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-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-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-0181
Early Algebra: Research into its Nature, its Learning, its Teaching
Kieran, Carolyn; Pang, JeongSuk; Schifter, Deborah; Ng, Swee Fong
AlgebraBS / MS-MPhil / PhD
Springer Nature · 2016 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-1140
Recent Research in Polynomials
Not specified in source metadata
CalculusBS / MS-MPhil / PhD
2023 · See official DOAB record
BooksLIB-0524
Research Advances in Chaos Theory
Bracken, Paul
CalculusBS / MS-MPhil / PhD
IntechOpen · 2020 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0168
Differential Equations - Theory and Current Research
Terry E. Moschandreou
Differential EquationsBS / MS-MPhil / PhD
IntechOpen · 1st Edition
BooksLIB-0797
Researches on curves of the second order — Also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis; also several of the geometrical conclusions of M. Chasles are analytically resolved, together with many properties entirely original
Hearn, George Whitehead, 1812-1851
Geometry & TrigonometryADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.
BooksLIB-0078
Applications of Operational Research and Mathematical Models in Management
Chalikias, Miltiadis
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0304
Lines of Inquiry in Mathematical Modelling Research in Education
Stillman, Gloria Ann; Brown, Jill P.
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
Springer Nature · 2019 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0325
Mathematical Methods and Operation Research in Logistics, Project Planning, and Scheduling
Kosztyán, Zsolt Tibor; Kovács, Zoltán
Mathematical Modeling & Applied MathematicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0349
Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education
Mathematics Study Panel, RAND; Loewenberg, Deborah
Mathematics Education & GeneralBS / MS-MPhil / PhD
RAND Corporation · 2003 · http://www.rand.org/pubs/permissions.html
BooksLIB-0526
Research on Teaching and Learning Mathematics at the Tertiary Level
Biza, Irene; Giraldo, Victor; Hochmuth, Reinhard; Khakbaz, Azimeh Sadat; Rasmussen, Chris
Mathematics Education & GeneralBS / MS-MPhil / PhD
Springer Nature · 2016 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0598
The Evolution of Research on Teaching Mathematics
Manizade, Agida; Buchholtz, Nils; Beswick, Kim
Mathematics Education & GeneralBS / MS-MPhil / PhD
Springer Nature · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0945
A Game-Theoretic Perspective on Coalition Formation
Ray, Debraj
Optimization & Operations ResearchBS / MS-MPhil / PhD
2007 · See official DOAB record
BooksLIB-0018
Additive Manufacturing of High-performance Metals and Alloys - Modeling and Optimization
Igor V. Shishkovsky
Optimization & Operations ResearchBS / MS-MPhil / PhD
IntechOpen · 1st Edition
BooksLIB-0019
Additive Manufacturing – Process Optimisation
Obeidi, Muhannad Ahmed
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2024 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0024
Advanced Modeling and Research in Hybrid Microgrid Control and Optimization
Bizon, Nicu
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0025
Advanced Modeling, Control, and Optimization Methods in Power Hybrid Systems - 2021
Bizon, Nicu
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0027
Advanced Optimization Methods and Big Data Applications in Energy Demand Forecast
Gómez Vela, Francisco A.; García-Torres, Miguel; Divina, Federico
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0029
Advanced Technologies for the Optimization of Internal Combustion Engines
Tornatore, Cinzia; Marchitto, Luca
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0030
Advanced Technologies in Agricultural Engineering and Energy Optimization
Bolshev, Vadim; Panchenko, Vladimir; Kumar, Nallapaneni Manoj; Vasant, Pandian; Litvinchev, Igor; Chakrabarti, Prasun
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2024 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0033
Advances and Novel Approaches in Discrete Optimization
Werner, Frank
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0036
Advances in Array Optimization
Aksoy, Ertugrul
Optimization & Operations ResearchBS / MS-MPhil / PhD
IntechOpen · 2020 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0037
Advances in Artificial Intelligence: Models, Optimization, and Machine Learning
Leon, Florin; Hulea, Mircea; Gavrilescu, Marius
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0040
Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes
Gao, Zhiwei; Chen, Michael; Zhang, Dapeng
Optimization & Operations ResearchBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
