Product Description
Introductory Algebra and Trignometry with Applications by Paul Calter and Carol Felsinger Rogers This textbook introduces all the important topics for a student who needs preparatory, review, or remedial work in mathematics. Adapted from Calter's Technical Mathematics, it uses an intuitive approach and gives information in very small-segments. Careful page layout and numerous illustrations make the material easy to follow. Features of Introductory Algebra and Trigonometry with Applications include the following.Graphing Calculator: The graphing calculator has been fully integrated throughout the text, and calculator problems are given in the exercises. The book does not present any particular calculator. Keystrokes are shown in the early chapters, with verbal descriptions given thereafter.Common Error Boxes: Many of the mistakes that students repeatedly make have been identified and are presented in the text as Common Error boxes.Summary of Facts and Formulas: All important formulas are boxed and numbered in the text and are listed in the Summary of Facts and Formulas at the end of the book.Examples: The many fully worked examples are specifically chosen to help the student do the exercises.Exercises: A large number of exercises is given after each section, graded by difficulty and grouped by type.Chapter Review Exercises: Every chapter ends with a set of Chapter Review Exercises. In contrast to the exercises, most are scrambled as to type and difficulty, requiring the student to be able to identify type.Applications: Applications drawn from many fields are included in the examples, the exercises, and the Chapter Review.Writing Questions: The "writing-across-the-curriculum" movement urges writing in every course as an aid to learning. In response, this text provides a writing question at the end of every chapter.Team Projects: As an aid to collaborative learning, a team project is included at the end of most chapters.Thorough Support Material: Among valuable components found at the end of the book are the Summary of Facts and Formulas, Conversion Factors, Answers to Selected Exercises, Index to Applications, Index to Writing Questions, Index to Team Projects, and General Index.For the Instructor: An Instructor's Manual contains worked-out solutions to every even-numbered problem in the text.This most valuable supplement is available to any instructor using the textbook.For more information on this book or any of Prentice Hall's other new technology titles, visit our Web site at http://www prenhall.com ... Read more

Customer Reviews (1)

Decent math book
While I resent the term remedial, I will admit that I am very weak in math.I had to use this text for an algebra semester and will have to use it again for a trigonometry semester.I did get a B+ in the class, but I think that had more to do with the teacher then the book.After I actually sat down, ignored that the teacher had said and read the text, the algebra portion became much clearer.You'll probably never buy this book to own it, but if you come across it in school, don't be afraid. ... Read more

Customer Reviews (1)

Great price and condition
I'm very satisfied with my purchase.Book is in great condition and price is affordable. ... Read more

Product Description
W. Keith Nicholson's "Linear Algebra with Applications, Fifth Canadian Edition" is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including: Directed graphs; Google PageRank; Computer graphics; Correlation and Variance; and Finite Fields and Linear Codes.In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include: motivating matrix multiplication (Chapter 2) and a new way to expand a linearly independent set to a basis using an existing basis. While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn.This "bridging" concept eases students into the introduction of vector spaces in Chapter 6. ... Read more

Customer Reviews (3)

easy to understand (relative to the others)
This book is straight forward and relative to most of the other books out there.

Can be tough to get by with at times
This book is a good start for linear algebra; it touches upon the basics at first to make sure you have the required skills before moving onwards.However I personally found that there were too many proofs, even for algebra which can be very proof heavy. Also the book could use more examples, especially when touching upon tougher concepts such as sub/vector spaces.

Teffific introductive book
This is a wonderful and easy to follow book about linear algebra. After reading this book with clear concept establishment, you might go ahead more advanced books. ... Read more

Product Description
This expanded new edition presents a thorough and up-to-date introduction to the study of linear algebra

Linear Algebra, Third Edition provides a unified introduction to linear algebra while reinforcing and emphasizing a conceptual and hands-on understanding of the essential ideas. Promoting the development of intuition rather than the simple application of methods, the book successfully helps readers to understand not only how to implement a technique, but why its use is important.

