Product Description
This digital document is an article from Journal of Computers in Mathematics and Science Teaching, published by Association for the Advancement of Computing in Education (AACE) on June 22, 2004. The length of the article is 6752 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Complex quantification in Structured Query Language (SQL): a tutorial using relational calculus.(Structured Query Language)
Author: Jalal Kawash
Publication: Journal of Computers in Mathematics and Science Teaching (Refereed)
Date: June 22, 2004
Publisher: Association for the Advancement of Computing in Education (AACE)
Volume: 23Issue: 2Page: 169(22)

Distributed by Thomson Gale ... Read more

Product Description
In the market-leading CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accurate, accessible presentation of calculus combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Seventh Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements, including iLrn Tutorial and the Interactive Video Skillbuilder CD-ROM, provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts. ... Read more

Customer Reviews (8)

Tan, Calculus....
It was fine. Just a textbook that I needed for class, so I'm not madly in love with it or anything. The quality was good, and the item shipped really fast. Thats about it.

excellent transaction
this transaction was excellent, since the day i bought it. it was fast and in excellent condition. i recomend this seller to anyone

Nice book
This book is a very good book for people going into business. It gives a very brief view of Calculus, and the applications of math. The book has a very clear writing style that explains the concepts of the subjects covered in a clear manner which is not often found in math text books.

Tan7 Calculus solution manual-red cover with Boy on it-for managerail life.
This book is excellent it helped me a LOt.I wold have failed if it was not for this life saving book.The answers where clear and concise. This book shows step by step how to work each problem!!

I only wish it had a calculator explaination for the problems.

Great Cacl text, but CD ROM not Mac compatible
We used this text book in an NYU continuing education program.The course was designed as a refresher course for potential MBA applicants.I was taking it because we truly use calculus in the analytics of our systems at work.

This is a great text book.The illustrations are terrific.The problem sets are very good as they truly use real-world problems and examples.The instruction is crisp, without excessive theoretical wanderings.

One of the best scientific and engineering texts I have used.

CON:The enclosed CD ROM does not work with the Mac OSX operating system, and although I contacted customer support, they did not have plans to make the software OSX compatible.:-( ... Read more

Product Description
David Cohen's PRECALCULUS: A PROBLEMS-ORIENTED APPROACH, Sixth Edition, focuses on teaching mathematics by using a graphical perspective throughout to provide a visual understanding of college algebra and trigonometry. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can teach the course with as much or as little graphing utility work as he/she wishes. ... Read more

Customer Reviews (9)

worst ever
I placed my order with a 1-day shipping. E-mailed the sender 3 times asking about when it would be shipped.Never got a response, never received my book.I missed several assignment at school.Had to re-order from another sender.

It's the worst experience.It seems that this seller does not even exist.

Horrible!!!!!

OK book
This book is written to a very understandable degree. If you are finding it difficult to understand then the problem is not the book its you. While some of the chapters may be better organized the book is not a total loss. After all you do only have to look in the appendix to find the topic you want to study about. All information is in this book including a 2 chapter review of basic algebra.

While I don't love the book, I am having no problem with it.

Grab Bag
A grab bag of precalc topics. Makes a good refresher, but not a good intro.

Good chapters, poor layout
I see that other reviewers have beaten me to the punch. I, too, found the individual chapters very good and the overall organization confused. Like a previous reviewer, I think Cohen's Precalculus would best serve as a supplement to Michael Sullivan's more effectively organized book.

jumbled = confusing = easily forgotten lessons
My son was assigned this textbook last year in a junior college math class. He and his classmates found it frustrating. I had to spend hours tutoring him and several of his friends. As a result, I became intimately familiar with Cohen's Precalculus and the confusion it caused students.

My opinion of this book is much like that of the first and last reviewers. There is no discernible order to the chapters; the book doesn't progress in any logical way from what the students have just learned to what immediately follows. (For example: Why didn't the chapter on linear equations immediately follow the chapter on matrices? That's the whole point of matrices--we use them to solve linear equations!).

