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Books > Science & Mathematics > Mathematics
When Sir Cyril Burt died in 1971, he was widely recognized as
Britain's most eminent educational psychologist whose studies of
gifted and delinquent children, contributions to the development of
factor analysis, and research on the inheritance of intelligence
brought widespread acclaim. Within five years of his death,
however, he was publicly denounced as a fraud who had fabricated
data to conclude that intelligence is genetically determined.
Examiners of the published data found serious inconsistencies that
raised questions about their authenticity; the case has divided the
scientific community ever since. Were the charges justified, or was
he a victim of critics fearful of validating such a politically
unacceptable scientific theory? This is an up-to-date and unbiased
analysis of one of the most notorious scandals in science, now more
timely and widely discussed than ever with the publication of The
Bell Curve, the best-selling polemic that raises arguments
comparable to Burt's. The distinguished contributors examine the
controversial areas of Burt's work and argue that his defenders
have sometimes, but by no means always, been correct, and that his
critics have often jumped to hasty conclusions. In their haste,
however, these critics have missed crucial evidence that is not
easily reconciled with Burt's total innocence, leaving the
perception that both cases are seriously flawed. An introductory
chapter lays the background to the case, followed by an examination
of Burt's work that relates to the controversy. The book concludes
with a chapter on Burt's character, other cases of apparent
scientific fraud, and the impact of Burt's alleged fabrications.
These findings have profound implications not only for the study of
psychology, but for the wider issues relating to integrity in
scientific research, and the impact of intelligence testing on
social policy.
Exam Board: Pearson Edexcel Academic Level: A level Subject:
Mathematics First teaching: September 2017 First Exams: Summer 2018
Each book contains two complete sets of practice papers (six papers
in total) with fully worked solutions and hints and notes on the
marks allocated directly alongside the relevant steps of the
solution, so students can make most sense of them and build their
confidence. Designed to survive the rigors of the classroom and
home, all the papers are bound into a durable book. Accessible
write-in format allows students to take an active role in their
revision.
The UK's most trusted A level Mathematics resources With over
900,000 copies sold (plus 1.3 million copies sold of the previous
edition), Pearson's own resources for Pearson Edexcel are the
market-leading and most trusted for AS and A level Mathematics. Our
A level Mathematics Statistics and Mechanics Year 1 Practice Book
helps you get exam-ready with confidence and practice at the right
pace. Coverage: the practice workbooks cover all Pure, Statistics
and Mechanics topics Quantity: the most A level question practice
available, with over 2,000 extra questions per book Practice at the
right pace: start with the essentials, build your skills with
various practice questions to make connections between topics, then
apply this to exam-style questions at the end of each chapter Get
exam-ready with confidence: differentiated questions including
'Bronze, Silver, Gold' in each chapter, and a mixed problem-solving
section for each book, will guide and help you to develop the
skills you need for your exams Designed to be used flexibly, the
practice books are fully mapped to the scheme of work and textbooks
so you can use them seamlessly in and out of the classroom and all
year round. Use them lesson by lesson, topic by topic, for
homework, revision and more - the choice is yours Great value
practice materials that are cheaper than photocopying, saves more
time than independently sourcing questions and answers, and are all
in one place Pearson Edexcel AS and A level Mathematics Statistics
and Mechanics Year 1/AS Practice Book matches the Pearson Edexcel
exam structure and is fully integrated with Pearson Edexcel's
interactive scheme of work. Practice books are also available
offering the most comprehensive and flexible AS/A level Maths
practice with over 2000 extra questions. Pearson's revision
resources are the smart choice for those revising for Pearson
Edexcel AS and A level Mathematics - there is a Revision Workbook
for exam practice and a Revision Guide for classroom and
independent study. Practice Papers Plus+ books contain additional
full length practice papers, so you can practice answering
questions by writing straight into the book and perfect your
responses with targeted hints, guidance and support for every
question, including fully worked solutions.
Hilbert's Programs & Beyond presents the foundational work of
David Hilbert in a sequence of thematically organized essays. They
first trace the roots of Hilbert's work to the radical
transformation of mathematics in the 19th century and bring out his
pivotal role in creating mathematical logic and proof theory. They
then analyze techniques and results of "classical" proof theory as
well as their dramatic expansion in modern proof theory. This
intellectual experience finally opens horizons for reflection on
the nature of mathematics in the 21st century: Sieg articulates his
position of reductive structuralism and explores mathematical
capacities via computational models.
