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.
ADP 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.
University course familyCalculus I–III Complete Notes
A structured three-course sequence progressing from functions, limits and derivatives through advanced integration, infinite series, multivariable calculus and vector calculus.
Explore Complete Calculus → Books, notes & solutions · Geometry / Analytic GeometryPlane Curves & Analytic Geometry — Complete Course Notes
Use this 19-chapter course resource where the ADP scheme includes Plane Curves & Analytic Geometry; exact semester placement remains institution-specific. 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 & solutionsQuantitative Reasoning — Four Core Books
Explore each original owner resource through its own poster card and canonical detail page. These resources may support ADP, BS and BSc learners where applicable; semester placement remains institution-specific.
Explore the complete Quantitative Reasoning hub →Books, notes & solutionsAlgebra — Three Separate Core Books
Keep Linear Algebra, Abstract Algebra-I / Group Theory and Abstract Algebra-II / Rings, Fields & Modules as separate canonical resources.
Linear Algebra — Complete Course BookMatrices, systems, vector spaces, transformations, eigenvalues, orthogonality and computational applications.Open book details →Abstract Algebra-I (Algebra 1) — Group TheoryA proof-based Group Theory resource covering groups, subgroups, cosets, homomorphisms, quotient groups and Sylow theory.Open book details →Abstract Algebra-II (Algebra 2) — Rings, Fields & ModulesAn advanced algebra resource covering rings, ideals, quotient rings, polynomial rings, fields, extensions and modules.Open book details → Open Abstract Algebra subject hub →Books, notes & solutions · Topology / General TopologyTopology Volume I — General Topology / Point-Set Topology
Use this resource where Basic Topology, Metric Spaces or Metric & Topological Spaces is offered or used as a bridge into BS.
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 →Books, notes & solutions · Differential Equations / Applied MathematicsOrdinary Differential Equations (ODE) — Complete Course Notes & Book
Study Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications. The complete 26-chapter resource is a discovery companion for the relevant ADP, BS and legacy BSc Mathematics pathway.
Open the complete Ordinary Differential Equations (ODE) resource →Books, notes & solutions · Numerical Analysis / Numerical MethodsNumerical Analysis-I and Numerical Analysis-II — Complete Course Resources
Use the separate canonical Numerical Analysis-I and Numerical Analysis-II resources for the relevant ADP, BS and legacy BSc/MSc Mathematics pathways; institution-specific schemes remain authoritative.
Open Numerical Analysis-I →Open Numerical Analysis-II →Books, notes & solutions · Integral EquationsIntegral Equations — Complete Solved Solutions
Use where Integral Equations is offered or needed in the current programme; exact placement remains institution-specific. 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 →Books, notes & solutions · MechanicsFundamentals of Mechanics — Complete Course Book
A 40-chapter mathematics-first course book for ADP and BS Mathematics covering vector mechanics, Newtonian particle dynamics, kinematics, energy, momentum, oscillations, central forces, statics, friction and virtual work.
Open the complete Fundamentals of Mechanics resource →Contextual course resourceDifferential Geometry — Complete Solved University Notes
Use this discovery card only where Differential Geometry is offered or needed for BS-completion revision; the exact ADP scheme remains institution-specific.
Open the complete Differential Geometry resource →Books, notes & solutionsDiscrete Mathematics — Complete Course Book
A complete 20-chapter university resource covering logic, proofs, sets, relations, counting, graph theory, algorithms, Boolean algebra, automata and advanced discrete methods.
Contextual course resourceGraph Theory Volume I — Complete Notes, Proofs & Algorithms
Use this resource where Introduction to Graph Theory or a Graph Theory component is offered; the exact ADP scheme and semester placement remain institution-specific.
Open the complete Graph Theory Volume I resource →Books, notes & solutions · Number Theory / Pure MathematicsNumber Theory — Complete Course Notes & Book
A proof-based 24-chapter Number Theory resource covering divisibility, primes, congruences, Diophantine equations, reciprocity, computation, cryptography and further directions.
Open the canonical Number Theory 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 ADP 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 →