Sad to say, this book is just a big jumble of miscellaneous material lumped together under the rubric of precalculus. I don't know why the author and publisher chose to arrange the material this way. A previous reviewer suggests that the market forces textbook authors to include everything but the kitchen sink. Even if true, this explanation is irrelevant: it might explain why the book crams so much between its covers, but it doesn't explain the haphazard arrangement of the material. The book certainly didn't do my son or his classmates much good. Although they managed to memorize and regurgitate their lessons well enough to pass the final exam, the mathematical knowledge they gleaned wasn't retained very well because it was never put into any kind of logical order. This book provided no framework that made sense of the random lessons they received. In my opinion, that is not a good way to teach anything, especially an abstract subject like math. ... Read more

Product Description
This second edition of the popular A Multigrid Tutorialpreserves the introductory spirit of the first edition while roughlydoubling the amount of material covered. The topics of the firstedition have been enhanced with additional discussion, new numericalexperiments, and improved figures. New topics in the second editioninclude nonlinear equations, Neumann boundary conditions, variablemesh and variable coefficient problems, anisotropic problems,algebraic multigrid (AMG), adaptive methods, and finiteelements.

This introductory book is ideally suited as a companion textbook forgraduate numerical analysis courses. It is written for computationalmathematicians, engineers, and other scientists interested in learningabout multigrid. ... Read more

Customer Reviews (5)

Most Accessible Treatment of Multigrid Out There
A Multigrid Tutorial is concise, engaging, and clearly written.Steve McCormick is the only guy I know that can pull off teaching in spandex.Just make sure you sit in the back row.

A very good introductory book on multigrid
This book is a very good introductory text on multigrid method. After reading the book, I not only gained a basic understanding of the method, also could implement the method on my current projects. This is a great book for students or engineers who are new to multigrid, not for readers who need more detailed and deep discussion of the method.

An Accessible Multigrid Introduction...No, Really, I Mean It
Mathematicians who write well are a rare commodity.Briggs is one of them.He has the ability to break down complex numerics with understandable prose making concepts accessible to non-specialists.He operates under the rare assumption that his readers weren't born knowing this stuff.This multigrid primer written with Henson and McCormick is no exception.Expository discussions are lucid, compact and informative; examples and plots are helpful and well selected; and pseudo code is well documented with corresponding outputs to verify understanding.If you are embarking on Multigrid from scratch this short (if somewhat pricy) primer is worth the time and money.

Good introduction to Multigrid
Anyone with some background in applied mathmatics should find this book accessible. It is well laid-out and focuses on algorithms as opposed to mathematical proofs.It is ideal for someone interested in multigrid methods but who doesn't want to get lost in lots of mathematical theory.It doesn't cover cell centered methods, which is somewhat limiting, but other than that it was useful and informative.

Excellent basic multigrid theory
This is a great book.Clearly written, well organized. ... Read more

Product Description
These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching precalculus: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills. Their texts have a strong reputation built on mathematically sound presentation, excellent applications, and on challenging students to develop algebraic, graphical, and verbal mathematical skills. Goodman and Hirsch help students go beyond the mechanics of mathematics to developing a coherent strategy to solving problems. ... Read more

Product Description
Moran/Davis/Murphy's text implements a modern approach to teaching precalculus by heavily emphasizing contexts in which mathematics can be used to solve real-world problems, and through active involvement of the student in the learning process. Students are asked to answer questions and discover ideas throughout the body of the text, and to explore mathematical concepts in group lab projects. It employs a lively, fun writing style to communicate concepts to students in a way that can be easily understood. Graphing utilities are thoroughly integrated into the text, and their use is required. Users and reviewers have given this text high acclaim for its fresh applications, projects, and wonderful use of the discovery approach. ... Read more

