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The Real and the Complex: A History of Analysis in the 19th Century (2015)

The Real and the Complex: A History of Analysis in the 19th Century

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"The Real and the Complex: A History of Analysis in the 19th Century" by Jeremy Gray 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 history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass.

This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.

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Best For: Students who have completed an introductory course in analysis and are interested in the historical development of mathematical analysis.
Focus: The intertwined development of real and complex analysis during the nineteenth century, highlighting key contributors and foundational concepts.
Covers: The evolution of analysis from Lagrange and Fourier through to set theory and modern foundations, including works by Gauss, Cauchy, Riemann, and Weierstrass.
Why It Matters: Understanding the historical context of real and complex analysis provides deeper insight into their foundational principles and how they developed as interconnected fields.

"The Real and the Complex: A History of Analysis in the 19th Century" by Jeremy Gray 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: Jeremy Gray

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 history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass.

This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.

AuthorJeremy Gray
PublisherSpringer
Published2015-11-05
ISBN-139783319237145
BindingPaperback
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesSpringer Undergraduate Mathematics

Format: Paperback

Language: English

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