Calculus

Ordinary Differential Equations is an outgrowth of courses taught for a number of years at Iowa State University in the mathematics and the electrical engineering departments.

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and Leibniz in which the question of a half-order derivative was posed.

Get ahead in pre-calculus Pre-calculus courses have become increasingly popular with 35 percent of students in the U.

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Partial Differential Equations in Physics: Lectures on Theoretical Physics, Volume VI is a series of lectures in Munich on theoretical aspects of partial differential equations in physics.

Let's face it: most students don't take calculus because they find it intellectually stimulating.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Al preparar estos tomos el equipo de curso ha querido proporcionar el tipo de Matemáticas que resulta útil particularmente para aquellos estudiantes que ya poseen cierto conocimiento de una ciencia o de una tecnología, pero que antes de adentrarse en las materias de su especialidad necesitan profundizar en la captación de los conceptos matemáticos en que se basan las técnicas del Cálculo y del Álgebra.

A comprehensive reference guide for essential mathematical formulas and scientific data for engineers, covering topics from algebra to properties of organic compounds.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976.

Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

The classic book that inspired Alan Turing and helped to lay the foundation for theoretical computer scienceThis book provides a concise introduction to the calculi of lambda-conversion first discovered by Alonzo Church and developed by him in collaboration with his students, S.

Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete in itself.

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented.

This book is a compilation of all basic topics on functions of Several Variables and is primarily meant for undergraduate and post graduate students.

The Gradient Test: Another Likelihood-Based Test presents the latest on the gradient test, a large-sample test that was introduced in statistics literature by George R.

A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science.

A classic treatment of the hypoelliptic calculus on Heisenberg ManifoldsThe classical pseudodifferential calculus is well adapted to detailed study of elliptic operators such as the Laplacian associated to the De Rham complex.

Multivariable Calculus with Linear Algebra and Series presents a modern, but not extreme, treatment of linear algebra, the calculus of several variables, and series.

An Introduction to Real Analysis presents the concepts of real analysis and highlights the problems which necessitate the introduction of these concepts.

Advanced Calculus with Linear Analysis provides information pertinent to the fundamental aspects of advanced calculus from the point of view of linear spaces.

One of the most important subjects for all engineers and scientists is probability and statistics.

In physics, Navier-Stokes equations are the partial differential equations that describe the motion of viscous fluid substances.

Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature.

Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods.

Integral Calculus is a comprehensive theory cum practice book and covers all aspects of the topic.

Este texto está pensado para un curso de introducción al Cálculo de una y varias variables.

Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations.

A Course of Higher Mathematics, Volume V focuses on the theory of integration and elements of functional analysis.

The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations.

A comprehensive guide to tensor analysis in engineering, covering transformations, mathematical foundations, and practical applications.

Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals.

When first published posthumously in 1963, this bookpresented a radically different approach to the teaching of calculus.

A Guide to the Evaluation of IntegralsSpecial Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.

The Gradient Test: Another Likelihood-Based Test presents the latest on the gradient test, a large-sample test that was introduced in statistics literature by George R.

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis.