Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems, stressing concepts and minimizing technicalities. An elementary presentation of advanced concepts from the mathematical theory of optimal control is provided, giving readers the tools to solve significant and realistic problems. Proofs are also given whenever they may serve as a guide to the introduction of new concepts. This approach not only fosters an understanding of how control theory can open up modeling in areas such as the life sciences, medicine, and economics, but also guides readers from applications to new, independent research.
Key features include:
* An introduction to the main tools of MATLAB®, as well as programs that move from relatively simple ODE applications to more complex PDE models;
* Numerous applications to a wide range of subjects, including HIV and insulin treatments, population dynamics, and stock management;
* Exploration of cutting-edge topics in later chapters, such as optimal harvesting and optimal control of diffusive models, designed to stimulate further research and theses projects;
* Exercises in each chapter, allowing students a chance to work with MATLAB and achieve a better grasp of the applications;
* Minimal prerequisites: undergraduate-level calculus;
* Appendices with basic concepts and results from functional analysis and ordinary differential equations, including Runge–Kutta methods;
* Supplementary MATLAB files are available at the publisher’s website: http://www.birkhauser-science.com/978-0-8176-8097-8/.
As a guided tour to methods in optimal control and related computational methods for ODE and PDE models, An Introduction to Optimal Control Problems in Life Sciences and Economics serves as an excellent textbook for graduate and advanced undergraduate courses in mathematics, physics, engineering, computer science, biology, biotechnology, and economics. The work is also a useful reference for researchers and practitioners working with optimal control theory in these areas.
The biannual Conference of ECMI (the European Consortium of Mathematics in Industry) held in 2014 focused on various aspects of industrial and applied mathematics. The five main topics addressed at the conference were mathematical models in life science, material science and semiconductors, mathematical methods in the environment, design automation and industrial applications, and computational finance. Several other topics have been treated, such as, among others, optimization and inverse problems, education, numerical methods for stiff pdes, model reduction, imaging processing, multi physics simulation, mathematical models in textile industry. The conference, which brought together applied mathematicians and experts from industry, provided a unique opportunity to exchange ideas, problems and methodologies, bridging the gap between mathematics and industry and contributing to the advancement of science and technology. The conference has included a presentation of EU-Maths-In (European Network of Mathematics for Industry and Innovation), a recent joint initiative of ECMI and EMS.
The proceedings from this conference represent a snapshot of the current activity in industrial mathematics in Europe, and are highly relevant to anybody interested in the latest applications of mathematics to industrial problems.
Brad Stone enjoyed unprecedented access to current and former Amazon employees and Bezos family members, and his book is the first in-depth, fly-on-the-wall account of life at Amazon. The Everything Store is the book that the business world can't stop talking about, the revealing, definitive biography of the company that placed one of the first and largest bets on the Internet and forever changed the way we shop and read.
Anyone can learn to invest wisely with this bestselling investment system!
Through every type of market, William J. O’Neil’s national bestseller, How to Make Money in Stocks, has shown over 2 million investors the secrets to building wealth. O’Neil’s powerful CAN SLIM® Investing System—a proven 7-step process for minimizing risk and maximizing gains—has influenced generations of investors.
Based on a major study of market winners from 1880 to 2009, this expanded edition gives you:Proven techniques for finding winning stocks before they make big price gains Tips on picking the best stocks, mutual funds, and ETFs to maximize your gains 100 new charts to help you spot today’s most profitable trends
PLUS strategies to help you avoid the 21 most common investor mistakes!
“I dedicated the 2004 Stock Trader’s Almanac to Bill O’Neil: ‘His foresight, innovation, and disciplined approach to stock market investing will influence investors and traders for generations to come.’”
—Yale Hirsch, publisher and editor, Stock Trader’s Almanac and author of Let’s Change the World Inc.
“Investor’s Business Daily has provided a quarter-century of great financial journalism and investing strategies.”