The book outlines an analytical, algebraic, and geometric discussion of the provided definitions, theorems, and proofs. For each concept, an abstract foundation is presented together with its computational output, and this parallel structure clearly and immediately illustrates the relationship between the theory and its appropriate applications. The Third Edition also features:

• A new chapter on generalized eigenvectors and chain bases with coverage of the Jordan form and the Cayley-Hamilton theorem
• A new chapter on numerical techniques, including a discussion of the condition number
• A new section on Hermitian symmetric and unitary matrices
• An exploration of computational approaches to finding eigenvalues, such as the forward iteration, reverse iteration, and the QR method
• Additional exercises that consist of application, numerical, and conceptual questions as well as true-false questions

Illuminating applications of linear algebra are provided throughout most parts of the book along with self-study questions that allow the reader to replicate the treatments independently of the book. Each chapter concludes with a summary of key points, and most topics are accompanied by a "Computer Projects" section, which contains worked-out exercises that utilize the most up-to-date version of MATLAB(r). A related Web site features Maple translations of these exercises as well as additional supplemental material.

Linear Algebra, Third Edition is an excellent undergraduate-level textbook for courses in linear algebra. It is also a valuable self-study guide for professionals and researchers who would like a basic introduction to linear algebra with applications in science, engineering, and computer science. ... Read more

Customer Reviews (1)

Great for transitioning to abstract math
All right, I'll admit it: when it came to math, for most of my life I was a ninety-eight-pound weakling. I excelled at analogies, reading comprehension, vocabulary, people called me "Verbal" -- but when it came to equations and theorems, I was useless. At the same time, I was fascinated by math, resulting in my picking up quite a number of algebra and analysis books I was woefully unprepared to comprehend. This book changed that. I took a linear algebra class where it was the assigned textbook, and for the first time I would read the textbook to understand what was going on in class, not the other way around.

The particular strength of this book is in encouraging what is called "mathematical maturity" (usually cited as a "prerequisite" in the introductions to books on higher mathematics). Mathematical maturity is not simply a "formal" grasp of mathematical operations: learning how to formalize the Peano axioms in a logic class won't cut it. It's about learning how to balance mathematical exigency with theoretical elegance, and this book is specifically designed to get you to grasp such issues. It does this by emphasizing the importance of proofs, without forcing you to deduce all necessary principles from axioms.

In this, it differs quite markedly from other introductory linear algebra textbooks, such as Howard Anton's. Anton et al., like calculus and high school algebra texts, are designed in a "cookbook" format: they offer you numerical recipes for getting desirable outcomes from given data. That is not to say they are uniformly less advanced: Anton's text covers topics, like the Vronskian, which this textbook does not. And on the other side of the scale, there probably isn't much difference if you only want to learn Gaussian elimination. However, if you're in the market for a linear algebra textbook, you are probably needing to grasp not only matrix operations but also how mathematics proceeds beyond solving equations: and I can tell you from experience, learning from this book is one of the easiest ways to do so.

For someone with a year of calculus under their belt, a course using this book would be an excellent choice: the book would also be cost-effective for self-study by a person with a little money but not much time. Errors are commonplace in any textbook in the exact sciences: a program for making essential skills comprehensible to many is rare indeed. ... Read more

Product Description
This undergraduate textbook, which includes problems and exercises, covers all applications of linear algebra. Topics include constructing curves and surfaces through specified points, plane geometry, graphy theory, computer graphics, linear programming and much more. ... Read more

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This textbook presents the teaching of algebra and trigonometry from a traditional, deductive point of view, while making connections to other fields by using applications as examples for applying concepts. The text emphasizes technology as a tool to support mathematical discussions. It includes real applications to the fields that are studied, motivating students and connecting what they learn with everyday life. Even and odd numbered exercises are paired in difficulty at the end of each section, providing the instructor with flexibility when assigning homework. ... Read more

