Mathematics

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  • Mathematics

    Mathematics is the study and application of arithmetic, algebra, geometry, and analysis. Mathematical methods and tools, such as MATLAB® and Mathematica®, are used to model, analyze, and solve diverse problems in a range of fields, including biology, computer science, engineering, finance, medicine, physics, and the social sciences. Important subareas of mathematics include combinatorics, differential equations, game theory, operations research, probability, and set theory and logic.

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Monomial Algebras, Second Edition

Monomial Algebras, Second Edition

Rafael Villarreal

March 26, 2015

Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs,...

An Illustrated Introduction to Topology and Homotopy

An Illustrated Introduction to Topology and Homotopy

Sasho Kalajdzievski

March 24, 2015

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that...

Handbook of Enumerative Combinatorics

Handbook of Enumerative Combinatorics

Miklos Bona

March 24, 2015

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today’s most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens

March 24, 2015

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...

Pocket Book of Integrals and Mathematical Formulas, 5th Edition

Pocket Book of Integrals and Mathematical Formulas, 5th Edition

Ronald J. Tallarida

March 20, 2015

Pocket Book of Integrals and Mathematical Formulas, 5th Edition covers topics ranging from precalculus to vector analysis and from Fourier series to statistics, presenting numerous worked examples to demonstrate the application of the formulas and methods. This popular pocket book is an essential...

Electric Field Analysis

Electric Field Analysis

Sivaji Chakravorti

March 16, 2015

Electric Field Analysis is both a student-friendly textbook and a valuable tool for engineers and physicists engaged in the design work of high-voltage insulation systems. The text begins by introducing the physical and mathematical fundamentals of electric fields, presenting problems from power...

Green’s Functions with Applications, Second Edition

Green’s Functions with Applications, Second Edition

Dean G. Duffy

March 10, 2015

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but...

Galois Theory, Fourth Edition

Galois Theory, Fourth Edition

Ian Nicholas Stewart

March 06, 2015

Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students. New to the Fourth Edition...

Application of Fuzzy Logic to Social Choice Theory

Application of Fuzzy Logic to Social Choice Theory

John N. Mordeson, Davender S. Malik, Terry D. Clark

March 03, 2015

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, Application of Fuzzy Logic to Social Choice Theory provides a comprehensive study of fuzzy social choice...

Tubular String Characterization in High Temperature High Pressure Oil and Gas Wells

Tubular String Characterization in High Temperature High Pressure Oil and Gas Wells

Jiuping Xu, Zezhong Wu

March 03, 2015

High temperature, high oil pressure, oil and gas well completion testing have always been a technical challenge and basic theoretical research is one of the key factors needed to ensure a successful completion test. The completion test basic theory includes: a stress analysis of the completion...

Introduction to Theory of Control in Organizations

Introduction to Theory of Control in Organizations

Vladimir N. Burkov, Mikhail Goubko, Nikolay Korgin, Dmitry Novikov

March 02, 2015

Introduction to Theory of Control in Organizations explains how methodologies from systems analysis and control theory, including game and graph theory, can be applied to improve organizational management. The theory presented extends the traditional approach to management science by introducing...

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