—David Callaway, editor-in-chief, MarketWatch
“How to Make Money in Stocks is a classic. Any investor serious about making money in the market ought to read it.”
—Larry Kudlow, host, CNBC’s "The Kudlow Report"
“With relatively little effort, you can design and assemble an investment portfolio that, because of its wide diversification and minimal expenses, will prove superior to the most professionally managed accounts. Great intelligence and good luck are not required.”
William Bernstein’s commonsense approach to portfolio construction has served investors well during the past turbulent decade—and it’s what made The Four Pillars of Investing an instant classic when it was first published nearly a decade ago.
This down-to-earth book lays out in easy-to-understand prose the four essential topics that every investor must master: the relationship of risk and reward, the history of the market, the psychology of the investor and the market, and the folly of taking financial advice from investment salespeople.
Bernstein pulls back the curtain to reveal what really goes on in today’s financial industry as he outlines a simple program for building wealth while controlling risk. Straightforward in its presentation and generous in its real-life examples, The Four Pillars of Investing presents a no-nonsense discussion of:The art and science of mixing different asset classes into an effective blend The dangers of actively picking stocks, as opposed to investing in the whole market Behavioral finance and how state of mind can adversely affect decision making Reasons the mutual fund and brokerage industries, rather than your partners, are often your most direct competitors Strategies for managing all of your assets—savings, 401(k)s, home equity—as one portfolio
Investing is not a destination. It is a journey, and along the way are stockbrokers, journalists, and mutual fund companies whose interests are diametrically opposed to yours.
More relevant today than ever, The Four Pillars of Investing shows you how to determine your own financial direction and assemble an investment program with the sole goal of building long-term wealth for you and your family.
An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and theSecond Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB® An appendix that contains proofs of various theorems and other material
Flexibility, says Simchi-Levi, is the single most important capability that allows firms to innovate in their operations and supply chain strategies. A small investment in flexibility can achieve almost all the benefits of full flexibility. And successful companies do not all pursue the same strategies. Amazon and Wal-Mart, for example, are direct competitors but each focuses on a different market channel and provides a unique customer value proposition -- Amazon, large selection and reliable fulfillment; Wal-Mart, low prices -- that directly aligns with its operations strategy. Simchi-Levi's rules--regarding such issues as channels, price, product characteristics, value-added service, procurement strategy, and information technolog -- -transform operations and supply chain management from an undertaking based on gut feeling and anecdotes to a science.
The author can awaken for you a faculty which is surprisingly dormant in accountants, engineers, scientists, businesspeople, and others who work with figures. This is "number sense" — or the ability to recognize relations between numbers considered as whole quantities. Lack of this number sense makes it entirely possible for a scientist to be proficient in higher mathematics, but to bog down in the arithmetic of everyday life.
This book teaches the necessary mathematical techniques that schools neglect to teach: Horizontal addition, left to right multiplication and division, etc. You will learn a method of multiplication so rapid that you'll be able to do products in not much more time than it would take to write the problem down on paper.
This is not a collection of tricks that work in only a very few special cases, but a serious, capably planned course of basic mathematics for self-instruction. It contains over 9,000 short problems and their solutions for you to work during spare moments. Five or ten minutes spent daily on this book will, within ten weeks, give you a number sense that will double or triple your calculation speed.
Make the Right Choice - Enhance Your Ethical Decision Making Skills Today!
Ethical issues arise in all walks of life, but none have implications as far-reaching and serious as those related to public management. Most people working in the public sector want to do the "right" thing, but the issues can be highly complex or just not lend themselves to easy answers. Practical Ethics in Public Administration, Third Edition, provides the tools, techniques, and methods needed to help meet these challenges. This completely updated third edition provides public sector professionals the information they need to face the ethical issues that arise in the course of a day’s work, address those issues with greater self-assurance, perform their duties in an ethically justifiable manner, and explain their actions reasonably.