Supports daily classroom instruction and gives students a long-term
record of their mathematical progress and development. Two volumes;
Grade 1-6; consumable
The UK's most trusted A level Mathematics resources With over
900,000 copies sold (plus 1.3 million copies sold of the previous
edition), Pearson's own resources for Pearson Edexcel are the
market-leading and most trusted for AS and A level Mathematics This
book can be used alongside the Year 1 book to cover all the content
needed for the Edexcel A level Pure Mathematics exams Enhanced
focus on problem-solving and modelling, as well as supporting the
large data set and calculators Packed with worked examples with
guidance, lots of exam-style questions, practice papers, and plenty
of mixed and review exercises Full worked solutions to every
question available free and online for quick and easy access. Plus
free additional online content with GeoGebra interactives and Casio
calculator tutorials Practice books also available offering the
most comprehensive and flexible AS/A level Maths practice with over
2000 extra questions Includes access to an online digital edition
(valid for 3 years once activated) Pearson Edexcel A level
Mathematics Pure Mathematics Year 2 Textbook + e-book matches the
Pearson Edexcel exam structure and is fully integrated with Pearson
Edexcel's interactive scheme of work. All of the books in this
series focus on problem-solving and modelling, as well as
supporting the large data set and calculators. They are packed with
worked examples with guidance, lots of exam-style questions,
practice papers, and plenty of mixed and review exercises. There
are full worked solutions to every question available free and
online for quick and easy access. You will also have access to lots
of free additional online content with GeoGebra interactives and
Casio calculator tutorials. There are separate Pure and Applied
textbooks for AS and A level Maths, and a textbook per option for
AS and A level Further Maths. Practice books are also available
offering the most comprehensive and flexible AS/A level Maths
practice with over 2000 extra questions. Pearson's revision
resources are the smart choice for those revising for Pearson
Edexcel AS and A level Mathematics - there is a Revision Workbook
for exam practice and a Revision Guide for classroom and
independent study. Practice Papers Plus+ books contain additional
full length practice papers, so you can practice answering
questions by writing straight into the book and perfect your
responses with targeted hints, guidance and support for every
question, including fully worked solutions.
Learn everything you need to know about Calculus and practice your
reasoning and practical skills with a high-end textbook suitable
for a wide range of course levels. Calculus: A Complete Course,
10th Edition by Robert Adams and Christopher Essex is the ultimate
guide written by two leading authors in the field that continues to
build its solid core following the successful pattern of its
previous editions. With its reader-friendly language, the textbook
holds a reputation for excellent accuracy and mathematical rigour,
offering you study material suitable to cover a standard semester
course, as well as high-end content that will help you further
explore some of the unique topics and approaches in the landscape
of Mathematics. Adding important, but overlooked topics while
clarifying old ones, this edition will help you develop and
practice your reasoning skills and apply techniques you have
learned to concrete situations. Some of the topics this edition
explores include: Sufficient conditions for maxima and minima in
higher dimensions: this is the only mainstream textbook that covers
the topic sufficiently. The fuzzy topic of metrics: the text
explores and addresses any issues and questions, leading to new
gateway topics, including spherical geometry (as in navigation) and
special relativity, which emerge rather effortlessly once the
metric concept is in place properly. Computers and mathematics
through Maple and now Python: there is no other Calculus book that
deals better with the topic while treating unique but important
applications from information theory to Levy distributions. With a
wide variety of exercises and useful features to support your
learning, this unique edition continues to aspire to the definition
of its subtitle of "A Complete Course." Also available with MyLab
(R) Math MyLab is the teaching and learning platform that empowers
you to reach every student. By combining trusted author content
with digital tools and a flexible platform, MyLabMath personalises
the learning experience and improves results for each student. If
you would like to purchase both the physical text and MyLab (R)
Math, search for: 9780135732595 Calculus: A Complete Course, 10th
Edition plus MyLab Math with Pearson eText -- Access Card Package
Package consists of: 9780135732588 Calculus: A Complete Course,
10th Edition 9780135732526 Calculus: A Complete Course, 10th
Edition MyLab (R) Math -- Standalone Access Card MyLab (R) Math is
not included. Students, if MyLab is a recommended/mandatory
component of the course, please ask your instructor for the correct
ISBN. MyLab should only be purchased when required by an
instructor. Instructors, contact your Pearson representative for
more information.
