Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems.
It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher.
Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures are introduced before real world situations, practicals and problem solving demonstrate how the theory is applied.
Focusing on learning through practice, it contains examples, supported by 1,600 worked problems and 3,000 further problems contained within exercises throughout the text. In addition, 34 revision tests are included at regular intervals.
An interactive companion website is also provided containing 2,750 further problems with worked solutions and instructor materials
In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and computational methods responsible for much of the interest and importance of this subject.
Beginning with a discussion of Euclidean space and linear mappings, Professor Edwards (University of Georgia) follows with a thorough and detailed exposition of multivariable differential and integral calculus. Among the topics covered are the basics of single-variable differential calculus generalized to higher dimensions, the use of approximation methods to treat the fundamental existence theorems of multivariable calculus, iterated integrals and change of variable, improper multiple integrals and a comprehensive discussion, from the viewpoint of differential forms, of the classical material associated with line and surface integrals, Stokes' theorem, and vector analysis. The author closes with a modern treatment of some venerable problems of the calculus of variations.
Intended for students who have completed a standard introductory calculus sequence, the book includes many hundreds of carefully chosen examples, problems, and figures. Indeed, the author has devoted a great deal of attention to the 430 problems, mainly concrete computational ones, that will reward students who solve them with a rich intuitive and conceptual grasp of the material.
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.
Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.
This book contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations. The text is still under development. It is alternately titled 'Advanced Mathematical Methods for Scientists and Engineers'.
An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems. Based on their teaching experiences, the authors offer an accessible text that emphasizes the fundamentals of discrete mathematics and its advanced topics. This text shows how to express precise ideas in clear mathematical language. Students discover the importance of discrete mathematics in describing computer science structures and problem solving. They also learn how mastering discrete mathematics will help them develop important reasoning skills that will continue to be useful throughout their careers.
This sixth edition of ‘Higher Engineering Mathematics’
covers essential mathematical material suitable
for students studying Degrees, Foundation Degrees,
Higher National Certificate and Diploma courses in
In this edition the material has been ordered into the
following twelve convenient categories: number and
algebra, geometry and trigonometry, graphs, complex
numbers, matrices and determinants, vector geometry,
differential calculus, integral calculus, differential equations,
statistics and probability, Laplace transforms and
Fourier series. New material has been added on logarithms
and exponential functions, binary, octal and
hexadecimal, vectors and methods of adding alternating
waveforms. Another feature is that a free Internet
download is available of a sample (over 1100) of the
further problems contained in the book.
Featuring over twenty new entries, International Relations: The Key Concepts, now in its second edition, is the essential guide for anyone interested in international affairs. Comprehensive and up-to-date, it introduces the most important themes in international relations in the post 9/11 era.
Key areas cover international criminal law, human rights, the developing world (the Arab League, African Union), globalization and strategic studies. New entries include:
the English School
the Digital Divide
the War on Terror
the Bush Doctrine
the International Criminal Court
the Organization of Petroleum-Exporting Countries (OPEC).
Featuring suggestions for further reading as well as a unique guide to web sites on international relations, this accessible guide is an invaluable aid to an understanding of this expanding field and is ideal for the student and non-specialist alike
Practice makes perfect—and helps deepen your understanding of calculus
1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.
Gives you a chance to practice and reinforce the skills you learn in your calculus course
Helps you refine your understanding of calculus
Practice problems with answer explanations that detail every step of every problem
The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you:
Practice problems with full explanations that reinforce knowledge
Coverage of the most up-to-date developments in your course field
In-depth review of practices and applications
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
Schaum's Outlines-Problem Solved.
This textbook differs from others in the field in that it hasbeen prepared very much with students and their needs in mind,having been classroom tested over many years. It is a true“learner’s book” made for students who require adeeper understanding of probability and statistics. Itpresents the fundamentals of the subject along with concepts ofprobabilistic modelling, and the process of model selection,verification and analysis. Furthermore, the inclusion of morethan 100 examples and 200 exercises (carefully selected from a widerange of topics), along with a solutions manual for instructors,means that this text is of real value to students and lecturers across a range of engineering disciplines.
Presents the fundamentals in probability and statistics along with relevant applications.
Explains the concept of probabilistic modelling and the process of model selection, verification and analysis.
Definitions and theorems are carefully stated and topics
Includes a chapter on regression analysis.
Covers design of experiments.
Demonstrates practical problem solving throughout the book with numerous examples and exercises purposely selected from a variety of engineering fields.
Includes an accompanying online Solutions Manual for instructors containing complete step-by-step solutions to all problems.
This preface outlines the main philosophy of the course, and serves as a guide to the
instructor. It outlines reasons for the organization of the material and why this works for introducing
first year students to the major concepts and many applications of the differential
Calculus arose as an important tool in solving practical scientific problems through
the centuries. However, in many current courses, it is taught as a technical subject with
rules and formulas (and occasionally theorems), devoid of its connection to applications.
In this course, the applications form an important focal point, with a focus on life sciences.This
places the techniques and concepts into practical context, as well as motivating
quantitative approaches to biology taught to undergraduates. While many of the examples
have a biological flavour, the level of biology needed to understand those examples is kept
at a minimum. The problems are motivated with enough detail to follow the assumptions,
but are simplified for the purpose of pedagogy.