This new edition:Covers emerging ethical issues surrounding public-private partnershipsExamines the shift from compliance-based to integrity-based ethics programsExplores the context of moral competency
Contents The Real World • Ethics in the Public Sector/Ethics in the Private Sector • What Is Ethics, Anyway? • Raising the Right Questions: Ethical Approaches to Five Important Cases • The Real World Revisited • Who Am I? Who Do I Want to Be? What Do I Want? • Making Choices • Problems That Might Arise and How to Analyze Them • Developing an Ethical Style: How Would You Analyze Problems That Might Arise? • Addressing Public Ethical Conflict by Means of the Unified Ethic • Leadership Development and Moral Agency in Contemporary Governance • Perspectives on Contemporary Reform: Reinventing Government and the New Public Management • Ethics, Quality, and Performance • Ethical Dilemmas in Hybridization and Outsourcing • The Competent Moral Agent • Wrap-Up and Key Points
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math": groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying "new math" leads toward a genuine comprehension of the nature of mathematics itself.
With many detailed examples from companies that have put time-based strategies in place, such as Federal Express, Ford, Milliken, Honda, Deere, Toyota, Sun Microsystems, Wal-Mart, Citicorp, Harley-Davidson, and Mitsubishi, the authors describe exactly how reducing elapsed time can make the critical difference between success and failure. Give customers what they want when they want it, or the competition will. Time-based companies are offering greater varieties of products and services, at lower costs, and with quicker delivery times than their more pedestrian competitors. Moreover, the authors show that by refocusing their organizations on responsiveness, companies are discovering that long-held assumptions about the behavior of costs and customers are not true: Costs do not increase when lead times are reduced; they decline. Costs do not increase with greater investment in quality; they decrease. Costs do not go up when product variety is increased and response time is decreased; they go down. And contrary to a commonly held belief that customer demand would be only marginally improved by expanded product choice and better responsiveness, the authors show that the actual results have been an explosion in the demand for the product or service of a time-sensitive competitor, in most cases catapulting it into the most profitable segments of its markets.
With persuasive evidence, Stalk and Hout document that time consumption, like cost, is quantifiable and therefore manageable. Today's new-generation companies recognize time as the fourth dimension of competitiveness and, as a result, operate with flexible manufacturing and rapid-response systems, and place extraordinary emphasis on R&D and innovation. Factories are close to the customers they serve. Organizations are structured to produce fast responses rather than low costs and control. Companies concentrate on reducing if not eliminating delays and using their response advantage to attract the most profitable customers.
Stalk and Hout conclude that virtually all businesses can use time as a competitive weapon. In industry after industry, they illustrate the processes involved in becoming a time-based competitor and the ways managers can open and sustain a significant advantage over the competition.
This accessible guide bridges the gap between being a project manager and becoming a globally recognized Project Management Professional (PMP). Covering the latest PMP exam content from the Project Management Institute (PMI), the book explains PMI's worldwide standard methods, nine knowledge areas, and 42 processes. You'll learn proven strategies for improving project efficiency and effectiveness, balancing constraints, communicating timely and accurate project status, and successfully bringing a project to completion. A real-world case study that's followed throughout the book provides helpful examples, checklists, and proven project results.
Designed for Easy Learning:Key Skills & Concepts--Chapter-opening lists of specific skills covered in the chapter Ask the Expert--Q&A sections filled with bonus information and helpful tips Try This--Hands-on exercises that show you how to apply your skills Notes--Extra information related to the topic being covered Tips--Helpful reminders to help you prepare for the PMP exam
This book will help you:Become a contributor on a data science team Deploy a structured lifecycle approach to data analytics problems Apply appropriate analytic techniques and tools to analyzing big data Learn how to tell a compelling story with data to drive business action Prepare for EMC Proven Professional Data Science Certification
Corresponding data sets are available at www.wiley.com/go/9781118876138.
Get started discovering, analyzing, visualizing, and presenting data in a meaningful way today!
