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Books > Science & Mathematics > Mathematics
Deepen and broaden subject knowledge to set yourself up for future
success Foundation Maths 7th Edition by Croft and Davison has been
written for students taking higher and further education courses
who may not have specialised in mathematics on post-16
qualifications, and who require a working knowledge of mathematical
and statistical tools. By providing careful and steady guidance in
mathematical methods along with a wealth of practice exercises to
improve your maths skills, Foundation Maths imparts confidence in
its readers. For students with established mathematical expertise,
this book will be an ideal revision and reference guide. The style
of the book also makes it suitable for self-study and distance
learning with self-assessment questions and worked examples
throughout. Foundation Maths is ideally suited for students
studying marketing, business studies, management, science,
engineering, social science, geography, combined studies and
design. Features: Mathematical processes described in everyday
language. Key points highlighting important results for easy
reference Worked examples included throughout the book to reinforce
learning. Self-assessment questions to test understanding of
important concepts, with answers provided at the back of the book.
Demanding Challenge Exercises included at the end of chapters
stretch the keenest of students Test and assignment exercises with
answers provided in a lecturer's Solutions Manual available for
download at go.pearson.com/uk/he/resources, allow lecturers to set
regular work throughout the course A companion website containing a
student support pack and video tutorials, as well as PowerPoint
slides for lecturers, can be found at
go.pearson.com/uk/he/resources New to this edition: A new section
explains the importance of developing a thorough mathematical
foundation in order to take advantage of and exploit the full
capability of mathematical and statistical technology used in
higher education and in the workplace Extensive sections throughout
the book illustrate how readily-available computer software and
apps can be used to perform mathematical and statistical
calculations, particularly those involving algebra, calculus, graph
plotting and data analysis There are revised, enhanced sections on
histograms and factorisation of quadratic expressions The new
edition is fully integrated with MyLab Math, a powerful online
homework, tutorial and self-study system that contains over 1400
exercises that can be assigned or used for student practice, tests
and homework Anthony Croft has taught mathematics in further and
higher education institutions for over thirty years. During this
time he has championed the development of mathematics support for
the many students who find the transition from school to university
mathematics particularly difficult. In 2008 he was awarded a
National Teaching Fellowship in recognition of his work in this
field. He has authored many successful mathematics textbooks,
including several for engineering students. He was jointly awarded
the IMA Gold Medal 2016 for his outstanding contribution to
mathematics education. Robert Davison has thirty years' experience
teaching mathematics in both further and higher education. He has
authored many successful mathematics textbooks, including several
for engineering students.
Dr Zoltan Dienes is a world-famous theorist and tireless
practitioner of the 'new mathematics' - an approach to mathematics
learning which uses games, songs and dance to make it more
appealing to children. Holder of numerous honorary degrees, Dr
Dienes has had a long and fruitful career, breaking new ground and
gaining many followers with his revolutionary ideas of learning
often complex mathematical concepts in such fun ways that children
are often unaware that they are learning anything. This is an
honest account of an academic radical, covering his sometimes
unconventional childhood in Hungary, France, Germany and Britain,
his peripatetic academic career, his successes and failures and his
personal affairs. Occasionally sad or moving, frequently amusing
and always fascinating, this autobiography shares some of the
intelligence, spirit and humanity that have made Dr Dienes such a
landmark figure in mathematics education. A 'must-read' for anyone
with a professional interest in the field, this is also an
absorbing and frank book for anyone interested in the life of a man
of ideas who was not afraid to take on the might of the
traditionalist educational establishment.
In this work Zoltan Paul Dienes enlivens the world of algebra and
examines some of the mysteries of mathematical constructions in a
new and exciting fashion. Step by step, equation by equation,
diagram by diagram, he strips away all the unintelligible jargon
and brings each task and problem to life. If algebra lessons were
viewed with dread at school, this is the book to make you
reconsider. The informal style, clear diagrams and comprehensive
explanations make understanding easy, while innovative games and
intriguing puzzles ensure that learning is no longer a chore but a
pleasure. Although predominantly aimed at those already equipped
with basic algebra skills, beginners and experts alike will find
much to interest and test them.
Quantitative techniques form the backbone of all statistical,
economic and management models according to which forecasts and
management decisions are made. Quantitative statistical techniques
aims to help readers not only master these techniques, but also
understand the role of each technique. Quantitative principles are
stated simply and are specifically directed at the first-year
student who is contemplating a career in the business sector. The
topics that are dealt with reflect the relevant quantitative
background specifically demanded by business careers. Guidelines
describing how calculations can be performed with computer software
are integrated throughout the text.
