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Books > Science & Mathematics > Mathematics > General
Containing case studies and examples, the book aims to cover
extensive research particularly on surface stress and topics
related to the variational approach to the subject, and
non-standard topics such as the rigorous treatment of constraints
and a full discussion of algebraic inequalities associated with
realistic material behaviour, and their implications. Serving as an
introduction to the basic elements of Finite Elasticity, this
textbook is the cornerstone for any graduate-level on the topic,
while also providing a template for a host of theories in Solid
Mechanics.
The study of ecological systems is often impeded by components that
escape perfect observation, such as the trajectories of moving
animals or the status of plant seed banks. These hidden components
can be efficiently handled with statistical modeling by using
hidden variables, which are often called latent variables. Notably,
the hidden variables framework enables us to model an underlying
interaction structure between variables (including random effects
in regression models) and perform data clustering, which are useful
tools in the analysis of ecological data. This book provides an
introduction to hidden variables in ecology, through recent works
on statistical modeling as well as on estimation in models with
latent variables. All models are illustrated with ecological
examples involving different types of latent variables at different
scales of organization, from individuals to ecosystems. Readers
have access to the data and R codes to facilitate understanding of
the model and to adapt inference tools to their own data.
Support English language skills while improving subject content
knowledge with a comprehensive three-level lower secondary
programme specifically designed for non-native English speaking
students studying Mathematics through the medium of English. -
Benefit from a flexible programme that ensures thorough preparation
for the IGCSE and equivalent courses and is suitable as a
stand-alone course. - Engage interest with clear text, stimulating
exercises and numerous worked examples. Reinforce the material
taught within each lesson with the accompanying Workbook, providing
extra practice and homework activities. Make the most of the series
with the Teacher's Guide containing answers to the Coursebook and
Workbook exercises, guidance on delivering lessons and
methodological support.
This book introduces sonar system and acoustic channel model,
average energy channel, coherent multipath channel, the theoretical
basis for the stochastic time-varying space-variant channel, slowly
time-varying coherent multipath channel, and reverberation channel.
Based on the basic theory of underwater acoustic channels and the
various characteristics of the marine acoustic environment factor,
this textbook aims to help students understand the impact of the
marine acoustic channel on the sonar system. It helps students to
grasp underwater acoustic signal processing principles and obtain
the ability to solve practical problems in underwater acoustic
channel engineering. Finally, it aims at laying a foundation for
the further sonar system design. This textbook is recommended for
graduate or undergraduate students in the field of sonar signal
processing, underwater acoustic engineering, as well as some
related subjects of marine technology.
Collins Cambridge IGCSE (TM) Maths Student's Book - Fourth Edition
provides in-depth coverage of every aspect of the revised Cambridge
IGCSE and IGCSE (9-1) Mathematics syllabuses (0580/0980) for
examination from 2025. The resource covers the Core and Extended
syllabus. Exam Board: Cambridge Assessment International Education
For examination from: 2025 Support and challenge students with both
the Core and Extended syllabus content clearly labelled in one
book. Cover the syllabus with confidence with clear references to
what students will learn at the start of every chapter and content
fully updated for the revised syllabus and assessment. Grow
confidence working without a calculator with clearly labelled
questions and exercises. Familiarise students with a mix of
structured and unstructured questions throughout. Develop problem
solving with questions that require students to apply their skills,
often in real life, international contexts. Help students to
prepare for examination with past paper questions. Emphasise the
relevance of maths with 'Why this chapter matters' showing maths in
everyday life or historical development. Consolidate understanding
with tried and tested questions in extensive practice exercises and
detailed worked examples. Deliver a fully international course with
international examples, contexts, names, currency and locations.
Assist English as Second Language learners understand complex
mathematical terminology with clear key term definitions, gathered
in a glossary. Encourage students to check their work with answers
to all exercise questions at the back of the book. We are working
with Cambridge Assessment International Education towards
endorsement of this title.
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