The American Mathematical Monthly PDF Download
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Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 472
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 472
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Book Description
Author: Aimee Johnson
Publisher: American Mathematical Soc.
ISBN: 1614441243
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules each with an opening exploration, a short exposition and related exercises, and a concluding project guide students to self-discovery on topics such as fixed points and their classifications, chaos and fractals, Julia and Mandelbrot sets in the complex plane, and symbolic dynamics. Topics have been carefully chosen as a means for developing student persistence and skill in exploration, conjecture, and generalization while at the same time providing a coherent introduction to the fundamentals of discrete dynamical systems. This book is written for undergraduate students with the prerequisites for a first analysis course, and it can easily be used by any faculty member in a mathematics department, regardless of area of expertise. Each module starts with an exploration in which the students are asked an open-ended question. This allows the students to make discoveries which lead them to formulate the questions that will be addressed in the exposition and exercises of the module. The exposition is brief and has been written with the intent that a student who has taken, or is ready to take, a course in analysis can read the material independently. The exposition concludes with exercises which have been designed to both illustrate and explore in more depth the ideas covered in the exposition. Each module concludes with a project in which students bring the ideas from the module to bear on a more challenging or in-depth problem. A section entitled "To the Instructor" includes suggestions on how to structure a course in order to realize the inquiry-based intent of the book. The book has also been used successfully as the basis for an independent study course and as a supplementary text for an analysis course with traditional content.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 476
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Book Description
"A complete catalogue of the writings of Sir John Herschel": v. 3, p. 220-227.
Author: Stanley Rabinowitz
Publisher: MathPro Press
ISBN: 9780962640124
Category : Mathematics
Languages : en
Pages : 548
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Author:
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ISBN:
Category :
Languages : en
Pages :
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Author: John Ewing
Publisher: American Mathematical Soc.
ISBN: 1470457474
Category : Mathematics
Languages : en
Pages : 335
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Book Description
Author: Mathematical Association of America
Publisher: Legare Street Press
ISBN: 9781021744531
Category : Biography & Autobiography
Languages : en
Pages : 0
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Book Description
Founded in 1894, The American Mathematical Monthly is one of the world's premier journals of mathematics. With articles covering a wide range of topics in pure and applied math, the Monthly is an indispensable resource for mathematicians at all levels. This authoritative publication is a must-read for anyone interested in the latest developments in mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Aubrey Clayton
Publisher: Columbia University Press
ISBN: 0231553358
Category : Mathematics
Languages : en
Pages : 641
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Book Description
There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics. Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach—that is, to incorporate prior knowledge when reasoning with incomplete information—in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.
Author: Hongwei Chen
Publisher: CRC Press
ISBN: 1000402282
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (AMM) the author has worked over the last two decades. Each selected problem has a central theme, contains gems of sophisticated ideas connected to important current research, and opens new vistas in the understanding of mathematics. The AMM problem section provides one of the most challenging and interesting problem sections among the various journals and online sources currently available. The published problems and solutions have become a treasure trove rife with mathematical gems. The author presents either his published solution in the AMM or an alternative solution to the published one to present and develop problem-solving techniques. A rich glossary of important theorems and formulas is included for easy reference. The reader may regard this book as a starter set for AMM problems, providing a jumping of point to new ideas, and extending their personal lexicon of problems and solutions. This collection is intended to encourage the reader to move away from routine exercises toward creative solutions, as well as offering the reader a systematic illustration of how to organize the transition from problem solving to exploring, investigating and discovering new results.
Author: John Ewing
Publisher: Cambridge University Press
ISBN: 9780883854570
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This is the story of American mathematics during the past century. It contains articles and excerpts from a century of the American Mathematical Monthly, giving the reader an opportunity to skim all one hundred volumes of this popular mathematics magazine without actually opening them. It samples mathematics year by year and decade by decade. The reader can glimpse the mathematical community at the turn of the century, the controversy about Einstein and relativity, the debates about formalism in logic, the immigration of mathematicians from Europe, and the frantic effort to organize as the war began. More recent articles deal with the advent of computers and the changes they brought, and with some of the triumphs of modern research.
