Calculus

Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders.

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.

Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values.

Introduction to Ordinary Differential Equations, Second Edition provides an introduction to differential equations.

Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations.

A solutions manual to accompany Fundamentals of Calculus Fundamentals of Calculus illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus.

Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972.

Pure and Applied Mathematics, Volume 109: Operational Calculus, Second Edition.

The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1.

This text, designed for a second year calculus course, can follow any standard first year course in one-variable calculus.

Notes and Reports in Mathematics in Science and Engineering, Volume 5: Nonlinear Problems in Abstract Cones presents the investigation of nonlinear problems in abstract cones.

Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

What mathematical modeling uncovers about life in the cityX and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life.

Self-Validating Numerics for Function Space Problems describes the development of computational methods for solving function space problems, including differential, integral, and function equations.

For students who need to polish their calculus skills for class or for a critical exam, this no-nonsense practical guide provides concise summaries, clear model examples, and plenty of practice, practice, practice.

Malliavin Calculus in Finance: Theory and Practice aims to introduce the study of stochastic volatility (SV) models via Malliavin Calculus.

Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications.

Functional Analysis examines trends in functional analysis as a mathematical discipline and the ever-increasing role played by its techniques in applications.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

A short introduction perfect for any 16- to 18-year-old, about to begin studies in mathematics.

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering.

Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers.

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint.

It is well-known that modern stochastic calculus has been exhaustively developed under usual conditions.

Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory.

Numerical Methods for Partial Differential Equations, Second Edition deals with the use of numerical methods to solve partial differential equations.

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.

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.

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.

Linear Integral Equations: Theory and Technique is an 11-chapter text that covers the theoretical and methodological aspects of linear integral equations.

Probability and Mathematical Statistics: Measure and Integral provides information pertinent to the general mathematical notions and notations.

The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface "e;"e;integrals of first kind"e;"e; and "e;"e;integrals of second kind.

Mathematics for Engineers offers a comprehensive treatment of the core mathematical topics required for a modern engineering degree.

This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS).

Analysis, et cetera: Research Papers Published in Honor of Jurgen Moser's 60th Birthday provides a collection of papers dedicated to Jurgen Moser on the occasion of his 60th birthday.

With the aim to better understand nature, mathematical tools are being used nowadays in many different fields.

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.

A classic treatment of multiple integrals in the calculus of variations and nonlinear elliptic systems from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Numerical Solution of Partial Differential Equations-III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior.

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls.

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 most useful tool for reviewing mathematical methods for business and economics classes-now with more contentSchaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills.

Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts.

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1=A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1.

Calculus for Business and Economics: An Example-Based Introduction is designed for first-year university students specializing in business and economics.

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.