A valuable, bilingual guide to the most useful statistical tables.
Deep Learning, Volume 48 in the Handbook of Statistics series,
highlights new advances in the field, with this new volume
presenting interesting chapters on a variety of timely topics,
including Generative Adversarial Networks for Biometric Synthesis,
Data Science and Pattern Recognition, Facial Data Analysis, Deep
Learning in Electronics, Pattern Recognition, Computer Vision and
Image Processing, Mechanical Systems, Crop Technology and Weather,
Manipulating Faces for Identity Theft via Morphing and Deepfake,
Biomedical Engineering, and more.
Putting Two and Two Together is a humorous and quirky collection of
unusual, ingenious, and beautiful morsels of mathematics. Authors
Burkard Polster (YouTube's Mathologer) and Marty Ross delve into
mathematical puzzles and phenomena in engaging stories featuring
current events, sports, and history, many flavored with a
distinctive bit of Australiana. Each chapter ends with ""puzzles to
ponder"" that will spur further reflection. These stories were
written for a general audience, and originally appeared in the
Maths Masters column in The Age newspaper. The book offers
mathematical entertainment for curious readers of all ages, and
assumes a minimum of mathematical background.
Do high-speed, complicated arithmetic in your head using the
Trachtenberg Speed System. Ever find yourself struggling to check a
bill or a payslip? With The Trachtenberg Speed System you can.
Described as the 'shorthand of mathematics', the Trachtenberg
system only requires the ability to count from one to eleven. Using
a series of simplified keys it allows anyone to master
calculations, giving greater speed, ease in handling numbers and
increased accuracy. Jakow Trachtenberg believed that everyone is
born with phenomenal abilities to calculate. He devised a set of
rules that allows every child to make multiplication, division,
addition, subtraction and square-root calculations with unerring
accuracy and at remarkable speed. It is the perfect way to gain
confidence with numbers.
This book aims to provide an overview of the special functions of
fractional calculus and their applications in diffusion and random
search processes. The book contains detailed calculations for
various examples of anomalous diffusion, random search and
stochastic resetting processes, which can be easily followed by the
reader, who will be able to reproduce the obtained results. The
book will be intended for advanced undergraduate and graduate
students and researchers in physics, mathematics and other natural
sciences due to the various examples which will be provided in the
book.
Principles of Big Graph: In-depth Insight, Volume 128 in the
Advances in Computer series, highlights new advances in the field
with this new volume presenting interesting chapters on a variety
of topics, including CESDAM: Centered subgraph data matrix for
large graph representation, Bivariate, cluster and suitability
analysis of NoSQL Solutions for big graph applications, An
empirical investigation on Big Graph using deep learning, Analyzing
correlation between quality and accuracy of graph clustering,
geneBF: Filtering protein-coded gene graph data using bloom filter,
Processing large graphs with an alternative representation,
MapReduce based convolutional graph neural networks: A
comprehensive review. Fast exact triangle counting in large graphs
using SIMD acceleration, A comprehensive investigation on attack
graphs, Qubit representation of a binary tree and its operations in
quantum computation, Modified ML-KNN: Role of similarity measures
and nearest neighbor configuration in multi label text
classification on big social network graph data, Big graph based
online learning through social networks, Community detection in
large-scale real-world networks, Power rank: An interactive web
page ranking algorithm, GA based energy efficient modelling of a
wireless sensor network, The major challenges of big graph and
their solutions: A review, and An investigation on socio-cyber
crime graph.
In modern theoretical and applied mechanics, tensors and
differential geometry are two almost essential tools.
Unfortunately, in university courses for engineering and mechanics
students, these topics are often poorly treated or even completely
ignored. At the same time, many existing, very complete texts on
tensors or differential geometry are so advanced and written in
abstract language that discourage young readers looking for an
introduction to these topics specifically oriented to engineering
applications.This textbook, mainly addressed to graduate students
and young researchers in mechanics, is an attempt to fill the gap.
Its aim is to introduce the reader to the modern mathematical tools
and language of tensors, with special applications to the
differential geometry of curves and surfaces in the Euclidean
space. The exposition of the matter is sober, directly oriented to
problems that are ordinarily found in mechanics and engineering.
