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LEADER: 03071nam a22003738a 4500
001 009277993-X
005 20131119022757.0
008 031027s2004 nyu b 001 0 eng
010 $a 2003063347
020 $a0387204296 (alk. paper)
020 $a0387008926 (pbk. : alk. paper)
035 0 $aocm53331095
040 $aDLC$cDLC
043 $an-us-ca
050 00 $aQA43$b.D38 2004
082 00 $a510/.76$222
100 1 $aDe Souza, Paulo Ney.
245 10 $aBerkeley problems in mathematics /$cPaulo Ney de Souza, Jorge-Nuno Silva.
260 $aNew York :$bSpringer,$c2004.
300 $axiv, 591 p. :$c24 cm.
440 0 $aProblem books in mathematics
504 $aIncludes bibliographical references and index.
505 0 $aPreface -- Problems -- Real Analysis -- Multivariable Calculus -- Differential Equations -- Metric Spaces -- Complex Analysis -- Algebra -- Linear Algebra -- Solutions -- Real Analysis -- Multivariable Calculus -- Differential Equations -- Metric Spaces -- Complex Analysis -- Algebra -- Linear Algebra -- Appendices -- References -- Index.
520 $aIn 1977 the Mathematics Department at the University of California, Berkeley, instituted a written examination as one of the first major requirements toward the Ph.D. degree in Mathematics. Its purpose was to determine whether first-year students in the Ph.D. program had successfully mastered basic mathematics in order to continue in the program with the likelihood of success. Since its inception, the exam has become a major hurdle to overcome in the pursuit of the degree. The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years. The book is a compilation of over 1,250 problems which have appeared on the preliminary exams in Berkeley over the last twenty-five years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem-solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. Tags with the exact exam year provide the opportunity to rehearse complete examinations. The appendix includes instructions on accessing electronic versions of the exams as well as a syllabus and statistics of passing scores. This new edition has been updated with the most recent exams, including exams given during the Fall 2003 semester. There are numerous new problems and solutions which were not included in previous editions.
650 0 $aMathematics$vProblems, exercises, etc.
610 20 $aUniversity of California, Berkeley.$bDepartment of Mathematics$xExaminations.
650 0 $aMathematics.
650 0 $aAlgebra.
650 0 $aGroup theory.
650 0 $aMatrix theory.
650 0 $aGlobal analysis (Mathematics).
700 1 $aSilva, Jorge-Nuno.
988 $a20040128
906 $0DLC