Technical Books

This book contains below topics, Cocartesian fibrations and model categories of marked simplicial sets, Functor categories, Join and slice, Limits and colimits, Assembling Sslice categories from ordinary slice categories, Types of Sfibrations, Relative adjunctions, Parametrized colimits, Kan extensions, Yoneda lemma, Bousfield Kan formula, fibrant replacement.

As categorical dimension increases, constructions such as cylinders, cones, and suspensions are no longer functorial in the old sense. These notes extend higher categories to oriented and antioriented categories. Compositions there commute only up to a coherent interchange law.

In this book, much emphasis is put on explanations of concepts and solutions to examples. Topics covered includes, Sets, Real Numbers and Inequalities, Functions and Graphs, Limits, Differentiation, Applications of Differentiation, Integration, Trigonometric Functions, Exponential and Logarithmic Functions.

This book covers the following topics, Analytic Geometry, Instantaneous Rate Of Change, The Derivative, Rules For Finding Derivatives, Transcendental Functions, Curve Sketching, Applications of the Derivative, Integration, Techniques of Integration, Applications of Integration, Sequences and Series.

This note covers following topics of Integral and Differential Calculus, Differential Calculus, rates of change, speed, slope of a graph, minimum and maximum of functions, Derivatives measure instantaneous changes, Integral Calculus, Integrals measure the accumulation of some quantity, the total distance an object has travelled, area under a curve, volume of a region.

This note explains following topics, Ordinary Differential Equations, FirstOrder Differential Equations, Second Order Differential Equations, Third and HigherOrder Linear ODEs, Sets of Linear, FirstOrder, ConstantCoefficient ODEs,PowerSeries Solution, Vector Analysis, Complex Analysis, Complex Analysis, Complex Functions.

This note covers following topics, Continuity and Limits, Continuous Function, Derivatives, Derivative as a function, Differentiation rules, Derivatives of elementary functions, Trigonometric functions, Implicit differentiation, Inverse Functions, Logarithmic functions and differentiation, Monotonicity, Area between two curves.

This book explains the following topics, Derivatives, Derivatives, slope, velocity, rate of change, Limits, continuity, Trigonometric limits, Derivatives of products, quotients, sine, cosine, Chain rule, Higher derivatives, Implicit differentiation, inverses, Exponential and log, Logarithmic differentiation, hyperbolic functions, Applications of Differentiation, Linear and quadratic approximations,Curve sketching, Maxmin problems, Newtons method and other applications, Mean value theorem, Inequalities, Differentials, antiderivatives, Differential equations, separation of variables, Integration, Techniques of Integration.

This note covers Numbers and Functions, Derivatives 1, Limits and Continuous Function, Derivatives 2, Graph Sketching and Max Min Problems, Exponentials and Logarithms, The Integral and Applications of the integral.

This note contains below topics, Forms on Rn, Stokes Theorem, Tensors, Integration, de Rham Cohomology, Top cohomology Poincare duality and degree.

This note contains below topics, Matrices and linear transformations, Spaces of matrices, Some geometric situations, Immersions submersions and connections, Metric spaces.

This note contains below topics, Exterior algebra, Dierential forms and cochains de Rham theorem, Locally compact abelian groups, The kvector Pk of each Pk in exercise of.

This book contains below topics, Analytic Geometry, Distance Between Two Points Circles, Shifts and Dilations, Instantaneous Rate of Change The Derivative, The slope of a function, An example, The Derivative Function, Properties of Functions, Rules for Finding Derivatives, The Power Rule, Linearity of the Derivative, The Product Rule, The Quotient Rule, The Chain Rule, Transcendental Functions, Trigonometric Functions.

This note explains the following topics, Advanced Euclidean Geometry, Discrete Mathematics, Inequalities and constrained extrema, Abstract algebra, Series and Differential Equations, Inferential statistics.

It is one of a small number of texts intended to give you, the reader, a feeling for the theory and applications of contemporary mathematics at an early stage in your mathematical studies. Topics covered includes, Number theory and its application to cryptography, A Hierarchy of Infinities, Dynamical Processes, Chaos and Fractals, Geometry and Topology.