The Goal: A Process of Ongoing Improvement by Eliyahu Goldratt and Jeff Cox describes a process by which an unprofitable manufacturing operation can be made profitable. It conveys proven factory turnaround principles through a fictional story…
PLEASE NOTE: This is key takeaways and analysis of the book and NOT the original book.
Inside this Instaread of The Goal:Overview of the bookImportant PeopleKey TakeawaysAnalysis of Key Takeaways
Students taking MBA, MSc and MBM classes on operations management, advanced operations management, and strategic operations management will find this textbook fulfills all their requirements whilst advanced undergraduate classes in these areas will also find the book an essential read.
“Artfully envisions a breathtakingly better world.” —Los Angeles Times
“Elaborate, smart and persuasive.” —The Boston Globe
“A pleasure to read.” —The Wall Street Journal
One of CBS News’s Best Fall Books of 2005 • Among St Louis Post-Dispatch’s Best Nonfiction Books of 2005 • One of Amazon.com’s Best Science Books of 2005
A radical and optimistic view of the future course of human development from the bestselling author of How to Create a Mind and The Age of Spiritual Machines who Bill Gates calls “the best person I know at predicting the future of artificial intelligence”
For over three decades, Ray Kurzweil has been one of the most respected and provocative advocates of the role of technology in our future. In his classic The Age of Spiritual Machines, he argued that computers would soon rival the full range of human intelligence at its best. Now he examines the next step in this inexorable evolutionary process: the union of human and machine, in which the knowledge and skills embedded in our brains will be combined with the vastly greater capacity, speed, and knowledge-sharing ability of our creations.
From the Trade Paperback edition.
Artificial Intelligence helps choose what books you buy, what movies you see, and even who you date. It puts the "smart" in your smartphone and soon it will drive your car. It makes most of the trades on Wall Street, and controls vital energy, water, and transportation infrastructure. But Artificial Intelligence can also threaten our existence.
In as little as a decade, AI could match and then surpass human intelligence. Corporations and government agencies are pouring billions into achieving AI's Holy Grail—human-level intelligence. Once AI has attained it, scientists argue, it will have survival drives much like our own. We may be forced to compete with a rival more cunning, more powerful, and more alien than we can imagine.
Through profiles of tech visionaries, industry watchdogs, and groundbreaking AI systems, Our Final Invention explores the perils of the heedless pursuit of advanced AI. Until now, human intelligence has had no rival. Can we coexist with beings whose intelligence dwarfs our own? And will they allow us to?
Ray Kurzweil is arguably today’s most influential—and often controversial—futurist. In How to Create a Mind, Kurzweil presents a provocative exploration of the most important project in human-machine civilization—reverse engineering the brain to understand precisely how it works and using that knowledge to create even more intelligent machines.
Kurzweil discusses how the brain functions, how the mind emerges from the brain, and the implications of vastly increasing the powers of our intelligence in addressing the world’s problems. He thoughtfully examines emotional and moral intelligence and the origins of consciousness and envisions the radical possibilities of our merging with the intelligent technology we are creating.
Certain to be one of the most widely discussed and debated science books of the year, How to Create a Mind is sure to take its place alongside Kurzweil’s previous classics which include Fantastic Voyage: Live Long Enough to Live Forever and The Age of Spiritual Machines.
From the Hardcover edition.
Collectively, the chapters in this book address application domains including inpatient and outpatient services, public health networks, supply chain management, and resource constrained settings in developing countries. Many of the chapters provide specific examples or case studies illustrating the applications of operations research methods across the globe, including Africa, Australia, Belgium, Canada, the United Kingdom, and the United States.