Mortgage Backed Securities (MBS) are among the most complex of all
financial instruments. Analysis of MBS requires blending empirical
analysis of borrower behavior with mathematical modeling of
interest rates and home prices. Over the past 25 years, Davidson
and Levin have been at the leading edge of MBS valuation and risk
analysis. Mortgage Valuation Models: Embedded Options, Risk and
Uncertainty is a detailed description of the sophisticated theories
and advanced methods that the authors employ in real-world analysis
of mortgage backed securities. Issues such as complexity, borrower
options, uncertainty, and model risk play a central role in their
approach to valuation of MBS. The book describes methods for
modeling prepayments and defaults of borrowers. It explores closed
form, backward induction and Monte Carlo valuation using the
Option-Adjusted-Spread (OAS) approach, explains the origin of OAS
and its relationship to model uncertainty. With reference to the
classical CAPM and APT, the book advocates extending the concept of
risk-neutrality to modeling home prices and borrower options, well
beyond interest rates. The coverage spans the range of mortgage
products from loans, TBA (to be announced) pass-through securities
to subordinate tranches of subprime-mortgage securitizations and
describes valuation methods for both agency and non-agency MBS
including pricing new loans; Davidson and Levin put forth new
approaches to prudent risk measurement, ranking, and decomposition
that can help guide traders and risk managers. It reveals
quantitative causes of the 2007-09 financial crisis and provides
insights into the future of the US housing finance system and
mortgage modeling. Despite the advances in mortgage modeling and
valuation, this remains an ever-evolving field. Mortgage Valuation
Models will serve as a foundation for the future development of
models for mortgage-backed securities.
Ancient Greek Philosophy routinely relied upon concepts of number
to explain the tangible order of the universe. Plotinus'
contribution to this tradition, however, has been often omitted, if
not ignored. The main reason for this, at first glance, is the
Plotinus does not treat the subject of number in the Enneads as
pervasively as the Neopythagoreans or even his own successors
Lamblichus, Syrianus, and Proclus. Nevertheless, a close
examination of the Enneads reveals that Plotinus systematically
discusses number in relation to each of his underlying principles
of existence--the One, Intellect, and Soul. Plotinus on Number
offers the first comprehensive analysis of Plotinus' concept of
number, beginning with its origins in Plato and the Neopythagoreans
and ending with its influence on Porphyry's arrangement of the
Enneads. It's main argument is that Plotinus adapts Plato's and the
Neopythagoreans' cosmology to place number in the foundation of the
intelligible realm and in the construction of the universe. Through
Plotinus' defense of Plato's Ideal Numbers from Aristotle's
criticism, Svetla Slaveva-Griffin reveals the founder of
Neoplatonism as the first post-Platonic philosopher who
purposefully and systematically develops what we may call a theory
of number, distinguishing between number in the intelligible realm
and number in the quantitative, mathematical realm. Finally, the
book draws attention to Plotinus' concept as a necesscary and
fundamental linke between Platonic and late Neoplatonic schools of
philosophy.
Generalized Method of Moments (GMM) has become one of the main
statistical tools for the analysis of economic and financial data.
This book is the first to provide an intuitive introduction to the
method combined with a unified treatment of GMM statistical theory
and a survey of recent important developments in the field.
Providing a comprehensive treatment of GMM estimation and
inference, it is designed as a resource for both the theory and
practice of GMM: it discusses and proves formally all the main
statistical results, and illustrates all inference techniques using
empirical examples in macroeconomics and finance. Building from the
instrumental variables estimator in static linear models, it
presents the asymptotic statistical theory of GMM in nonlinear
dynamic models. Within this framework it covers classical results
on estimation and inference techniques, such as the overidentifying
restrictions test and tests of structural stability, and reviews
the finite sample performance of these inference methods. And it
discusses in detail recent developments on covariance matrix
estimation, the impact of model misspecification, moment selection,
the use of the bootstrap, and weak instrument asymptotics.
Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.
Please note that this Floris Books edition has been revised for UK
and European notation, language and metric systems. From the early
peoples who marvelled at the geometry of nature -- the beehive and
bird's nest -- to ancient civilisations who questioned beautiful
geometric forms and asked 'why?', the story of geometry spans
thousands of years. Using only three simple tools -- the string,
the straight-edge and the shadow -- human beings revealed the basic
principles and constructions of elementary geometry. Weaving
history and legend, this fascinating book reconstructs the
discoveries of mathematics's most famous figures. Through
illustrations and diagrams, readers are able to follow the
reasoning that lead to an ingenious proof of the Pythagorean
theorem, an appreciation of the significance of the Golden Mean in
art and architecture, or the construction of the five regular
solids. This insightful and engaging book makes geometry accessible
to everyone. Readers will be fascinated with how the knowledge and
wisdom of so many cultures helped shape our civilisation today.
String, Straight-edge and Shadow is also a useful and inspiring
book for those teaching geometry in Steiner-Waldorf classrooms.
Beginning with a review of the important areas of mathematics, this
book then covers many of the underlying theoretical and practical
aspects of NMR and MRI spectroscopy from a maths point of view.
