
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-SPECIAL-FUNCTIONS-I
Special Functions-I — Volume I — Complete Solved Notes for BS & MSc Mathematics
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Special Functions / Orthogonal Polynomials / Mathematical PhysicsUniversity / BS Mathematics, MSc Mathematics and legacy BSc/MSc revision
Study Special Functions I with solved BS/MSc notes on Gamma-Beta, hypergeometric, Bessel, Legendre, orthogonal polynomials, Airy functions and applications.
5 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Special Functions / Mathematical Analysis / Mathematical Physics
- MSc Mathematics — Special Functions / Classical Special Functions revision and course discovery
- Legacy BSc/MSc Mathematics — Gamma/Beta, hypergeometric, Bessel, Legendre and orthogonal-polynomial revision
- Mathematics Library — separate owner-resource record
- Related from ODE, PDE, Complex Analysis, Real Analysis, Numerical Analysis, Linear Algebra and Mathematical Physics

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-VT-COMPLETE-BOOK
Vector and Tensor Analysis — Complete Course Book, Solved Examples & Exercises
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Vector and Tensor AnalysisUniversity / Undergraduate and revision
18-chapter Vector and Tensor Analysis resource progressing from vector algebra, fields, integral theorems and curvilinear coordinates to Cartesian tensors, metrics, Christoffel symbols, curvature, applications and potential theory.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis
- ADP / Associate Degree Mathematics — where offered or listed as an elective
- Legacy BSc Mathematics — Books, Notes & Solutions → Vector Analysis / Vector & Tensor Analysis
- MSc Mathematics / legacy MSc revision — contextual discovery
- Mathematics Library — separate owner-resource record
- Vector Analysis / Vector Calculus subject discovery
- Tensor Analysis subject discovery
- Related from Multivariable Calculus, Differential Geometry, Mechanics, Mathematical Physics and PDE

Notes & SolutionsTMH-VT-V2-SOLUTIONS
Vector & Tensor Analysis — Volume II Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Vector and Tensor Analysis SolutionsUniversity / Undergraduate and revision
Dedicated Volume II companion with 975 step-by-step solutions across 18 chapters and 96 exercises, from vector algebra and integral theorems to tensor transformations, metrics, Christoffel symbols and curvature.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Vector & Tensor Analysis / Tensor Analysis → Volume II Solutions
- ADP / Associate Degree Mathematics — contextual placement where the subject is offered
- Legacy BSc Mathematics — Vector Analysis / Vector & Tensor Analysis → Solutions
- MSc Mathematics / legacy MSc revision — contextual problem practice
- Mathematics Library — separate owner-resource record labelled Solutions
- Vector and Tensor Analysis subject hub — Volume II child card
- Existing course-book page — Open Volume II Solutions related action
- Related from Calculus III, Differential Geometry, Mechanics, Mathematical Physics and PDE
BooksLIB-0825
An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics — With Applications to Problems in Mathematical Physics
Byerly, William Elwood, 1849-1935
Calculus & AnalysisADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.
BooksLIB-0010
A Heat Transfer Textbook
John H. Lienhard V; John H. Lienhard IV
Mathematical Physics & MechanicsBS / MS-MPhil
Phlogiston Press / Authors · 6th ed., Version 6.00 (2024) · Free download/print for personal or non-profit instructional use; copyrighted
BooksLIB-0023
Advanced Methods for Practical Applications in Fluid Mechanics
Jones, Steven A.
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
IntechOpen · 2012 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0060
An Intermediate Course in Theoretical Mechanics
Khalid Latif Mir
Mathematical Physics & MechanicsBS / MS-MPhil
Ilmi Kitab Khana · Corrected / updated edition · Commercial copyright
BooksLIB-0068
An Introductory Course in Special Relativity
Khalid Latif Mir
Mathematical Physics & MechanicsBS / MS-MPhil
Ilmi Kitab Khana · Commercial copyright
BooksLIB-0135
Computational Fluid Mechanics
Du, Peng; Ouahsine, Abdellatif; Hu, Haibao; Chen, Xiaopeng
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0136
Computational Heat Transfer and Fluid Mechanics
Talebizadeh Sardari, Pouyan; Ahmadi, Goodarz; Inthavong, Kiao
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0892
Elémens de la philosophie de Neuton: Mis à la portée de tout le monde
Voltaire, 1694-1778; Du Châtelet, Gabrielle Emilie Le Tonnelier de Breteuil, marquise, 1706-1749 [Contributor]
Mathematical Physics & MechanicsADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.
BooksLIB-0218
Fluid Mechanics of Plankton
Yamazaki, Hidekatsu; Strickler, J. Rudi
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0948
Histoires de spectres
Anantharaman, Nalini
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
2023 · See official DOAB record
BooksLIB-0277
Introduction to fluid mechanics. Originalveröffentl. im Verl. Vieweg, Braunschweig, 2001
Oertel, Herbert
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
KIT Scientific Publishing · 2005 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0914
Invariant Differential Operators
Dobrev, Vladimir K.
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
2017 · See official DOAB record
BooksLIB-0330
Mathematical Modeling and Simulation in Mechanics and Dynamic Systems
Scutaru, Maria Luminița; Pruncu, Catalin I.
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0347
Mathematical Physics II
De Micheli, Enrico
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0348
Mathematical Problems in Rock Mechanics and Rock Engineering
Wang, Shaofeng; Huang, Linqi; Cai, Xin; Song, Zhengyang
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0361
Mathematics of Quantization and Quantum Fields
Dereziński, Jan; Gérard, Christian
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
Cambridge University Press · 2013 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0366
Mechanics
Q. K. Ghori
Mathematical Physics & MechanicsBS
West Pakistan Publishing Company · Commercial copyright
BooksLIB-0388
Modelling the Human Cardiac Fluid Mechanics. 4th ed
Oertel, HerbertKrittian, Sebastian
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
KIT Scientific Publishing · 2012 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0393
Modern Problems of Mathematical Physics and Their Applications
Juraev, Davron Aslonqulovich; Noeiaghdam, Samad
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0906
Newton's Principia
Newton, Isaac, 1642-1727; Chittenden, N. W. [Contributor]; Motte, Andrew, 1696-1734 [Translator]
Mathematical Physics & MechanicsADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.
BooksLIB-1007
On the Stability of Objective Structures
Steinbach, Martin
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
2021 · See official DOAB record
BooksLIB-0981
Oscillators
Not specified in source metadata
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
2019 · See official DOAB record
BooksLIB-0823
Philosophiae Naturalis Principia Mathematica
Newton, Isaac, 1642-1727
Mathematical Physics & MechanicsADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.
BooksLIB-0480
Physical and Mathematical Fluid Mechanics
Scholle, Markus
Mathematical Physics & MechanicsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0907
Principia mathematica, vol. 1 (of 3)
Whitehead, Alfred North, 1861-1947; Russell, Bertrand, 1872-1970
Mathematical Physics & MechanicsADP / BS / MS-MPhil
Project Gutenberg · Project Gutenberg public-domain/free-ebook access; check local jurisdiction where applicable.