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-LA-COMPLETE-BOOK
Linear Algebra — Complete Course Book, Theorems, Proofs & Solved Problems
Rana Ali Hasan · Mehreen Kanwal
Linear AlgebraUniversity / Undergraduate
19-chapter Linear Algebra resource with matrices, systems, vector spaces, transformations, eigenvalues, orthogonality, spectral theory, canonical forms and computational applications.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- BS Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Legacy BSc Mathematics — Books, Notes & Solutions → Algebra / Linear Algebra
- Mathematics Library — separate owner-resource record
- Algebra subject hub — Linear Algebra child card
- Mathematics for Computing & Other Programs — contextual Linear Algebra discovery
Notes & SolutionsTMH-QR-V1-2026
Quantitative Reasoning — Volume I Complete 2026
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Quantitative ReasoningUniversity / General Education / Computing & Other Programs
Complete 16-unit quantitative reasoning course resource with explanations, worked examples, exercise banks, a master formula sheet and applied practice.
6 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Quantitative Reasoning
- BS Mathematics — Quantitative Reasoning / General Education resources
- Legacy BSc Mathematics — Supplementary undergraduate quantitative resource
- Mathematics Library — separate owner-resource record: QR-V1-2026
- Quantitative Reasoning hub — individual Volume I card
- Mathematics for Computing & Other Programs — contextual Quantitative Reasoning discovery
Notes & SolutionsTMH-DISCRETE
Discrete Mathematics — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Discrete MathematicsUniversity / Undergraduate
Complete 20-chapter course resource covering logic, proofs, sets, relations, counting, graph theory, algorithms, Boolean algebra, automata and advanced discrete methods.
6 mapped course placements
- ADP / ADP Mathematics — Books, Notes & Solutions
- BS Mathematics — Books, Notes & Solutions / Discrete Structures
- Legacy BSc Mathematics — relevant Discrete Mathematics discovery
- MSc Mathematics — foundation and revision support only
- Mathematics for Computing & Other Programs — primary Discrete Mathematics discovery
- Mathematics Library — separate owner-resource record
Notes & SolutionsTMH-NUMBER-THEORY
Number Theory — Complete Course Notes & Book
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Number TheoryUniversity / Undergraduate and advanced bridge
Study Number Theory from divisibility and primes to congruences, quadratic reciprocity, Diophantine equations, continued fractions, algebraic number theory, finite fields and cryptographic applications, with proofs, worked examples and exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- BS Mathematics — Books, Notes & Solutions → Number Theory / Pure Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Number Theory / Higher Arithmetic
- Legacy MSc / revision — foundation discovery where Number Theory is relevant
- Mathematics Library — separate owner-resource record
- University Mathematics / Pure Mathematics subject hub — Number Theory child card
- Mathematics for Computing & Other Programs — contextual discovery from Discrete Mathematics, Cryptography and Finite Fields
- Related from Discrete Mathematics, Abstract Algebra and Cryptography — one canonical Number Theory page
Notes & SolutionsTMH-ODE-COMPLETE-BOOK
Ordinary Differential Equations (ODE) — Complete Course Notes & Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Ordinary Differential Equations (ODE)University / ADP, BS, BSc and MSc revision
Study Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications. 26 visible chapters progress from first-order equations to dynamical systems, Sturm–Liouville theory, numerical methods and asymptotics.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- BS Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Differential Equations
- Legacy MSc Mathematics — Books, Notes & Solutions → Differential Equations / Mathematical Methods
- Mathematics Library — separate owner-resource record
- Mathematics for Computing & Other Programs — contextual ODE discovery where relevant
- Related from Numerical Analysis, PDE, Mathematical Modelling, Calculus and Linear Algebra
Notes & SolutionsTMH-NUMERICAL-ANALYSIS-I
Numerical Analysis-I / Numerical Methods — Complete Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Numerical Analysis / Numerical MethodsUniversity / ADP, BS, BSc, MSc and Computing
Study Numerical Analysis-I / Numerical Methods in a 40-chapter Math Hub course book with 293 worked examples covering errors, roots, linear systems, interpolation, ODEs, PDEs, FEM, optimization and FFT.
