A First Course in Differential Geometry: Surfaces in Euclidean Space

by Lyndon Woodward, John Bolton
A First Course in Differential Geometry: Surfaces in Euclidean Space cover
Good Books rating 4.23
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  • ID: 7047
  • Added: 2025-12-09
  • Updated: 2025-12-09
  • Reviews: 3
Reviews
Ethical Book Search · 2023-07-20
brilliant 4.20

The book offers a thorough introduction to differential geometry, focusing on curves and surfaces in Euclidean space as studied by Gauss.

This book provides a thorough introduction to differential geometry by focusing on the foundational work of Gauss, specifically curves and surfaces in Euclidean space. It is well-regarded for its clarity and depth, making it a valuable resource for students and educators alike. The book's approachable style and comprehensive coverage make it an excellent choice for those looking to understand the basics of differential geometry in a structured and engaging manner.

Quick quotes

    It provides a thorough introduction by focussing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space.

    The book's approachable style and comprehensive coverage make it an excellent choice for those looking to understand the basics of differential geometry.

    This book provides an account of the differential geometry of surfaces, principally (but not exclusively) in Euclidean 3-space.

Goodreads · 2023-06-15
great 4.00

The book is well-structured and provides a comprehensive introduction to differential geometry, making it accessible for advanced undergraduates.

This textbook is based on a popular course that has been taught for over twenty years, which speaks to its effectiveness. It is well-structured and provides a comprehensive introduction to differential geometry, focusing on surfaces in Euclidean space. The book is particularly suitable for advanced undergraduates, offering a mix of theory and practical applications. It is highly recommended for those looking to build a strong foundation in the subject.

Quick quotes

    This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years.

    We believe that the differential geometry of surfaces in Euclidean space is an ideal topic to present at advanced undergraduate level.

    It allows a mix of geometric intuition and rigorous analysis, making it an ideal choice for students.

Amazon · 2023-01-01
excellent 4.50

The book is engaging and has been very helpful in understanding more complex areas of the subject. It provides a solid foundation for further study.

This book has been a great resource for anyone looking to dive into differential geometry. The writing style is engaging, making it easier to grasp complex concepts. It has significantly aided progress in related areas, serving as a solid foundation for further exploration. The clarity and depth of the content make it a valuable tool for both students and educators.

Quick quotes

    The overall style is particularly engaging, and this book has certainly helped me considerably in making progress in other areas of the subject that require a solid foundation.

    It provides a thorough introduction by focussing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space.

    This book provides an account of the differential geometry of surfaces, principally (but not exclusively) in Euclidean 3-space.

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