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The essays in this volume are based on presentations made at the Gauss-Dirichlet Conference, which took place in Gottingen, Germany, from June 20–24, 2005. The conference honored the 200th anniversary of J.-L. Dirichlet's birth as well as the 150th...
This work has been chosen by academics as having cultural significance and is a foundational piece of civilization as we know it. This copy of the original artifact is as accurate to the original as is humanly possible. ...
Greek mathematician Euclid is frequently referred to as the "Father of Geometry." His Elements was the primary textbook for teaching mathematics (particularly geometry) from the time of its release until the late 19th or early 20th century, making it...
This free programming book provides a thorough but understandable explanation of a variety of mathematical concepts. It guides the reader toward facets of current mathematical study by starting with fundamental ideas.
Many have watched the movie and read the book, but few have truly understood the mathematics that John Nash's brilliant intellect created. Nash's elegant mathematics are now used widely in the social sciences as well as in fields like...
The question of whether each locally euclidean Topological Group admits a Lie group structure was posed by David Hilbert in 1900. This was the sixth of his famous 23 problems, which anticipated much of the twentieth century's inventiveness in...
This book is the result of classes taught at the University of California, Santa Barbara, mostly for students without a strong foundation in mathematics.
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This open-access book offers an introduction to Felix Klein's concepts while highlighting advancements in college instruction and K–12 mathematics that are connected to Klein's principles and date from the previous century.
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Many people consider Euclid's arguments to be fundamentally informal due to twentieth-century innovations in logic and mathematics, particularly because of the use of diagrams.
The book is intended to be rigorous, conservative, simple, and minimalist for a semester-long Foundations of Geometry course.