Technical Books

This book covers the following topics in applied mathematics, Dimensional Analysis, Scaling and Similarity, Calculus of Variations, SturmLiouville Eigenvalue Problems and Stochastic Processes.

This lecture note covers the following topics related to applied mathematics, Dimensional Analysis, Scaling, and Similarity, Calculus of Variations, SturmLiouville Eigenvalue Problems and Stochastic Processes.

This Handbook of Mathematics is designed to contain, in compact form, accurate statements of those facts and formulas of pure mathematics which are most likely to be useful to the worker in applied mathematics. Many topics of an elementary character are presented in a form which permits of immediate utilization even by readers who have had no previous acquaintance with the subject, for example, the practical use of logarithms and logarithmic crosssection paper, and the elementary parts of the modern method of nomography alignment charts, can be learned from this book without the necessity of consulting separate treatises.

This note explains the following topics, Mathematics in Design, Mathematics and Measurements, Statistics and Probability, Differential and Integral Calculus, Trigonometry.

This PDF Lecture covers the following topics related to Applied Mathematics, Number Theory, Prime Number Ratio, Proportion and Logarithms, Interpretatlysis of Data, Commercial Mathematics, Set Theory Unit 6, Relation and Function, Algebra Complex Number, Sequence and Series, Permutations and Combinations, Trigonometry.

This book covers the following topics, The Exponential Function, Exponentials and Logarithms, Exponential Models, Recursion, Recursive Models, Investigating Recursive Models, The Derivative, Discovering the Derivative, The Derivative at a Point, The Derivative of a Function, Computing the Derivative, The Power Rule, Linearity, Products and Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and Using the Derivative, Curve Sketching, Newtons Method, The Chain Rule Revisited, Marginals, Linear Optimization, Simple Examples, More Complicated, Shadow Prices Lagrange Multipliers, The Integral, Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear Equations, Equations and Solutions, Matrix Inverse, Applications of Linear Equations, Partial Derivatives, Partial derivatives, Higher Order Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas, Function Values, Recursion Calculations and Matrix Calculations.

This note covers boundary value problems in one dimension, Fourier series,Fourier analysis, Vibration and diffusion in one dimensional media, The planar laplace equation, Complex analysis, Dynamics of planar media, Partial differential equations in space, Nonlinear systems, Nonlinear ordinary differential equations, The calculus of variations, Nonlinear partial differential equations.

The development ofcomputerized tomographyCT has revolutionized the field of diagnostic radiology and CT is by now one of the standard modalities in medical imaging. This note contains below topics, The Radon transform, Inversion of the Radon transform, Method of filtered back projection, Algebraic reconstruction techniques, Threedimensional reconstruction, Mathematical tools.

This note contains below topics, Cartesian tensors, Fluid dynamics, Calculus Of Variation, Dimensional analysis, The method of multiple scales, Green s functions, B.

This book contains below topics, Introduction informal uses of infinitesimals and infinities in applied mathematics, Numbers The ring of RobinsonColombeau, Functions and distributions generalized smooth functions, Differential equations the PicardLindelof theorem for ODE, Formal deductions corresponding to informal reasonings, Examples of applications.

This book contains below topics, Expander graphs, Examples of Expanders, Applications to computer science, Expanders in number theory, Applications to group theory, Expanders and Geometry, Miscellaneous.

This note covers the following topics, moduli space of flat symplectic surface bundles, Cohomology of the Classifying Spaces of Projective Unitary Groups, covering type of a space, A Maytype spectral sequence for higher topological Hochschild homology, topological Hochschild homology of the K 1 local sphere, QuasiElliptic Cohomology and its Power Operations, Local and global coincidence homology classes, Tangent categories of algebras over operads, Automorphisms of the little disks operad with ptorsion coefficients.

This note explains the following topics, Building blocks and homeomorphy, Homotopy, Simplicial Complexes, CWSpaces, Fundamental Group, Coverings, Simplicial Homology and Singular Homology.

This note covers the following topics, Important examples of topological spaces, Constructions, Homotopy and homotopy equivalence, CW complexes and homotopy, Fundamental group, Covering spaces, Higher homotopy groups, Fiber bundles, Suspension Theorem and Whitehead product, Homotopy groups of CW complexes, Homology groups, Homology groups of CW complexes, Homology with coefficients and cohomology groups, Cap product and the Poincare duality, Elementary obstruction theory.

The contents of this book include, Topological spaces, General topology, some delicate bits, Topological manifolds and manifolds, Categories, functors and natural transformations, Covering spaces and manifolds, Homotopy equivalent topological spaces, Differential topology, Basics of group theory, The basic Seifertvan Kampen Theorem, Presentations of groups and amalgamated products, The general Seifertvan Kampen Theorem, Cones, suspensions, cylinders, Limits, etc.