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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A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

Daniel Cohen-Or, Chen Greif, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao (Richard) Zhang

May 21, 2015

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry...

Waves and Oscillations in Nature: An Introduction

Waves and Oscillations in Nature: An Introduction

A Satya Narayanan, Swapan K Saha

May 20, 2015

Waves and oscillations are found in large scales (galactic) and microscopic scales (neutrino) in nature. Their dynamics and behavior heavily depend on the type of medium through which they propagate. Waves and Oscillations in Nature: An Introduction clearly elucidates the dynamics and behavior of...

Water Wave Scattering

Water Wave Scattering

Birendra Nath Mandal, Soumen De

May 20, 2015

The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles...

Numerical Methods for Fractional Calculus

Numerical Methods for Fractional Calculus

Changpin Li, Fanhai Zeng

May 19, 2015

Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs....

Capital Account Liberation: Methods and Applications

Capital Account Liberation: Methods and Applications

Ying Yirong, Jeffrey Yi-Lin Forrest

May 13, 2015

Along with the development of economic globalization, many countries have begun to relax their controls on their capital accounts. However, the recent financial crises in Latin American countries as well as the exchange rate crises in Southeast Asian countries have shown that there is major risk...

Advanced Linear Algebra, Second Edition

Advanced Linear Algebra, Second Edition

Bruce Cooperstein

May 07, 2015

Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need...

Abstract Volterra Integro-Differential Equations

Abstract Volterra Integro-Differential Equations

Marko Kostic

May 06, 2015

The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the...

Optimization: Algorithms and Applications

Optimization: Algorithms and Applications

Rajesh Kumar Arora

May 06, 2015

Choose the Correct Solution Method for Your Optimization Problem Optimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic...

Linear and Integer Optimization: Theory and Practice, Third Edition

Linear and Integer Optimization: Theory and Practice, Third Edition

Gerard Sierksma, Yori Zwols

May 01, 2015

Presenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig’s simplex algorithm, duality...

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...

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