Anybody intrigued by the history and development of math and science should get this beast tome. A monster book with a ton to investigate, however not extremely straightforward. It astonished me most with the previous mathematicians. I would have expected to comprehend them since what they found are moderately straightforward things that I, for the most part, learned in secondary school, yet they examine it in geometrical language that is disorientingly not the same as present-day methods for discussing it.
This broad collection enables perusers to look into the brain of virtuoso by furnishing them with extracts from the first mathematical pieces of evidence and results. It likewise encourages them to comprehend the movement of mathematical ideas and the very establishments of our present-day advances.
Every part starts with a life story of the highlighted mathematician, unmistakably clarifying the importance of the outcome, trailed by the full verification of the work, recreated from the first production. Read this E-book on Amazon Kindle Unlimited. Start Your Free Trial Now. Get your book. Your email address will not be published. Save my name, email, and website in this browser for the next time I comment.
He was neither. In Hawking Hawking, science journalist Charles Seife explores how Stephen Hawking came to be thought of as humanity's greatest genius. Hawking spent his career grappling with deep questions in physics, but his renown didn't rest on his science.
He was a master of self-promotion, hosting parties for time travelers, declaring victory over problems he had not solved, and wooing billionaires. In a wheelchair and physically dependent on a cadre of devotees, Hawking still managed to captivate the people around him—and use them for his own purposes. It is the story of a man whose brilliance in physics was matched by his genius for building his own myth.
After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again.
Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces.
In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference.
This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The active participation of everyone present made the conference lively and stimulating.
All of this made our efforts worth while. This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics.
Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others. This book covers milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions. Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world.
He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still actively involved in the mathematics community. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into seven volumes, with the first five volumes divided thematically and the sixth and seventh arranged by date.
This seventh volume in Michael Atiyah's Collected Works contains a selection of his publications between and , including his work on skyrmions; K-theory and cohomology; geometric models of matter; curvature, cones and characteristic numbers; and reflections on the work of Riemann, Einstein and Bott.
This book presents a compendium style account of a comprehensive mathematical journey from Arithmetic to Algebra. It contains material that is helpful to graduate and advanced undergraduate students in mathematics, university and college professors teaching mathematics, as well as some mathematics teachers teaching in the final year of high school. A successful teacher must know more than what a particular course curriculum asks for.
A number of topics that are missing in present-day textbooks, and which may be attractive to students at the graduate or advanced undergraduate level in mathematics, for example, continued fractions, arithmetic progressions of higher order, complex numbers in plane geometry, differential schemes, path semigroups and path algebras, have been carefully presented.
This reflects the aim of the book to attract students to mathematics. Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories.
Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples. A first-class debate book on the crucial issues of current mathematics teaching The authors offer startling evidence that computers are changing mathematics in a profound way Raises the question of how to alter teaching in mathermatics as a result of the computer's influence on the field.
Eschewing the standard dry and static writing style of traditional textbooks, Discrete Explorations provides a refreshing approach to discrete mathematics.
The author combines traditional course topics with popular culture, applications, and various historical examples. Defining discrete mathematics, the author also covers many different topics. These include combinatorics, fractals, permutations, difference equations, graph theory, trees and financial mathematics. The mathematician Francis Su knows just where to find them. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.
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.
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