
Notes & SolutionsTMH-FLUID-MECHANICS-I
Fluid Mechanics I — Complete BS/MSc Mathematics Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Fluid Mechanics / Fluid Dynamics / Potential FlowUniversity / BS Mathematics, MSc Mathematics and legacy BSc revision
Study Fluid Mechanics I with a 20-chapter BS and MSc Mathematics course book covering fluid properties, statics, kinematics, continuity, Euler and Bernoulli flow, vorticity, potential flow, complex methods, viscous extensions and waves. View or download the complete Math Hub PDF.
6 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Fluid Mechanics I / Fluid Dynamics I
- MSc Mathematics — Mathematical Fluid Mechanics / Fluid Dynamics revision
- Legacy BSc Mathematics — Mechanics / Fluid Mechanics context
- Mathematics Library — separate owner-resource record
- Fluid Mechanics / Fluid Dynamics subject hub — one canonical child resource
- Related from Vector & Tensor Analysis, ODE, PDE, Complex Analysis, Mechanics and Numerical Analysis

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-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-NUMERICAL-ANALYSIS-II
Numerical Analysis-II / Numerical Methods-II — Advanced Numerical Methods & Scientific Computing
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Numerical Analysis-II / Numerical Methods-IIUniversity / BS, MSc, MS/MPhil and scientific computing
Study Numerical Analysis II / Numerical Methods II with 40 detailed chapters on quadrature, ODEs, stability, BVPs, Krylov methods, PDEs, FEM, optimization and scientific computing. View or download the complete Math Hub book.
7 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Numerical Analysis / Numerical Methods
- ADP Mathematics — only where the current programme mapping includes a second or advanced numerical-methods course
- Legacy BSc/MSc Mathematics — Numerical Analysis / Numerical Methods revision
- Mathematics Library — separate owner-resource discovery card
- Numerical Analysis subject hub — one Numerical Analysis-II child card
- Mathematics for Computing & Other Programs — contextual Scientific Computing / Numerical Methods discovery
- Related from Numerical Analysis-I, ODE, PDE, Linear Algebra and Vector & Tensor Analysis

Notes & SolutionsTMH-FUNDAMENTALS-MECHANICS
Fundamentals of Mechanics — Complete Course Book for ADP & BS Mathematics
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Fundamentals of MechanicsUniversity / ADP, BS, BSc and MSc revision
Study Fundamentals of Mechanics with a 40-chapter ADP & BS Mathematics course book covering vectors, Newtonian mechanics, particle kinematics, work-energy, momentum, SHM, central forces, planetary motion, statics, friction and virtual work. View or download the complete Math Hub PDF.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Mechanics / Fundamentals of Mechanics
- BS Mathematics — Books, Notes & Solutions → Mechanics / Fundamentals of Mechanics
- Legacy BSc/MSc Mathematics — Mechanics / Theoretical Mechanics discovery and revision
- Mathematics Library — separate owner-resource record
- Mechanics subject discovery — one Fundamentals of Mechanics child resource
- Related from Vector & Tensor Analysis, ODE, PDE and Numerical Analysis

Notes & SolutionsTMH-CLASSICAL-MECHANICS
Classical Mechanics — Complete Course Book, Derivations, Worked Examples & PDF
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Classical Mechanics / Analytical MechanicsUniversity / BS Mathematics, BS Physics and revision
Study Classical Mechanics from Newtonian motion and rotating frames to rigid bodies, Lagrangian/Hamiltonian mechanics, central forces and normal modes. View or download the complete 27-chapter Math Hub book.
6 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Mechanics / Applied Mathematics
- Legacy BSc/MSc Mathematics — Mechanics / Applied Mathematics revision
- Mathematics Library — separate owner-resource record
- Classical Mechanics / Mechanics subject hub — one canonical child resource
- BS Physics — contextual Classical Mechanics discovery where the existing programme surface supports it
- Related from Fundamentals of Mechanics, ODE, Vector & Tensor Analysis and PDE

Notes & SolutionsTMH-PDE-VOLUME-I
Partial Differential Equations (PDE) — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partial Differential Equations (PDE)University / BS, BSc, MSc and MS/MPhil bridge
Study Partial Differential Equations from characteristics and classification to wave, heat, Laplace/Poisson equations, Fourier and Laplace transforms, Green functions, numerical PDEs, Sobolev spaces, variational methods and nonlinear PDEs. 32 chapters cover classical equations, transforms, Green functions, numerical PDEs, weak formulations, variational methods and nonlinear PDEs.
6 mapped course placements
- BS Mathematics — Partial Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — PDE / Mathematical Methods where the scheme supports it
- Legacy MSc Mathematics — Partial Differential Equations / Applied Mathematics
- MS / MPhil Mathematics — classical-to-modern PDE bridge
- Mathematics Library — separate owner-resource record
- Related from ODE, Numerical Analysis, Fourier Analysis, Functional Analysis, Vector & Tensor Analysis and Mathematical Modelling
BooksLIB-1165
Advances on Tensor Analysis and their Applications
Not specified in source metadata
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2020 · See official DOAB record
Notes & SolutionsUNS-MC-150
Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
MathCity / source contributor
Tensor AnalysisAssociate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
Worked Solutions / Solved Material · Tensor Analysis · Associate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
8 mapped course placements
- Tensor Analysis — Associate Degree (AD) Mathematics
- Tensor Analysis — BS Mathematics
- Tensor Analysis — MS / MPhil Mathematics
- Tensor Analysis — Legacy BSc Mathematics Resources
- Vector Analysis — Associate Degree (AD) Mathematics
- Vector Analysis — BS Mathematics
- Vector Analysis — MS / MPhil Mathematics
- Vector Analysis — Legacy BSc Mathematics Resources
Notes & SolutionsUNS-MC-151
Vector & Tensor Analysis by Prof Fazal Abbas
MathCity / source contributor
Tensor AnalysisAssociate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
Course Notes · Tensor Analysis · Associate Degree (AD) Mathematics; BS Mathematics; MS / MPhil Mathematics; Legacy BSc Mathematics Resources
8 mapped course placements
- Tensor Analysis — Associate Degree (AD) Mathematics
- Tensor Analysis — BS Mathematics
- Tensor Analysis — MS / MPhil Mathematics
- Tensor Analysis — Legacy BSc Mathematics Resources
- Vector Analysis — Associate Degree (AD) Mathematics
- Vector Analysis — BS Mathematics
- Vector Analysis — MS / MPhil Mathematics
- Vector Analysis — Legacy BSc Mathematics Resources