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Author : Stanley Rabinowitz
Publisher : MathPro Press
ISBN 13 : 9780962640124
Total Pages : 548 pages
Book Rating : 4.6/5 (41 download)
Download or read book Index to Mathematical Problems, 1975-1979 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aubrey Clayton
Publisher : Columbia University Press
ISBN 13 : 0231553358
Total Pages : 641 pages
Book Rating : 4.2/5 (315 download)
Download or read book Bernoulli's Fallacy written by Aubrey Clayton and published by Columbia University Press. This book was released on 2021-08-03 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.3/5 (91 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1918 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes section "Recent publications."
Author :
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.:/5 (36 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1894 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James P. Keener
Publisher :
ISBN 13 : 9781470464141
Total Pages : pages
Book Rating : 4.4/5 (641 download)
Download or read book Biology in Time and Space written by James P. Keener and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ravi Vakil
Publisher : Brendan Kelly Publishing Inc.
ISBN 13 : 9781895997040
Total Pages : 258 pages
Book Rating : 4.9/5 (97 download)
Download or read book A Mathematical Mosaic written by Ravi Vakil and published by Brendan Kelly Publishing Inc.. This book was released on 1996 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Powerful problem solving ideas that focus on the major branches of mathematics and their interconnections.
Author : Luis F. Moreno
Publisher : The Mathematical Association of America
ISBN 13 : 1939512050
Total Pages : 681 pages
Book Rating : 4.9/5 (395 download)
Download or read book An Invitation to Real Analysis written by Luis F. Moreno and published by The Mathematical Association of America. This book was released on 2015-05-17 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and as foundation for deeper reasoning in applied mathematics. This book also provides a broader foundation in real analysis than is typical for future teachers of secondary mathematics. In connection with this, within the chapters, students are pointed to numerous articles from The College Mathematics Journal and The American Mathematical Monthly. These articles are inviting in their level of exposition and their wide-ranging content. Axioms are presented with an emphasis on the distinguishing characteristics that new ones bring, culminating with the axioms that define the reals. Set theory is another theme found in this book, beginning with what students are familiar with from basic calculus. This theme runs underneath the rigorous development of functions, sequences, and series, and then ends with a chapter on transfinite cardinal numbers and with chapters on basic point-set topology. Differentiation and integration are developed with the standard level of rigor, but always with the goal of forming a firm foundation for the student who desires to pursue deeper study. A historical theme interweaves throughout the book, with many quotes and accounts of interest to all readers. Over 600 exercises and dozens of figures help the learning process. Several topics (continued fractions, for example), are included in the appendices as enrichment material. An annotated bibliography is included.
Author : D. B. Fuks
Publisher : American Mathematical Soc.
ISBN 13 : 0821843168
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Omnibus written by D. B. Fuks and published by American Mathematical Soc.. This book was released on 2007 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Author : Hongwei Chen
Publisher : CRC Press
ISBN 13 : 1000402282
Total Pages : 324 pages
Book Rating : 4.0/5 (4 download)
Download or read book Monthly Problem Gems written by Hongwei Chen and published by CRC Press. This book was released on 2021-07-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kiran Sridhara Kedlaya
Publisher : MAA
ISBN 13 : 9780883858073
Total Pages : 360 pages
Book Rating : 4.8/5 (58 download)
Download or read book The William Lowell Putnam Mathematical Competition 1985-2000 written by Kiran Sridhara Kedlaya and published by MAA. This book was released on 2002 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.
