
Notes & SolutionsTMH-PLANE-CURVES-ANALYTIC-GEOMETRY
Plane Curves & Analytic Geometry
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Plane Curves / Analytic Geometry / Conic SectionsUniversity / ADP, BS, legacy BSc, B.Ed specialization and MSc revision
Study Plane Curves & Analytic Geometry for ADP and BS Mathematics with conics, polar and parametric curves, tangents, normals, curve tracing, curvature, 3-D lines, planes and quadric surfaces, plus detailed solved exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry
- BS Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry / Calculus-related geometry
- Legacy BSc Mathematics — Calculus & Analytic Geometry / Geometry
- B.Ed Mathematics specialization — content/elective discovery where applicable
- MSc Mathematics — prerequisite and revision discovery only
- Mathematics Library — separate owner-resource record
- Geometry / Analytic Geometry subject hub — one canonical child card
- Related from Calculus, Differential Geometry, Vector & Tensor Analysis and Mechanics

Notes & SolutionsTMH-DIFFERENTIAL-GEOMETRY-COMPLETE
Differential Geometry — Complete Solved Notes
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Differential Geometry / Curves and SurfacesUniversity / BS, BSc, MSc, MS/MPhil foundation and revision
451-page, 30-chapter Differential Geometry resource covering curves, surfaces, curvature, fundamental forms, geodesics, Gauss–Bonnet and an introductory manifold/Riemannian bridge with fully solved mathematics.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Differential Geometry / Geometry
- MSc and legacy MSc Mathematics — Differential Geometry / Applicable Differential Geometry revision
- Legacy BSc Mathematics — Applicable Differential Geometry / curves and surfaces
- ADP Mathematics — contextual discovery where the subject is offered or needed for BS completion
- MS/MPhil Mathematics — foundation/revision and bridge to Riemannian Geometry / manifolds, not a complete research text
- Mathematics Library — separate owner-resource record
- Differential Geometry subject hub — one canonical child card
- Related from Vector & Tensor Analysis, Multivariable Calculus, Topology, Mechanics, Mathematical Physics and Relativity

Notes & SolutionsTMH-TOPOLOGY-VOLUME-I
Topology — Volume I: General Topology / Point-Set Topology — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Topology / General Topology / Point-Set TopologyUniversity / ADP, BS, BSc and MSc revision
Study Topology from metric spaces and topological spaces to continuity, compactness, connectedness, separation, metrization, nets, filters, Tychonoff theory and advanced General Topology with proofs, examples and exercises. 45 chapters, 305 A4 pages, 414 theorem/result boxes, 133 formal definition boxes, 56 worked examples and 170 topic-wise unsolved exercises.
7 mapped course placements
- ADP / Associate Degree Mathematics — relevant where Basic Topology or Metric & Topological Spaces is offered
- BS Mathematics — Topology / General Topology / Point-Set Topology
- Legacy BSc Mathematics — Set Topology and Metric Spaces revision
- MSc Mathematics — General Topology foundation and revision context
- Mathematics Library — separate owner-resource record
- Topology subject hub — Volume I child card
- Related from Real Analysis, Metric Spaces, Functional Analysis, Differential Geometry, Manifolds and Algebraic Topology

Notes & SolutionsTMH-VT-COMPLETE-BOOK
Vector and Tensor Analysis — Complete Course Book, Solved Examples & Exercises
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Vector and Tensor AnalysisUniversity / Undergraduate and revision
18-chapter Vector and Tensor Analysis resource progressing from vector algebra, fields, integral theorems and curvilinear coordinates to Cartesian tensors, metrics, Christoffel symbols, curvature, applications and potential theory.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis
- ADP / Associate Degree Mathematics — where offered or listed as an elective
- Legacy BSc Mathematics — Books, Notes & Solutions → Vector Analysis / Vector & Tensor Analysis
- MSc Mathematics / legacy MSc revision — contextual discovery
- Mathematics Library — separate owner-resource record
- Vector Analysis / Vector Calculus subject discovery
- Tensor Analysis subject discovery
- Related from Multivariable Calculus, Differential Geometry, Mechanics, Mathematical Physics and PDE

Notes & SolutionsTMH-VT-V2-SOLUTIONS
Vector & Tensor Analysis — Volume II Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Vector and Tensor Analysis SolutionsUniversity / Undergraduate and revision
Dedicated Volume II companion with 975 step-by-step solutions across 18 chapters and 96 exercises, from vector algebra and integral theorems to tensor transformations, metrics, Christoffel symbols and curvature.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis → Volume II Solutions
- ADP / Associate Degree Mathematics — contextual placement where the subject is offered
- Legacy BSc Mathematics — Vector Analysis / Vector & Tensor Analysis → Solutions
- MSc Mathematics / legacy MSc revision — contextual problem practice
- Mathematics Library — separate owner-resource record labelled Solutions
- Vector and Tensor Analysis subject hub — Volume II child card
- Existing course-book page — Open Volume II Solutions related action
- Related from Calculus III, Differential Geometry, Mechanics, Mathematical Physics and PDE

