Canonical mathematics library

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Use the library as a starting point for reading resources and direct exam practice. Existing book and notes records remain searchable below.

1,177Books
198Notes & Solutions
1,284University mappings
1,375Total resources
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Browse the Mathematics Library

Choose the exact academic level, board, subject or resource type. Existing canonical records and lawful source links remain in the search below.

12 canonical resources found

Fluid Mechanics I — Complete BS/MSc Mathematics Course Book poster
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
Plane Curves & Analytic Geometry poster
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
Differential Geometry — Complete Solved Notes poster
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
Vector and Tensor Analysis — Complete Course Book, Solved Examples & Exercises poster
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
Vector & Tensor Analysis — Volume II Solutions poster
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
Numerical Analysis-II / Numerical Methods-II — Advanced Numerical Methods & Scientific Computing poster
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
Fundamentals of Mechanics — Complete Course Book for ADP & BS Mathematics poster
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
Classical Mechanics — Complete Course Book, Derivations, Worked Examples & PDF poster
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
Partial Differential Equations (PDE) — Volume I poster
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