Also, the language and symbols are tailored to those usually
employed in modern texts of continuum mechanics.Though not
exhaustive, as any primer textbook, this volume constitutes a
coherent, self-contained introduction to the mathematical tools and
results necessary in modern continuum mechanics, concerning
vectors, 2nd- and 4th-rank tensors, curves, fields, curvilinear
coordinates, and surfaces in the Euclidean space. More than 100
exercises are proposed to the reader, many of them complete the
theoretical part through additional results and proofs. To
accompany the reader in learning, all the exercises are entirely
developed and solved at the end of the book.
There is an extensive literature in the form of papers (but no
books) on lattice dynamical systems. The book focuses on
dissipative lattice dynamical systems and their attractors of
various forms such as autonomous, nonautonomous and random. The
existence of such attractors is established by showing that the
corresponding dynamical system has an appropriate kind of absorbing
set and is asymptotically compact in some way.There is now a very
large literature on lattice dynamical systems, especially on
attractors of all kinds in such systems. We cannot hope to do
justice to all of them here. Instead, we have focused on key areas
of representative types of lattice systems and various types of
attractors. Our selection is biased by our own interests, in
particular to those dealing with biological applications. One of
the important results is the approximation of Heaviside switching
functions in LDS by sigmoidal functions.Nevertheless, we believe
that this book will provide the reader with a solid introduction to
the field, its main results and the methods that are used to obtain
them.
Why can no two people ever see the same rainbow? What happens when you
pull a pop song apart into pure sine waves and play it back on a piano?
Why does the wake behind a duck always form an angle of exactly 39
degrees? And what did mathematicians have to do with the great pig
stampede of 2012? The answer to each of these questions can be found in
the triangle.
In Love Triangle, stand-up comedian, ex-maths teacher and Sunday Times
number one bestselling author Matt Parker is on a mission to prove why
we should all show a lot more love for triangles, along with the useful
trigonometry and geometry they enable. To make his point, he uses
triangles to create his own digital avatar, survive a harrowing
motorcycle ride, cut a sandwich into three equal parts, and measure
tall buildings while wearing silly shoes. But soon these hare-brained
experiments begin to reveal a genuinely important truth: triangles are
the hidden pattern beneath the surface of the contemporary world, used
in everything from GPS to CGI via Spotify streaming, the play button
and your best mate’s triangle tattoo.
Join Matt Parker as he demonstrates why there’s more to triangles than
Pythagoras and SOHCAHTOA. Triangles are everything and everything is
triangles.
Hyperidentities are important formulae of second-order logic, and
research in hyperidentities paves way for the study of second-order
logic and second-order model theory.This book illustrates many
important current trends and perspectives for the field of
hyperidentities and their applications, of interest to researchers
in modern algebra and discrete mathematics. It covers a number of
directions, including the characterizations of the Boolean algebra
of n-ary Boolean functions and the distributive lattice of n-ary
monotone Boolean functions; the classification of hyperidentities
of the variety of lattices, the variety of distributive (modular)
lattices, the variety of Boolean algebras, and the variety of De
Morgan algebras; the characterization of algebras with
aforementioned hyperidentities; the functional representations of
finitely-generated free algebras of various varieties of lattices
and bilattices via generalized Boolean functions (De Morgan
functions, quasi-De Morgan functions, super-Boolean functions,
super-De Morgan functions, etc); the structural results for De
Morgan algebras, Boole-De Morgan algebras, super-Boolean algebras,
bilattices, among others.While problems of Boolean functions theory
are well known, the present book offers alternative, more general
problems, involving the concepts of De Morgan functions, quasi-De
Morgan functions, super-Boolean functions, and super-De Morgan
functions, etc. In contrast to other generalized Boolean functions
discovered and investigated so far, these functions have clearly
normal forms. This quality is of crucial importance for their
applications in pure and applied mathematics, especially in
discrete mathematics, quantum computation, quantum information
theory, quantum logic, and the theory of quantum computers.
The revision of this well-respected text presents a balanced
approach of the classical and Bayesian methods and now includes a
chapter on simulation (including Markov chain Monte Carlo and the
Bootstrap), coverage of residual analysis in linear models, and
many examples using real data. Probability & Statistics, Fourth
Edition, was written for a one- or two-semester probability and
statistics course. This course is offered primarily at four-year
institutions and taken mostly by sophomore and junior level
students majoring in mathematics or statistics. Calculus is a
prerequisite, and a familiarity with the concepts and elementary
properties of vectors and matrices is a plus.
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