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-INTEGRAL-EQUATIONS-WAZWAZ-SOLUTIONS
Integral Equations — Complete Solved Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Integral Equations / Fredholm / Volterra / Integral Equation SolutionsUniversity / BS Mathematics / MSc revision
Study Integral Equations with 426 mathematics-first worked problems and applications covering Fredholm, Volterra, integro-differential, singular and nonlinear equations, plus numerical methods and applications. Reference-aligned to Abdul-Majid Wazwaz, Second Edition. 9 chapters, 392 reference-aligned solved slots across Chapters 1–8 and 34 additional worked applications in Chapter 9.
7 mapped course placements
- University Mathematics → Integral Equations → Solutions
- BS Mathematics → Books, Notes & Solutions → Integral Equations → Solutions
- MSc / legacy MSc Mathematics → Integral Equations revision
- MS / MPhil Mathematics → supporting advanced reference discovery where applicable
- Mathematics Library → separate owner-resource record under Solutions
- Integral Equations subject path → Solutions child card
- Related from ODE, PDE, Numerical Analysis, Functional Analysis and Special Functions
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-GRAPH-THEORY-VOLUME-I
Graph Theory — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Graph Theory / Graph Algorithms / Discrete Graph TheoryUniversity / ADP, BS, legacy BSc, MSc and MS/MPhil foundation/revision
A 21-chapter university Graph Theory resource covering graph models, degree sequences, isomorphism, matrices, paths, connectivity, Eulerian and Hamiltonian graphs, trees, spanning trees, graph algorithms, planarity, duals, colouring, matching, digraphs, network flows, enumeration and applications.
8 mapped course placements
- ADP / Associate Degree Mathematics — Graph Theory / Introduction to Graph Theory discovery
- BS Mathematics — Graph Theory Volume I complete course resource
- Legacy BSc Mathematics — Graph Theory / Discrete Mathematics context
- MSc Mathematics — complete foundation and revision resource
- MS/MPhil Mathematics — foundation, prerequisite consolidation and revision; not a research-level replacement
- Mathematics Library — separate owner-resource record
- Graph Theory subject hub — one canonical child card
- Related from Discrete Mathematics, Linear Algebra, Numerical Analysis and Mathematics for Computing
Notes & SolutionsTMH-SPECIAL-FUNCTIONS-I
Special Functions-I — Volume I — Complete Solved Notes for BS & MSc Mathematics
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Special Functions / Orthogonal Polynomials / Mathematical PhysicsUniversity / BS Mathematics, MSc Mathematics and legacy BSc/MSc revision
Study Special Functions I with solved BS/MSc notes on Gamma-Beta, hypergeometric, Bessel, Legendre, orthogonal polynomials, Airy functions and applications.
