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Books > Science & Mathematics > Mathematics > General
Since its first volume in 1960, Advances in Computers has
presented detailed coverage of innovations in computer hardware,
software, theory, design, and applications. It has also provided
contributors with a medium in which they can explore their subjects
in greater depth and breadth than journal articles usually allow.
As a result, many articles have become standard references that
continue to be of sugnificant, lasting value in this rapidly
expanding field.
In-depth surveys and tutorials on new computer technologyWell-known
authors and researchers in the fieldExtensive bibliographies with
most chaptersMany of the volumes are devoted to single themes or
subfields of computer science
VARIATIONAL CALCULUS WITH ENGINEERING APPLICATIONS A comprehensive
overview of foundational variational methods for problems in
engineering Variational calculus is a field in which small
alterations in functions and functionals are used to find their
relevant maxima and minima. It is a potent tool for addressing a
range of dynamic problems with otherwise counter-intuitive
solutions, particularly ones incorporating multiple confounding
variables. Its value in engineering fields, where materials and
geometric configurations can produce highly specific problems with
unconventional or unintuitive solutions, is considerable.
Variational Calculus with Engineering Applications provides a
comprehensive survey of this toolkit and its engineering
applications. Balancing theory and practice, it offers a thorough
and accessible introduction to the field pioneered by Euler,
Lagrange and Hamilton, offering tools that can be every bit as
powerful as the better-known Newtonian mechanics. It is an
indispensable resource for those looking for engineering-oriented
overview of a subject whose capacity to provide engineering
solutions is only increasing. Variational Calculus with Engineering
Applications readers will also find: Discussion of subjects
including variational principles, levitation, geometric dynamics,
and more Examples and instructional problems in every chapter,
along with MAPLE codes for performing the simulations described in
each Engineering applications based on simple, curvilinear, and
multiple integral functionals Variational Calculus with Engineering
Applications is ideal for advanced students, researchers, and
instructors in engineering and materials science.
Discover modern solutions to ancient mathematical problems with
this engaging guide, written by a mathematics enthusiast originally
from South Vietnam. Author Dat Phung To provides a theory that
defines the compositions of partial permutations. To help you apply
it, he looks back at the ancient mathematicians who solved
challenging problems. Unlike people today, the scholars who lived
in the ancient world didn't have calculators and computers to help
answer complicated questions. Even so, they still achieved great
works, and their methods continue to hold relevance. In this
textbook, you'll find fourteen ancient problems along with their
solutions. The problems are arranged from easiest to toughest, so
you can focus on building your knowledge as you progress through
the text. Fourteen Ancient Problems also explores partial
permutations theory, a mathematical discovery that has many
applications. It provides a specific and unique method to write
down the whole expansion of nPn = n into single permutations with n
being a finite number. Take a thrilling journey throughout the
ancient world, discover an important theory, and build upon your
knowledge of mathematics with Fourteen Ancient Problems.
The book is a review of some basics notions in optics. The first
chapter starts with a review of Newton's laws and planetary motion
and some related equations. The second chapter deals with the
planet earth's atmosphere; the third is an introduction to remote
sensing. Chapter 4 and 5 introduce a background on Maxwell's laws
in electromagnetism and light polarization. Some other topics of
interest have been also developed. Among these topics are the light
interaction with spherical surfaces and related equations, light
Interference, linear polarization by anisotropy, Fourier transform
spectroscopy, and an introduction to Lidar.
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