Degree to course discovery
Degree → University → Subject → Resource
Use the degree pathway, university programme, Mathematics subject and genuine The Math Hub Library resource together. University eligibility, semester placement and current programme rules remain institution-specific.
MSc Mathematics · complete book shelf
All University Mathematics Books & Notes
This same poster directory is mirrored across ADP, BS, BSc, MSc, MS and MPhil Mathematics. Every card opens one canonical The Math Hub HTML resource, so a book remains easy to find from any programme section without creating duplicate pages.
Canonical book / notesStudy Calculus I with complete notes, step-by-step solved examples, formulas, graphs and practice exercises covering functions, limits, derivatives and integrals.
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Canonical book / notesComplete Calculus II notes with solved examples and exercises on integration techniques, improper integrals, sequences, series, Taylor series, parametric equations and polar calculus.
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Canonical book / notesStudy Calculus III with complete notes, solved examples and exercises on vectors, partial derivatives, multiple integrals, line and surface integrals, Green, Stokes and Divergence theorems.
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Canonical book / notesStudy 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.
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Canonical book / notesFoundational quantitative reasoning with number sense, algebraic models, graphs, data and practical applications.
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Canonical book / notesSolution-focused continuation with worked methods, interpretation, probability, financial mathematics and review practice.
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Canonical book / notesA practical toolkit for applying quantitative ideas through structured examples, tables, diagrams and problem-solving strategies.
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Canonical book / notesComplete worked solutions and applied quantitative practice for computing and other university programmes.
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Canonical book / notesLinear Algebra notes PDF and complete course book with 19 chapters covering matrices, systems, vector spaces, transformations, eigenvalues, orthogonality, spectral theory, canonical forms and computational applications.
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Canonical book / notesStudy Abstract Algebra-I / Group Theory with definitions, theorems, proofs, worked examples and exercises covering groups, subgroups, homomorphisms, actions, Cauchy and Sylow theory.
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Canonical book / notesComplete Abstract Algebra-II resource covering rings, ideals, quotient rings, ED/PID/UFD, polynomials, fields, extensions and modules with proofs, examples and exercises.
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Canonical book / notesStudy 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.
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Canonical book / notesVector algebra, vector calculus, integral theorems, curvilinear coordinates, tensors, metric geometry and curvature.
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Canonical book / notes975 topic-wise solutions across vector analysis, tensor analysis, metrics, Christoffel symbols and curvature.
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Canonical book / notesStudy Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications.
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Canonical book / notesStudy 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.
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Canonical book / notesStudy 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.
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Canonical book / notesSolved BSc/BS–MSc mathematics notes covering geometric foundations, affine transformations, curve fitting, least squares, Lagrange/Newton interpolation, central differences, Gauss formulas and Hermite interpolation.
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Canonical book / notesStudy 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.
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Canonical book / notesStudy 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.
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Canonical book / notesStudy 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.
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Canonical book / notesStudy 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.
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Canonical book / notesLogic, proof, sets, relations, counting, algorithms, graph theory, Boolean algebra, automata and discrete structures.
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Canonical book / notesA 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.
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Canonical book / notesStudy 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.
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Canonical book / notesStudy Special Functions I with solved BS/MSc notes on Gamma-Beta, hypergeometric, Bessel, Legendre, orthogonal polynomials, Airy functions and applications.
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Canonical book / notesRigorous real numbers, sequences, series, limits, continuity, differentiation, integration and multivariable foundations.
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Canonical book / notesReal 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.
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Canonical book / notesA 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.
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Canonical book / notesStudy Complex Analysis Volume I in 54 chapters with rigorous theorems, proofs, worked examples, solved problems, contour integration, residues and conformal mapping.
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Canonical book / notesBuild the complete foundation: metric and normed spaces, Banach and Hilbert spaces, L^p spaces, operators, duality, Hahn–Banach, Baire-category theorems, orthogonality, adjoints and variational applications.
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Canonical book / notesDevelop weak and weak-* topologies, compactness, Banach-space geometry, bases, compact/Fredholm operators, spectral theory, Banach and C*-algebras, unbounded operators, fixed points and approximation theory.
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Canonical book / notesApply functional analysis to distributions, Fourier analysis, Sobolev spaces, compact embeddings, traces, weak PDE formulations, Galerkin approximation and semigroup evolution equations.
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Canonical book / notesExtend the series into representation by measures, advanced duality, local reflexivity, Banach lattices, L^p compactness, spectral measures, unbounded spectral calculus, interpolation, Lorentz/Orlicz spaces and vector integration.
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Canonical book / notes451-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.
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Canonical book / notesStudy 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.
Open canonical resource → Programme placement is a discovery aid; course titles, semester placement and official syllabus rules remain institution-specific. The poster, title and canonical link above are the same across every mirrored degree section.
Foundation / revisionFoundational Calculus & Vector Calculus Revision
Review Calculus I–III, multivariable calculus, multiple integration and vector-calculus foundations used in advanced MSc Mathematics courses.
Explore Complete Calculus → Prerequisite / revision discoveryPlane Curves & Analytic Geometry — Complete Course Notes
Use this undergraduate resource for prerequisite and revision work. It is not presented as an advanced MSc geometry replacement. 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.