The mathematical philosophy is as follows: We start with elementary observations
about functions and graphs, with an emphasis on power functions and polynomials. This
introduces the idea of sketching of a graph from elementary properties of the function,
before calculus is discussed. It also leads to direct biological applications that illustrate the
idea of which terms in an expression (polynomial or rational function) dominate at which
range(s) of the independent variable.
Combining extensive commentary by the authors and excerpts from original scholarship, International Relations Theory evaluates all the major theoretical perspectives that political scientists use to analyze world politics.
This unique survey/reader not only looks at classic international relations theory but takes into account changes in the world and important developments in the field. Highly regarded for its lucid and comprehensive coverage, International Relations Theory explains the role of theory in studying world politics and invites readers to critically engage the field’s many controversies.
The fully updated and revised third edition of this widely used text provides a comprehensive survey of leading perspectives in the field including an entirely new chapter on Realism by Jack Donnelly. The introduction explains the nature of theory and the reasons for studying international relations in a theoretically informed way. The nine chapters which follow--written by leading scholars in the US, the UK, Canada, Australia, and New Zealand--provide thorough examinations of each of the major approaches currently prevailing in the discipline
Book Description Softcover. Condition: New. 12th edition. Brand NEW, Paperback International Edition. Black & White or color, Cover and ISBN may be different but similar contents as US editions. Standard delivery takes 5-9 business days by USPS/DHL with tracking number. Choose expedited shipping for superfast delivery 3-5 business days by UPS/DHL/FEDEX. We also ship to PO Box addresses but by Standard delivery and shipping charges will be extra. International Edition Textbooks may bear a label -Not for sale in the U.S. or Canada- etc. printed only to discourage U.S. students from obtaining an affordable copy. Legal to use despite any disclaimer on cover as per US court. No access code or CD included unless specified. In some instances, the international textbooks may have different exercises at the end of the chapters. Printed in English. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. In case of orders from Europe, custom charges may comply by the relevant government authority and we are not liable for it. 100% Customer satisfaction guaranteed! Please feel free to contact us for any queries
In this book, Paul Sharp argues that we can identify a distinct diplomatic tradition of international thought derived from the unique position diplomats occupy between the groups in which we live. This tradition sheds new insights on big questions about international systems and societies and suggests innovative ways of handling contemporary international issues.
Diplomacy does not take place simply between states but wherever people
live in different groups. Paul Sharp argues that the demand for diplomacy,
and the need for the insights of diplomatic theory, are on the rise. In contrast
to conventional texts which use international relations theories to make
sense of what diplomacy and diplomats do, this book explores what diplomacy
and diplomats can contribute to the big theoretical and practical
debates in international relations today. Paul Sharp identifies a diplomatic
tradition of international thought premised on the way people live in
groups, the differences between intra- and inter-group relations, and the
perspectives which those who handle inter-group relations develop about
the sorts of international disputes which occur. He argues that the lessons of
diplomacy are that we should be reluctant to judge, ready to appease, and
alert to the partial grounds on which most universal claims about human
beings are made.
paul sharp is Professor and Head of Political Science at the University
of Minnesota, Duluth.
Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.
Of what use is mathematics? Hasn’t everything in mathematics already been discovered?
These are natural questions often asked by undergraduates. The answers provided
by their professors are often quite brief. Most university courses, pressed for time and
rigidly structured, offer little opportunity to present and study actual applications and
Even more high-school students ask the same questions with more insistence. Teachers
in these schools generally work under even tighter constraints than university professors.
If they are able to competently respond to these questions it is probably because
they received good answers from their teachers and professors. And if they do not have
the answers, then whose fault is it?
The genesis of this text
It is impossible to introduce this text without first discussing the course in which it
originated. The course “Mathematics and Technology” was created at the Universit´e
de Montr´eal and taught for the first time in the winter semester of 2001. It was created
after observing that most courses in the department neglect to present real applications.
Since its creation the course has been open to both undergraduate mathematics students
and future high-school teachers.
Since no appropriate text or manual for the course we envisioned existed, we were
led to write our own course notes, from which we taught. We got so caught up in
writing these notes that they quickly grew to the size of a textbook, containing much
more material than could possibly be taught in one semester. Despite the two of us
being career mathematicians, we must admit that we both knew little or nothing about
most of the applications presented in the following chapters.
The goal of the “Mathematics and Technology” course
The primary goals of the course are to demonstrate the active and evolving character of
mathematics, its omnipresence in the development of technologies, and to initiate students
into the process of modeling as a path to the development of various mathematical
Discrete Mathematics and Its Applications is intended for one or two term introductory Discrete Mathematics courses taken by students from a wide variety of majors, including Computer Science, Mathematics, and Engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a Discrete Mathematics course and demonstrates the relevance and practicality of Discrete Mathematics to a wide variety of real-world applications?from Computer Science to Data Networking, to Psychology, to Chemistry, to Engineering, to Linguistics, to Biology, to Business, and many other important fields.
McGraw-Hill Education's Connect, is also available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty