This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
"synopsis" may belong to another edition of this title.
In 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.
From the reviews of the third edition:
"This new edition has been updated with the most recent exams ... . There are numerous new problems and solutions which were not included in previous editions. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph. D program. ... 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. ... Tags with the exact exam year provide the opportunity to rehearse complete examinations. ... This new edition has been updated with the most recent exams ... ." (Zentralblatt für Didaktik der Mathematik, November 2004)
"The Mathematics department of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the ... questions, together with worked solutions ... . All the solutions I looked at are complete ... . Some of the solutions are very elegant. ... This is an impressive piece of work and a welcome addition to any mathematician’s bookshelf." (Chris Good, The Mathematical Gazette, 90:518, 2006)
"During the last twenty-five years problems from written preliminary examinations that are required for the Ph.D. degree at the Mathematics Department of the University of California, Berkeley, have been assembled. ... The book is suited for students in mathematics, physics or engineering. Solutions are well explained, making the book valuable for self-study. The problems have a satisfactory high level, so the book is a rich resource of examples for lecturers as well, who need exercises ... . This book certainly is to be recommended." (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 12:4, 2005)
"About this title" may belong to another edition of this title.
Shipping:
FREE
Within U.S.A.
Book Description Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT23-73793
Book Description Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery.This item may ship from the US or other locations in India depending on your location and availability. Seller Inventory # ABTR-217020
Book Description Condition: New. Brand New Original US Edition. Customer service! Satisfaction Guaranteed. This item may ship from the US or our Overseas warehouse depending on your location and stock availability. We Ship to PO BOX Location also. Seller Inventory # ABRR-217020
Book Description Condition: New. pp. 608 3rd Edition. Seller Inventory # 26284628
Book Description Hardcover. Condition: new. New. Fast Shipping and good customer service. Seller Inventory # Holz_New_0387204296
Book Description Hardcover. Condition: new. Buy for Great customer experience. Seller Inventory # GoldenDragon0387204296
Book Description Hardcover. Condition: new. Prompt service guaranteed. Seller Inventory # Clean0387204296
Book Description Condition: new. Seller Inventory # FrontCover0387204296
Book Description Condition: New. New. In shrink wrap. Looks like an interesting title! 2.34. Seller Inventory # Q-0387204296
Book Description Condition: New. pp. 608 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 7596043