Technical Books

This is an amazing book related to differential and integral calculus.It provides crystal clear explanations, is very consistent and goes gently deeply into each topic.

The present small volume is intended to form a sound introduction to a study of the Differential Calculus suitable for the beginner.

This book emphasis on systematic presentation and explanation of basic abstract concepts of differential Calculus. Topics covered includes, Limits, Continuity and Differentiation of Real Functions of One Real Variable, Differentiation and Sketching Graphs Using Analysis.

This book is intended for beginners. Topics covered includes, Fundamental Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature, Envelopes, Curve Tracing, Properties of Special Curves, Successive Differentiation, Rolles Theorem and Taylors Theorem, Maxima and Minima, Indeterminate Forms.

This book explain the solution of the following two problems, obtaining of Keplers laws from Newtons laws and obtaining the fourth Newtons law as a corollary of Keplers laws. This small book is devoted to the scholars, who are interested in physics and mathematics.

This note covers the following topics, Limits and Continuity, Differentiation Rules, Applications of Differentiation, Curve Sketching, Mean Value Theorem, Antiderivatives and Differential Equations, Parametric Equations and Polar Coordinates, True Or False and Multiple Choice Problems.

This note covers functions, Differentiation, Exponentials and logarithms, integration, Differential equation.

The contents include, The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.

This lecture note covers the following topics: Analysis In Banach Spaces, The Method of Lyapunov Schmidt, Degree Theory, Global Solution Theorems, Existence and Uniqueness Theorems, Linear Ordinary Differential Equations, Periodic Solutions, Stability Theory, Invariant Sets, Hopf Bifurcation and Sturm-Liouville Boundary Value Problems.

We are working on the detailed description of this book, we will update this section soon.

This lecture note covers the following topics: fundamental solutions for elliptic, hyperbolic and parabolic differential operators, method of characteristics, review of Lebesgue integration, distributions, fourier transform, homogeneous distributions, asymptotic methods.

The main goal of this course note is to give the students a solid foundation in the theory of elliptic and parabolic linear partial differential equations. It is the second semester of a two-semester, graduate-level sequence on Differential Analysis.

This note contains the following subcategories, Continuous Functions , Measures and algebras , Measureability of Functions, Integration, Hilbert Space, Test Functions, Tempered Distributions , Convolution and Density, Fourier Inversion, Sobolev Embedding , Differential Operators , Cone Support and Wavefront Set, Homogeneous Distributions and Spectral Theorem.

This PDF book covers the following topics related to Differential and Integral Analysis : Differentiation, The Mean Value Theorem, The Exponential Function, Inverse Functions, Higher Order Derivatives, Definition of the Riemann Integral, Properties of the Riemann Integral, The Fundamental Theorem of Calculus, Sequences and Series of Functions, Power Series.

This note introduces both, state some of their basic properties, and explain connections to ominimal structures. Also describe a common algebraic framework for these examples, the category of Hfields. This unified setting leads to a better understanding of Hardy fields and transseries from an algebraic and modeltheoretic perspective.