Canonical mathematics library

Books, notes and solutions—kept distinct.

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Books, Notes, MCQs and Mock Tests

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.

124 canonical resources found

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
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-19

Geometry MCQs — 100 Solved Questions

Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics

Geometry MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation

100 fully solved questions covering lines and angle relations, straight-line/around-point angles, triangles and angle sum, isosceles/equilateral triangles, Pythagoras theorem, quadrilaterals. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.

3 mapped course placements
  • Competitive Exams → Basic Math MCQs / One-Paper pathway
  • Mathematics Library → Notes & Solutions → Solved MCQ Booklet
  • PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Topology — Volume I: General Topology / Point-Set Topology — Complete Course Book poster
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
Calculus I Complete Solved Notes poster
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
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
Theory of Splines — Volume I: Foundations, Curve Fitting & Interpolation poster
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
Theory of Splines — Volume II poster
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
BooksLIB-0369

Metric Algebraic Geometry

Breiding, Paul; Kohn, Kathlén; Sturmfels, Bernd

AlgebraADP / BS / MS-MPhil

Springer Nature · 2024 · https://creativecommons.org/licenses/by-nc-nd/4.0/

BooksLIB-0120

Calculus with Analytic Geometry for B.A./B.Sc. & Engineering Students

S. M. Yousuf

CalculusADP / BS / Legacy BSc

Ilmi Kitab Khana · Commercial copyright

BooksLIB-0292

Key to Calculus with Analytic Geometry

S. M. Yousuf

CalculusADP / BS / Legacy BSc

Ilmi Kitab Khana · Commercial copyright

BooksLIB-0541

Spectral Geometry of Graphs

Kurasov, Pavel

CalculusBS / MS-MPhil / PhD

Springer Nature · 2024 · https://creativecommons.org/licenses/by/4.0/

BooksLIB-1104

Artificial Intelligence and Machine Learning Based Methods and Applications

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2024 · See official DOAB record

BooksLIB-0960

Fractal Analysis

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2017 · See official DOAB record

BooksLIB-0970

Il premio Laboratorio Matematico “Riccardo Ricci” 2014-2016

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2019 · See official DOAB record

BooksLIB-1146

Imaging and engineering optical localized modes at the nanoscale

Caselli, Niccolò

Geometry & Differential GeometryBS / MS-MPhil / PhD

2016 · See official DOAB record

BooksLIB-0955

Konstrukční úlohy

Budínová, Irena; Pavlíčková, Lenka

Geometry & Differential GeometryBS / MS-MPhil / PhD

2020 · See official DOAB record

BooksLIB-1166

Manifolds

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2017 · See official DOAB record

BooksLIB-0976

Manifolds II

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2019 · See official DOAB record

BooksLIB-1108

Manifolds III

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2022 · See official DOAB record

BooksLIB-0996

Shapes of Imagination

Stiny, George

Geometry & Differential GeometryBS / MS-MPhil / PhD

2022 · See official DOAB record

BooksLIB-1125

Theory of Functions and Applications

Not specified in source metadata

Geometry & Differential GeometryBS / MS-MPhil / PhD

2024 · See official DOAB record

BooksLIB-0020

Advanced Control and Estimation Concepts, and New Hardware Topologies for Future Mobility

Assadian, Francis F.

Geometry & TopologyBS / MS-MPhil / PhD

MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/

BooksLIB-0031

Advanced Topics of Topology

Bulnes, Francisco

Geometry & TopologyBS / MS-MPhil / PhD

IntechOpen · 2022 · https://creativecommons.org/licenses/by/3.0/

BooksLIB-0035

Advances in Architectural Geometry 2023

Dörfler, Kathrin; Knippers, Jan; Menges, Achim; Parascho, Stefana; Pottmann, Helmut; Wortmann, Thomas

Geometry & TopologyADP / BS / MS-MPhil

De Gruyter · 2023 · https://creativecommons.org/licenses/by-nc-nd/4.0

BooksLIB-0044

Advances in Discrete Differential Geometry

Bobenko, Alexander I.

Geometry & TopologyADP / BS / MS-MPhil

Springer Nature · 2016 · https://creativecommons.org/licenses/by-nc/4.0/

BooksLIB-0053

Advances in Topological Materials

Pronin, Artem

Geometry & TopologyADP / BS / MS-MPhil

MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/

BooksLIB-0061

An Introduction to Cartesian Tensors with Applications

Khalid Latif Mir

Geometry & TopologyBS / MS-MPhil

Ilmi Kitab Khana · Commercial copyright