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Discovering Group Theory: A Transition to Advanced Mathematics
presents the usual material that is found in a first course on
groups and then does a bit more. The book is intended for students
who find the kind of reasoning in abstract mathematics courses
unfamiliar and need extra support in this transition to advanced
mathematics. The book gives a number of examples of groups and
subgroups, including permutation groups, dihedral groups, and
groups of integer residue classes. The book goes on to study cosets
and finishes with the first isomorphism theorem. Very little is
assumed as background knowledge on the part of the reader. Some
facility in algebraic manipulation is required, and a working
knowledge of some of the properties of integers, such as knowing
how to factorize integers into prime factors. The book aims to help
students with the transition from concrete to abstract mathematical
thinking.
Discovering Group Theory: A Transition to Advanced Mathematics
presents the usual material that is found in a first course on
groups and then does a bit more. The book is intended for students
who find the kind of reasoning in abstract mathematics courses
unfamiliar and need extra support in this transition to advanced
mathematics. The book gives a number of examples of groups and
subgroups, including permutation groups, dihedral groups, and
groups of integer residue classes. The book goes on to study cosets
and finishes with the first isomorphism theorem. Very little is
assumed as background knowledge on the part of the reader. Some
facility in algebraic manipulation is required, and a working
knowledge of some of the properties of integers, such as knowing
how to factorize integers into prime factors. The book aims to help
students with the transition from concrete to abstract mathematical
thinking.
"Pebbles in the Pond" is a collection of short stories about the
consequences and effects of human interaction like ripples
spreading across a pond after a stone has been thrown in.
'High Five in Jerusalem' is a story of our times. It is an epic
tale of good overcoming evil, of light over dark, and of hope over
despair. Tarik Tanovic was only fifteen years old when his father
was murdered by a Serbian sniper in his home city of Sarajevo
during the three-year-long siege. The incident was to have a
profound effect on his life as he struggled to come to terms with
his loss and the senselessness of it all. This is Tarik's story. A
compelling account of his strive to overcome his demons, seek an
equalisation of events, achieve catharsis and finally get on with
the rest of his life.
A story of supreme courage. Two boys who grew up together in the
district of Tinsley in Sheffield against a backdrop of the
declining fortunes of the once world-beating steel industry. One
indebted to the other from an early age and both with powerful
ambitions. The Sheffield Avengers is the story of their
development, their personal relationships with their families and
their lovers, acts of supreme courage and the restoration of pride.
'Made in Sheffield' is a global endorsement of quality, strength
and consistency that can apply to its people, products and a
warship that carried its name. Fast paced and international in its
breadth and reach, The Sheffield Avengers is a meticulously
researched and compelling 'what if' story of the skill and courage
of Britain's Special Forces during the Falklands War in 1982.
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