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This series is designed to meet the needs of students and lecturers of the National Certificate Vocational. Features for the student include: Easy-to-understand language; Real-life examples; A key word feature for important subject terms; A dictionary feature for difficult words; A reflect-on-how-you-learn feature to explore personal learning styles; Workplace-oriented activities; and Chapter summaries that are useful for exam revision.
Now inits 7th edition, "Mathematical Methods for Physicists"
continues to provide all the mathematical methods that aspiring
scientists and engineers are likely to encounter as students and
beginning researchers. This bestselling text provides mathematical
relations and their proofs essential to the study of physics and
related fields. While retaining thekey features of the 6th edition,
the new edition provides a more careful balance of explanation,
theory, and examples. Taking a problem-solving-skills approach to
incorporating theorems with applications, the book's improved focus
will help students succeed throughout their academic careers and
well into their professions. Some notable enhancements include more
refined and focused content in important topics, improved
organization, updated notations, extensive explanations and
intuitive exercise sets, a wider range of problem solutions,
improvement in the placement, and a wider range of difficulty of
New to this edition: Improved modular chaptersNew up-to-date examplesMore intuitive explanations"
The fifth edition of "Essential MATLAB for Engineers and Scientists" provides a concise, balanced overview of MATLAB's functionality that facilitates independent learning, with coverage of both the fundamentals and applications. The essentials of MATLAB are illustrated throughout, featuring complete coverage of the software's windows and menus. Program design and algorithm development are presented clearly and intuitively, along with many examples from a wide range of familiar scientific and engineering areas.
This is an ideal book for a first course on MATLAB or for an
engineering problem-solving course using MATLAB, as well as a
self-learning tutorial for professionals and students expected to
learn and apply MATLAB.
Introduction to Optimum Design 3e describes an organized approach to engineering design optimization in a rigorous yet simplified manner. It illustrates various concepts and procedures with simple examples and demonstrates their applicability to engineering design problems. Formulation of a design problem as an optimization problem is emphasized and illustrated throughout the text. Excel and MATLAB are featured as learning and teaching aids. * Basic concepts of optimality conditions and numerical methods are described with simple and practical examples, making the material highly teachable and learnable* Includes applications of optimization methods for structural, mechanical, aerospace, and industrial engineering problems* Introduction to MATLAB Optimization Toolbox* Practical design examples introduce students to the use of optimization methods early in the book* New example problems throughout the text are enhanced with detailed illustrations* Optimum design with Excel Solver has been expanded into a full chapter* New chapter on several advanced optimum design topics serves the needs of instructors who teach more advanced courses
Unlike books currently on the market, this book attempts to satisfy
two goals: combine circuits and electronics into a single, unified
treatment, and establish a strong connection with the contemporary
world of digital systems. It will introduce a new way of looking
not only at the treatment of circuits, but also at the treatment of
introductory coursework in engineering in general.
Understanding materials, their properties and behavior is
fundamental to engineering design, and a key application of
materials science. Written for all students of engineering,
materials science and design, this book describes the procedures
for material selection in mechanical design in order to ensure that
the most suitable materials for a given application are identified
from the full range of materials and section shapes available.
Encompassing over fifty years of research, Professor Gotoh
addresses the correlation function of spatial structures and the
statistical geometry of random particle assemblies. In this book
morphological study is formed into random particle assemblies to
which various mathematics are applied such as correlation function,
radial distribution function and statistical geometry. This leads
to the general comparison between the thermodynamic state such as
gases and liquids and the random particle assemblies. Although
structures of molecular configurations change at every moment due
to thermal vibration, liquids can be regarded as random packing of
particles. Similarly, gaseous states correspond to particle
dispersion. If physical and chemical properties are taken away from
the subject, the remainder is the structure itself. Hence, the
structural study is ubiquitous and of fundamental importance. This
book will prove useful to chemical engineers working on powder
technology as well as mathematicians interested in learning more
about the subject.