7 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Numerical Analysis / Numerical Methods
- ADP / Associate Degree Mathematics — relevant Numerical Methods discovery
- Legacy BSc/MSc Mathematics — Numerical Analysis / Numerical Methods revision
- Mathematics for Computing & Other Programs — contextual numerical-computing discovery
- Mathematics Library — separate owner-resource record
- Numerical Analysis subject hub — one canonical child resource
- Related from Linear Algebra, ODE, PDE, Calculus and Mathematical Computing
Notes & SolutionsTMH-NUMERICAL-ANALYSIS-II
Numerical Analysis-II / Numerical Methods-II — Advanced Numerical Methods & Scientific Computing
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Numerical Analysis-II / Numerical Methods-IIUniversity / BS, MSc, MS/MPhil and scientific computing
Study Numerical Analysis II / Numerical Methods II with 40 detailed chapters on quadrature, ODEs, stability, BVPs, Krylov methods, PDEs, FEM, optimization and scientific computing. View or download the complete Math Hub book.
7 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Numerical Analysis / Numerical Methods
- ADP Mathematics — only where the current programme mapping includes a second or advanced numerical-methods course
- Legacy BSc/MSc Mathematics — Numerical Analysis / Numerical Methods revision
- Mathematics Library — separate owner-resource discovery card
- Numerical Analysis subject hub — one Numerical Analysis-II child card
- Mathematics for Computing & Other Programs — contextual Scientific Computing / Numerical Methods discovery
- Related from Numerical Analysis-I, ODE, PDE, Linear Algebra and Vector & Tensor Analysis
BooksLIB-0147
Computer Algebra in Scientific Computing
Weber, Andreas
AlgebraADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0734
COMPUTATIONAL PHYSICS: A Practical Introduction to Computational Physics and Scientific Computing (using C++) - Second Edition
Konstantinosn N. Anagnostopoulos
Applied MathematicsADP / BS / MS-MPhil
National Technical University of Athens · 2016 · Attribution-ShareAlike
BooksLIB-0509
Random Differential Equations in Scientific Computing
Rupp, Florian; Neckel, Tobias
Differential EquationsADP / BS / MS-MPhil
De Gruyter · 2013 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0159
Cryptography and Security in Computing
Sen, Jaydip
Number Theory & CryptographyADP / BS / MS-MPhil
IntechOpen · 2012 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0026
Advanced Numerical Methods in Applied Sciences
Iavernaro, Felice; Brugnano, Luigi
Numerical Analysis & Scientific ComputingBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0076
Applications of Finite Element Modeling for Mechanical and Mechatronic Systems
Krawczuk, Marek; Palacz, Magdalena
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0083
Applied and Computational Mathematics for Digital Environments
Demidova, Liliya
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0098
Architecture of Advanced Numerical Analysis Systems
Wang, Liang; Zhao, Jianxin
Numerical Analysis & Scientific ComputingBS / MS-MPhil / PhD
Springer Nature · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0102
Atmospheric Flow Fields: Theory, Numerical Methods and Software Tools
Grifoni, Roberta Cocci; Tascini, S.; Latini, G.
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
Bentham Science Publishers · 2012 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0127
Classical Numerical Methods in Scientific Computing
van Kan, Jos; Segal, Guus; Vermolen, Fred
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
TU Delft Open · 2023-07-27 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0138
Computational Mathematics, Algorithms, and Data Processing
Mortari, Daniele; Efendiev, Yalchin; Hanin, Boris
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0140
Computational Mathematics with SageMath
Paul Zimmermann et al.
Numerical Analysis & Scientific ComputingBS / MS-MPhil
SIAM / Authors · 2018 · CC BY-SA 4.0
BooksLIB-0141
Computational Methods and Applications for Numerical Analysis
Wang, Fajie; Lin, Ji
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0208
Finite Element Analysis
Ebrahimi, Farzad
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
IntechOpen · 2012 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0209
Finite Element Method
Păcurar, Răzvan
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
IntechOpen · 2018 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0210
Finite Element Method (FEM) Model and Performance Analysis of Solid Oxide Fuel Cells
Geisler, Helge Ingolf
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
KIT Scientific Publishing · 2019 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0211
Finite Element Method - Simulation, Numerical Analysis and Solution Techniques
Răzvan Păcurar
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
IntechOpen · 1st Edition
BooksLIB-0212
Finite Element Methods and Their Applications
Baccouch, Mahboub
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
IntechOpen · 2021 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0213
Finite Element Methods in Smart Materials and Polymers
Kaynak, Akif; Zolfagharian, Ali; Nahavandi, Saeid
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0214
Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature
Albiez, Jürgen
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
KIT Scientific Publishing · 2019 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0215
Finite Element Simulation of Residual Stresses from Welding and High Frequency Hammer Peening
Gkatzogiannis, Stefanos
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
KIT Scientific Publishing · 2022 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0316
Mathematical and Numerical Analysis of Nonlinear Evolution Equations
Bianca, Carlo
Numerical Analysis & Scientific ComputingADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
