Category Archives: Calculus

Calculus: Theory and Applications

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors … Continue reading

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Transforms and Applications Handbook, Third Edition (Electrical Engineering Handbook)

Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of … Continue reading

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Nonlinear Functional Analysis

This graduate-level text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. Topics include degree mappings for infinite dimensional spaces, the inverse function theory, … Continue reading

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Multivariable and Vector Calculus, an Introduction

Computing, Math, & Engineering

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Complex Surveys: A Guide to Analysis Using R (Wiley Series in Survey Methodology)

A complete guide to carrying out complex survey analysis using R As survey analysis continues to serve as a core component of sociological research, researchers are increasingly relying upon data gathered from complex surveys to carry out traditional analyses. Complex … Continue reading

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Introduction to Nonlinear Differential and Integral Equations

topics covered include differential equations of the first order, the Riccati equation and existence theorems, second order equations, elliptic integrals and functions, the technique of continuous analysical continuation, the phenomena of the phase plane, nonlinear mechanics, nonlinear integral equations, problems … Continue reading

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Introduction to Nonlinear and Global Optimization (Springer Optimization and Its Applications)

Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions. Within this subject, Global Optimization aims at finding global optima for difficult problems in which many local … Continue reading

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An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics)

This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of … Continue reading

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Foundations of Modern Analysis

Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces—all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any … Continue reading

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Distributions: Theory and Applications (Cornerstones)

This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, … Continue reading

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