Number Theory Revealed A Masterclass

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Number Theory Revealed A Masterclass

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Author : Andrew Granville
language : en
Publisher: American Mathematical Society
Release Date : 2020-09-23

Number Theory Revealed A Masterclass written by Andrew Granville and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Mathematics categories.

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.

An Illustrated Theory Of Numbers

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Author : Martin H. Weissman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-15

An Illustrated Theory Of Numbers written by Martin H. Weissman 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 2020-09-15 with Education categories.

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.

Analytic Methods In Number Theory When Complex Numbers Count

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Author : Wadim Zudilin
language : en
Publisher: World Scientific
Release Date : 2023-08-22

Analytic Methods In Number Theory When Complex Numbers Count written by Wadim Zudilin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-22 with Mathematics categories.

There is no surprise that arithmetic properties of integral ('whole') numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves happen to be interesting numbers, for which we often seek explicit expressions in terms of other 'better known' numbers or try to prove that no such exist. This natural symbiosis of number theory and analysis is centuries old but keeps enjoying new results, ideas and methods.The present book takes a semi-systematic review of analytic achievements in number theory ranging from classical themes about primes, continued fractions, transcendence of π and resolution of Hilbert's seventh problem to some recent developments on the irrationality of the values of Riemann's zeta function, sizes of non-cyclotomic algebraic integers and applications of hypergeometric functions to integer congruences.Our principal goal is to present a variety of different analytic techniques that are used in number theory, at a reasonably accessible — almost popular — level, so that the materials from this book can suit for teaching a graduate course on the topic or for a self-study. Exercises included are of varying difficulty and of varying distribution within the book (some chapters get more than other); they not only help the reader to consolidate their understanding of the material but also suggest directions for further study and investigation. Furthermore, the end of each chapter features brief notes about relevant developments of the themes discussed.

Number Theory Revealed An Introduction

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Author : Andrew Granville
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-11-12

Number Theory Revealed An Introduction written by Andrew Granville 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 2019-11-12 with Education categories.

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.

Chemistry Teacher Guide

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Author : Dr. Dennis Englin
language : en
Publisher: New Leaf Publishing Group
Release Date : 2018-02-26

Chemistry Teacher Guide written by Dr. Dennis Englin and has been published by New Leaf Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-26 with Science categories.

This book was created to help teachers as they instruct students through the Master’s Class Chemistry course by Master Books. The teacher is one who guides students through the subject matter, helps each student stay on schedule and be organized, and is their source of accountability along the way. With that in mind, this guide provides additional help through the laboratory exercises, as well as lessons, quizzes, and examinations that are provided along with the answers. The lessons in this study emphasize working through procedures and problem solving by learning patterns. The vocabulary is kept at the essential level. Practice exercises are given with their answers so that the patterns can be used in problem solving. These lessons and laboratory exercises are the result of over 30 years of teaching home school high school students and then working with them as they proceed through college. Guided labs are provided to enhance instruction of weekly lessons. There are many principles and truths given to us in Scripture by the God that created the universe and all of the laws by which it functions. It is important to see the hand of God and His principles and wisdom as it plays out in chemistry. This course integrates what God has told us in the context of this study. Features: Each suggested weekly schedule has five easy-to-manage lessons that combine reading and worksheets. Worksheets, quizzes, and tests are perforated and three-hole punched — materials are easy to tear out, hand out, grade, and store. Adjust the schedule and materials needed to best work within your educational program. Space is given for assignments dates. There is flexibility in scheduling. Adapt the days to your school schedule. Workflow: Students will read the pages in their book and then complete each section of the teacher guide. They should be encouraged to complete as many of the activities and projects as possible as well. Tests are given at regular intervals with space to record each grade. About the Author: DR. DENNIS ENGLIN earned his bachelor’s from Westmont College, his master of science from California State University, and his EdD from the University of Southern California. He enjoys teaching animal biology, vertebrate biology, wildlife biology, organismic biology, and astronomy at The Master’s University. His professional memberships include the Creation Research Society, the American Fisheries Association, Southern California Academy of Sciences, Yellowstone Association, and Au Sable Institute of Environmental Studies.

Proficiency Masterclass

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Author : Kathy Gude
language : en
Publisher:
Release Date : 1994

Proficiency Masterclass written by Kathy Gude and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Applied Corporate Finance

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Author : Aswath Damodaran
language : en
Publisher: John Wiley & Sons
Release Date : 2014-10-27

Applied Corporate Finance written by Aswath Damodaran and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-27 with Business & Economics categories.

Aswath Damodaran, distinguished author, Professor of Finance, and David Margolis, Teaching Fellow at the NYU Stern School of Business, have delivered the newest edition of Applied Corporate Finance. This readable text provides the practical advice students and practitioners need rather than a sole concentration on debate theory, assumptions, or models. Like no other text of its kind, Applied Corporate Finance, 4th Edition applies corporate finance to real companies. It now contains six real-world core companies to study and follow. Business decisions are classified for students into three groups: investment, financing, and dividend decisions.

