Notes & SolutionsTMH-INTEGRAL-EQUATIONS-WAZWAZ-SOLUTIONS
Integral Equations — Complete Solved Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Integral Equations / Fredholm / Volterra / Integral Equation SolutionsUniversity / BS Mathematics / MSc revision
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. 9 chapters, 392 reference-aligned solved slots across Chapters 1–8 and 34 additional worked applications in Chapter 9.
7 mapped course placements
- University Mathematics → Integral Equations → Solutions
- BS Mathematics → Books, Notes & Solutions → Integral Equations → Solutions
- MSc / legacy MSc Mathematics → Integral Equations revision
- MS / MPhil Mathematics → supporting advanced reference discovery where applicable
- Mathematics Library → separate owner-resource record under Solutions
- Integral Equations subject path → Solutions child card
- Related from ODE, PDE, Numerical Analysis, Functional Analysis and Special Functions
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-PDE-VOLUME-I
Partial Differential Equations (PDE) — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partial Differential Equations (PDE)University / BS, BSc, MSc and MS/MPhil bridge
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. 32 chapters cover classical equations, transforms, Green functions, numerical PDEs, weak formulations, variational methods and nonlinear PDEs.
6 mapped course placements
- BS Mathematics — Partial Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — PDE / Mathematical Methods where the scheme supports it
- Legacy MSc Mathematics — Partial Differential Equations / Applied Mathematics
- MS / MPhil Mathematics — classical-to-modern PDE bridge
- Mathematics Library — separate owner-resource record
- Related from ODE, Numerical Analysis, Fourier Analysis, Functional Analysis, Vector & Tensor Analysis and Mathematical Modelling
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-0007
A First Course in Complex Analysis
Matthias Beck; Gerald Marchesi; Dennis Pixton; Lucas Sabalka
Real, Complex & Functional AnalysisBS / MS-MPhil
Authors · Current free edition · Copyright authors; free distribution/reproduction subject to terms
BooksLIB-1126
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Marichal, Jean-Luc; Zenaïdi, Naïm
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-0676
A Primer of Real Analysis
Dan Sloughter
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
Dan Sloughter · 2009 · Attribution-NonCommercial-ShareAlike
BooksLIB-0039
Advances in Complex Analysis and Applications
Bulnes, Francisco; Hachay, Olga
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
IntechOpen · 2020 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-1165
Advances on Tensor Analysis and their Applications
Not specified in source metadata
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2020 · See official DOAB record
BooksLIB-1040
AI Knowledge Transfer from the University to Society
Not specified in source metadata
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-0930
Algorithms for Sparse Linear Systems
Scott, Jennifer; Tůma, Miroslav
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2023 · See official DOAB record
BooksLIB-1095
Analysis of Reaction-Diffusion Models with the Taxis Mechanism
Ke, Yuanyuan; Li, Jing; Wang, Yifu
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-0087
Applied Functional Analysis and Its Applications
Yao, Jen-Chih; Shahram Rezapour, Shahram
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0103
Basic Analysis I: Introduction to Real Analysis
Jiří Lebl
Real, Complex & Functional AnalysisBS / MS-MPhil
Author · Version 6.3 (2026) · CC BY-NC-SA 4.0 or CC BY-SA 4.0
BooksLIB-0104
Basic Analysis II: Introduction to Real Analysis, Volume II
Jiří Lebl
Real, Complex & Functional AnalysisBS / MS-MPhil
Author · Version 6.3 (2026) · CC BY-NC-SA 4.0 or CC BY-SA 4.0
BooksLIB-0635
Basic Analysis: Introduction to Real Analysis
Jirí Lebl
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
Jirí Lebl · 2016 · Attribution-NonCommercial-ShareAlike
BooksLIB-0732
Basic Engineering Data Collection and Analysis
Steve Vardeman
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
Iowa State University · 2001 · Attribution-NonCommercial-ShareAlike
BooksLIB-1138
Boundary Value Problems, Weyl Functions, and Differential Operators
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2020 · See official DOAB record
BooksLIB-0131
Compendium of New Techniques in Harmonic Analysis
Tahar Lamchich, Moulay
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
IntechOpen · 2018 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0132
Complex Analysis
Russell W. Howell; John Mathews
Real, Complex & Functional AnalysisBS / MS-MPhil
Authors; formerly Jones & Bartlett Learning · Updated open edition (2025/2026) · CC BY 4.0
BooksLIB-0133
Complex Variable Calculus and Transforms for Students of Science and Engineering
Khalid Latif Mir
Real, Complex & Functional AnalysisBS / MS-MPhil
Ilmi Kitab Khana · Commercial copyright
BooksLIB-1123
Complexity in Biological and Physical Systems
Not specified in source metadata
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2018 · See official DOAB record
BooksLIB-0969
Computational Physiology
Not specified in source metadata
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2022 · See official DOAB record
BooksLIB-0990
Dynamic iteration and model order reduction for magneto-quasistatic systems
Kerler-Back, Johanna
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2019 · See official DOAB record
BooksLIB-0988
Ecuaciones diferenciales ordinarias aplicadas I
Gutierrez Borda, Alberto Ernesto
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
2022-05-04 · See official DOAB record
