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Sunday, July 08, 2018

Suggested Books of the Week 27, 2018

Check out these books below by Ancient Origins and Cambridge University Press.

The Essential Classics: An Anthology of Greco-Roman Literature 

The Essential Classics:
An Anthology of
Greco-Roman Literature
From the epic stories of Homer to the philosophical insights of Marcus Aurelius, The Essential Classics is a bountiful anthology of one thousand years of Greek and Roman literature. It is a treasure trove of familiar masterworks by such visionaries as Sophocles, Aristotle, and Cicero. Biographical sketches reveal the colorful lives of each author and lucid commentaries guide the reader through the intricacies of the texts...

A beautiful hardback edition, 644 pages consisting of the greatest Ancient Greek and Latin texts all compiled in one convenient location, the Essential Classics will be a welcome edition to any home library or office. 
Read more... 

The Cygnus Key: The Denisovan Legacy, Göbekli Tepe, and the Birth of Egypt

The Cygnus Key:
The Denisovan Legacy, Göbekli Tepe,
and the Birth of Egypt
New Evidence Showing That the Earliest Origins of Human Culture, Religion, and Technology Derive From the Lost World of the Denisovans
Built at the end of the last ice age around 9600 BCE, Göbekli Tepe in southeast Turkey was designed to align with the constellation of the celestial swan, Cygnus—a fact confirmed by the discovery at the site of a tiny bone plaque carved with the three key stars of Cygnus. Remarkably, the three main pyramids at Giza in Egypt, including the Great Pyramid, align with the same three stars. But where did this ancient veneration of Cygnus come from? 

Showing that Cygnus was once seen as a portal to the sky-world, Andrew Collins reveals how, at both sites, the attention toward this star group is linked with sound acoustics and the use of musical intervals “discovered” thousands of years later by the Greek mathematician Pythagoras. 

New Books available from Cambridge University Press  

Discrete Harmonic Analysis
Representations, Number Theory, Expanders, and the Fourier Transform

Discrete Harmonic Analysis
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups...

With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science. 
  • Provides a self-contained, unified treatment of finite Abelian Groups, finite fields, Discrete and Fast Fourier Transforms, and applications to number theory, spectral graph theory and expanders, and representation theory of finite groups
  • Includes a well-rounded set of examples and over 160 exercises
  • Develops the reader's understanding from the fundamentals to the frontiers of current research

The Mathieu Groups

The Mathieu Groups
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups...  

The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.
  • The author's intuitive approach helps the reader to fully understand the amalgam method
  • This geometric treatment will enable the reader to get to grips with the object as a whole
  • Serves as a reference for postgraduate students and researchers in group theory

A Short Course in Differential Topology 

A Short Course in Differential Topology
Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for advanced undergraduates and beginning graduate students...
The treatment is hands-on, including many concrete examples and exercises woven into the text, with hints provided to guide the student.   
  • Provides a concise and modern treatment of the subject, focussing on examples and understanding over equations
  • Examples, exercises and hints make the book ideal for self-study
  • The book is accessible to advanced undergraduate and beginning graduate students
Geometries and Transformations

Geometries and Transformations
Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected...

Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.
  • Provides a unified framework for describing Euclidean and non-Euclidean geometries
  • Demonstrates the interconnectedness of different geometries using linear algebra
  • Includes both classical results and contemporary research, as well as numerous exercises

Enjoy your reading!  

Source: Ancient Origins and Cambridge University Press