Competence in algebra and introductory calculus is needed but all
other maths concepts are covered. It will bridge a gap between high
level and introductory titles used in NMR or MRI spectroscopy.
Uniquely, it takes a very careful and pedagogical approach to the
mathematics behind NMR and MRI. It leaves out very few steps, which
distinguishes it from other books in the field. The author is an
NMR laboratory manager and is sympathetic to the frustrations of
trying to understand where some of the fundamental equations come
from hence his desire to either explicitly derive all equations for
the reader or direct them to derivations. This is an essential text
aimed at graduate students who are beginning their careers in NMR
or MRI spectroscopy and laboratory managers if they need an
understanding of the theoretical foundations of the technique.
The UK's most trusted A level Mathematics resources With over
900,000 copies sold (plus 1.3 million copies sold of the previous
edition), Pearson's own resources for Pearson Edexcel are the
market-leading and most trusted for AS and A level Mathematics.
This book covers all the content needed for the optional Edexcel AS
and A level Decision Mathematics 1 exams Enhanced focus on
problem-solving and modelling, as well as supporting the large data
set and calculators Packed with worked examples with guidance, lots
of exam-style questions, practice papers, and plenty of mixed and
review exercises Full worked solutions to every question available
free and online for quick and easy access. Plus free additional
online content with GeoGebra interactives and Casio calculator
tutorials Practice books also available offering the most
comprehensive and flexible AS/A level Maths practice with over 2000
extra questions Includes access to an online digital edition (valid
for 3 years once activated) Pearson Edexcel AS and A level Further
Mathematics Decision Mathematics 1 Textbook + e-book matches the
Pearson Edexcel exam structure and is fully integrated with Pearson
Edexcel's interactive scheme of work. All of the books in this
series focus on problem-solving and modelling, as well as
supporting the large data set and calculators. They are packed with
worked examples with guidance, lots of exam-style questions,
practice papers, and plenty of mixed and review exercises. There
are full worked solutions to every question available free and
online for quick and easy access. You will also have access to lots
of free additional online content with GeoGebra interactives and
Casio calculator tutorials. There are separate Pure and Applied
textbooks for AS and A level Maths, and a textbook per option for
AS and A level Further Maths. Practice books are also available
offering the most comprehensive and flexible AS/A level Maths
practice with over 2000 extra questions. Pearson's revision
resources are the smart choice for those revising for Pearson
Edexcel AS and A level Mathematics - there is a Revision Workbook
for exam practice and a Revision Guide for classroom and
independent study. Practice Papers Plus+ books contain additional
full length practice papers, so you can practice answering
questions by writing straight into the book and perfect your
responses with targeted hints, guidance and support for every
question, including fully worked solutions.
Finite Element Analysis Applications: A Systematic and Practical
Approach strikes a solid balance between more traditional FEA
textbooks that focus primarily on theory, and the software specific
guidebooks that help teach students and professionals how to use
particular FEA software packages without providing the theoretical
foundation. In this new textbook, Professor Bi condenses the
introduction of theories and focuses mainly on essentials that
students need to understand FEA models. The book is organized to be
application-oriented, covering FEA modeling theory and skills
directly associated with activities involved in design processes.
Discussion of classic FEA elements (such as truss, beam and frame)
is limited. Via the use of several case studies, the book provides
easy-to-follow guidance on modeling of different design problems.
It uses SolidWorks simulation as the platform so that students do
not need to waste time creating geometries for FEA modelling.
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I. C. S. Reference Library: Types of Marine Boilers, Marine-Boiler Details, Marine-Boiler Accessories, Firing, Economic Combustion, Marine-Boiler Feeding, Marine-Boiler Management, Marine-Boiler Repairs, Marine-Boiler Inspection, Propulsion of Vessels, Re
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Features: key points guided practice – context-free
‘no-stabilisers’ practice – context-free ‘step into AS’
taster questions don’t forget’ – key reminders context-free,
exam-type practice self-assessment record complete practice paper
Developed for the new International A Level specification, these
new resources are specifically designed for international students,
with a strong focus on progression, recognition and transferable
skills, allowing learning in a local context to a global standard.
Recognised by universities worldwide and fully comparable to UK
reformed GCE A levels. Supports a modular approach, in line with
the specification. Appropriate international content puts learning
in a real-world context, to a global standard, making it engaging
and relevant for all learners. Reviewed by a language specialist to
ensure materials are written in a clear and accessible style. The
embedded transferable skills, needed for progression to higher
education and employment, are signposted so students understand
what skills they are developing and therefore go on to use these
skills more effectively in the future. Exam practice provides
opportunities to assess understanding and progress, so students can
make the best progress they can.
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