Product Description
David Cohen's PRECALCULUS, WITH UNIT-CIRCLE TRIGONOMETRY, Fourth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual understanding of college algebra and trigonometry. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can teach the course with as much or as little graphing utility work as he/she wishes. ... Read more

Customer Reviews (10)

Good Condition
Came in the mail quite quickly and is in very good condition. No tears, scratches or anything. just a few pencil marks on a few pages. Definitely not complaining considering how much money this saved me! (:

Horrible Textbook
To be honest, I am very frustrated with this book.My biggest complaint about it is that the examples that are worked out (not explained mind you) often times have no connection to the homework problems.In fact the homework problems are always much more difficult, so the textbook doesn't prepare you for what you need to know.It is beyond me how the author thinks we can solve the homework problems, if he fails to show how they are approached in the first place.This author has no business writing textbooks and I haven't a clue why my college went with the book in the first place.

Author could do better
I used this textbook for a trigonometry class. In many of the chapters, the author hardly explained many steps in how to do problems and leaves out important key examples and topics needed to do the homework problems. When the author actually does explain the examples, he gives only either the easiest examples possible or unrelated examples. What I dislike the most is that this author only gives practice problems that do not reinforce topics needed to do the homework problems.

Textbook
Book was in great shape.Came in only about a week.Great service.

precalculus: with unit circle trigonometry
the book was in great condition and it came with the CD-ROM which is always impossible to find when buying a used book. I am very pleased with the item though the price was a bit high. ... Read more

Product Description
This is the first book on the maximum entropy and Bayesian methods aimed at senior undergraduates in science and engineering. It takes the mystery out of statistics by showing how a few fundamental rules can be used to tackle a wide variety of problems in data analysis.After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing.Other topics covered include reliability analysis, multivariate optimization, least squares and maximum likelihood, error-propagation, hypothesis testing, maximum entropy, and experimental design. As a logical and unified approach to the subject of data analysis, with a self-contained tutorial approach, this work will be valued by instructors and students alike. ... Read more

Customer Reviews (7)

concise but clear
Sivia offers a brief but thorough explanation of how to use Bayesians in data analysis. He illustrates with important examples that commonly often arise in the sciences. As in estimating the true amplitude of a signal in the presence of background noise. These days, for anyone in a lab sitting next to an electronic gadget acquiring data, you can surely emphathise with this problem.

The necessary background for his book includes being familiar with multivariable calculus. Specifically, with the Taylor expansion in several variables, and with the Jacobian matrix of second partial derivatives. Plus of course a grounding in statistics, including maximum likelihood estimations and the normal distribution.

A gem.
This tutorial on Bayesian data analysis is a gem: very terse, yet explaining the concepts very clearly, giving many insightful examples along the way. This is achieved within only 180 pages by focussing on understanding and intuition instead of mathematical formalism. After reading this tutorial, the reader will be familiar with the way of thinking in Bayesian statistics. The tutorial thus encourages the reader to get more independent from the (conceptually more complicated) cook book statistics with the associated risk of misusage. When reading this book I felt as if a whole jumble of more or less unconnected pieces of statistical wisdom was finally falling into place within the Bayesian framework.

A few critical remarks: (1) A clearer structure with more informative section and subsection headings would help to quicker find things and keep the material orderly in one`s mind. (As an example, the two core chapters are entitled „Parameter estimation I" and„Parameter estimation II").(2) The chapter on non-paramteric estimation is much harder to understand than the first six chapters. This is in part justified by the advancedness of the topic but it could profit from a streamlining (and updating).(3) This book certainly would have the chance to become much more popular than it is now if it was more reasonably priced.

The reader should have a firm command of elementary probability theory, first year calculus (Taylor expansion, multidimensional integration, finding the maximum of a multi-variable function), as well as elementary linear algebra (diagonalization, eigenvectors, determinants). Ideally, she should be familiar with basic classical statistics, as this will make her appreciate the elegance of the Bayesian view more. Physicists will love this book.

