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Sunday, September 23, 2018

Suggested Books of the Week 38, 2018

Check out these books below by Cambridge University Press, Oxford University Press and MIT Press.

Eigenvalues, Multiplicities and Graphs

Eigenvalues, Multiplicities and Graphs
The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues...
It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
  • Provides a unified development of theory of eigenvalues, multiplicities, and graphs
  • Includes new information, including non-trees and geometric multiplicities
  • Offers numerous examples to demonstrate applications of the theory

Fourier Integrals in Classical Analysis 

Fourier Integrals in Classical Analysis
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis...
This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat–Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
  • Offers a self-contained introduction to harmonic and microlocal analysis that is accessible to graduate students
  • The second edition presents an expanded treatment of microlocal analysis
  • Includes new chapters on Hörmander's propagation of singularities theorem and the Duistermaat–Guillemin theorem, and on results related to the Kakeya conjecture
Ready, Set, Improvise! - The Nuts and Bolts of Music Improvisation

Ready, Set, Improvise!
The Nuts and Bolts of Music Improvisation

As an essential resource for music educators, this book provides an easy-to-follow guide to music improvisation instruction.
  • Applies to both general music and instrumental settings
  • Comprehensive Appendix with a variety of repertoire
  • Lesson plans and activities included in every chapter
  • Includes companion website for educators

Statistics in Music Education Research 

Statistics in
Music Education Research
Description In Statistics in Music Education Research, author Joshua Russell offers a new course book that explains the process of using a range of statistical analyses from inception to research design to data entry to final analysis using understandable descriptions and examples from extant music education research.
  • All examples from within the field of music education
  • Offers step-by-step instructions for application and understanding
  • Comprehensive companion website with data sets

Robot Rights 

Robot Rights
A provocative attempt to think about what was previously considered unthinkable: a serious philosophical case for the rights of robots. 
We are in the midst of a robot invasion, as devices of different configurations and capabilities slowly but surely come to take up increasingly important positions in everyday social reality—self-driving vehicles, recommendation algorithms, machine learning decision making systems, and social robots of various forms and functions. Although considerable attention has already been devoted to the subject of robots and responsibility, the question concerning the social status of these artifacts has been largely overlooked. 
In this book, David Gunkel offers a provocative attempt to think about what has been previously regarded as unthinkable: whether and to what extent robots and other technological artifacts of our own making can and should have any claim to moral and legal standing.

The Beauty of Numbers in Nature - Mathematical Patterns and Principles from the Natural World 

The Beauty of Numbers in Nature 
Mathematical Patterns and
From a zebra's stripes to a spider's web: an engaging examination of patterns in nature and the mathematics that underlie them. From a zebra's stripes to a spider's web, from sand dunes to snowflakes, nature is full of patterns underlaid by mathematical principles. In The Beauty of Numbers in Nature, Ian Stewart shows how life forms from the principles of mathematics. Each chapter in The Beauty of Numbers in Nature explores a different kind of patterning system and its mathematical underpinnings. In doing do, the book also uncovers some universal patterns—both in nature and made by humans—from the basic geometry of ancient Greece to the complexities of fractals.
Stewart draws on a wide range of sources to examine the mathematics of patterns: the Pythagoreans' obsession with numbers as the philosophical basis of the universe; a great mathematician who wondered about how a violin makes music; a clerk in a patent office who realized that space and time can get mixed together; a maverick mathematician who questioned why nature spurns such regular geometric shapes as spheres and cylinders in favor of jagged lightning bolts, asymmetrically branching trees, and the uneven terrain of mountainsides. 
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I hope you enjoy reading this!  

Source: Cambridge University Press, Oxford University Press and MIT Press