Technical Books

This note explores the nature of rocks and rock masses as construction, foundation, or engineering materials. Topics covered include Physical properties of intact rocks, stresses and strains, thermal, hydraulic and mechanical properties of rocks and rock masses, applications of theory of elasticity in rock mechanics, viscoelasticity, rock discontinuities, hemispherical projection methods, in situ stresses and stress measurements, rock slope engineering and underground excavations in rock.

This note covers the following topics: Fundamentals Of Engineering Mechanics, Equilibrium,friction, Centroid and Moment of Inertia, Simple Machines and Dynamics.

This lecture note helps students to develop the ability to work comfortably with basic engineering mechanics concepts Required for analyzing static structures. Topics covered includes: friction And Basics Structural Analysis, Centroid And Centre Of Gravity And Virtual Work And Energy Method, Particle Dynamics And Introduction To Kinetics, Mechanical Vibrations.

The contents of this pdf include: Vector Analysis, Mechanics of a Particle, Dynamics of a Rigid Bodies, Gravitation and Properties of matter.

The topics explained in this pdf include:: Kinematics, Newtonian Mechanics for single particles, Work and Energy, System of many particles, Lagrangian mechanics - first approach, Lagrangian mechanics from Hamilton�s principle, Elements of Hamiltonian mechanics, Central force motion and two-body problem, Harmonic oscillator, Coupled oscillations, Non-inertial reference frames, Motion of rigid bodies.

The PDF covers the following topics related to Mechanics : Forces, Newton�s laws, Net force, Newton�s second law, Weight, Normal force and friction force, Newton�s third law, Tension force, Spring force, Non-inertial frames of reference, Friction and Drag, Energy, Kinetic energy, Work-energy theorem, Potential energy and conservation of energy in a free fall, Multiple forces, Potential energy and conservation of energy, Potential energy diagrams, Non-conservative forces, Power, Conservative forces, Elastic potential energy, Work-energy theorem with multiple conservative forces, Equilibrium and stability, Law of gravitation, Gravitational force, Gravitational potential energy, Harmonic motion.

This note contains below topics, Mathematical Introduction, Lagrangian Mechanics, Application Motion in Central Fields, Hamiltonian Mechanics, Application Oscillations of Mechanical Systems, Application Relativistic Mechanics, Geometry of Classical Mechanics, Application Dynamics of Rigid Bodies, Lagrangian and Hamiltonian Mechanics of Continuous Systems, Application Elasticity of Solids, Symmetries and Conservation Laws, Application Fluid Dynamics, Application Electrodynamics, Introduction to Linear Algebra.

This monograph is a compendium of Lagrangian and Hamiltonian geometries and their use in analytical mechanics. It treats the geometry of nonconservative mechanical systems, the foundations of Finslerian, Lagrangian, and Hamiltonian mechanics, and evolution equations when external forces depend on higher order accelerations.

This note covers the following topics: Measuring: Measured Value and Measuring Unit, Signs and Numbers and Their Linkages, Sequences and Series and Their Limits, Functions, Differentiation, Taylor Series, Integration, Complex Numbers, Vectors.

Mathematics is an integral component of all of the scientific disciplines, but for physics, it is a vital and essential skill that anyone who chooses to study this subject must master. Topics covered includes: Functions and Geometry, Complex Numbers, Matrices, Vectors, Limits, Differentiation, Partial Differentiation and Multivariable Differential Calculus, Integration, Multiple Integration, Differential Equations, Series and Expansions, Operators, Mechanics.

This note covers the following topics: Series of Functions, Binomial Theorem, Series Expansion of Functions, Vectors, Complex Functions, Derivatives, Intergrals, and the Delta Function, Determinants, Matrices, Vector Analysis, Vector Differentiation and Integration, Integral Theorems and Potential Theory, Curvilinear Coordinates, Tensor Analysis, Jacobians and Differential Forms, Vectors in Function Spaces, Gram-Schmidt Orthogonalization and Operators, Transformations, Invariants, and Matrix Eignevalue Problems, Hermitian and Normal Matrix Eigenvalue Paroblems, Ordinary Differential Equations, Second-Order Linear ODEs, Green's Functions.

The purpose of this note is to present standard and widely used mathematical methods in Physics, including functions of a complex variable, differential equations, linear algebra and special functions associated with eigenvalue problems of ordinary and partial differential operators.

The intent of this note is to introduce students to many of the mathematical techniques useful in their undergraduate physics education long before they are exposed to more focused topics in physics. Topics covered includes ODEs and SHM, Linear Algebra, Harmonics Fourier Series, Function Spaces, Complex Representations, Transform Techniques, Vector Analysis and EM Waves, Oscillations in Higher Dimensions.

The PDF covers the following topics related to Mathematical Physics : Introduction to statistical mechanics, Canonical Ensembles for the Lattice Gas, Configurations and ensembles, The equivalence principle, Generalizing Ensemble Analysis to Harder Cases, Concavity and the Legendre transform, Basic concavity results, Concave properties of the Legendre transform, Basic setup for statistical mechanics, Gibbs equilibrium measure, Introduction to the Ising model, Entropy, energy, and free energy, Large deviation theory, Free energy, Basic Properties, Convexity of the pressure and its implications, Large deviation principle for van Hove sequences, 1-D Ising model, Transfer matrix method, Markov chains, 7 2-D Ising model, Ihara graph zeta function, Gibbs states in the infinite volume limit, Conditional expectation, Symmetry and symmetry breaking, Phase transitions, Random field models, Proof of symmetry-breaking of continuous symmetries, The spin-wave perspective, Infrared bound, Reflection positivity.

This note covers Laws of nature and mathematical beauty, Gaussian Integrals and related functions, Basic gaussian integrals, Stirling formula error functions, Real numbers, Complex numbers, Scalars, Vectors, Tensors and spinor, Fourier transformation, Curvilinear coordinates, Partial differential equations, Solving partial differential equation by separation of variables, Solving laplace equation in spherical polar coordinates, Spherical harmonics and legendre functions, Bessel function, Spherical bessel function and matrices.