted to develop a series of courses that would give students the tools to help them succeed in higher education. The comprehensive material has God the Creator as its foundation. A teacher guide is available for Chemistry, providing this full-year science course with a detailed schedule, worksheets, and tests.

The Life of Primes in 37 Episodes

The Life of Primes in 37 Episodes

Author: Jean-Marie De Koninck

Publisher: American Mathematical Soc.

Published: 2021-05-19

Total Pages: 329

ISBN-13: 1470464896

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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.


Book Synopsis The Life of Primes in 37 Episodes by : Jean-Marie De Koninck

Download or read book The Life of Primes in 37 Episodes written by Jean-Marie De Koninck and published by American Mathematical Soc.. This book was released on 2021-05-19 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number Theory Revealed

Number Theory Revealed

Author: Andrew Granville

Publisher:

Published: 1920

Total Pages: 587

ISBN-13: 9781470454241

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Number Theory Revealed: A Masterclass acquaints enthusiastic students with the ""Queen of Mathematics"". The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additiona.


Book Synopsis Number Theory Revealed by : Andrew Granville

Download or read book Number Theory Revealed written by Andrew Granville and published by . This book was released on 1920 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: A Masterclass acquaints enthusiastic students with the ""Queen of Mathematics"". The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additiona.

Start with Why

Start with Why

Author: Simon Sinek

Publisher: Penguin

Published: 2011-12-27

Total Pages: 257

ISBN-13: 1591846447

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The inspirational bestseller that ignited a movement and asked us to find our WHY Discover the book that is captivating millions on TikTok and that served as the basis for one of the most popular TED Talks of all time—with more than 56 million views and counting. Over a decade ago, Simon Sinek started a movement that inspired millions to demand purpose at work, to ask what was the WHY of their organization. Since then, millions have been touched by the power of his ideas, and these ideas remain as relevant and timely as ever. START WITH WHY asks (and answers) the questions: why are some people and organizations more innovative, more influential, and more profitable than others? Why do some command greater loyalty from customers and employees alike? Even among the successful, why are so few able to repeat their success over and over? People like Martin Luther King Jr., Steve Jobs, and the Wright Brothers had little in common, but they all started with WHY. They realized that people won't truly buy into a product, service, movement, or idea until they understand the WHY behind it. START WITH WHY shows that the leaders who have had the greatest influence in the world all think, act and communicate the same way—and it's the opposite of what everyone else does. Sinek calls this powerful idea The Golden Circle, and it provides a framework upon which organizations can be built, movements can be led, and people can be inspired. And it all starts with WHY.


Book Synopsis Start with Why by : Simon Sinek

Download or read book Start with Why written by Simon Sinek and published by Penguin. This book was released on 2011-12-27 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inspirational bestseller that ignited a movement and asked us to find our WHY Discover the book that is captivating millions on TikTok and that served as the basis for one of the most popular TED Talks of all time—with more than 56 million views and counting. Over a decade ago, Simon Sinek started a movement that inspired millions to demand purpose at work, to ask what was the WHY of their organization. Since then, millions have been touched by the power of his ideas, and these ideas remain as relevant and timely as ever. START WITH WHY asks (and answers) the questions: why are some people and organizations more innovative, more influential, and more profitable than others? Why do some command greater loyalty from customers and employees alike? Even among the successful, why are so few able to repeat their success over and over? People like Martin Luther King Jr., Steve Jobs, and the Wright Brothers had little in common, but they all started with WHY. They realized that people won't truly buy into a product, service, movement, or idea until they understand the WHY behind it. START WITH WHY shows that the leaders who have had the greatest influence in the world all think, act and communicate the same way—and it's the opposite of what everyone else does. Sinek calls this powerful idea The Golden Circle, and it provides a framework upon which organizations can be built, movements can be led, and people can be inspired. And it all starts with WHY.

The Complete Book of Numerology

The Complete Book of Numerology

Author: David A. Phillips, Ph.D.

Publisher: Hay House, Inc

Published: 2005-11-01

Total Pages: 285

ISBN-13: 1401930255

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Discover the science of self-discovery To the conventional scientist, numbers are merely symbols of comparative quantities, but in the broader, metaphysical sense, they assume a deeper, more profound significance. The Complete Book of Numerology reveals the underlying meaning behind the numbers in your life and enables you to understand the connection between your numerological patterns and your degree of abundance, health, and general well-being. Overall, delving into the world of numbers will provide you with a simple and accurate way to decipher your experiences in the same manner that a road map helps you navigate a route that you haven’t previously traveled.


Book Synopsis The Complete Book of Numerology by : David A. Phillips, Ph.D.

Download or read book The Complete Book of Numerology written by David A. Phillips, Ph.D. and published by Hay House, Inc. This book was released on 2005-11-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the science of self-discovery To the conventional scientist, numbers are merely symbols of comparative quantities, but in the broader, metaphysical sense, they assume a deeper, more profound significance. The Complete Book of Numerology reveals the underlying meaning behind the numbers in your life and enables you to understand the connection between your numerological patterns and your degree of abundance, health, and general well-being. Overall, delving into the world of numbers will provide you with a simple and accurate way to decipher your experiences in the same manner that a road map helps you navigate a route that you haven’t previously traveled.