Bayes' Theorem made simple
This is an excellent tutorial for the both the beginner (undergraduate) and more advanced scientist.Sivia takes the reader through several examples with simple and conciseexplanations.I have used many of the examples discussed in the book as starting points for problems that I have encountered in my work.I would recommend giving it a try...

Learn what it means to be a "Bayesian"
For years I listened to people present "Bayesian" solutions to problems without appreciating the subtler implications of the term.Bayes' theorem is one of the first topics taught in freshman-level probability and statistics.It's taught, and it's used, but it isn't a central part of the teaching of modern statistics.

Bayesians make it central.Sivia does a masterful job of deriving most of statistics from judicious applications of Bayes' theorem.He can do this, in part, because the visible universe is finite.Infinities and limit theorems can be bypassed, and previously impossible functional forms become workable.

The book is a tutorial; you have to think.But it's well worth it.

poor pedagogy
Maybe it's just me but I found this book not very helpful. The easy stuff is repeated often (Bayes's theorem is quoted every few pages) but when a difficulty arises it is glossed over. Maybe it gets better: I decided not to finish the book. ... Read more

Product Description
Designed to meet the needs of a wide audience without sacrificing mathematical depth and rigor, Adaptive Control Tutorial presents the design, analysis, and application of a wide variety of algorithms that can be used to manage dynamical systems with unknown parameters. Its tutorial-style presentation of the fundamental techniques and algorithms in adaptive control make it suitable as a textbook.

Adaptive Control Tutorial is designed to serve the needs of three distinct groups of readers: engineers and students interested in learning how to design, simulate, and implement parameter estimators and adaptive control schemes without having to fully understand the analytical and technical proofs; graduate students who, in addition to attaining the aforementioned objectives, also want to understand the analysis of simple schemes and get an idea of the steps involved in more complex proofs; and advanced students and researchers who want to study and understand the details of long and technical proofs with an eye toward pursuing research in adaptive control or related topics.

The authors achieve these multiple objectives by enriching the book with examples demonstrating the design procedures and basic analysis steps and by detailing their proofs in both an appendix and electronically available supplementary material; online examples are also available. A solution manual for instructors can be obtained by contacting SIAM or the authors.

This book will be useful to masters- and Ph.D.-level students as well as electrical, mechanical, and aerospace engineers and applied mathematicians.

Preface; Acknowledgements; List of Acronyms; Chapter 1: Introduction; Chapter 2: Parametric Models;Chapter 3: Parameter Identification: Continuous Time; Chapter 4: Parameter Identification: Discrete Time; Chapter 5: Continuous-Time Model Reference Adaptive Control; Chapter 6: Continuous-Time Adaptive Pole Placement Control; Chapter 7: Adaptive Control for Discrete-Time Systems; ... Read more

Product Description
Dwyer and Gruenwald's PRECALCULUS builds on the same features as their very successful COLLEGE ALGEBRA, Second Edition and COLLEGE ALGEBRA AND TRIGONOMETRY, Second Edition , while adding material to help students look ahead to calculus. The book is organized around a traditional table of contents, and offers a contemporary flavor through the use of the rule of four, modeling, and a strong conceptual orientation. The authors motivate students by using outstanding contemporary applications that address important topical issues, as well as entertaining and illustrative ones. The applications are woven around a carefully paced presentation of algebra and trigonometry topics. A rich variety of exercises further engage and challenge students. In PRECALCULUS, the authors assume that students have access to a variety of graphing calculator models, so generic instruction is provided. Guidelines and keystrokes for specific calculators can be found in the free, text-specific online graphing calculator manual. ... Read more

Customer Reviews (1)

Faulty sending
i was told that this book would be sent in 5-10 business days.well it took a month to get to me.that would have been just great except i needed the book for my classes.If you say 5-10 business days it better be to me by 10 business days max~! not a month ... Read more

Product Description
Thomas Hungerford's CONTEMPORARY PRECALCULUS text is highly praised and well respected for its clear writing, outstanding applications problems, and integration of technology. Many adopters like the use of real data in examples and exercises, and they appreciate the flexibility of the book. This market-leading text is now accompanied by an outstanding array of innovative supplements that facilitate teaching and enhance learning. ... Read more

Customer Reviews (5)

You do not NEED this book.
I have had the misfortune of teaching from this book and I have also had to take courses from this authors other more advanced math books.

