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Categories for the Working Mathematician
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-li...
How to Think Like a Mathematician
This arsenal of tips and techniques eases new students into undergraduate mathematics, unlocking the world of definitions, theorems, and proofs.
The Great Mathematicians
Mathematics pervades our daily lives. It is intimately involved whenever one starts a car, switches on the television, flies on a plane, forecasts the weather, books a holiday on the internet, programmes a computer, navigates heavy traffic, analyses statistical data, or seeks a cure for a disease. Our credit cards and the nation's defence secret...
Adventures of a Mathematician
The true story that inspired the 2020 film. The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.
The Mind of the Mathematician
Publisher description
Inventing the Mathematician
Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groupsincluding women and people of colorare able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity.
Mathematician for All Seasons
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who “discovered” the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus’s personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consumi...
Encounters of a Mathematician
Professor Walter Ledermann is one of the great algebraists of the twentieth century. His memoirs begin with life in pre-war Germany, the murder of several members of his family, and of the joy he found in mathematics and music. As the story of his remarkable life unfolds, we are entranced by tales of Scotland during the war and of academic life in Manchester and Sussex. His memoirs contain numerous entertaining, and often hilarious anecdotes of his encounters with famous mathematicians and physicists, such as Issai Schur, Heinz Hopf, Max Plank, Erwin Schroedinger, Edmund Whittaker, Alec Aitkin, Max Born and Alan Turing.
Remarkable Mathematicians
This 2003 book contains portrayals of sixty mathematicians, which collectively convey how mathematics developed into its modern form.