Open the complete Plane Curves & Analytic Geometry resource →Books, notes & solutions · MSc algebra resourcesAbstract Algebra-II — Rings, Fields & Modules
Use the same canonical Resource-03 HTML page for MSc-level algebra revision and related Rings, Fields and Modules study. This is a discovery placement, not an official MSc syllabus or university endorsement.
Open the complete Rings, Fields & Modules resource →Foundation / revision resourceTopology Volume I — General Topology / Point-Set Topology
Use the canonical Topology Volume I resource for prerequisite, revision and advanced General-Topology preparation. This is contextual discovery, not a claim that every MSc/MS syllabus has the same course structure.
Open the complete Topology Volume I resource →Books, notes & solutions · vector/tensor course familyVector and Tensor Analysis — Course Book + Volume II Solutions
Keep the primary theory course book and its separate Volume II exercise-solution companion discoverable from the same programme shelf. These are navigation aids and do not claim an official university syllabus.
Open Vector and Tensor Analysis course book →Open Volume II Complete Exercise Solutions →Foundation / revision resourceOrdinary Differential Equations (ODE) — Complete Course Notes & Book
Use the same canonical resource for MSc revision and advanced study across systems, stability, boundary-value problems, Sturm–Liouville, numerical ODEs and asymptotic methods.
Open the complete Ordinary Differential Equations (ODE) resource →Foundation / revision resourceNumerical Analysis-I and Numerical Analysis-II — Complete Course Resources
Use the two canonical resources for Numerical Analysis and computational-methods revision: Numerical Analysis-I establishes the foundation, while Numerical Analysis-II advances into stability, BVPs, Krylov methods, PDEs, FEM and verified scientific computing.
Open Numerical Analysis-I →Open Numerical Analysis-II →Foundation / revision resourceIntegral Equations — Complete Solved Solutions
Use this canonical Solutions resource for Integral Equations revision; exact university course placement remains authoritative. 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.
Open the complete Integral Equations Solutions resource →Foundation / revision resourceFundamentals of Mechanics — Complete Course Book
Use the same canonical Fundamentals of Mechanics resource for relevant Theoretical Mechanics / Dynamics foundation and revision; institution-specific naming and sequencing remain authoritative.
Open the complete Fundamentals of Mechanics resource →Advanced foundation / revision resourceClassical Mechanics — Complete Course Book
Use the canonical Classical Mechanics resource for relevant Mechanics, Analytical Dynamics and Mathematical Physics revision; institution-specific naming and sequencing remain authoritative.
Open the complete Classical Mechanics resource →Foundation / applied mathematics resourcePartial Differential Equations (PDE) — Complete Course Book
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. This is one canonical HTML resource for the relevant BS, legacy BSc and MSc discovery placement; institution-specific schemes remain authoritative.
Open the complete Partial Differential Equations (PDE) resource →Books, notes & solutions · Functional AnalysisFunctional Analysis — Volumes I–IV
Use the four distinct canonical Functional Analysis resources for BS and MSc discovery: core foundations first, then advanced theory, applications and advanced topics where the approved scheme supports them. University course names, codes and semester placement remain institution-specific.
Open the Functional Analysis series hub →Foundation / revision resourceDifferential Geometry — Complete Solved University Notes
Use the canonical Differential Geometry notes for Applicable Differential Geometry, classical curves and surfaces, curvature, geodesics and traditional BSc/MSc revision; institution-specific schemes remain authoritative.
Open the complete Differential Geometry resource →Foundation / revision resourceDiscrete Mathematics — Complete Course Book
Use this complete undergraduate resource only for relevant MSc foundation or revision support; it is not a universal MSc core resource.
Foundation / revision resourceGraph Theory Volume I — Complete Notes, Proofs & Algorithms
Use the same canonical Graph Theory Volume I page for legacy BSc/MSc Graph Theory, Discrete Mathematics and combinatorics discovery; institution-specific schemes remain authoritative.
Open the complete Graph Theory Volume I resource →Foundation / revision resourceNumber Theory — Complete Course Notes & Book
Use this complete resource for relevant MSc foundation or revision support; advanced algebraic and analytic chapters are explicitly bounded by prerequisites.
Open the canonical Number Theory resource →Foundation / revision resourceSpecial Functions-I — Complete Solved Notes for BS & MSc Mathematics
Use this canonical Special Functions-I resource for classical and generalized special-functions revision, including Gamma/Beta, hypergeometric, Bessel, Legendre, orthogonal polynomials, Airy functions and mathematical-physics connections.
Open the complete Special Functions-I resource →Books, notes & solutions · Real Analysis / Pure MathematicsReal Analysis I Volumes I–III and Real Analysis II
Use the separate canonical Real Analysis I volume family and Real Analysis II resource for MSC Mathematics discovery; institution-specific syllabi remain authoritative.
Volume II keeps its separate reserved placement on the Real Analysis I family page until the exact asset is available.
Open the Real Analysis I volume family →Explore Volume III →Open the separate Real Analysis II resource →Books, notes & solutions · Complex Analysis / Complex VariablesComplex Analysis — Volume I / Complex Analysis I / Complex Variables
Use the same canonical Complex Analysis Volume I resource for relevant ADP, BS and legacy BSc/MSc discovery. Institution-specific course names, codes and semester placement remain authoritative.
Open the complete Complex Analysis Volume I resource →