Book picks similar to
History of the Theory of Numbers, Volume III: Quadratic and Higher Forms by Leonard Eugene Dickson
mathematics
01-history-of-mathematics
reference
m-hist
Bali: Heaven and Hell
Phil Jarratt - 2014
Bali: Heaven and Hellis a tale begging to be told - a story of survival in the face of genocide, natural disaster, terrorism, cultural imperialism and corruption on a grand scale. Go behind the smiling face presented to generations of tourists and expats with Phil Jarratt, the award-winning author of over 20 books including Surfing Australia: A Complete History of Surfboard Riding in Australia and That Summer at Boomerang. Phil has first-hand experience of the glorious island at the morning of the world, having spent the past 40 years falling in and out of love with our favourite holiday destination.Jarratt weaves a page-turning story of treachery, deceit, debauchery and wholesale slaughter, set against the idyllic backdrop of a paradise on Earth, then cleverly segues into a modern-day tale of jaw-dropping surf, karma, sexual abandon, and a fusion of East and West that created the modern tourist hot spot.David Hill, Chairman, National Geographic Channels US
Basic Category Theory for Computer Scientists
Benjamin C. Pierce - 1991
Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts.
Mathematical Methods for Physics and Engineering: A Comprehensive Guide
K.F. Riley - 1998
As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
The Universal History of Numbers: From Prehistory to the Invention of the Computer
Georges Ifrah - 1981
A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.
Think Stats
Allen B. Downey - 2011
This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python.You'll work with a case study throughout the book to help you learn the entire data analysis process—from collecting data and generating statistics to identifying patterns and testing hypotheses. Along the way, you'll become familiar with distributions, the rules of probability, visualization, and many other tools and concepts.Develop your understanding of probability and statistics by writing and testing codeRun experiments to test statistical behavior, such as generating samples from several distributionsUse simulations to understand concepts that are hard to grasp mathematicallyLearn topics not usually covered in an introductory course, such as Bayesian estimationImport data from almost any source using Python, rather than be limited to data that has been cleaned and formatted for statistics toolsUse statistical inference to answer questions about real-world data
The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine
Charles Petzold - 2008
Turing
Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.
Proofs from the Book, 3e
Martin Aigner - 1998
Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."
Elementary Linear Algebra with Applications
Howard Anton - 1973
It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. The applications version features a wide variety of interesting, contemporary applications. Clear, accessible, step-by-step explanations make the material crystal clear. Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
Inside Oregon State Hospital: A History of Tragedy and Triumph (Landmarks)
Diane Goeres-Gardner - 2013
In desperate attempts to cure their patients, physicians injected them with deadly medications, cut holes in their heads, and sterilized them. Years of insufficient funding caused the hospital to decay into a crumbling facility with too few staff, as seen in the 1975 film "One Flew Over the Cuckoo's Nest." Today, after a $360 million makeover, Oregon State Hospital is a modern treatment hospital for the state's civil and forensic mentally ill. In this compelling account of the institution's tragedies and triumphs, author Diane Goeres-Gardner offers an unparalleled look at the very human story of Oregon's historic asylum.
Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World
Amir Alexander - 2014
With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.
Fundamentals of Modern Manufacturing: Materials, Processes, and Systems
Mikell P. Groover - 2000
It follows a more quantitative and design-oriented approach than other texts in the market, helping readers gain a better understanding of important concepts. They'll also discover how material properties relate to the process variables in a given process as well as how to perform manufacturing science and quantitative engineering analysis of manufacturing processes.
Haunting Tales by Mary Downing Hahn
Mary Downing Hahn - 2011
Three of Mary Downing Hahn’s scariest ghost stories are in this handsome boxed set: Wait Till Helen Comes, All the Lovely Bad Ones, and Deep and Dark and Dangerous.
Operation Watchtower: 1942 Battle for Guadalcanal
Daniel Wrinn - 2020
What followed was a 6-month string of devastating battles as these two forces wrestled over this key military position.In the wake of near-daily aerial attacks and several determined assaults from the Japanese navy, the Guadalcanal campaign culminated in a victory for America and marked the first of many offensive attacks aimed at neutralizing the Japanese in the Pacific Theater.Now, this thrilling book recounts the story of the Guadalcanal campaign in vivid, gritty detail. Exploring the forces involved, the major battles, and the daily struggle of trying to maintain control of the coveted Henderson airfield, Operation Watchtower examines the pivotal moments which led to the Allies seizing the strategic initiative in a key turning point of the war.Perfect for fans of WW2 history books covering the pacific, this brilliant book pays tribute to the brave soldiers on both sides of the conflict, recounting their story for both passionate history fans and anyone searching for an in-depth look at of one the greatest battles of World War 2.
Computer Age Statistical Inference: Algorithms, Evidence, and Data Science
Bradley Efron - 2016
'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.