Suitable for advanced undergraduates and graduate students, this text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. 1964 edition.
The definitive account of the Everests of mathematics--the seven unsolved problems that define the state of the art in contemporary math
This volume is dedicated to the memory of the late Oded Schramm (1961-2008), distinguished statistician. Throughout his life, Oded made profound and beautiful contributions to mathematics that will have a lasting influence.In these two volumes, Editors Itai Benjamini and Olle H ggstr m have collected some of his papers, supplemented with three survey papers by Steffen Rohde, H ggstr m and Cristophe Garban that further elucidate his work. The papers within are a representative collection that shows the breadth, depth, enthusiasm and clarity of his work, with sections on Geometry, Noise Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Oded 's publications complete the volume. The book will be of especial interest to researchers in probability and statistics, and in the history of these subjects.
Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generations foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone"--Provided by publisher.
This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. Carefully chosen problems appear at the end of each chapter. This new edition includes an additional appendix of tips and solutions for selected problems.
One Million Practice Makes Perfect Books Sold! Concise summaries, clear examples, and plenty of practice, practice, practice makes this series "Perfect" for geometry students. About the Book With more than 1,000,000 copies sold, Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Geometry, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series--but now within mathematics. Practice Makes Perfect: Geometry is not focused on any particular test or exam, but is complementary to most curricula. Because of this approach, the book can be used by struggling students needing extra help, readers who need to firm up skills for an exam, or those who are returning to the subject years after they first studied it. Its all-encompassing approach will appeal to both U.S. and international students.
Presents the fundamental concepts of algebra illustrated by numerous examples, and in many cases, suitable sequences of exercises -- without solutions. Preface. Index. Bibliography. 39 figures.