Chapters 1-4 review operations research methods that are most commonly applied to health care operations management including: queuing, simulation, and mathematical programming. Chapters 5-7 address challenges related to inpatient services in hospitals such as surgery, intensive care units, and hospital wards. Chapters 8-10 cover outpatient services, the fastest growing part of many health systems, and describe operations research models for primary and specialty care services, and how to plan for patient no-shows. Chapters 12 – 16 cover topics related to the broader integration of health services in the context of public health, including optimizing the location of emergency vehicles, planning for mass vaccination events, and the coordination among different parts of a health system. Chapters 17-18 address supply chain management within hospitals, with a focus on pharmaceutical supply management, and the challenges of managing inventory for nursing units. Finally, Chapters 19-20 provide examples of important and emerging research in the realm of humanitarian logistics.
Meyer argues that fast cycle time is achieved not by working faster, but by aligning the organization's purpose, strategy and structure. He demonstrates how the product development cycle must become a learning laboratory in which the four continuous elements "Design, Fabricate, Assemble, and Test" are analyzed with the intent to improve strategy in the next business cycle. Analyzing strategy and core processes enables management to detect and correct problems earlier, and leverage knowledge for improved innovation and increased value for customers.
Employing an ongoing case study, Core Products, Inc., throughout the text, Meyer shows how to redesign the organization for manufacturability and assembly, how to implement multifunctional teams that work, how to analyze and map critical cycle time interdependencies such as "co-location," and how to measure the impact of cycle time on business performance. Meyer's practical approach provides a simple methodology for organizations to deliver products to customers rapidly, accurately, and reliably.
"Chris Meyer interrelates many pieces that we have all read about in different places into a coherent guide to making it happen. Ironically, as Meyer shows, implementing fast cycle time means almost the opposite of what most American managers are inclined to do...Many years of practical experience have shown Meyer and his colleagues the wisdom of a paradox—that to speed up you often have to slow down."
—From the Foreword by Peter M. Senge
It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.
Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.
The book covers key foundation topics:
o Taylor series methods
o Runge--Kutta methods
o Linear multistep methods
and a range of modern themes:
o Adaptive stepsize selection
o Long term dynamics
o Modified equations
o Geometric integration
o Stochastic differential equations
The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Authors Dall W. Forsythe and Donald J. Boyd outline the budgeting process through a series of memos from a budget director to a newly elected governor—a format that helps readers with little or no background understand complicated financial issues. They cover all of the steps of budget preparation, from strategy to execution, explaining technical vocabulary, and discussing key topics including baseline budgeting, revenue forecasting, and gap-closing options.
Forsythe and Boyd bring fresh insights into such issues as the importance of a multiyear strategic budget plan, the impact of the business cycle on state budgets, the tactical problems of getting budgets adopted by legislatures, and, of course, the relationship between governor and budget officer. Memos to the Governor is a painless, practical introduction to budget preparation for students of and practitioners in public administration and public-sector financial management.
But how does one exactly do data science? Do you have to hire one of these priests of the dark arts, the "data scientist," to extract this gold from your data? Nope.
Data science is little more than using straight-forward steps to process raw data into actionable insight. And in Data Smart, author and data scientist John Foreman will show you how that's done within the familiar environment of a spreadsheet.
Why a spreadsheet? It's comfortable! You get to look at the data every step of the way, building confidence as you learn the tricks of the trade. Plus, spreadsheets are a vendor-neutral place to learn data science without the hype.
But don't let the Excel sheets fool you. This is a book for those serious about learning the analytic techniques, the math and the magic, behind big data.
Each chapter will cover a different technique in a spreadsheet so you can follow along:Mathematical optimization, including non-linear programming and genetic algorithms Clustering via k-means, spherical k-means, and graph modularity Data mining in graphs, such as outlier detection Supervised AI through logistic regression, ensemble models, and bag-of-words models Forecasting, seasonal adjustments, and prediction intervals through monte carlo simulation Moving from spreadsheets into the R programming language
You get your hands dirty as you work alongside John through each technique. But never fear, the topics are readily applicable and the author laces humor throughout. You'll even learn what a dead squirrel has to do with optimization modeling, which you no doubt are dying to know.
