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The Arctic Charr is a fish of wild places. It is the fish that is
capable of thriving in the harsh conditions found in the fresh
waters of the far north where no other fish can. Its toughness in
these extreme environments, its stunning beautiful colours (more
usually associated with tropical fish) and the speed with which it
is known to adapt to new environments, ensure that "charismatic" is
used in any description of this species. Although widespread and
often abundant, surprisingly little is known about Arctic Charr in
21st century Scotland. In this volume, two ecologists with a
life-long passion for this species, distil what is known, and just
as importantly what is not, about Scottich Arctic Charr.
The author's goal for the book is that it's clearly written, could
be read by a calculus student and would motivate them to engage in
the material and learn more. Moreover, to create a text in which
exposition, graphics, and layout would work together to enhance all
facets of a student's calculus experience. They paid special
attention to certain aspects of the text: 1. Clear, accessible
exposition that anticipates and addresses student difficulties. 2.
Layout and figures that communicate the flow of ideas. 3.
Highlighted features that emphasize concepts and mathematical
reasoning including Conceptual Insight, Graphical Insight,
Assumptions Matter, Reminder, and Historical Perspective. 4. A rich
collection of examples and exercises of graduated difficulty that
teach basic skills as well as problem-solving techniques, reinforce
conceptual understanding, and motivate calculus through interesting
applications. Each section also contains exercises that develop
additional insights and challenge students to further develop their
skills. Achieve for Calculus redefines homework by offering
guidance for every student and support for every instructor.
Homework is designed to teach by correcting students'
misconceptions through targeted feedback, meaningful hints, and
full solutions, helping teach students conceptual understanding and
critical thinking in real-world contexts.
The author's goal for the book is that it's clearly written, could
be read by a calculus student and would motivate them to engage in
the material and learn more. Moreover, to create a text in which
exposition, graphics, and layout would work together to enhance all
facets of a student's calculus experience. They paid special
attention to certain aspects of the text: 1. Clear, accessible
exposition that anticipates and addresses student difficulties.2.
Layout and figures that communicate the flow of ideas. 3.
Highlighted features that emphasize concepts and mathematical
reasoning including Conceptual Insight, Graphical Insight,
Assumptions Matter, Reminder, and Historical Perspective.4. A rich
collection of examples and exercises of graduated difficulty that
teach basic skills as well as problem-solving techniques, reinforce
conceptual understanding, and motivate calculus through interesting
applications. Each section also contains exercises that develop
additional insights and challenge students to further develop their
skills. Achieve for Calculus redefines homework by offering
guidance for every student and support for every instructor.
Homework is designed to teach by correcting students'
misconceptions through targeted feedback, meaningful hints, and
full solutions, helping teach students conceptual understanding and
critical thinking in real-world contexts.
"Knot theory is a fascinating mathematical subject, with multiple
links to theoretical physics. This enyclopedia is filled with
valuable information on a rich and fascinating subject." - Ed
Witten, Recipient of the Fields Medal "I spent a pleasant afternoon
perusing the Encyclopedia of Knot Theory. It's a comprehensive
compilation of clear introductions to both classical and very
modern developments in the field. It will be a terrific resource
for the accomplished researcher, and will also be an excellent way
to lure students, both graduate and undergraduate, into the field."
- Abigail Thompson, Distinguished Professor of Mathematics at
University of California, Davis Knot theory has proven to be a
fascinating area of mathematical research, dating back about 150
years. Encyclopedia of Knot Theory provides short, interconnected
articles on a variety of active areas in knot theory, and includes
beautiful pictures, deep mathematical connections, and critical
applications. Many of the articles in this book are accessible to
undergraduates who are working on research or taking an advanced
undergraduate course in knot theory. More advanced articles will be
useful to graduate students working on a related thesis topic, to
researchers in another area of topology who are interested in
current results in knot theory, and to scientists who study the
topology and geometry of biopolymers. Features Provides material
that is useful and accessible to undergraduates, postgraduates, and
full-time researchers Topics discussed provide an excellent
catalyst for students to explore meaningful research and gain
confidence and commitment to pursuing advanced degrees Edited and
contributed by top researchers in the field of knot theory
"Knot theory is a fascinating mathematical subject, with multiple
links to theoretical physics. This enyclopedia is filled with
valuable information on a rich and fascinating subject." - Ed
Witten, Recipient of the Fields Medal "I spent a pleasant afternoon
perusing the Encyclopedia of Knot Theory. It's a comprehensive
compilation of clear introductions to both classical and very
modern developments in the field. It will be a terrific resource
for the accomplished researcher, and will also be an excellent way
to lure students, both graduate and undergraduate, into the field."
