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Linear Algebra: Algorithms, Applications, and Techniques, Fourth
Edition offers a modern and algorithmic approach to computation
while providing clear and straightforward theoretical background
information. The book guides readers through the major
applications, with chapters on properties of real numbers, proof
techniques, matrices, vector spaces, linear transformations, eigen
values, and Euclidean inner products. Appendices on Jordan
canonical forms and Markov chains are included for further study.
This useful textbook presents broad and balanced views of theory,
with key material highlighted and summarized in each chapter. To
further support student practice, the book also includes ample
exercises with answers and hints.
Baseball fans are often passionate about statistics, but true
numbers fanatics want to go beyond the 'baseball card' stats and
make comparisons through other objective means. ""Sabermetrics""
uses algebra to expand on statistics and measure a player's value
to his team and how he ranks among players of different eras. The
mathematical models in this book, a follow-up to ""Understanding
Sabermetrics"" (2008), define the measures, supply examples, and
provide practice problems for readers.
This book is concerned with the optimization problem of maximizing
the number of spanning trees of a multigraph. Since a spanning tree
is a minimally connected subgraph, graphs and multigraphs having
more of these are, in some sense, immune to disconnection by edge
failure. We employ a matrix-theoretic approach to the calculation
of the number of spanning trees.The authors envision this as a
research aid that is of particular interest to graduate students or
advanced undergraduate students and researchers in the area of
network reliability theory. This would encompass graph theorists of
all stripes, including mathematicians, computer scientists,
electrical and computer engineers, and operations researchers.
Interest in Sabermetrics has increased dramatically in recent years
as the need to better compare baseball players has intensified
among managers, agents and fans, and even other players. The
authors explain how traditional measures-such as Earned Run
Average, Slugging Percentage, and Fielding Percentage-along with
new statistics-Wins Above Average, Fielding Independent Pitching,
Wins Above Replacement, the Equivalence Coefficient and
others-define the value of players. Actual player statistics are
used in developing models, while examples and exercises are
provided in each chapter. This book serves as a guide for both
beginners and those who wish to be successful in fantasy leagues.
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