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The Mathematics of Chip-Firing

1st Edition

Caroline J. Klivans
November 21, 2018

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very...

Generalized Fractional Order Differential Equations Arising in Physical Models

1st Edition

Santanu Saha Ray, Subhadarshan Sahoo
November 20, 2018

This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential...

Sturm-Liouville Problems: Theory and Numerical Implementation

1st Edition

Ronald B. Guenther, John W Lee
November 08, 2018

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical...

Understanding Physics and Physical Chemistry Using Formal Graphs

1st Edition

Eric Vieil
November 08, 2018

The subject of this book is truly original. By encoding of algebraic equations into graphs—originally a purely pedagogical technique—the exploration of physics and physical chemistry reveals common pictures through all disciplines. The hidden structure of the scientific formalism that appears is a...

Graph Theory and Its Applications

3rd Edition

Jonathan L. Gross, Jay Yellen, Mark Anderson
November 06, 2018

Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph...

Portfolio Rebalancing

1st Edition

Edward E. Qian
November 06, 2018

The goal of Portfolio Rebalancing is to provide mathematical and empirical analysis of the effects of portfolio rebalancing on portfolio returns and risks. The mathematical analysis answers the question of when and why fixed-weight portfolios might outperform buy-and-hold portfolios based on...

Planetary Remote Sensing and Mapping

1st Edition

Bo Wu, Kaichang Di, Jürgen Oberst, Irina Karachevtseva
November 06, 2018

The early 21st century marks a new era in space exploration. The National Aeronautics and Space Administration (NASA) of the United States, The European Space Agency (ESA), as well as space agencies of Japan, China, India, and other countries have sent their probes to the Moon, Mars, and other...

Numerical Methods and Methods of Approximation in Science and Engineering

1st Edition

Karan S. Surana
November 05, 2018

Numerical Methods and Methods of Approximation in Science and Engineering prepares students and other readers for advanced studies involving applied numerical and computational analysis. Focused on building a sound theoretical foundation, it uses a clear and simple approach backed by numerous...

A Systemic Perspective on Cognition and Mathematics

1st Edition

Jeffrey Yi-Lin Forrest
October 26, 2018

This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph...

Random Circulant Matrices

1st Edition

Arup Bose, Koushik Saha
October 25, 2018

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the...

Image Operators: Image Processing in Python

1st Edition

Jason M. Kinser
October 24, 2018

For decades, researchers have been developing algorithms to manipulate and analyze images. From this, a common set of image tools now appear in many high-level programming languages. Consequently, the amount of coding required by a user has significantly lessened over the years. While the libraries...

Foundations of Discrete Mathematics with Algorithms and Programming

1st Edition

R. Balakrishnan, Sriraman Sridharan
October 17, 2018

Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of...