- Abigail Thompson, Distinguished Professor of Mathematics at
University of California, Davis Knot theory has proven to be a
fascinating area of mathematical research, dating back about 150
years. Encyclopedia of Knot Theory provides short, interconnected
articles on a variety of active areas in knot theory, and includes
beautiful pictures, deep mathematical connections, and critical
applications. Many of the articles in this book are accessible to
undergraduates who are working on research or taking an advanced
undergraduate course in knot theory. More advanced articles will be
useful to graduate students working on a related thesis topic, to
researchers in another area of topology who are interested in
current results in knot theory, and to scientists who study the
topology and geometry of biopolymers. Features Provides material
that is useful and accessible to undergraduates, postgraduates, and
full-time researchers Topics discussed provide an excellent
catalyst for students to explore meaningful research and gain
confidence and commitment to pursuing advanced degrees Edited and
contributed by top researchers in the field of knot theory
The remains of Roman roads are a powerful reminder of the travel
and communications system that was needed to rule a vast and
diverse empire. Yet few people have questioned just how the Romans
- both military and civilians - travelled, or examined their
geographical understanding in an era which offered a greatly
increased potential for moving around, and a much bigger choice of
destinations. This volume provides new perspectives on these
issues, and some controversial arguments; for instance, that travel
was not limited to the elite, and that maps as we know them did not
exist in the empire. The military importance of transport and
communication networks is also a focus, as is the imperial post
system (cursus publicus), and the logistics and significance of
transport in both conquest and administration. With more than forty
photographs, maps and illustrations, this collection provides a new
understanding of the role and importance of travel, and of the
nature of geographical knowledge, in the Roman world.
The remains of Roman roads are a powerful reminder of the travel and communications system that was needed to rule a vast and diverse empire. Yet few people have questioned just how the Romans - both military and civilians - travelled, or examined their geographical understanding in an era which offered a greatly increased potential for moving around, and a much bigger choice of destinations. This volume provides new perspectives on these issues, and some controversial arguments; for instance, that travel was not limited to the elite, and that maps as we know them did not exist in the empire. The military importance of transport and communication networks is also a focus, as is the imperial post system (cursus publicus), and the logistics and significance of transport in both conquest and administration. With more than forty photographs, maps and illustrations, this collection provides a new understanding of the role and importance of travel, and of the nature of geographical knowledge, in the Roman world,
Why is the Devil thrilled when Hell gets its first mathematician?
How do 6 and 27 solve the diabolical murder of 9? What are
the advantages a vampire has in the math world? What happens
when we run out of new math to discover? How does Dr.
Frankenstein create the ideal mathematical creature? What
transpires when a grad student digging for theorems strikes a rich
vein on the ridge overlooking Deadwood? What happens when math
students band together to foment rebellion? What will a
mathematician do beyond the grave to finish that elusive proof?
This is just a small subset of the questions plumbed in this
collection of 45 mathematically bent stories from the fertile
imagination of Colin Adams. Originally appearing in The
Mathematical Intelligencer, an expository mathematics magazine,
these tales give a decidedly unconventional look at the world of
mathematics and mathematicians. A section of notes is provided at
the end of the book that explain references that may not be
familiar to all and that include additional commentary by the
author.
The author's goal for the book is that it's clearly written, could
be read by a calculus student and would motivate them to engage in
the material and learn more. Moreover, to create a text in which
exposition, graphics, and layout would work together to enhance all
facets of a student's calculus experience. They paid special
attention to certain aspects of the text: 1. Clear, accessible
exposition that anticipates and addresses student difficulties. 2.
Layout and figures that communicate the flow of ideas. 3.
