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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Measure and Integral: An Introduction to Real Analysis, Second Edition

Measure and Integral: An Introduction to Real Analysis, Second Edition

Richard L. Wheeden

April 24, 2015

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on...

Graph-Theoretical Matrices in Chemistry

Graph-Theoretical Matrices in Chemistry

Dusanka Janezic, Ante Milicevic, Sonja Nikolic, Nenad Trinajstic

April 22, 2015

Graph-Theoretical Matrices in Chemistry presents a systematic survey of graph-theoretical matrices and highlights their potential uses. This comprehensive volume is an updated, extended version of a former bestseller featuring a series of mathematical chemistry monographs. In this edition, nearly...

Statistics for Finance

Statistics for Finance

Erik Lindström, Henrik Madsen, Jan Nygaard Nielsen

April 16, 2015

Statistics for Finance develops students’ professional skills in statistics with applications in finance. Developed from the authors’ courses at the Technical University of Denmark and Lund University, the text bridges the gap between classical, rigorous treatments of financial mathematics that...

Measure Theory and Fine Properties of Functions, Revised Edition

Measure Theory and Fine Properties of Functions, Revised Edition

Lawrence Craig Evans, Ronald F. Gariepy

April 14, 2015

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions....

Physics Curiosities, Oddities, and Novelties

Physics Curiosities, Oddities, and Novelties

John Kimball

April 10, 2015

An Enlightening Way to Navigate through Mind-Boggling Physics Concepts Physics Curiosities, Oddities, and Novelties highlights unusual aspects of physics and gives a new twist to some fundamental concepts. The book covers both classical and modern physics in an engaging, straightforward style. The...

Immune System Modelling and Simulation

Immune System Modelling and Simulation

Filippo Castiglione, Franco Celada

April 07, 2015

The book describes a computational model of the immune system reaction, C-ImmSim, built along the lines of the computer model known as the Celada-Seiden model (CS-model). The computational counterpart of the CS-model is called IMMSIM which stands for IMMune system SIMulator. IMMSIM was written in...

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics

Kenichi Kanatani

April 06, 2015

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in...

Group Theoretic Cryptography

Group Theoretic Cryptography

Maria Isabel González Vasco, Rainer Steinwandt

April 01, 2015

Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences. Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is viewed as a potential...

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...

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