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Transition to Higher Mathematics : Structure and Proof - 07 edition

Transition to Higher Mathematics : Structure and Proof (ISBN10: 007353353X; ISBN13: 9780073533537)
ISBN13: 978-0073533537
ISBN10: 007353353X

Summary:
  • Writing Style - Dumas/McCarthy presents the material in a friendly, conversational writing style designed to appeal to students, while maintaining the appropriate level of formality and rigor required for proper mastery of proof technique. The authors motivate understanding of formal definitions with discussions and remarks designed to help students grasp the basic direction of the arguments.
  • Atte
    ntion to Detail - The authors take utmost care to present correct mathematical detail, structure, notation, and terminology at all times. Informal discussion and hints are clearly distinguished from formal definitions and proof with a ''Discussion'' label.
  • Exercises - Each chapter features numerous exercises of varying difficulty designed to direct students' attention to the reading and compel them to think through the details of the proofs.
  • Flexible Topic Coverage - Dumas/McCarthy covers a wide and well-developed range of topics, and the chapters are self-contained enough to allow instructors to easily pick and choose the topics they wish to cover. The material can be structured to accommodate the time constraints of a quarter course as well as a semester-long course.
...show more
Summary:
  • Writing Style - Dumas/McCarthy presents the material in a friendly, conversational writing style designed to appeal to students, while maintaining the appropriate level of formality and rigor required for proper mastery of proof technique. The authors motivate understanding of formal definitions with discussions and remarks designed to help students grasp the basic direction of the arguments.
  • Attention to Detail - The authors take utmost care to present correct mathematical detail, structure, notation, and terminology at all times. Informal discussion and hints are clearly distinguished from formal definitions and proof with a ''Discussion'' label.
  • Exercises - Each chapter features numerous exercises of varying difficulty designed to direct students' attention to the reading and compel them to think through the details of the proofs.
  • Flexible Topic Coverage - Dumas/McCarthy covers a wide and well-developed range of topics, and the chapters are self-contained enough to allow instructors to easily pick and choose the topics they wish to cover. The material can be structured to accommodate the time constraints of a quarter course as well as a semester-long course.
...show less

Edition/Copyright: 07
Cover: Hardback
Publisher: McGraw-Hill Publishing Company
Year Published: 2007
International: No

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