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-FUNCTIONAL-ANALYSIS-VOLUME-I
Functional Analysis I — Core Functional Analysis — Complete Course Book, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Functional Analysis / Operator TheoryBS Mathematics / Legacy MSc-BSc revision / MS-MPhil prerequisite and bridgeStudents moving from Real Analysis, Linear Algebra, Metric/Topology and Measure Theory into Functional AnalysisLearners who need theorem/proof structure plus solved exercises rather than a formula sheetInstructors or tutors looking for a chapter map and reference alignment, while using their own institutional syllabus as authoritySelf-learners preparing for advanced operator theory, PDE, harmonic analysis, variational methods or research-level coursework
Study Functional Analysis I (Core Functional Analysis) with chapter-wise definitions, theorems, proofs, solved work, university curriculum context, references and PDF access from The Math Hub. 36 chapters, Chapters 1–36 with chapter-wise definitions, theorem maps, proof scope, applications, crosswalks, references and dedicated FAQs.
6 mapped course placements
- BS Mathematics — Analysis / Functional Analysis discovery card
- Legacy BSc/MSc Mathematics — Functional Analysis revision where the approved scheme supports it
- MS/MPhil Mathematics — prerequisite, advanced theory or research-preparation discovery
- Functional Analysis subject hub — Volume child card
- Mathematics Library — separate owner-resource record
- Related from Real Analysis, Measure Theory, Topology, Linear Algebra, PDE and Approximation Theory
Notes & SolutionsTMH-FUNCTIONAL-ANALYSIS-VOLUME-II
Functional Analysis II — Advanced Functional Analysis — Complete Course Book, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Functional Analysis / Operator TheoryAdvanced BS Mathematics / MSc / MS-MPhil MathematicsStudents moving from Real Analysis, Linear Algebra, Metric/Topology and Measure Theory into Functional AnalysisLearners who need theorem/proof structure plus solved exercises rather than a formula sheetInstructors or tutors looking for a chapter map and reference alignment, while using their own institutional syllabus as authoritySelf-learners preparing for advanced operator theory, PDE, harmonic analysis, variational methods or research-level coursework
Study Functional Analysis II (Advanced Functional Analysis) with chapter-wise definitions, theorems, proofs, solved work, university curriculum context, references and PDF access from The Math Hub. 27 chapters, Chapters 37–63 with chapter-wise definitions, theorem maps, proof scope, applications, crosswalks, references and dedicated FAQs.
6 mapped course placements
- BS Mathematics — Analysis / Functional Analysis discovery card
- Legacy BSc/MSc Mathematics — Functional Analysis revision where the approved scheme supports it
- MS/MPhil Mathematics — prerequisite, advanced theory or research-preparation discovery
- Functional Analysis subject hub — Volume child card
- Mathematics Library — separate owner-resource record
- Related from Real Analysis, Measure Theory, Topology, Linear Algebra, PDE and Approximation Theory
Notes & SolutionsTMH-FUNCTIONAL-ANALYSIS-VOLUME-III
Functional Analysis III — Applications of Functional Analysis — Complete Course Book, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Functional Analysis / Operator TheoryAdvanced BS / MSc / MS-MPhil Mathematics; analysis and PDE applicationsStudents moving from Real Analysis, Linear Algebra, Metric/Topology and Measure Theory into Functional AnalysisLearners who need theorem/proof structure plus solved exercises rather than a formula sheetInstructors or tutors looking for a chapter map and reference alignment, while using their own institutional syllabus as authoritySelf-learners preparing for advanced operator theory, PDE, harmonic analysis, variational methods or research-level coursework
Study Functional Analysis III (Applications of Functional Analysis) with chapter-wise definitions, theorems, proofs, solved work, university curriculum context, references and PDF access from The Math Hub. 9 chapters, Chapters 64–72 with chapter-wise definitions, theorem maps, proof scope, applications, crosswalks, references and dedicated FAQs.
