SOLID MECHANICS AND MATH BOOKS

A partial(!) list of titles in my bookshelf. In each category, the books are arranged in non-decreasing order of sophistication.

Algebra

Algebra, 3rd. ed., Serge Lang, 2002, Springer

Analysis, Real

Introduction to Analysis, 1st. ed., M. Rosenlicht, 1985, Dover Publications
The Principles of Mathematical Analysis, 3rd. ed., W. Rudin, 1976, McGraw-Hill
Analysis I (Texts and Readings in Mathematics) , 3rd. ed., T. Tao, 2016, HBA
Analysis II (Texts and Readings in Mathematics) , 3rd. ed., T. Tao, 2016, HBA
Inequalities, 2nd ed., G. H. Hardy J. E. Littlewood & G. Polya, 1988, Cambridge University Press

Analysis, Complex

Real and Complex Analysis, 3rd. ed., W. Rudin, 2002, McGraw-Hill Higher-ed
Complex Variables, M. Ablowitz & A. Fokas, 2nd ed, 2003, Cambridge University Press

Contact Mechanics and Tribology

The Friction and Lubrication of Solids, F.P. Bowden and D. Tabor (1950 ed.), 1986, Oxford University Press
Adhesion of Cells, Viruses and Nanoparticles, K. Kendall, M. Kendall, F. Rehnfeldt, 2011, Springer
Contact Mechanics, K.L. Johnson, 1986, Cambridge University Press
Contact Problems : The Legacy of L.A. Galin, L.A. Galin, ed. G.M.L. Gladwell, 2007, Springer
Contact Problems in the Classical Theory of Elasticity, G.M.L. Gladwell, 1980, Sijthhoff and Noordhoff

Continuum Mechanics

Introduction to the Mechanics of a Continuous Medium, L.E. Malvern, 1969, Prentice-Hall, Inc.
An Introduction to Continuum Mechanics, Morton Gurtin, 2003, Elsevier
Continuum Mechanics: Volume I: Foundations and Applications of Mechanics, C.S. Jog, 2015, Cambridge University Press
The Mechanics and Thermodynamics of Continua, M. Gurtin, E. Fried and L. Anand, 2010, Cambridge University Press
The Non-linear Field Theories of Mechanics, C. Truesdell, W. Noll, S. Antman, 2004, Springer
The Geometrical Language of Continuum Mechanics, M. Epstein, 2014, Cambridge University Press

Differential Geometry

First Steps in Differential Geometry: Riemannian, Contact, Symplectic, A. McInerney, 2013, Springer
Elementary Differential Geometry, 2nd ed., Barrett O'Neill, Academic Press
Curves and Surfaces, 2nd ed., S. Montiel and A. Ros, 2009, AMS
Geometry, Topology and Physics, M. Nakahara, 1990, Institute of Physics Publishing
Modern Geometry-Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields, 1st ed., B.A. Dubrovin, A.T. Fomenko et al., 2010, Springer International
Modern Geometry-Methods and Applications: Part II: The Geometry And Topology Of Manifolds, 1st ed.,
B.A. Dubrovin, A.T. Fomenko et al., 2010, Springer International

Dynamical Systems and Stability

Nonlinear Dynamics And Chaos, S. H. Strogatz, 2001, Westview Press
Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability D. Bigoni, 2012, Cambridge University Press

Elasticity, Anisotropic

Introduction to Elasticity Theory for Crystal Defects, 1st ed., R.W. Balluffi, Cambridge University Press

Elasticity, Nonlinear

Elasticity and Geometry, 1st Edition, B. Audoly and Y. Pomeau, 2010, Oxford University Press
Nonlinear Problems of Elasticity, S. Antman, 2nd ed., 2004, Springer

Elasticity Theory

Theory of Elasticity: Volume 7 (Theoretical Physics), 3rd ed., L. D. Landau, E.M. Lifshitz et al., 2008, Elsevier
Complex Variable Methods in Elasticity, A.H. England, 1971, Dover Publications
Some Basic Problems in the Mathematical Theory of Elasticity, 1967, N.I. Muskhelishvili, P. Noordhoff
Theoretical Elasticity, A.E. Green and W. Zerna, 1968, Dover Publications
Theory of Thermal Stresses, B. A. Boley, J. H. Weiner, 2005, Dover Publications

