The Krishna Prakashan series provides several well-regarded textbooks on Differential Geometry
, primarily authored by Dr. S.C. Mittal and D.C. Agarwal. These books are designed for B.Sc. (Honours), M.Sc., and various competitive examinations across Indian universities.
Krishna's TB Differential Geometry & Tensor Analysis (5th Edition)
: This comprehensive 463-page volume is widely used for graduate studies and competitive test preparation. Differential Geometry by Mittal & Agarwal
: A core textbook known for its systematic "vector method" approach to the subject, making it easier for students to grasp preliminary concepts before moving to advanced theory. differential geometry krishna publication pdf
Key Educational Focus: The series covers essential topics such as space curves (curvature and torsion), intrinsic properties of surfaces (Gauss-Bonnet theorem), and non-intrinsic properties like principal and Gaussian curvatures. Book Features
Structured Content: Chapters are organized logically, beginning with vector preliminary concepts to ensure a solid foundation.
Problem-Solving Support: Each chapter includes a significant number of solved examples followed by unsolved practice sets to help students master the mathematical treatments.
Accessibility: While printed editions are standard, digital versions are available through platforms like Amazon Kindle. You can also find catalogs and excerpts of these series on document-sharing sites like Scribd. Typical Syllabus Coverage Major Topics Included Space Curves Lack of Rigor: If you are a student
Definition of arc length, tangent, normal/binormal, curvature, and torsion. Surface Properties
Surfaces of revolution, helicoids, metrics, and families of curves. Curvatures
Principal, Gaussian, and geodesic curvatures, as well as the second fundamental form. Theorems
Fundamental existence theorems for space curves and the Gauss-Bonnet theorem. Differential Geometry | PDF | Curvature - Scribd computer-generated visuals in modern international textbooks
As an AI, I cannot provide a direct download link to a copyrighted PDF of these textbooks. These books are protected by copyright laws held by Krishna Prakashan.
The book uses specific vector notation (e.g., $\vecr$, $\dot\vecr$, $\ddot\vecr$). Ensure you understand the difference between derivatives w.r.t arc length ($'$) and w.r.t parameter ($\dot{}$).
Verdict: A Lifeline for Exam Preparation, But Not for Conceptual Depth.
In the landscape of Indian higher education mathematics, Krishna Prakashan Mandir (KPM) holds a legendary status. Their books on Differential Geometry are ubiquitous in B.Sc. and M.Sc. curricula across universities like Delhi University, Lucknow University, and various state boards.
If you are looking for a PDF of this book, you are likely a student trying to pass an exam with limited time. Here is why this book is a staple, along with its significant drawbacks.
While excellent for scoring marks, this book suffers from the typical shortcomings of "guidebooks."