6 mapped course placements
- BS Mathematics — Analysis / Functional Analysis discovery card
- Legacy BSc/MSc Mathematics — Functional Analysis revision where the approved scheme supports it
- MS/MPhil Mathematics — prerequisite, advanced theory or research-preparation discovery
- Functional Analysis subject hub — Volume child card
- Mathematics Library — separate owner-resource record
- Related from Real Analysis, Measure Theory, Topology, Linear Algebra, PDE and Approximation Theory
Notes & SolutionsTMH-FUNCTIONAL-ANALYSIS-VOLUME-IV
Functional Analysis IV — Advanced Topics in Functional Analysis — Complete Course Book, Proofs & Solved Problems
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Functional Analysis / Operator TheoryMS-MPhil Mathematics / advanced MSc / research-preparation readingStudents moving from Real Analysis, Linear Algebra, Metric/Topology and Measure Theory into Functional AnalysisLearners who need theorem/proof structure plus solved exercises rather than a formula sheetInstructors or tutors looking for a chapter map and reference alignment, while using their own institutional syllabus as authoritySelf-learners preparing for advanced operator theory, PDE, harmonic analysis, variational methods or research-level coursework
Study Functional Analysis IV (Advanced Topics in Functional Analysis) with chapter-wise definitions, theorems, proofs, solved work, university curriculum context, references and PDF access from The Math Hub. 12 chapters, Chapters 73–84 with chapter-wise definitions, theorem maps, proof scope, applications, crosswalks, references and dedicated FAQs.
6 mapped course placements
- BS Mathematics — Analysis / Functional Analysis discovery card
- Legacy BSc/MSc Mathematics — Functional Analysis revision where the approved scheme supports it
- MS/MPhil Mathematics — prerequisite, advanced theory or research-preparation discovery
- Functional Analysis subject hub — Volume child card
- Mathematics Library — separate owner-resource record
- Related from Real Analysis, Measure Theory, Topology, Linear Algebra, PDE and Approximation Theory
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-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
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-0058
Algebraic Topology
Allen Hatcher
Geometry & TopologyMS-MPhil / PhD
Cambridge University Press / Author · 2002; continuously corrected online · Free electronic version by arrangement with publisher; see copyright notice
BooksLIB-0061
An Introduction to Cartesian Tensors with Applications
Khalid Latif Mir
Geometry & TopologyBS / MS-MPhil
Ilmi Kitab Khana · Commercial copyright
BooksLIB-0064
An Introduction to Vector Analysis With Applications to Geometry and Mechanics
Khalid Latif Mir
Geometry & TopologyBS
Ilmi Kitab Khana · Commercial copyright
BooksLIB-0169
Differential Geometrical Theory of Statistics
Frédéric Barbaresco (Ed.); Frank Nielsen (Ed.)
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0170
Differential Geometry
Mihai, Ion
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0171
Differential Geometry
Pinkall, Ulrich; Gross, Oliver
Geometry & TopologyADP / BS / MS-MPhil
Springer Nature · 2024 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0182
Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
Swoboda, Ewa; Vighi, Paola
Geometry & TopologyADP / BS / MS-MPhil
Springer Nature · 2016 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0188
Electrified Powertrains for a Sustainable Mobility: Topologies, Design and Integrated Energy Management Strategies
Tribioli, Laura; Villani, Manfredi
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0194
Emerging Converter Topologies and Control for Grid Connected Photovoltaic Systems
Vinnikov, Dmitri; Kouro, Samir; Yang, Yongheng
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0216
Fixed Point Theory and Chaos
Huerta-Cuellar, Guillermo
Geometry & TopologyADP / BS / MS-MPhil
IntechOpen · 2023 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0221
Fractal Analysis and Chaos in Geosciences
Ouadfeul, Sid-Ali
Geometry & TopologyADP / BS / MS-MPhil
IntechOpen · 2012 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0243
Geometric Analysis of Nonlinear Partial Differential Equations
Lychagin, Valentin; Krasilshchik, Joseph
Geometry & TopologyBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0244
Geometric Regularization in Bioluminescence Tomography
Kreutzmann, Tim
Geometry & TopologyADP / BS / MS-MPhil
KIT Scientific Publishing · 2014 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0245
Geometrical Theory of Analytic Functions
Oros, Georgia Irina
Geometry & TopologyADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0246
Geometrically exact theory for contact interactions
Konyukhov, Alexander
Geometry & TopologyADP / BS / MS-MPhil
KIT Scientific Publishing · 2011 · https://creativecommons.org/licenses/by-nc-nd/4.0/