The extensively revised second edition provides further clarification of matters that typically give rise to difficulty in the classroom and restructures the chapters on logic to emphasize the role of consequence relations and higher-level rules, as well as including more exercises and solutions.
Topics and features: teaches finite mathematics as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear away confusions; provides numerous exercises, with selected solutions, to test and deepen the reader’s understanding.
This clearly-written text/reference is a must-read for first-year undergraduate students of computing. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
Want to become a more accomplished investor? All About Stocks is packed with the practical, hands-on guidance you need to choose your investments wisely, minimize your risk, and enter today's market with confidence-no matter your level of experience.
Providing concise, clear answers to your most pressing stock-market questions, this thoroughly revised edition has been updated to address such timely issues as the role of exchange-traded funds, global investing, risk-adjusted returns, and the most effective ways to conduct online research and trading.
All About Stocks explains in easy-to-understand language:What stocks are, and why you should own them How to use the Internet to develop buying and selling strategies How fundamental and technical analysis can help you find undervalued stocks What mutual funds are, how they work, and which are right for you How stocks fit within the asset allocation framework Simple strategies for assembling a high-growth, low-risk, diversified portfolio Trades to increase your safety during turbulent markets
Packed with vital information culled from the extensive For Dummies accounting, bookkeeping, and auditing libraries, Accounting All-in-One For Dummies is a powerful, one-stop reference.
Accounting All-in-One For Dummies is a comprehensive resource on a variety of accounting concepts. You’ll get up to speed on: setting up your accounting system; recording accounting transactions; adjusting and closing entries; preparing income statements and balance sheets; planning and budgeting for your business; handling cash and making purchase decisions; and more.Ways to report on your financial statements How to make savvy business decisions Auditing and detecting financial fraud
Accounting All-in-One For Dummies is a one-stop reference for students studying the application of accounting theories and a valuable desk reference for accounting professionals in the workforce.
Statistical process control is a tool, which enables both manufacturers and suppliers to achieve control of product quality by means of the application of statistical methods in the controlling process. This book gives the foundations of good quality management and process control, including an explanation of what quality is, and control of conformance and consistency during production. The text offers clear guidance and help to those unfamiliar with either quality control or statistical applications and coves all the necessary theory and techniques in a practical and non-mathematical manner. This book will be essential reading for anyone wishing to understand or implement modern statistical process control techniques.
Jeff Hawkins, the man who created the PalmPilot, Treo smart phone, and other handheld devices, has reshaped our relationship to computers. Now he stands ready to revolutionize both neuroscience and computing in one stroke, with a new understanding of intelligence itself.
Hawkins develops a powerful theory of how the human brain works, explaining why computers are not intelligent and how, based on this new theory, we can finally build intelligent machines.
The brain is not a computer, but a memory system that stores experiences in a way that reflects the true structure of the world, remembering sequences of events and their nested relationships and making predictions based on those memories. It is this memory-prediction system that forms the basis of intelligence, perception, creativity, and even consciousness.
In an engaging style that will captivate audiences from the merely curious to the professional scientist, Hawkins shows how a clear understanding of how the brain works will make it possible for us to build intelligent machines, in silicon, that will exceed our human ability in surprising ways.
Written with acclaimed science writer Sandra Blakeslee, On Intelligence promises to completely transfigure the possibilities of the technology age. It is a landmark book in its scope and clarity.
Every number in this book is identified by its "field marks," "similar species," "personality," and "associations." For example, one field mark of the number 6 is that it is the first perfect number-- the sum of its divisors (1, 2, and 3) is equal to the number itself. Thus 28, the next perfect number, is a similar species. And the fact that 6 can easily be broken into 2 and 3 is part of its personality, a trait that is helpful when large numbers are being either multiplied or divided by 6. Associations with 6 include its relationship to the radius of a circle. In addition to such classifications, special attention is paid to dozens of other fascinating numbers, including zero, pi, 10 to the 76th power (the number of particles in the universe), transfinite and other exceptionally larger numbers, and the concept of infinity.