Unlike calculus, pre-calculus is not a standardized class so any book on the subject will range over many different topics.This one does so with a surprising amount of randomness.

This book takes shortcuts that are not mathematically accepted: for example to explain inverse functions he uses the "Round Trip Theorem" and later suggests students learn something he calls the "difference quotient."

[The "Round Trip Theorem" states that an f composed with its inverse is the identity.]

[The "Difference Quotient" is the definition of the derivative without including the limit at the beginning.]

If you are a math teacher and have not taught from this book, the chances are you don't know what these phrases mean, and that is because they are not common terms.Indeed, this concepts, while critical for students to understand, are dealt with in the book as a recipe to memorize with funny names and mneumonics.With out the concept of limits which will come in calculus, most students find "difference quotients" completely pointless -- and I don't blame them.With inverse functions, students fail to see that inverse functions are defined completely by what Hungerford calls the "Round Trip Theorem" and this is largely because at this stage in their mathematical developement they do not yet have a grasp at reading theorems and satisfying hypotheses.In other texts this concept is (appropriately) used as the definition of invertiblity not a consequence.

While some of these problems can be fixed by teaching, it is unfair to insist students suplement their class lectures with a text that subverts the arguments carefully crafted by the teacher.

Finally the trigonometry in the book is heavily unmotivated, although this is a problem in every trig book.

Other suggestions?Search on-line for web lecture notes on specific topics, such as "What are inverse functions?" or "How to factor a polynomial?".Web notes are generally shorter and more direct about the problems being asked and the fewer exercises get at the practice needed with the theory.At this stage, lengthy textbooks wander off the topic too much.

Absolutely Awful
This is the absolute worst text book I have ever had the misfortune of using, in any subject. Hungerford only provides part of the information you actually need to do the problems, and the answers in the back of the book are not reliable. I was forced to use this book for a class in college. If you have a similar misfortune, GET THE SUPPLEMENT. It is the only thing that will help to keep you sane. Make sure you check out the amazing resources availible online, like purplemath.com. This book sure won't be of any help. My professor is just like the author, so it made for a very difficult class.

Good book, although the images are not to my tastes
This book is different from many others, as the graphing calculator is an integral part of the instruction. A large number of the images are nothing more than what a graphing calculator will present when asked to plot a segment of a particular function. Since the material is standard precalculus, the decision whether to adopt this text will be largely based on your opinion concerning the role of graphing calculators in mathematics education.While there is no question that graphing calculators can be of help, they can also be a hindrance. Graphs are just another tool that enable us to better understand the concepts and are not a complete solution. All mathematicians are aware that diagrams can be inadequate and at times appear to be accurate when they are not.
While their resolution is improving, the visual aspects of the graphing calculator are still somewhat crude. The diagrams in this book can at times be confusing, as the points are still tiny squares and if the student takes the figures too seriously, they can be misleading. As we all know, if there is an opportunity for students to be mislead, some will avail themselves of the opportunity. In some ways, it is a step backwards. For years, publishers have labored to create very high quality diagrams with a great deal of contrast between the different parts. This has made the diagrams much easier to read, but in the images of the calculators there is very little contrast and the figures are crude.
Of greater concern is the real problem that students will use the calculator as a psychological crutch and fail to learn the mathematical justification of the results. For example, when we are dealing with the graphs of functions of the form y = (x - h)*(x - h) + k, out interest is in their understanding concerning how the position of the graph changes as h and k changes. If they rely on the graphing calculator too much, they will never learn the fundamental reasons for the shifts.
In terms of presentation, I found the book to be soundly written, the explanations are understandable and complete. The level is appropriate and the material is the usual precalculus fare. The last chapter deals with limits and continuity, which of course is the beginning of calculus. Considering that there are over 800 pages of material without it, one can argue both positions as to whether it should have been included. A large number of exercises appear at the end of the sections and answers to the odds are included at the end. A CD-ROM with over 8 hours of video instruction is included with the book and qualified adopters of the book can receive content-specific videotapes.
I will not be adopting this book, largely due to the emphasis on graphing calculators. To me, graphing calculators create more problems than they solve in education. However, if you feel otherwise, then this book will likely be exactly what you are looking for.