Finite Element Analysis

Concepts and Applications of Finite Element Analysis , 4th ed., R. Cook, D. Malkus, M. Plesha, & R. Witt, 2001, Wiley
Finite Element Method: Its Basic And Fundamentals, 6th ed., O.C. Zienkiewicz, R. L. Taylor & J.Z Zhu, 2007, Elsevier India
Finite Element Procedures, Klaus-Jurgen Bathe, 2009, PHI Learning
Finite Elements and Approximation, 2006, O. C. Zienkiewicz, K. Morgan, 2006, Dover Publications
The Mathematical Theory of Finite Element Methods, 3rd ed., S. Brenner & R. Scott, 2008, Springer

Functional Analysis

Introductory Functional Analysis with Applications, E. Kreyszig, 1989, Wiley
Calculus of Variations, I. M. Gelfand & S. V. Fomin, 2000, Dover Publications
Elements of the Theory of Functions and Functional Analysis, A. N. Kolmogorov & S. V. Fomin, 1999 (1967 ed.), Dover

Group Theory

Naive Lie Theory, J. Stillwell, 2008, Springer
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, 2nd. ed, Brian Hall, 2015, Springer

Integral Equations

Integral Equations, F.G. Tricomi, 1985 (based on 1957 ed.), Dover Publications
Boundary Value Problems, F.D. Gakhov, 1990 (based on 1967 ed.), Dover Publications
Singular Integral Equations, N.I. Muskhelishvili, 1992 (based on 1946 ed.), Dover Publications
Singular Integral Equations, R. Estrada & R.P. Kanwal, 2000, Birkhauser

Linear Algebra

Linear Algebra, 2nd ed., K. Hoffman, R. Kunze, 2009, Prentice Hall India
Finite Dimensional Vector Spaces, P. Halmos, 2011, Springer (SIE)
Matrix Computations, 3rd ed., G. H. Golub, C. F. van Loan, 1996, Johns Hopkins University Press
Numerical Linear Algebra, L. N. Trefethen and D. Bau III, 1997, Society for Industrial and Applied Mathematics

Materials Science

Mechanical Metallurgy, George Dieter, (Third Edition, 1986), Mc Graw Hill India
Crystals, Defects and Microstructures, Rob Phillips, 2001, Cambridge University Press

Micromechanics

Cellular Solids: Structure and Properties, 2nd ed., by L.J. Gibson and M.F. Ashby, Cambridge University Press

PDE

Partial Differential Equations of Mathematical Physics, S.L. Sobolev, 1989 (based on 1964 ed.), Dover Publications
Partial Differential Equations, 1st ed., L. C. Evans, 1998, AMS

Plasticity Theory

Theory of Plasticity, J. Chakrabarty, 2006 (3rd ed.), Butterworth-Heinemann
The Mathematical Theory of Plasticity, R. Hill, 1950, Oxford Engineering Science Series
Plasticity Theory, J. Lubliner, 2008 ed., Dover Publications
Computational Inelasticity, J.C. Simo, T.J.R. Hughes, 2000, Springer; Corrected edition
Plasticity: A Treatise ..., S. Nemat-Nasser, 2004, Cambridge University Press

Solid Mechanics (General) and Structural Analysis

Classical and Computational Solid Mechanics, Y. C. Fung, Pin Tong, 2001, World Scientific
Theory of Plates and Shells, S. Timoshenko & S.W-Krieger, 1959 (2nd ed.), McGrawHill

Tensor Algebra and Calculus

Tensor Calculus, J. L. Synge & A. Schild, 1978, Dover Publications
Tensor Analysis on Manifolds, R. L. Bishop & S. I. Goldberg, 1980, Dover Publications

Topology (General) and Set Theory

Introduction to Topology, B. Mendelson, 3rd ed., 1990, Dover Publications
Naive Set Theory, P. Halmos, 2011, Martino Fine Books
Topology, 2nd. ed., J. Munkres, 2000, Prentice-Hall, Inc.

Viscoelasticity

Theory of Viscoelasticity, R.M. Christenson, 1971, Academic Press
Boundary Value Problems in Linear Viscoelasticity, J.M. Golden and G.A.C Graham, 1988, Springer