5 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Special Functions / Mathematical Analysis / Mathematical Physics
- MSc Mathematics — Special Functions / Classical Special Functions revision and course discovery
- Legacy BSc/MSc Mathematics — Gamma/Beta, hypergeometric, Bessel, Legendre and orthogonal-polynomial revision
- Mathematics Library — separate owner-resource record
- Related from ODE, PDE, Complex Analysis, Real Analysis, Numerical Analysis, Linear Algebra and Mathematical Physics
Notes & SolutionsTMH-COMPLEX-ANALYSIS-VOLUME-I
Complex Analysis — Volume I: Complete Course Book, Theorems, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Complex Analysis / Complex VariablesUniversity / ADP, BS, BSc, MSc and revision
Study Complex Analysis Volume I in 54 chapters with rigorous theorems, proofs, worked examples, solved problems, contour integration, residues and conformal mapping. 54 chapters and 249 A4 pages, with Cauchy theory, series, residues, conformal mapping, harmonic methods, normal families, Picard theorems and Runge approximation.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Complex Analysis where the programme supports the subject
- BS Mathematics — Books, Notes & Solutions → Complex Analysis / Complex Analysis I / Complex Variables
- Legacy BSc Mathematics — Books, Notes & Solutions → Complex Analysis / Complex Variables
- MSc / Master’s Mathematics — Complex Analysis revision and advanced one-variable function theory
- Mathematics Library — separate owner-resource record
- University Mathematics / Complex Analysis subject family — one canonical child page
- Related from Real Analysis, Calculus, ODE/PDE, Mathematical Physics, Numerical Analysis, Functional Analysis and Topology
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-LA-COMPLETE-BOOK
Linear Algebra — Complete Course Book, Theorems, Proofs & Solved Problems
Rana Ali Hasan · Mehreen Kanwal
Linear AlgebraUniversity / Undergraduate
19-chapter Linear Algebra resource with matrices, systems, vector spaces, transformations, eigenvalues, orthogonality, spectral theory, canonical forms and computational applications.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- BS Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Legacy BSc Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Mathematics Library — separate owner-resource record
- Algebra subject hub — Linear Algebra child card
- Mathematics for Computing & Other Programs — contextual Linear Algebra discovery
Notes & SolutionsTMH-AA1-GROUP-THEORY
Abstract Algebra-I (Algebra-I / Algebra 1): Group Theory — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Group TheoryUniversity / Undergraduate
18-chapter proof-based Group Theory resource covering algebraic preliminaries, groups, subgroups, cyclic groups, cosets, homomorphisms, actions, Cauchy and Sylow theory.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra (where Group Theory is offered)
- BS Mathematics — Books, Notes & Solutions → Algebra / Abstract Algebra
- Legacy BSc Mathematics — Books, Notes & Solutions → Algebra
- Mathematics Library — separate owner-resource record
- Abstract Algebra hub — Algebra-I / Group Theory child card
- Related from Linear Algebra — separate algebra-family resource
Notes & SolutionsTMH-AA2-RINGS-FIELDS-MODULES
Abstract Algebra-II (Algebra-II / Algebra 2): Rings, Fields & Modules — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Rings, Fields & ModulesUniversity / Undergraduate and revision
23-chapter Abstract Algebra-II resource covering rings, ideals, quotient rings, ED/PID/UFD, polynomial rings, finite fields, extensions and modules.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra (where Rings, Fields & Modules is offered)
- BS Mathematics — Books, Notes & Solutions → Algebra / Abstract Algebra
- Legacy BSc/MSc Mathematics — Algebra resources
- Mathematics Library — separate owner-resource record
- Abstract Algebra hub — Algebra-II / Rings, Fields & Modules child card
- Related from Abstract Algebra-I — continuation resource
Notes & SolutionsTMH-QR-V1-2026
Quantitative Reasoning — Volume I Complete 2026
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Quantitative ReasoningUniversity / General Education / Computing & Other Programs
Complete 16-unit quantitative reasoning course resource with explanations, worked examples, exercise banks, a master formula sheet and applied practice.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Quantitative Reasoning
- BS Mathematics — Quantitative Reasoning / General Education resources
- Legacy BSc Mathematics — Supplementary undergraduate quantitative resource
- Mathematics Library — separate owner-resource record: QR-V1-2026
- Quantitative Reasoning hub — individual Volume I card
- Mathematics for Computing & Other Programs — contextual Quantitative Reasoning discovery
Notes & SolutionsTMH-DISCRETE
Discrete Mathematics — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Discrete MathematicsUniversity / Undergraduate
Complete 20-chapter course resource covering logic, proofs, sets, relations, counting, graph theory, algorithms, Boolean algebra, automata and advanced discrete methods.
6 mapped course placements
- ADP / ADP Mathematics — Books, Notes & Solutions
- BS Mathematics — Books, Notes & Solutions / Discrete Structures
- Legacy BSc Mathematics — relevant Discrete Mathematics discovery
- MSc Mathematics — foundation and revision support only
- Mathematics for Computing & Other Programs — primary Discrete Mathematics discovery
- Mathematics Library — separate owner-resource record
Notes & SolutionsTMH-CALC-I
Calculus I Complete Solved Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Functions, limits, continuity, derivatives, applications, integration and applications of definite integrals with worked examples and practice material.