Ideal for beginners but organized to appeal to the mathematically literate, The Kingdom of Infinite Number will not only add to readers' enjoyment of mathematics, but to their problem-solving abilities as well.
This concise and easy-to-read textbook/reference presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations.
Topics and features: thoroughly describes the essential concepts of analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives and antiderivatives, definite integrals and double integrals, and curves; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text, together with a list of relevant textbooks and references for further reading; supplementary software can be downloaded from the book’s webpage at www.springer.com.
This textbook is essential for undergraduate students in Computer Science. Written to specifically address the needs of computer scientists and researchers, it will also serve professionals looking to bolster their knowledge in such fundamentals extremely well.
The second edition adds a discussion of vector auto-regressive, structural vector auto-regressive, and structural vector error-correction models. To analyze the interactions between the investigated variables, further impulse response function and forecast error variance decompositions are introduced as well as forecasting. The author explains how these model types relate to each other.
methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and
methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.
As a result, the book represents a blend of new methods in general computational analysis,
and specific, but also generic, techniques for study of systems theory ant its particular
branches, such as optimal filtering and information compression.
- Best operator approximation,
- Non-Lagrange interpolation,
- Generic Karhunen-Loeve transform
- Generalised low-rank matrix approximation
- Optimal data compression
- Optimal nonlinear filtering
The 21 self-contained chapters in this volume are devoted to the examination of modern trends and open problems in the field of optimization. This book will be a valuable tool not only to specialists interested in the technical detail and various applications presented, but also to researchers interested in building upon the book’s theoretical results.
On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6.
On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.
"Seamless R and C++ integration with Rcpp" is simply a wonderful book. For anyone who uses C/C++ and R, it is an indispensable resource. The writing is outstanding. A huge bonus is the section on applications. This section covers the matrix packages Armadillo and Eigen and the GNU Scientific Library as well as RInside which enables you to use R inside C++. These applications are what most of us need to know to really do scientific programming with R and C++. I love this book. -- Robert McCulloch, University of Chicago Booth School of Business
Rcpp is now considered an essential package for anybody doing serious computational research using R. Dirk's book is an excellent companion and takes the reader from a gentle introduction to more advanced applications via numerous examples and efficiency enhancing gems. The book is packed with all you might have ever wanted to know about Rcpp, its cousins (RcppArmadillo, RcppEigen .etc.), modules, package development and sugar. Overall, this book is a must-have on your shelf. -- Sanjog Misra, UCLA Anderson School of Management
The Rcpp package represents a major leap forward for scientific computations with R. With very few lines of C++ code, one has R's data structures readily at hand for further computations in C++. Hence, high-level numerical programming can be made in C++ almost as easily as in R, but often with a substantial speed gain. Dirk is a crucial person in these developments, and his book takes the reader from the first fragile steps on to using the full Rcpp machinery. A very recommended book! -- Søren Højsgaard, Department of Mathematical Sciences, Aalborg University, Denmark
"Seamless R and C ++ Integration with Rcpp" provides the first comprehensive introduction to Rcpp. Rcpp has become the most widely-used language extension for R, and is deployed by over one-hundred different CRAN and BioConductor packages. Rcpp permits users to pass scalars, vectors, matrices, list or entire R objects back and forth between R and C++ with ease. This brings the depth of the R analysis framework together with the power, speed, and efficiency of C++.
Dirk Eddelbuettel has been a contributor to CRAN for over a decade and maintains around twenty packages. He is the Debian/Ubuntu maintainer for R and other quantitative software, edits the CRAN Task Views for Finance and High-Performance Computing, is a co-founder of the annual R/Finance conference, and an editor of the Journal of Statistical Software. He holds a Ph.D. in Mathematical Economics from EHESS (Paris), and works in Chicago as a Senior Quantitative Analyst.