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Author : Steven G. Krantz
Publisher : Cambridge University Press
Page : 308 pages
File Size : 40,6 Mb
Release : 2005
Category : Biography & Autobiography
ISBN : 0883855542
A volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians.
Author : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 214 pages
File Size : 49,5 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457389
Author : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 43,9 Mb
Release : 2019-11-25
Category : Mathematics
ISBN : 9781470451721
A companion to Mathematical Apocrypha (published in 2002) this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. It differs from other books of its type in that many of the stories are from the twentieth century and many about currently living mathematicians. A number of the best stories come from the author's first-hand experience. The writing is lively, engaging, and informative. There are stories the reader may wish to share with students and colleagues, friends, and relatives. The purpose of the book is to explore and to celebrate the many facets of mathematical life. The stories reveal mathematicians as intense, human, and sympathetic. They should resonate with readers everywhere. This book will appeal to students from high school through graduate school, to faculty and mathematical scientists of all stripes, and also to physicists, engineer, and anyone interested in mathematics.
Author : Reuben Hersh,Vera John-Steiner
Publisher : Princeton University Press
Page : 432 pages
File Size : 48,7 Mb
Release : 2010-12-13
Category : Mathematics
ISBN : 1400836115
Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
Author : L J P Kilford
Publisher : World Scientific Publishing Company
Page : 252 pages
File Size : 50,9 Mb
Release : 2015-03-12
Category : Mathematics
ISBN : 9781783265473
Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of π. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it. This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.
Author : Amy S. Wagaman,Robert P. Dobrow
Publisher : John Wiley & Sons
Page : 546 pages
File Size : 43,5 Mb
Release : 2021-06-11
Category : Mathematics
ISBN : 9781119692416
Discover the latest edition of a practical introduction to the theory of probability, complete with R code samples In the newly revised Second Edition of Probability: With Applications and R, distinguished researchers Drs. Robert Dobrow and Amy Wagaman deliver a thorough introduction to the foundations of probability theory. The book includes a host of chapter exercises, examples in R with included code, and well-explained solutions. With new and improved discussions on reproducibility for random numbers and how to set seeds in R, and organizational changes, the new edition will be of use to anyone taking their first probability course within a mathematics, statistics, engineering, or data science program. New exercises and supplemental materials support more engagement with R, and include new code samples to accompany examples in a variety of chapters and sections that didn’t include them in the first edition. The new edition also includes for the first time: A thorough discussion of reproducibility in the context of generating random numbers Revised sections and exercises on conditioning, and a renewed description of specifying PMFs and PDFs Substantial organizational changes to improve the flow of the material Additional descriptions and supplemental examples to the bivariate sections to assist students with a limited understanding of calculus Perfect for upper-level undergraduate students in a first course on probability theory, Probability: With Applications and R is also ideal for researchers seeking to learn probability from the ground up or those self-studying probability for the purpose of taking advanced coursework or preparing for actuarial exams.
Author : Santhosh Mathew
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 41,6 Mb
Release : 2013-11-08
Category : Science
ISBN : 9783319018874
This book is a collection of fourteen essays that describe an inspiring journey through the universe and discusses popular science topics that modern physics and cosmology are struggling to deal with. What is our place in the universe and what happens in the magnificent cosmos where we exist for a brief amount of time. In an unique way that incorporates mythological and philosophical perspectives, the essays in this work address the big questions of what the universe is, how it came into being, and where it may be heading. This exciting adventure is a rich scientific history of elegant physics, mathematics, and cosmology as well as a philosophical and spiritual pursuit fueled by the human imagination.
Author : Paul A. Kirschner,Carl Hendrick
Publisher : Taylor & Francis
Page : 378 pages
File Size : 54,5 Mb
Release : 2024-03-29
Category : Education
ISBN : 9781003849360
How Learning Happens introduces 32 giants of educational research and their findings on how we learn and what we need to know to learn effectively, efficiently, and enjoyably. Many of these works have inspired researchers and teachers all around the world and have left a mark on how we teach today. Now updated to include a new section on Memory and Cognition with five new chapters, this revised second edition explores a selection of the key works on learning and teaching, chosen from the fields of educational psychology and cognitive psychology. It offers a roadmap of the most important discoveries in the way learning happens, with each chapter examining a different work and explaining its significance before describing the research, its implications for practice, and how it can be used in the classroom – including the key takeaways for teachers. Clearly divided into seven sections, the book covers: Memory and cognition How the brain works Prerequisites for learning How learning can be supported Teacher activities Learning in context Cautionary tales Written by two leading experts and illustrated by Oliver Caviglioli, this is essential reading for teachers wanting to fully engage with and understand educational research as well as undergraduate students in the fields of education, educational psychology, and the learning sciences.
Author : Robert P. Dobrow
Publisher : John Wiley & Sons
Page : 366 pages
File Size : 42,8 Mb
Release : 2013-10-16
Category : Mathematics
ISBN : 9781118589441
An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications essential to obtaining a thorough understanding of probability. With real-life examples and thoughtful exercises from fields as diverse as biology, computer science, cryptology, ecology, public health, and sports, the book is accessible for a variety of readers. The book’s emphasis on simulation through the use of the popular R software language clarifies and illustrates key computational and theoretical results. Probability: With Applications and R helps readers develop problem-solving skills and delivers an appropriate mix of theory and application. The book includes: Chapters covering first principles, conditional probability, independent trials, random variables, discrete distributions, continuous probability, continuous distributions, conditional distribution, and limits An early introduction to random variables and Monte Carlo simulation and an emphasis on conditional probability, conditioning, and developing probabilistic intuition An R tutorial with example script files Many classic and historical problems of probability as well as nontraditional material, such as Benford’s law, power-law distributions, and Bayesian statistics A topics section with suitable material for projects and explorations, such as random walk on graphs, Markov chains, and Markov chain Monte Carlo Chapter-by-chapter summaries and hundreds of practical exercises Probability: With Applications and R is an ideal text for a beginning course in probability at the undergraduate level.
Author : Anonim
Publisher : Unknown
Page : 488 pages
File Size : 54,9 Mb
Release : 2006
Category : Mathematics
ISBN : UCSD:31822036050078
Author : David S. Richeson
Publisher : Princeton University Press
Page : 450 pages
File Size : 43,7 Mb
Release : 2021-11-02
Category : Mathematics
ISBN : 9780691218724
A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
Author : Peter Casazza,Steven G. Krantz,Randi D. Ruden
Publisher : The Mathematical Association of America
Page : 289 pages
File Size : 53,9 Mb
Release : 2015-03-10
Category : Mathematics
ISBN : 9780883855850
Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.
Author : Anonim
Publisher : Unknown
Page : 368 pages
File Size : 51,5 Mb
Release : 2005
Category : Mathematics
ISBN : UOM:39015072603015
Author : Jane Muir
Publisher : Courier Corporation
Page : 276 pages
File Size : 52,8 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 0486289737
Fascinating accounts of the lives and accomplishments of history's greatest mathematical minds, from Pythagoras to Georg Cantor. Muir also provides charming anecdotes about Descartes, Euler, Pascal, and many others, as well as accessible discussions of their contributions to mathematical thought. 30 diagrams. Bibliography.
Author : Julian Havil
Publisher : Princeton University Press
Page : 320 pages
File Size : 46,5 Mb
Release : 2023-06-13
Category : Mathematics
ISBN : 9780691247670
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.