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Problems and Solutions in Mathematics (2nd Edition)

Problems and Solutions in Mathematics

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"Problems and Solutions in Mathematics" by Ji-Xiu Chen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.

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Best For: Graduate students preparing for PhD qualifying exams and lecturers teaching graduate mathematics.
Focus: Providing over 500 problems and solutions across key graduate-level mathematics topics.
Covers: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis, and Partial Differential Equations.
Why It Matters: It offers practical problem-solving experience that complements graduate textbooks and supports deep understanding of mathematical principles.

"Problems and Solutions in Mathematics" by Ji-Xiu Chen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Ji-Xiu Chen

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.

AuthorJi-Xiu Chen
PublisherWorld Scientific
Published2011
ISBN-139789814304962
BindingPaperback
Pages804
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesMajor American Universities PH.D. Qualifying Questions and S

Format: Paperback

Length: 804 pages

Language: English

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