Color Correction Handbook

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Author : Alexis Van Hurkman
language : en
Publisher: Peachpit Press
Release Date : 2013-11-18

Color Correction Handbook written by Alexis Van Hurkman and has been published by Peachpit Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-18 with Computers categories.

The colorist is responsible for the critical final stage of refinement of the film and broadcast image. Using all of the controls modern color correction software provides, colorists refine the mood, create style, add polish to scenes, and breathe life into the visuals. The craft of color correction can take considerable trial and error to learn, while the art of color grading takes years to perfect. Alexis Van Hurkman draws on his wealth of industry experience to provide a thoroughly updated edition of what has become the standard guide to color correction. Using a friendly, clear teaching style and a slew of real-world examples and anecdotes, Alexis demonstrates how to achieve professional results for any project, using any number of dedicated grading applications, or even an editing program’s built-in color correction tools. From the most basic methods for evaluating and correcting an overall image to the most advanced targeted corrections and creative stylizations, Color Correction Handbook, Second Edition, is your one-stop guide. Among many valuable concepts and techniques, you’ll learn to: • Set up a professional color correction environment using the latest technologies and adhere to the most up-to-date standards • Work with log-encoded media and LUTs • Analyze shots quickly and correct errors of color and exposure • Create idealized adjustments for key features such as skin tone, skies, and product shots • Develop strategies for balancing clips in a scene to match one another for continuity, and grading greenscreen clips destined for visual effects • Master a variety of stylistic techniques used to set a scene’s mood • Apply principles of color and contrast to add depth and visual interest • Browse valuable research about memory colors, audience preferences, and critical corrections for achieving appealing skin tones and controlled environments • Follow along with the downloadable files that accompany this book, including HD footage, cross-platform exercises, and project files.

Wellbeing Freedom And Social Justice

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Author : Ingrid Robeyns
language : en
Publisher: Open Book Publishers
Release Date : 2017-12-11

Wellbeing Freedom And Social Justice written by Ingrid Robeyns and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-11 with Political Science categories.

How do we evaluate ambiguous concepts such as wellbeing, freedom, and social justice? How do we develop policies that offer everyone the best chance to achieve what they want from life? The capability approach, a theoretical framework pioneered by the philosopher and economist Amartya Sen in the 1980s, has become an increasingly influential way to think about these issues. Wellbeing, Freedom and Social Justice: The Capability Approach Re-Examined is both an introduction to the capability approach and a thorough evaluation of the challenges and disputes that have engrossed the scholars who have developed it. Ingrid Robeyns offers her own illuminating and rigorously interdisciplinary interpretation, arguing that by appreciating the distinction between the general capability approach and more specific capability theories or applications we can create a powerful and flexible tool for use in a variety of academic disciplines and fields of policymaking. This book provides an original and comprehensive account that will appeal to scholars of the capability approach, new readers looking for an interdisciplinary introduction, and those interested in theories of justice, human rights, basic needs, and the human development approach.

The Lying Life Of Adults

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Author : Elena Ferrante
language : en
Publisher: Europa Editions
Release Date : 2020-09-01

The Lying Life Of Adults written by Elena Ferrante and has been published by Europa Editions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-01 with Fiction categories.

The New York Times–bestseller set in a divided Naples—now a Netflix original series—from the acclaimed author of My Brilliant Friend and The Lost Daughter. A BEST BOOK OF 2020 The Washington Post·O, The Oprah Magazine·TIME Magazine·NPR·People Magazine·The New York Times Critics·The Guardian·Electric Literature·Financial Times·Times UK·Irish Times·New York Post·Kirkus Reviews·Toronto Star·The Globe and Mail·Harper’s Bazaar·Vogue UK·The Arts Desk Giovanna’s pretty face is changing, turning ugly, at least so her father thinks. Giovanna, he says, looks more like her Aunt Vittoria every day. But can it be true? Is she really changing? Is she turning into her Aunt Vittoria, a woman she hardly knows but whom her mother and father clearly despise? Surely there is a mirror somewhere in which she can see herself as she truly is. Giovanna is searching for her reflection in two kindred cities that fear and detest one another: Naples of the heights, which assumes a mask of refinement, and Naples of the depths, a place of excess and vulgarity. She moves from one to the other in search of the truth, but neither city seems to offer answers or escape. “Another spellbinding coming-of-age tale from a master.” —People Magazine, Top 10 Books of 2020 “The literary event of the year.” —Elle “Ms. Ferrante once again, with undiminished skill and audacity, creates an emotional force field that has at its heart a young girl on the brink of womanhood.” —The Wall Street Journal