Hirsch, Devaney, and Smale s classic "Differential Equations,
Dynamical Systems, and an Introduction to Chaos" has been used by
professors as the primary text for undergraduate and graduate level
courses covering differential equations. It provides a theoretical
approach to dynamical systems and chaos written for a diverse
student population among the fields of mathematics, science, and
engineering. Prominent experts provide everything students need to
know about dynamical systems as students seek to develop sufficient
mathematical skills to analyze the types of differential equations
that arise in their area of study. The authors provide rigorous
exercises and examples clearly and easily by slowly introducing
linear systems of differential equations. Calculus is required as
specialized advanced topics not usually found in elementary
differential equations courses are included, such as exploring the
world of discrete dynamical systems and describing chaotic
A collection of problems and solutions in real analysis based on
the major textbook, "Principles of Real Analysis" (also by
Aliprantis and Burkinshaw), "Problems in Real Analysis" is the
ideal companion for senior science and engineering undergraduates
and first-year graduate courses in real analysis. It is intended
for use as an independent source, and is an invaluable tool for
students who wish to develop a deep understanding and proficiency
in the use of integration methods.
This book is an exposition of "semi-Riemannian geometry" (also called "pseudo-Riemannian geometry")--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
Widely adopted around the world, "Engineering Materials 1" is a core materials science and engineering text for third- and fourth-year undergraduate students; it provides a broad introduction to the mechanical and environmental properties of materials used in a wide range of engineering applications. The text is deliberately concise, with each chapter designed to cover the content of one lecture. As in previous editions, chapters are arranged in groups dealing with particular classes of properties, each group covering property definitions, measurement, underlying principles, and materials selection techniques. Every group concludes with a chapter of case studies that demonstrate practical engineering problems involving materials.
"Engineering Materials 1, Fourth Edition" is perfect as a
stand-alone text for a one-semester course in engineering materials
or a first text with its companion "Engineering Materials 2: An
Introduction to Microstructures and Processing, " in a two-semester
course or sequence.
New and Key Features Include:
Many new design case studies and design-based examplesRevised and expanded treatments of stress-strain, fatigue, creep, and corrosionAdditional worked examples-to consolidate, develop, and challengeCompendia of results for elastic beams, plastic moments, and stress intensity factorsMany new photographs and links to Google Earth, websites, and video clipsAccompanying companion site with access to instructors resources, including a suite of interactive materials science tutorials, a solutions manual, and an image bank of figures from the book"
Provides mathematical tools and techniques used to solve problems in physics. This work covers the mathematics necessary for advanced study in physics and engineering. It includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.
Addressing the growing global concern for sustainable
engineering, "Materials and the Environment, 2e"is the only book
devoted exclusively to the environmental aspects of materials. It
explains the ways in which we depend on and use materials and the
consequences these have, and it introduces methods for thinking
about and designing with materials within the context of minimizing
environmental impact. Along with its noted in-depth coverage of
material consumption, the material life-cycle, selection
strategies, and legislative aspects, the second edition includes
new case studies, important new chapters on Materials for Low
Carbon Powerand Material Efficiency, all illustrated by in-text
examples and expanded exercises. This book is intended for
instructors and students as well as materials engineers and product
designers who need to consider the environmental implications of
materials in their designs.
New to this edition
New chapter of Case Studies of Eco-audits illustrating the rapid audit methodNew chapter on Materials for Low Carbon Power examines the consequences for materials supply of a major shift from fossil-fuel based power to power from renewablesNew chapter exploring Material Efficiency, or design and management for manufacture to provide the services we need with the least production of materialsRecent news-clips from the world press that help place materials issues into a broader context.are incorporated into all chaptersEnd-of-chapterexercises have been greatly expandedThe datasheets of Chapter 15 have been updated and expanded to include natural and man-made fibers
Sobolev Spaces presents an introduction to the theory of Sobolev
Spaces and other related spaces of function, also to the imbedding
characteristics of these spaces. This theory is widely used in pure
and Applied Mathematics and in the Physical Sciences.
What would you like to do with your life? What career would allow you to fulfill your dreams of success? If you like mathematics-and the prospect of a highly mobile, international profession-consider becoming an actuary.