Highlighted features that emphasize concepts and mathematical
reasoning including Conceptual Insight, Graphical Insight,
Assumptions Matter, Reminder, and Historical Perspective. 4. A rich
collection of examples and exercises of graduated difficulty that
teach basic skills as well as problem-solving techniques, reinforce
conceptual understanding, and motivate calculus through interesting
applications. Each section also contains exercises that develop
additional insights and challenge students to further develop their
skills.
How can calculus help you survive the zombie apocalypse? Colin
Adams, humor columnist for the Mathematical Intelligencer and one
of today's most outlandish and entertaining popular math writers,
demonstrates how in this zombie adventure novel. Zombies and
Calculus is the account of Craig Williams, a math professor at a
small liberal arts college in New England, who, in the middle of a
calculus class, finds himself suddenly confronted by a
late-arriving student whose hunger is not for knowledge. As the
zombie virus spreads and civilization crumbles, Williams uses
calculus to help his small band of survivors defeat the hordes of
the undead. Along the way, readers learn how to avoid being eaten
by taking advantage of the fact that zombies always point their
tangent vector toward their target, and how to use exponential
growth to determine the rate at which the virus is spreading.
Williams also covers topics such as logistic growth, gravitational
acceleration, predator-prey models, pursuit problems, the physics
of combat, and more. With the aid of his story, you too can survive
the zombie onslaught. Featuring easy-to-use appendixes that explain
the book's mathematics in greater detail, Zombies and Calculus is
suitable both for those who have only recently gotten the calculus
bug, as well as for those whose disease has advanced to the
multivariable stage.
The papyri of Egypt offer a rich and complex picture of this
important Roman province and provide an unparalleled insight into
how a Roman province actually worked. They also afford a valuable
window into ancient economic behaviour and everyday life. This
study is the first systematic treatment of the role of land
transport within the economic life of Roman Egypt, an everyday
economic activity at the centre of the economy not only of Egypt
but of the Roman world. Colin Adams studies the economics of animal
ownership, the role of transport in the commercial and agricultural
economies of Egypt, and how the Roman state used provincial
resources to meet its own transport demands. He reveals a complex
relationship between private individual and state in their use of
transport resources, a dynamic and rational economy, and the
economic and administrative behaviour imposed when an imperial
power made demands upon a province.
How can calculus help you survive the zombie apocalypse? Colin
Adams, humor columnist for the Mathematical Intelligencer and one
of today's most outlandish and entertaining popular math writers,
demonstrates how in this zombie adventure novel. Zombies and
Calculus is the account of Craig Williams, a math professor at a
small liberal arts college in New England, who, in the middle of a
calculus class, finds himself suddenly confronted by a
late-arriving student whose hunger is not for knowledge. As the
zombie virus spreads and civilization crumbles, Williams uses
calculus to help his small band of survivors defeat the hordes of
the undead. Along the way, readers learn how to avoid being eaten
by taking advantage of the fact that zombies always point their
tangent vector toward their target, and how to use exponential
growth to determine the rate at which the virus is spreading.
Williams also covers topics such as logistic growth, gravitational
acceleration, predator-prey models, pursuit problems, the physics
of combat, and more. With the aid of his story, you too can survive
the zombie onslaught. Featuring easy-to-use appendixes that explain
the book's mathematics in greater detail, Zombies and Calculus is
suitable both for those who have only recently gotten the calculus
bug, as well as for those whose disease has advanced to the
multivariable stage.
Those with an interest in knots, both young and old, will enjoy
reading "Why Knot? An Introduction to the Mathematical Theory of
Knots." Colin Adams, well-known for his advanced research in
topology and knot theory, is the author of this new book that
brings his findings and his passion for the subject to a more
general audience. Adams also presents a history of knot theory from
its early role in chemistry to modern applications such as DNA
research, dynamical systems, and fluid mechanics. Real math, unreal
fun
Each copy of "Why Knot?" is packaged with a plastic manipulative
called the Tangle(R). Adams uses the Tangle because "you can open
it up, tie it in a knot and then close it up again." The Tangle is
the ultimate tool for knot theory because knots are defined in
mathematics as being closed on a loop. Readers use the Tangle to
complete the experiments throughout the brief volume.
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