This book has too many flaws.
The most obvious problem with this book is that there are too many errors in the answers at the back.This results in a lot of time spent reworking the problems in attempts to get the "right" answers.I know it is very difficult to edit to a point that is closer to perfection, but such careful editing is of crucial importance in a math book.

The book's layout and design are poor.For example, a bold line is used to indicate the beginning of an example instead of the beginning of a concept.This has the unfortunate effect of making it appear that the explanation of a new concept is part of the previous example.Though I did get somewhat used to this technique halfway through the book, I never learned to like it, and it continued to confuse me occasionally.

I would have appreciated more exercises for practice at the end of each section.Often, I would get the hang of a concept by the second or third problem, but then there would be no more problems on which I could reinforce my newfound understanding.I will say, though, that there were plenty of applied problems and they were frequently useful, challenging, and even fun.

I rated this book at 3 stars (instead of 2 or 1) because much of the material itself is good.I learned a lot and I did fairly well in the course (A-).However, I know a good textbook when I use one, and this one needs more work to fit that description.This book made taking the class more difficult, time-consuming, and frustrating than it needed to be.

there are better books out there, this is not one of them
to be blunt, this book is not good. hungerford does not explain how to do precalculus very well in this book. it is difficult to read and to understand. a good example is if you were programming a VCR when theinstructions are japanese (no offense). this is probably the reason why itis so difficult. if hungerford made this book more student friendly, thenmaybe he would've gotten a better review. until then, look for anotherbook, this one is definately not one of the best. ... Read more

Product Description
This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.

A Tutorial on Elliptic PDE Solvers and Their Parallelization is a valuable aid for learning about the possible errors and bottlenecks in parallel computing. One of the highlights of the tutorial is that the course material can run on a laptop, not just on a parallel computer or cluster of PCs, thus allowing readers to experience their first successes in parallel computing in a relatively short amount of time.

Audience
This tutorial is intended for advanced undergraduate and graduate students in computational sciences and engineering; however, it may also be helpful to professionals who use PDE-based parallel computer simulations in the field.

Contents
List of figures; List of algorithms; Abbreviations and notation; Preface; Chapter 1: Introduction; Chapter 2: A simple example; Chapter 3: Introduction to parallelism; Chapter 4: Galerkin finite element discretization of elliptic partial differential equations; Chapter 5: Basic numerical routines in parallel; Chapter 6: Classical solvers; Chapter 7: Multigrid methods; Chapter 8: Problems not addressed in this book; Appendix: Internet addresses; Bibliography; Index. ... Read more

Product Description

This book gives a user friendly tutorial to Fronts in Random  Media, an interdisciplinary research topic, to senior undergraduates and graduate students the mathematical sciences and engineering.

The topics concerns both deterministic and probabilistic techniques. The approach taken uses elementary methods to introduce ideas and motivate results  where possible. It takes a step by step approach, with exercises, allowing  the reader to build up tools to use in research.

Product Description
Students can use the computer-algebra and graphing capabilities of Derive in the study of calculus and linear algebra. With the help of this tutorial, users can begin to use the enormous symbolic, numeric, and graphical power of Derive to experiment with graphical representations of functions and gain visual insight into abstract mathematical problems. ... Read more

Product Description

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.