| ANALYSIS | ||
| 1 | Gilbert & Israel | Computer Supported Calculus |
| 2 | Whittaker & Watson | A Course in Analysis |
| 3 | Gaughan | Introduction to Analysis |
| 4 | Kirkwood | Introduction to Analysis |
| 5 | Edwards | Advanced Calculus |
| 6 | Demidovich | Problems in Mathematical Analysis |
| 7 | Dudley | Real Analysis & Probability |
| 8 | Narayan | Mathematical Analysis |
| 9 | Apostol | Mathematical Analysis |
| 10 | Gordon | Real Analysis |
| 11 | Hardy | A Course of Pure Mathematics |
| 12 | Rudin | Principles of Mathematical Analysis |
| 13 | Rudin | Real & Complex Analysis |
| 14 | Widom | Lectures on Measure & Integration |
| 15 | Halmos | Measure Theory |
| 16 | Kolmogorov | Introduction to Real Analysis |
| 17 | Williamson | Lebesgue Integration |
| 18 | Friedlander & Joshi | Theory of Distributions |
| 19 | Zemanian | Distribution Theory & Transform Analysis |
| 20 | Gelfand | Generalized Functions |
| 21 | Wunsch | Functions of Complex Variables |
| 22 | Philips | Complex Variables with Applications |
| 23 | Ahlfors | Complex Analysis |
| 24 | Kamke | The Theory of Sets |
| 25 | Morgan | Point Set Theory |
| 26 | Kreyszig | Introduction to Functional Analysis |
| 27 | Choudary & Nanda | Functional Analysis with Applications |
| 28 | Soule | Linear Operators in Hilbert Space |
| 29 | Schmeidler | Linear Operators in Hilbert Space |
| 30 | Zeidler | Applied Functional Analysis |
| 31 | Lax | Functional Analysis |
| ALGEBRA | ||
| 1 | Leon | Linear Algebra with Applications |
| 2 | Johnson Reiss & Arnold | Linear Algebra with Applications |
| 3 | Nef | Linear Algebra |
| 4 | Lipshutz | Linear Algebra |
| 5 | Axler | Linear Algebra Done Roght |
| 6 | Szabo | Linear Algebra |
| 7 | Halmos | Finite Dimensional Vector Spaces |
| 8 | Baumslag & Chandler | Group Theory |
| 9 | Carmichael | Introduction to Theory of Groups of Finite Order |
| 10 | Joshi | Group Representations for Physicists |
| 11 | Jacobson | Lectures in Abstract Algebra |
| 12 | Lipkin | Lie Groups for Pedestrians |
| 13 | Strang | Linear Algebra |
| 14 | Northcott | Lectures on Rings Modules & Multiplicities |
| 15 | Golub | Matrix Computations |
| TOPOLOGY | ||
| 1 | Mendelson | Introduction to Topology |
| 2 | Dugundgee | Topology |
| 3 | Yahya et.al | Topology |
| 4 | Lipshutz | Topology |
| 5 | Munkres | Topology |
| DIFFERENTIAL GEOMETRY | ||
| 1 | Prakash | Differential Geometry |
| 2 | DoCarmo | Differential Geometry |
| 3 | Eisenhart | A Treatise on the Differential Geometry of Curves & Surfaces |
| 4 | Shouten | Tensor Analysis on for Physicists |
| 5 | Synge & Schild | Tensor Calculus |
| 6 | Auslander & MacKenzie | Introduction to Differentiable Manifolds |
| ORDINARY DIFFERENTIAL EQUATIONS | ||
| 1 | Sanchez | Ordinary Differential Equations & Stability Theory |
| 2 | Forsyth | A Treatise on Ordinary Differential Equations |
| 3 | Burkill | Theory of Ordinary Differential Equations |
| 4 | Coddington & Levinson | The Theory of Ordinary Differential Equations |
| 5 | Raisinghania | Ordinary Differential Equations |
| 6 | Perko | Differential Equations & Dynamical Systems |
| 7 | Arnold | Ordinary Differential Equations |
| 8 | Arnold | Geometric Methods in the Theory of Ordinary Differential Equations |
| PARTIAL DIFFERENTIAL EQUATIONS | ||
| 1 | Shu | Boundary Value Problems of Partial Differential Equations |
| 2 | Bick | Elementary Partial Differential Equations |
| 3 | Sneddon | Elementary Partial Differential Equations |
| 4 | Altman | A Unified Theory of Non Linear Operator Equations & Applications |
| 5 | Taylor | Partial Differential Equations |
| 6 | Evans | Partial Differential Equations |
| 7 | Evans et.al | Analytic Methods in Partial Differential Equations |
| 8 | Friedman | Partial Differential Equations |
| 9 | Gustafson | Introduction to Partial Differential Equations |
| 10 | Pazy | Semi Groups of Linear Operators |
| 11 | Bluman | Symmetry & Differential Equations |
| 12 | Guenther & Lee | Partial Differential Equations of Mathematical Physics |
| 13 | Folland | Partial Differential Equations |
| STOCHASTIC DIFFERENTIAL EQUATIONS | ||
| 1 | Gard | Stochastic Differential Equations |
| 2 | Oksendal et.al | Stochastic Differential Equations |
| 3 | Protter | Stochastic Integration & Differential Equations |
| MATHEMATICAL PHYSICS | ||
| 1 | Lin & Segal | Mathematics applied to Deterministic Problems in Natural Sciences |
| 2 | Hidebrand | Methods of Applied Mathematics |
| 3 | Courant & Hilbert | Methods of Applied Physics |
| 4 | Courant | Methods of Applied Physics |
| 5 | Animinov et.al | Applied Integral Transforms |
| 6 | Keener | Principles of Applied Mathematics |
| NUMERICAL ANALYSIS | ||
| 1 | Thomas | Numerical Partial Differential Equations |
| 2 | Ortega & Poole | Numerical Methods for Differential Equations |
| 3 | LeVeque | Numerical Methods for Conservation Laws |
| 4 | Borse | Numerical Methods with MATLAB |
| 5 | Trefethen | Numerical Linear Algebra |
| 6 | Heath | Scientific Computation |
| 7 | Issacson & Keller | Analysis of Numerical Methods |
| 8 | Henrici | Numerical Analysis |
| ASYMPTOTIC METHODS | ||
| 1 | Kevorkian & Cole | Multiple Scales & Singualr Perturbation Methods |
| 2 | Beder & Orszag | Advanced Mathematical Methods for Scientists & Engineers |
| 3 | Erdelyi | Asymptotic Expansions |
| 4 | Copson | Asymptotic Expansions |
| 5 | Holmes | Perturbation Methods |
| 6 | Murdock | Perturbation Theory & Methods |
| STATISTICS & PROBABILITY | ||
| 1 | Hartigan | Bayes Theory |
| 2 | Pole & West | Appleid Bayesian Forecasting |
| 3 | Mosteller & Tukey | Data Analysis & Regression |
| 4 | Lipshutz | Probability |
| 5 | Ross | A First Course in Probability |
| 6 | Ross | Probability Models |
| 7 | Bartlett | Stocahstic Processes |
| 8 | Karlin & Taylor | A First Course in Stochastic Processes |
| 9 | Hoel | Introduction to Stochastic Processes |
| 10 | Gupta et.al | Statistical Decision Theory |
| 11 | Box & Tiao | Bayesian Inference in Statistical Analysis |
| 12 | Graybill | Introduction to the Theory of Statistics |
| 13 | Daniel | Biostatistics |
| 14 | Press | Bayesian Statistics |