3 mapped course placements
- ADP Mathematics — Calculus I
- BS Mathematics — Single Variable Calculus
- Legacy BSc — Calculus and Analytic Geometry
Notes & SolutionsTMH-CALC-II
Calculus II Complete Course Book & Solved Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Integration techniques, improper integrals, sequences, convergence tests, power series, Taylor/Maclaurin series, parametric equations and polar calculus.
3 mapped course placements
- ADP Mathematics — Calculus II
- BS Mathematics — Integral Calculus
- Legacy BSc — Advanced Calculus
Notes & SolutionsTMH-CALC-III
Calculus III Multivariable & Vector Calculus Complete Notes
Rana Ali Hasan · Mehreen Kanwal
CalculusUniversity / Undergraduate
Vectors, partial derivatives, gradients, optimization, multiple integration, vector fields, line integrals, Green, Stokes and Divergence theorems.
3 mapped course placements
- ADP Mathematics — Calculus III
- BS Mathematics — Multivariable Calculus
- MSc Mathematics — Foundation revision
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-NUMBER-THEORY
Number Theory — Complete Course Notes & Book
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Number TheoryUniversity / Undergraduate and advanced bridge
Study Number Theory from divisibility and primes to congruences, quadratic reciprocity, Diophantine equations, continued fractions, algebraic number theory, finite fields and cryptographic applications, with proofs, worked examples and exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- BS Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Number Theory / Higher Arithmetic
- Legacy MSc / revision — foundation discovery where Number Theory is relevant
- Mathematics Library — separate owner-resource record
- University Mathematics / Pure Mathematics subject hub — Number Theory child card
- Mathematics for Computing & Other Programs — contextual discovery from Discrete Mathematics, Cryptography and Finite Fields
- Related from Discrete Mathematics, Abstract Algebra and Cryptography — one canonical Number Theory page
Notes & SolutionsTMH-ODE-COMPLETE-BOOK
Ordinary Differential Equations (ODE) — Complete Course Notes & Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Ordinary Differential Equations (ODE)University / ADP, BS, BSc and MSc revision
Study Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications. 26 visible chapters progress from first-order equations to dynamical systems, Sturm–Liouville theory, numerical methods and asymptotics.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- BS Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Differential Equations
- Legacy MSc Mathematics — Books, Notes & Solutions → Differential Equations / Mathematical Methods
- Mathematics Library — separate owner-resource record
- Mathematics for Computing & Other Programs — contextual ODE discovery where relevant
- Related from Numerical Analysis, PDE, Mathematical Modelling, Calculus and Linear Algebra
Notes & SolutionsTMH-NUMERICAL-ANALYSIS-I
Numerical Analysis-I / Numerical Methods — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Numerical Analysis / Numerical MethodsUniversity / ADP, BS, BSc, MSc and Computing
Study Numerical Analysis-I / Numerical Methods in a 40-chapter Math Hub course book with 293 worked examples covering errors, roots, linear systems, interpolation, ODEs, PDEs, FEM, optimization and FFT.
7 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Numerical Analysis / Numerical Methods
- ADP / Associate Degree Mathematics — relevant Numerical Methods discovery
- Legacy BSc/MSc Mathematics — Numerical Analysis / Numerical Methods revision
- Mathematics for Computing & Other Programs — contextual numerical-computing discovery
- Mathematics Library — separate owner-resource record
- Numerical Analysis subject hub — one canonical child resource
- Related from Linear Algebra, ODE, PDE, Calculus and Mathematical Computing
Notes & SolutionsTMH-THEORY-OF-SPLINES-VOLUME-I
Theory of Splines — Volume I: Foundations, Curve Fitting & Interpolation
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Theory of Splines / Interpolation / Approximation / Numerical AnalysisUniversity / BSc, BS and MSc Mathematics; ADP foundation overlap
Solved BSc/BS–MSc mathematics notes covering geometric foundations, affine transformations, curve fitting, least squares, Lagrange/Newton interpolation, central differences, Gauss formulas and Hermite interpolation.