Author : Edward R. Scheinerman
Publisher : Yale University Press
ISBN 13 : 0300223005
Total Pages : 295 pages
Book Rating : 4.3/5 (2 download)
Download or read book The Mathematics Lover's Companion written by Edward R. Scheinerman and published by Yale University Press. This book was released on 2017-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-three mathematical masterpieces for exploration and enlightenment How can a shape have more than one dimension but fewer than two? What is the best way to elect public officials when more than two candidates are vying for the office? Is it possible for a highly accurate medical test to give mostly incorrect results? Can you tile your floor with regular pentagons? How can you use only the first digit of sales numbers to determine if your accountant is lying? Can mathematics give insights into free will? Edward Scheinerman, an accomplished mathematician and enthusiastic educator, answers all these questions and more in this book, a collection of mathematical masterworks. In bite-sized chapters that require only high school algebra, he invites readers to try their hands at solving mathematical puzzles and provides an engaging and friendly tour of numbers, shapes, and uncertainty. The result is an unforgettable introduction to the fundamentals and pleasures of thinking mathematically.
Author : Marcia Ascher
Publisher : CRC Press
ISBN 13 : 9780412989414
Total Pages : 218 pages
Book Rating : 4.9/5 (894 download)
Download or read book Ethnomathematics written by Marcia Ascher and published by CRC Press. This book was released on 1994-05-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or "small-scale", cultures often omitted from discussion of mathematics. Topics such as "Numbers: Words and Symbols", "Tracing Graphs in the Sand", "The Logic of Kin Relations", "Chance and Strategy in Games and Puzzles", and "The Organization and Modeling of Space" are traced in various cultures including the Inuit, Navajo, and Iroquois of North America; the Inca of South America; the Malekula, Warlpiri, Maori, and Caroline Islanders of Oceania, and the Tshokwe, Bushoong, and Kpelle of Africa. As Ascher explores mathematical ideas involving numbers, logic, spatial configuration, and the organization of these into systems and structures, readers gain both a broader understanding and anappreciation for the idease of other peoples.
Author : Róbert Freud
Publisher : American Mathematical Soc.
ISBN 13 : 1470452758
Total Pages : 563 pages
Book Rating : 4.4/5 (74 download)
Download or read book Number Theory written by Róbert Freud and published by American Mathematical Soc.. This book was released on 2020-10-08 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory is a newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, arithmetic functions, and so on. It also introduces several more advanced topics including congruences of higher degree, algebraic number theory, combinatorial number theory, primality testing, and cryptography. The development is carefully laid out with ample illustrative examples and a treasure trove of beautiful and challenging problems. The exposition is both clear and precise. The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300248814
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.
Author : Antal E. Fekete
Publisher : CRC Press
ISBN 13 : 9780824772383
Total Pages : 464 pages
Book Rating : 4.7/5 (723 download)
Download or read book Real Linear Algebra written by Antal E. Fekete and published by CRC Press. This book was released on 1985-01-25 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard Gillman
Publisher : American Mathematical Society
ISBN 13 : 1470469804
Total Pages : 61 pages
Book Rating : 4.4/5 (74 download)
Download or read book Writing Mathematics Well written by Leonard Gillman and published by American Mathematical Society. This book was released on 2022-06-23 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good writing conveys more than the author originally had in mind, while poor writing conveys less. Well written papers are more quickly accepted and put into print and more widely read and appreciated than poorly written ones—and for notes, monographs, and books the quality of writing is of more importance that it is for papers. In Writing Mathematics Well, Leonard Gillman tells his readers how to develop a clear and effective style. All aspects of mathematical writing are covered, from general organization and choice of title, to the presentation of results, to fine points on using words and symbols, to revision, and, finally, to the mechanics of putting your manuscript into print. No book can by itself make you a better writer, but this one will alert you to the opportunities for better and more forceful writing. It does this both by precept and by example. This is no bland collection of rules, but a lively guide in the style of Strunk and White or Fowler—a book to be read for its sharpness and wit as well as for enlightenment. Writing Mathematics Well should be on the shelf of anyone who writes or intends to write mathematics. It will amuse and delight the already careful writer and it will help reform and refine the sensibilities of those who may be somewhat careless about their writing.
Author : John Ewing
Publisher : Cambridge University Press
ISBN 13 : 9780883854570
Total Pages : 348 pages
Book Rating : 4.8/5 (545 download)
Download or read book A Century of Mathematics written by John Ewing and published by Cambridge University Press. This book was released on 1996-09-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
