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Books > Science & Mathematics > Mathematics
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 Further Mechanics 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 Further Statistics 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.
Semihypergroup Theory is the first book devoted to the
semihypergroup theory and it includes basic results concerning
semigroup theory and algebraic hyperstructures, which represent the
most general algebraic context in which reality can be modelled.
Hyperstructures represent a natural extension of classical
algebraic structures and they were introduced in 1934 by the French
mathematician Marty. Since then, hundreds of papers have been
published on this subject.
Data Gathering, Analysis and Protection of Privacy through
Randomized Response Techniques: Qualitative and Quantitative Human
Traits tackles how to gather and analyze data relating to
stigmatizing human traits. S.L. Warner invented RRT and published
it in JASA, 1965. In the 50 years since, the subject has grown
tremendously, with continued growth. This book comprehensively
consolidates the literature to commemorate the inception of RR.
Geometric Measure Theory: A Beginner's Guide, Fifth Edition
provides the framework readers need to understand the structure of
a crystal, a soap bubble cluster, or a universe. The book is
essential to any student who wants to learn geometric measure
theory, and will appeal to researchers and mathematicians working
in the field. Brevity, clarity, and scope make this classic book an
excellent introduction to more complex ideas from geometric measure
theory and the calculus of variations for beginning graduate
students and researchers. Morgan emphasizes geometry over proofs
and technicalities, providing a fast and efficient insight into
many aspects of the subject, with new coverage to this edition
including topical coverage of the Log Convex Density Conjecture, a
major new theorem at the center of an area of mathematics that has
exploded since its appearance in Perelman's proof of the Poincare
conjecture, and new topical coverage of manifolds taking into
account all recent research advances in theory and applications.
For a physicist, "noise" is not just about sounds, but refers to
any random physical process that blurs measurements, and in so
doing stands in the way of scientific knowledge. This book deals
with the most common types of noise, their properties, and some of
their unexpected virtues. The text explains the most useful
mathematical concepts related to noise. Finally, the book aims at
making this subject more widely known and to stimulate the interest
for its study in young physicists.
The development of man's understanding of planetary motions is the
crown jewel of Newtonian mechanics. This book offers a concise but
self-contained handbook-length treatment of this historically
important topic for students at about the third-year-level of an
undergraduate physics curriculum. After opening with a review of
Kepler's three laws of planetary motion, it proceeds to analyze the
general dynamics of 'central force' orbits in spherical
coordinates, how elliptical orbits satisfy Newton's gravitational
law, and how the geometry of ellipses relates to physical
quantities, such as energy and momentum. Exercises are provided,
and derivations are set up in such a way that readers can gain
analytic practice by filling in the missing steps. A brief
bibliography lists sources for readers who wish to pursue further
study on their own.
The depth and breadth of a mathematics teacher's understanding of
mathematics matter most as the teacher engages in the daily work of
teaching. One of the major challenges to teachers is to be ready to
draw on the relevant mathematical ideas from different areas of the
school curriculum and from their postsecondary mathematics
experiences that can be helpful in explaining ideas to students,
making instructional decisions, creating examples, and engaging in
other aspects of their daily work. Being mathematically ready and
confident requires teachers to engage in ongoing professional
learning that helps them to connect mathematics to events like
those they live on a daily basis. The purpose of this volume is to
provide teachers, teacher educators, and other facilitators of
professional learning opportunities with examples of authentic
events and tools for discussing those events in professional
learning settings. The work shared in Facilitator's Guidebook for
Use of Mathematics Situations in Professional Learning (Guidebook)
resulted from a collaborative effort of school mathematics
supervisors and university mathematics educators. The collaborators
joined their varied experiences as teachers, coaches, supervisors,
teacher educators, and researchers to suggest ways to scaffold
activities, encourage discussion, and instigate reflection with
teacher-participants of differing mathematics backgrounds and with
varying teaching assignments. Each guide has ideas for engaging and
furthering mathematical thought across a range of facilitator and
participant mathematics backgrounds and draws on the collaborators'
uses of the Situations with in-service and prospective teachers.
The events and mathematical ideas connected to each event come from
Situations in Mathematical Understanding for Secondary Teaching: A
Framework and Classroom- Based Situations. A Situation is a
description of a classroom-related event and the mathematics
related to it. For each of six Situations, school and university
collaborators developed a facilitator's guide that presents ideas
and options for engaging teachers with the event and the
mathematical ideas. The Guidebook also contains suggestions for how
teachers and others might develop new Situations based on events
from their own classrooms as a form of professional learning. Both
teacher educators and school-based facilitators can use this volume
to structure sessions and inspire ideas for professional learning
activities that are rooted in the daily work of mathematics
teachers and students.
In the last years there have been great advances in the
applications of topology and differential geometry to problems in
condensed matter physics. Concepts drawn from topology and geometry
have become essential to the understanding of several phenomena in
the area. Physicists have been creative in producing models for
actual physical phenomena which realize mathematically exotic
concepts and new phases have been discovered in condensed matter in
which topology plays a leading role. An important classification
paradigm is the concept of topological order, where the state
characterizing a system does not break any symmetry, but it defines
a topological phase in the sense that certain fundamental
properties change only when the system passes through a quantum
phase transition. The main purpose of this book is to provide a
brief, self-contained introduction to some mathematical ideas and
methods from differential geometry and topology, and to show a few
applications in condensed matter. It conveys to physicists the
basis for many mathematical concepts, avoiding the detailed
formality of most textbooks.
Presently no other book deals with the stability problem of
functional equations in Banach algebras, inner product spaces and
amenable groups. Moreover, in most stability theorems for
functional equations, the completeness of the target space of the
unknown functions contained in the equation is assumed. Recently,
the question, whether the stability of a functional equation
implies this completeness, has been investigated by several
authors. In this book the authors investigate these developments in
the theory of approximate functional equations.
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