7 mapped course placements
- ADP Mathematics — Numerical Analysis / Interpolation / Computational Mathematics · foundational overlap
- BS Mathematics — Numerical Analysis / Approximation & Interpolation / Spline Theory
- Legacy BSc Mathematics — Numerical Analysis / Interpolation / Approximation
- MSc Mathematics — Computational/Numerical Mathematics → Theory of Splines / Approximation
- Mathematics Library — interpolation, numerical analysis, approximation, affine geometry and spline foundations
- Spline subject hub — Spline → Spline I → one canonical detail page
- Related from Numerical Analysis, Approximation Theory, Computational Mathematics and Computer-Aided Geometric Design
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
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
Notes & SolutionsTMH-REAL-ANALYSIS-I
Real Analysis I — Volume I — Complete Solved Notes
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Real Analysis IUniversity / ADP, BS, BSc, MSc and revision
Study Real Analysis I with rigorous definitions, expanded proofs, worked examples and exercises across real numbers, sequences, series, limits, continuity, differentiation, integration and multivariable analysis. Verified structure: 20 chapters, 133 sections, 295 theorem/result boxes and 174 worked examples.
7 mapped course placements
- ADP Mathematics — Real Analysis / Analysis discovery
- BS Mathematics — Real Analysis / Mathematical Analysis
- Legacy BSc Mathematics — Real Analysis revision
- Legacy MSc Mathematics — Real Analysis-I / Analysis revision
- Mathematics Library — separate owner-resource record
- Real Analysis I family — Volume I child card
- Related from Calculus, Topology/Metric Spaces, Numerical Analysis, ODE/PDE and Real Analysis II
Notes & SolutionsTMH-REAL-ANALYSIS-I-VOLUME-III
Real Analysis I — Volume III Complete Solved Notes
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Real Analysis IUniversity / ADP, BS, BSc, MSc and revision
Real Analysis I Volume III solved notes with rigorous proofs, worked examples and solved exercises on real numbers, sequences, series, limits, continuity, differentiation and Riemann integration. Verified review structure: 454 A4 pages, 6 chapters, 68 section/exercise pairs and topic exercises solved.
6 mapped course placements
- ADP Mathematics — Real Analysis / Analysis discovery
- BS Mathematics — Real Analysis I / Mathematical Analysis discovery
- Legacy BSc and MSc Mathematics — Real Analysis revision
- Real Analysis I family — Volume III child card
- Mathematics Library — separate owner-resource record
- Related from Calculus, Topology/Metric Spaces, Complex Analysis, Measure Theory and Real Analysis II
Notes & SolutionsTMH-REAL-ANALYSIS-II
Real Analysis II — Complete Course Notes, Proofs & Solved Problems
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Real Analysis IIUniversity / BS, BSc, MSc, MS and MPhil revision
A complete 20-chapter Real Analysis II course resource covering rigorous Riemann and Riemann-Stieltjes integration, bounded variation, improper integrals, uniform convergence, power series, approximation, Fourier series, Euclidean spaces, multivariable analysis and multiple Riemann integration.
6 mapped course placements
- BS Mathematics — Real Analysis II / Advanced Analysis discovery
- Legacy BSc / MSc Mathematics — Real Analysis and advanced calculus revision
- ADP Mathematics — relevant analysis overlap where offered
- MS / MPhil Mathematics — rigorous refresher and research preparation
- Mathematics Library — separate owner-resource record
- Related from Calculus, Measure Theory, Functional Analysis and Topology
