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-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-0364
Measure Theory in Non-Smooth Spaces
Gigli, Nicola
Real, Complex & Functional AnalysisBS / MS-MPhil / PhD
De Gruyter · 1 · https://creativecommons.org/licenses/by-nc-nd/4.0/
Notes & SolutionsUNS-MIT-FOURIER-18103
MIT 18.103 Fourier Analysis — Notes & Eleven Problem Sets
MIT OpenCourseWare
Harmonic AnalysisBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Fourier-analysis course notes and eleven problem sets.
12 mapped course placements
- Harmonic Analysis — BS Mathematics
- Harmonic Analysis — MS / MPhil Mathematics
- Harmonic Analysis — PhD Mathematics
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — PhD Mathematics
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — PhD Mathematics
- Integral Transforms — BS Mathematics
- Integral Transforms — MS / MPhil Mathematics
- Integral Transforms — PhD Mathematics
Notes & SolutionsUNS-MC-110
Measure Theory by M Usman Hamid & Saima Akram
MathCity / source contributor
Measure TheoryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Course Notes · Measure Theory · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
6 mapped course placements
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — Legacy MSc Mathematics Resources
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MC-109
Measure Theory Handwritten Notes by Asim Marwat
MathCity / source contributor
Measure TheoryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Handwritten Notes · Measure Theory · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
6 mapped course placements
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — Legacy MSc Mathematics Resources
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MC-108
Measure Theory Notes by Anwar Khan
MathCity / source contributor
Measure TheoryBS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
Course Notes · Measure Theory · BS Mathematics; MS / MPhil Mathematics; Legacy MSc Mathematics Resources
6 mapped course placements
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — Legacy MSc Mathematics Resources
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — Legacy MSc Mathematics Resources
Notes & SolutionsUNS-MIT-MEAS-18125
MIT 18.125 Measure and Integration — Notes & Problem Sets
MIT OpenCourseWare
Measure TheoryBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Graduate measure/integration notes and assignments.
6 mapped course placements
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — PhD Mathematics
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — PhD Mathematics