Szabo s "Actuaries Survival Guide, Second Edition" explains what
actuaries are, what they do, and where they do it. It describes
exciting combinations of ideas, techniques, and skills involved in
the day-to-day work of actuaries. This second edition has been
updated to reflect the rise of social networking and the internet,
the progress toward a global knowledge-based economy, and the
global expansion of the actuarial field that has occurred since the
This English version of the path-breaking French book on this
subject gives the definitive treatment of the revolutionary
approach to measure theory, geometry, and mathematical physics
developed by Alain Connes. Profusely illustrated and invitingly
written, this book is ideal for anyone who wants to know what
noncommutative geometry is, what it can do, or how it can be used
in various areas of mathematics, quantization, and elementary
particles and fields.
"Engineering Materials 2" is one of the leading self-contained texts for more advanced students of materials science and mechanical engineering. The book provides a concise introduction to the microstructures and processing of materials and shows how these are related to the properties required in engineering design. As with previous editions, each chapter is designed to provide the content of one 50-minute lecture. The fourth edition has been updated to include new case studies, more worked examples, links to relevant websites and video clips. Other changes include an increased emphasis on the relationship between structure, processing and properties, and integration of the popular tutorial on phase diagrams into the main text.
"Engineering Materials 2, Fourth Edition" is perfect as a
stand-alone text for an advanced course in engineering materials or
a second text with its companion "Engineering Materials 1: An
Introduction to Properties, Applications, and Design, Fourth
Edition" in a two-semester course or sequence.
Algorithmic Graph Theory and Perfect Graphs, first published in
1980, has become the classic introduction to the field. This new
Annals edition continues to convey the message that intersection
graph models are a necessary and important tool for solving
real-world problems. It remains a stepping stone from which the
reader may embark on one of many fascinating research trails.
A Mathematical Introduction to Logic, Second Edition, offers
increased flexibility with topic coverage, allowing for choice in
how to utilize the textbook in a course. The author has made this
edition more accessible to better meet the needs of today's
undergraduate mathematics and philosophy students. It is intended
for the reader who has not studied logic previously, but who has
some experience in mathematical reasoning. Material is presented on
computer science issues such as computational complexity and
database queries, with additional coverage of introductory material
such as sets.
Optimal control theory has numerous applications in both science and engineering.
This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.
In addition to including well recognized results of variational
analysis and optimization, the book includes a number of new and
This book is a landmark title in the continuous move from integer
to non-integer in mathematics: from integer numbers to real
numbers, from factorials to the gamma function, from integer-order
models to models of an arbitrary order. For historical reasons, the
word 'fractional' is used instead of the word 'arbitrary'.
The second edition of "A Course in Real Analysis" provides a
solid foundation of real analysis concepts and principles,
presenting a broad range of topics in a clear and concise manner.
The book is excellent at balancing theory and applications with a
wealth of examples and exercises. The authors take a progressive
approach of skill building to help students learn to absorb the
abstract. Real world applications, probability theory, harmonic
analysis, and dynamical systems theory are included, offering
considerable flexibility in the choice of material to cover in the
classroom. The accessible exposition not only helps students master
real analysis, but also makes the book useful as a reference.
The second edition of this text has sold over 6,000 copies since
publication in 1986 and this revision will make it even more
useful. This is the only book available that is approachable by
"beginners" in this subject. It has become an essential
introduction to the subject for mathematics students, engineers,
physicists, and economists who need to learn how to apply these
vital methods. It is also the only book that thoroughly reviews
certain areas of advanced calculus that are necessary to understand
Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.
The new edition of "Mathematical Modeling," the survey text of choice for mathematical modeling courses, adds ample instructor support and online delivery for solutions manuals and software ancillaries.
From genetic engineering to hurricane prediction, mathematical
models guide much of the decision making in our society. If the
assumptions and methods underlying the modeling are flawed, the
outcome can be disastrously poor. With mathematical modeling
growing rapidly in so many scientific and technical disciplines,
"Mathematical Modeling, Fourth Edition" provides a rigorous
treatment of the subject. The book explores a range of approaches
including optimization models, dynamic models and probability
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