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Precize Differential Geometry-1 For MSc Mathematics 1st Semester Panjab University Chandigarh

by Madhurima
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23 Customer Review

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  • Q1
    Does this book cover the Einstein summation convention and Kronecker Delta?
    A1

    Yes, it provides a dedicated section on Einstein’s Summation Convention and the Kronecker Delta, forming the basis of tensor algebra.

  • Q2
    Are contravariant and covariant tensors explained in this book?
    A2

    Yes, the text clearly explains the transformation laws for vectors and distinguishes between contravariant and covariant tensors in detail.

  • Q3
    Which chapter discusses the Riemann-Christoffel curvature tensor?
    A3

    Chapter 4, "Curvature Tensor," is exclusively dedicated to the Riemann-Christoffel Tensor and the Covariant Curvature Tensor.

  • Q4
    Is the concept of the metric tensor included in the syllabus coverage?
    A4

    Absolutely. The Metric Tensor and the Fundamental Contravariant Tensor are covered in-depth in Chapter 2.

  • Q5
    Does this book cover the covariant differentiation of vectors and tensors?
    A5

    Yes, Chapter 3 is fully dedicated to Christoffel Symbols and the covariant differentiation of vectors, tensors, and scalars.

  • Q6
    Are involutes and evolutes part of the Panjab University syllabus for this book?
    A6

    Yes, the book covers involutes and evolutes in detail within the "Space Curves" section as per the syllabus.

  • Q7
    Does this title include the topic of developable surfaces and their envelopes?
    A7

    Yes, the final chapter is devoted to Envelopes and Developable Surfaces, including the Edge of Regression.

  • Q8
    Does this book cover the intrinsic or derived derivative of a vector?
    A8

    Yes, the "Derived Vector," also known as the Intrinsic Derivative of a vector, is explained in the text.

  • Q9
    Which unit covers the locus of the center of curvature for space curves?
    A9

    This topic is covered in Unit-II, within the broader discussion of curves with torsion and their properties.

  • Q10
    Does the book explain the order of contact of a curve and a surface?
    A10

    Yes, the "Order of Contact of a Curve and a Surface" is a key concept explained in the Space Curves section.

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Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Does this book cover the Einstein summation convention and Kronecker Delta?
    A1

    Yes, it provides a dedicated section on Einstein’s Summation Convention and the Kronecker Delta, forming the basis of tensor algebra.

  • Q2
    Are contravariant and covariant tensors explained in this book?
    A2

    Yes, the text clearly explains the transformation laws for vectors and distinguishes between contravariant and covariant tensors in detail.

  • Q3
    Which chapter discusses the Riemann-Christoffel curvature tensor?
    A3

    Chapter 4, "Curvature Tensor," is exclusively dedicated to the Riemann-Christoffel Tensor and the Covariant Curvature Tensor.

  • Q4
    Is the concept of the metric tensor included in the syllabus coverage?
    A4

    Absolutely. The Metric Tensor and the Fundamental Contravariant Tensor are covered in-depth in Chapter 2.

  • Q5
    Does this book cover the covariant differentiation of vectors and tensors?
    A5

    Yes, Chapter 3 is fully dedicated to Christoffel Symbols and the covariant differentiation of vectors, tensors, and scalars.

  • Q6
    Are involutes and evolutes part of the Panjab University syllabus for this book?
    A6

    Yes, the book covers involutes and evolutes in detail within the "Space Curves" section as per the syllabus.

  • Q7
    Does this title include the topic of developable surfaces and their envelopes?
    A7

    Yes, the final chapter is devoted to Envelopes and Developable Surfaces, including the Edge of Regression.

  • Q8
    Does this book cover the intrinsic or derived derivative of a vector?
    A8

    Yes, the "Derived Vector," also known as the Intrinsic Derivative of a vector, is explained in the text.

  • Q9
    Which unit covers the locus of the center of curvature for space curves?
    A9

    This topic is covered in Unit-II, within the broader discussion of curves with torsion and their properties.

  • Q10
    Does the book explain the order of contact of a curve and a surface?
    A10

    Yes, the "Order of Contact of a Curve and a Surface" is a key concept explained in the Space Curves section.

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