Think Like a Monk

Think Like a Monk

Author: Jay Shetty

Publisher: Simon & Schuster

Published: 2020-09-08

Total Pages: 352

ISBN-13: 1982134488

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Jay Shetty, social media superstar and host of the #1 podcast On Purpose, distills the timeless wisdom he learned as a monk into practical steps anyone can take every day to live a less anxious, more meaningful life. When you think like a monk, you’ll understand: -How to overcome negativity -How to stop overthinking -Why comparison kills love -How to use your fear -Why you can’t find happiness by looking for it -How to learn from everyone you meet -Why you are not your thoughts -How to find your purpose -Why kindness is crucial to success -And much more... Shetty grew up in a family where you could become one of three things—a doctor, a lawyer, or a failure. His family was convinced he had chosen option three: instead of attending his college graduation ceremony, he headed to India to become a monk, to meditate every day for four to eight hours, and devote his life to helping others. After three years, one of his teachers told him that he would have more impact on the world if he left the monk’s path to share his experience and wisdom with others. Heavily in debt, and with no recognizable skills on his résumé, he moved back home in north London with his parents. Shetty reconnected with old school friends—many working for some of the world’s largest corporations—who were experiencing tremendous stress, pressure, and unhappiness, and they invited Shetty to coach them on well-being, purpose, and mindfulness. Since then, Shetty has become one of the world’s most popular influencers. In 2017, he was named in the Forbes magazine 30-under-30 for being a game-changer in the world of media. In 2018, he had the #1 video on Facebook with over 360 million views. His social media following totals over 38 million, he has produced over 400 viral videos which have amassed more than 8 billion views, and his podcast, On Purpose, is consistently ranked the world’s #1 Health and Wellness podcast. In this inspiring, empowering book, Shetty draws on his time as a monk to show us how we can clear the roadblocks to our potential and power. Combining ancient wisdom and his own rich experiences in the ashram, Think Like a Monk reveals how to overcome negative thoughts and habits, and access the calm and purpose that lie within all of us. He transforms abstract lessons into advice and exercises we can all apply to reduce stress, improve relationships, and give the gifts we find in ourselves to the world. Shetty proves that everyone can—and should—think like a monk.


Book Synopsis Think Like a Monk by : Jay Shetty

Download or read book Think Like a Monk written by Jay Shetty and published by Simon & Schuster. This book was released on 2020-09-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jay Shetty, social media superstar and host of the #1 podcast On Purpose, distills the timeless wisdom he learned as a monk into practical steps anyone can take every day to live a less anxious, more meaningful life. When you think like a monk, you’ll understand: -How to overcome negativity -How to stop overthinking -Why comparison kills love -How to use your fear -Why you can’t find happiness by looking for it -How to learn from everyone you meet -Why you are not your thoughts -How to find your purpose -Why kindness is crucial to success -And much more... Shetty grew up in a family where you could become one of three things—a doctor, a lawyer, or a failure. His family was convinced he had chosen option three: instead of attending his college graduation ceremony, he headed to India to become a monk, to meditate every day for four to eight hours, and devote his life to helping others. After three years, one of his teachers told him that he would have more impact on the world if he left the monk’s path to share his experience and wisdom with others. Heavily in debt, and with no recognizable skills on his résumé, he moved back home in north London with his parents. Shetty reconnected with old school friends—many working for some of the world’s largest corporations—who were experiencing tremendous stress, pressure, and unhappiness, and they invited Shetty to coach them on well-being, purpose, and mindfulness. Since then, Shetty has become one of the world’s most popular influencers. In 2017, he was named in the Forbes magazine 30-under-30 for being a game-changer in the world of media. In 2018, he had the #1 video on Facebook with over 360 million views. His social media following totals over 38 million, he has produced over 400 viral videos which have amassed more than 8 billion views, and his podcast, On Purpose, is consistently ranked the world’s #1 Health and Wellness podcast. In this inspiring, empowering book, Shetty draws on his time as a monk to show us how we can clear the roadblocks to our potential and power. Combining ancient wisdom and his own rich experiences in the ashram, Think Like a Monk reveals how to overcome negative thoughts and habits, and access the calm and purpose that lie within all of us. He transforms abstract lessons into advice and exercises we can all apply to reduce stress, improve relationships, and give the gifts we find in ourselves to the world. Shetty proves that everyone can—and should—think like a monk.

Introduction to Aircraft Flight Mechanics

Introduction to Aircraft Flight Mechanics

Author: Thomas R. Yechout

Publisher: AIAA

Published: 2003

Total Pages: 666

ISBN-13: 9781600860782

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Based on a 15-year successful approach to teaching aircraft flight mechanics at the US Air Force Academy, this text explains the concepts and derivations of equations for aircraft flight mechanics. It covers aircraft performance, static stability, aircraft dynamics stability and feedback control.


Book Synopsis Introduction to Aircraft Flight Mechanics by : Thomas R. Yechout

Download or read book Introduction to Aircraft Flight Mechanics written by Thomas R. Yechout and published by AIAA. This book was released on 2003 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a 15-year successful approach to teaching aircraft flight mechanics at the US Air Force Academy, this text explains the concepts and derivations of equations for aircraft flight mechanics. It covers aircraft performance, static stability, aircraft dynamics stability and feedback control.