Notes & SolutionsTMH-THEORY-OF-SPLINES-VOLUME-II
Theory of Splines — Volume II
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Theory of Splines-II / Bézier Curves / B-Splines / Cubic Splines / ApproximationUniversity / BSc, BS and MSc Mathematics
Bézier Curves · B-Splines · Cubic Splines · 16 Chapters · Solved Exercises
6 mapped course placements
- BS Mathematics — Theory of Splines-II / Theory of Approximation and Splines-II
- BSc Mathematics — advanced approximation, geometric modelling and spline revision
- MSc Mathematics — spline functions, approximation and computational mathematics context
- Mathematics Library — canonical Volume II resource record
- Spline subject hub — Spline → Spline II → one canonical detail page
- Related from Volume I, Numerical Analysis, Linear Algebra, Differential Geometry and CAGD
BooksLIB-1104
Artificial Intelligence and Machine Learning Based Methods and Applications
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2024 · See official DOAB record
BooksLIB-0960
Fractal Analysis
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2017 · See official DOAB record
BooksLIB-0970
Il premio Laboratorio Matematico “Riccardo Ricci” 2014-2016
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2019 · See official DOAB record
BooksLIB-1146
Imaging and engineering optical localized modes at the nanoscale
Caselli, Niccolò
Geometry & Differential GeometryBS / MS-MPhil / PhD
2016 · See official DOAB record
BooksLIB-0955
Konstrukční úlohy
Budínová, Irena; Pavlíčková, Lenka
Geometry & Differential GeometryBS / MS-MPhil / PhD
2020 · See official DOAB record
BooksLIB-1166
Manifolds
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2017 · See official DOAB record
BooksLIB-0976
Manifolds II
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2019 · See official DOAB record
BooksLIB-1108
Manifolds III
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-0996
Shapes of Imagination
Stiny, George
Geometry & Differential GeometryBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-1125
Theory of Functions and Applications
Not specified in source metadata
Geometry & Differential GeometryBS / MS-MPhil / PhD
2024 · See official DOAB record
BooksLIB-0044
Advances in Discrete Differential Geometry
Bobenko, Alexander I.
Geometry & TopologyADP / BS / MS-MPhil
Springer Nature · 2016 · https://creativecommons.org/licenses/by-nc/4.0/
BooksLIB-0170
Differential Geometry
Mihai, Ion
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0171
Differential Geometry
Pinkall, Ulrich; Gross, Oliver
Geometry & TopologyADP / BS / MS-MPhil
Springer Nature · 2024 · https://creativecommons.org/licenses/by-nc-nd/4.0/
Notes & SolutionsUNS-MIT-CAGD-2158J
MIT 2.158J Computational Geometry — B-Splines/NURBS Problem Sets
MIT OpenCourseWare
Computer-Aided Geometric DesignBS Mathematics; MS / MPhil Mathematics; Mathematics for Computing & Other Programs
CAGD/differential geometry with B-splines and NURBS.
12 mapped course placements
- Computer-Aided Geometric Design — BS Mathematics
- Computer-Aided Geometric Design — MS / MPhil Mathematics
- Computer-Aided Geometric Design — Mathematics for Computing & Other Programs
- Computer Graphics — BS Mathematics
- Computer Graphics — MS / MPhil Mathematics
- Computer Graphics — Mathematics for Computing & Other Programs
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — Mathematics for Computing & Other Programs
- Spline Theory — BS Mathematics
- Spline Theory — MS / MPhil Mathematics
- Spline Theory — Mathematics for Computing & Other Programs
Notes & SolutionsUNS-MC-081
Differential Geometry (Notes) by Ms. Kaushef Salamat
MathCity / source contributor
Differential GeometryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Course Notes · Differential Geometry · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
3 mapped course placements
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MC-082
Differential Geometry by M Usman Hamid
MathCity / source contributor
Differential GeometryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Course Notes · Differential Geometry · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
3 mapped course placements
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MC-083
Differential Geometry by Syed Hassan Waqas
MathCity / source contributor
Differential GeometryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Course Notes · Differential Geometry · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
3 mapped course placements
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MC-080
Differential Geometry: Handwritten Notes
MathCity / source contributor
Differential GeometryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Handwritten Notes · Differential Geometry · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
3 mapped course placements
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MIT-DG-18950
MIT 18.950 Differential Geometry — Notes & Ten Problem Sets
MIT OpenCourseWare
Differential GeometryBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Lecture-note chapters and ten homework sets.
6 mapped course placements
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — PhD Mathematics
- Riemannian Geometry — BS Mathematics
- Riemannian Geometry — MS / MPhil Mathematics
- Riemannian Geometry — PhD Mathematics
Notes & SolutionsUNS-TORONTO-RIEMANN-2025
University of Toronto Riemannian Geometry 2025–26 — Course Hub
University of Toronto Mathematics / Fedor Manin
Riemannian GeometryBS Mathematics; MS / MPhil Mathematics
Current cross-listed undergraduate/master's Riemannian Geometry course context.
4 mapped course placements
- Riemannian Geometry — BS Mathematics
- Riemannian Geometry — MS / MPhil Mathematics
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
Notes & SolutionsUNS-UPENN-RIEMANN-660
UPenn Math 660 Riemannian Geometry — Notes & Assignments
University of Pennsylvania Mathematics / Wolfgang Ziller
Riemannian GeometryBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Riemannian Geometry notes and twelve assignments.
6 mapped course placements
- Riemannian Geometry — BS Mathematics
- Riemannian Geometry — MS / MPhil Mathematics
- Riemannian Geometry — PhD Mathematics
- Differential Geometry — BS Mathematics
- Differential Geometry — MS / MPhil Mathematics
- Differential Geometry — PhD Mathematics