Author: John Ewing
Publisher: Springer Science & Business Media
ISBN: 1461209676
Category : Mathematics
Languages : en
Pages : 312
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Book Description
Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.
Author: John H. Ewing
Publisher:
ISBN: 9783540975090
Category : Mathematical analysis
Languages : en
Pages : 320
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Book Description
Author: Karen Hunger Parshall
Publisher: Princeton University Press
ISBN: 0691233810
Category : Mathematics
Languages : en
Pages : 640
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Book Description
A meticulously researched history on the development of American mathematics in the three decades following World War I As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively within American science, and rose to global mathematical hegemony. How did they do it? The New Era in American Mathematics, 1920–1950 explores the institutional, financial, social, and political forces that shaped and supported this community in the first half of the twentieth century. In doing so, Karen Hunger Parshall debunks the widely held view that American mathematics only thrived after European émigrés fled to the shores of the United States. Drawing from extensive archival and primary-source research, Parshall uncovers the key players in American mathematics who worked together to effect change and she looks at their research output over the course of three decades. She highlights the educational, professional, philanthropic, and governmental entities that bolstered progress. And she uncovers the strategies implemented by American mathematicians in their quest for the advancement of knowledge. Throughout, she considers how geopolitical circumstances shifted the course of the discipline. Examining how the American mathematical community asserted itself on the international stage, The New Era in American Mathematics, 1920–1950 shows the way one nation became the focal point for the field.
Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 3034603479
Category : Mathematics
Languages : en
Pages : 360
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Book Description
Paul Richard Halmos, who lived a life of unbounded devotion to mathematics and to the mathematical community, died at the age of 90 on October 2, 2006. This volume is a memorial to Paul by operator theorists he inspired. Paul’sinitial research,beginning with his 1938Ph.D. thesis at the University of Illinois under Joseph Doob, was in probability, ergodic theory, and measure theory. A shift occurred in the 1950s when Paul’s interest in foundations led him to invent a subject he termed algebraic logic, resulting in a succession of papers on that subject appearing between 1954 and 1961, and the book Algebraic Logic, published in 1962. Paul’s ?rst two papers in pure operator theory appeared in 1950. After 1960 Paul’s research focused on Hilbert space operators, a subject he viewed as enc- passing ?nite-dimensional linear algebra. Beyond his research, Paul contributed to mathematics and to its community in manifold ways: as a renowned expositor, as an innovative teacher, as a tireless editor, and through unstinting service to the American Mathematical Society and to the Mathematical Association of America. Much of Paul’s in?uence ?owed at a personal level. Paul had a genuine, uncalculating interest in people; he developed an enormous number of friendships over the years, both with mathematicians and with nonmathematicians. Many of his mathematical friends, including the editors ofthisvolume,whileabsorbingabundantquantitiesofmathematicsatPaul’sknee, learned from his advice and his example what it means to be a mathematician.
Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710
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Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Author: Gila Hanna
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468
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Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Author: Michael H. Albert
Publisher: Cambridge University Press
ISBN: 0521861349
Category : Mathematics
Languages : en
Pages : 577
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Book Description
This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.
Author: Rolf Biehler
Publisher: Springer Nature
ISBN: 303114175X
Category : Education
Languages : en
Pages : 723
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Book Description
This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theoretical frameworks and on established and innovative empirical research methods. It provides a relevant overview of current research, along with being a valuable resource for researchers in tertiary mathematics education, including novices in the field. Its practice orientation research makes it attractive to university mathematics teachers interested in getting access to current ideas and results, including theory-based and empirically evaluated teaching and learning innovations. The content of the book is spread over 5 sections: The secondary-tertiary transition; University students' mathematical practices and mathematical inquiry; Research on teaching and curriculum design; University students’ mathematical inquiry and Mathematics for non-specialists.
Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9789810239459
Category : Mathematics
Languages : en
Pages : 780
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Book Description
This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.
Author: Steve Batterson
Publisher: City University of HK Press
ISBN: 9629376903
Category : Business & Economics
Languages : en
Pages : 594
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Book Description
In 2000, the American Mathematical Society published a biography of Professor Stephen Smale, who had recently retired from a prestigious career at the University of California, Berkeley. But in retirement, Professor Smale has continued his academic pursuits through the present day, resulting in numerous additional publications and honors in the past 20+ years. As part of the CityU Legacy Series, this book documents Professor Smale's time at City University of Hong Kong, during his first appointment as a Distinguished University Professor in the Department of Mathematics from 1995-2001 as well as when he returned from 2009-2016. It also covers colorful and adventurous aspects of his life, including his impressive mineral collection and intrepid sailing and hiking trips to exotic locales. So that readers can experience the full extent of Professor Smale's notable life and work, the previous biography about him is included to provide a complete picture of this renowned scholar of international influence. "A fascinating and inspiring story of how Steve Smale, a bright yet seemingly unexceptional country boy ... became one of the most brilliant and in influential mathematicians on the planet." Lenore Blum Distinguished Career Professor of Computer Science, Emerita Carnegie Mellon University "I first met Steve during a visit to Berkeley … I did not foresee that the visit would mark the beginning of a long-lasting relationship including, but going well beyond, mathematical collaboration." Felipe Cucker Emeritus Professor, Department of Mathematics City University of Hong Kong
