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.

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.

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.

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.

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.

Number Theory Revealed
Number Theory Revealed

Author: Andrew Granville

Publisher:

Published: 1920

Total Pages: 264

ISBN-13: 9781470454234

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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 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 rea.

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.

Introducing Microsoft Power BI
Introducing Microsoft Power BI

Author: Alberto Ferrari

Publisher: Microsoft Press

Published: 2016-07-07

Total Pages: 453

ISBN-13: 1509302751

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Introducing Microsoft Power BI enables you to evaluate when and how to use Power BI. Get inspired to improve business processes in your company by leveraging the available analytical and collaborative features of this environment. Be sure to watch for the publication of Alberto Ferrari and Marco Russo's upcoming retail book, Analyzing Data with Power BI and Power Pivot for Excel (ISBN 9781509302765). Go to the book's page at the Microsoft Press Store here for more details:http://aka.ms/analyzingdata/details. Learn more about Power BI at https://powerbi.microsoft.com/.

Practical Discrete Mathematics
Practical Discrete Mathematics

Author: Ryan T. White

Publisher: Packt Publishing Ltd

Published: 2021-02-22

Total Pages: 330

ISBN-13: 1838983503

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A practical guide simplifying discrete math for curious minds and demonstrating its application in solving problems related to software development, computer algorithms, and data science Key FeaturesApply the math of countable objects to practical problems in computer scienceExplore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematicsLearn complex statistical and mathematical concepts with the help of hands-on examples and expert guidanceBook Description Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you'll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you'll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you'll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning. What you will learnUnderstand the terminology and methods in discrete math and their usage in algorithms and data problemsUse Boolean algebra in formal logic and elementary control structuresImplement combinatorics to measure computational complexity and manage memory allocationUse random variables, calculate descriptive statistics, and find average-case computational complexitySolve graph problems involved in routing, pathfinding, and graph searches, such as depth-first searchPerform ML tasks such as data visualization, regression, and dimensionality reductionWho this book is for This book is for computer scientists looking to expand their knowledge of discrete math, the core topic of their field. University students looking to get hands-on with computer science, mathematics, statistics, engineering, or related disciplines will also find this book useful. Basic Python programming skills and knowledge of elementary real-number algebra are required to get started with this book.

Stories of Your Life and Others
Stories of Your Life and Others

Author: Ted Chiang

Publisher: Knopf

Published: 2010-10-26

Total Pages: 298

ISBN-13: 1931520895

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From the author of Exhalation, an award-winning short story collection that blends "absorbing storytelling with meditations on the universe, being, time and space ... raises questions about the nature of reality and what it is to be human" (The New York Times). Stories of Your Life and Others delivers dual delights of the very, very strange and the heartbreakingly familiar, often presenting characters who must confront sudden change—the inevitable rise of automatons or the appearance of aliens—with some sense of normalcy. With sharp intelligence and humor, Chiang examines what it means to be alive in a world marked by uncertainty, but also by beauty and wonder. An award-winning collection from one of today's most lauded writers, Stories of Your Life and Others is a contemporary classic. Includes “Story of Your Life”—the basis for the major motion picture Arrival