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This ancillary contains complete solutions to all odd-numbered exercises and all of the solutions to the end-of-chapter material. ... Read more

Customer Reviews (2)

Student Solutions Manual for Aufmann/Barker/Lockwood's Intermediate Algebra with Applications, 7th
lots of helpful information in this paperback to go along with your class hard back book i bought this used and for the price was in pretty good shape description said it all fast shipping and very please with customer service

Student Solutions Manual
Book arrived quickly and on time. The book was in the exact condition that was stated as. Very satisfied with the buyer! I was also impressed by the cost, I have been looking for this solution manual for 6 months. Very happy with my purchase!! Thanks ;) ... Read more

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A unique, applied approach to problem solving in linear algebra

Departing from the standard methods of analysis, this unique book presents methodologies and algorithms based on the concept of orthogonality and demonstrates their application to both standard and novel problems in linear algebra. Covering basic theory of linear systems, linear inequalities, and linear programming, it focuses on elegant, computationally simple solutions to real-world physical, economic, and engineering problems. The authors clearly explain the reasons behind the analysis of different structures and concepts and use numerous illustrative examples to correlate the mathematical models to the reality they represent. Readers are given precise guidelines for:
* Checking the equivalence of two systems
* Solving a system in certain selected variables
* Modifying systems of equations
* Solving linear systems of inequalities
* Using the new exterior point method
* Modifying a linear programming problem

With few prerequisites, but with plenty of figures and tables, end-of-chapter exercises as well as Java and Mathematica programs available from the authors' Web site, this is an invaluable text/reference for mathematicians, engineers, applied scientists, and graduate students in mathematics. ... Read more

Customer Reviews (1)

Good book!
A linear combination of vectors allows any coefficient - positive or negative. A more powerful concept is the "cone" of a set of vectors which allows only positive combinations (more powerful because a linear space is the union of two cones, but a cone can never be expressed as a linear space). While there are many many good books on the "algebra of linear spaces" (i.e. Linear Algebra) I havent seen any that treat the "algebra of cones" with the thoroughness that this book does. I found this book useful to derive existence proofs in combinatorial optimization although the material is fundamental enough to be applied in many more fields. Best used if you have a reasonably good grasp of linear algebra. ... Read more

Product Description
This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. ... Read more

Customer Reviews (8)

Wrong Book
My son asked me to order this book for him, but it is not what it appeared to be.It only has test questions & answers. We were needing the TEXT BOOK.Then, I ordered another one with TB at the end, again, wrong book as TB stands for Test Bank, and only has suggested questions for tests but not the TEXT BOOK I thought I was ordering. Am at a loss, as I have spent almost $100 and still have not what I need, the TEXT BOOK.

Not a helpful book
a terrible book for self-study. may be good as a class companion where the teacher explains a lot. but the author does not approach linear algebra in an pedagogical way that enables self-study. solutions for exercises come out of the blue of the sky. also errors found.

a LA book for the rest of us
I usually avoid demagogic descriptions of educational texts as they tend to appeal mainly to ignorants but in the case of linear algebra perhaps i can be excused.This book presents a difficult topic, that could be very frustrating, in an easy to understand, well documented manner.Unlike most math textbooks this book does not aim to educate only the top 5% of the class and confute the rest of the students.Rather the author seems to be targeting average to good math students.Also helpful is that he basses the relevant chapter examples on problems that actually appear in the excercises.No silly "discovery learning" or multiple levels of abstraction are required to solve the problems and understand the topics.I appreciate that the author is aiming to educate the bulk of his audiance and not just the mathematical elite. Only if more advanced math books were like this!

Bad book
The book gets confusing at points and the author assumes many concepts which defeat the purpose of being "Elementary". I have struggled at how he comes up with the answers.For example chapter 4 is so confusing!!!

Formal proofs with an easy language
This is a great book for beginner courses in Linear Algebra. It covers most of the things you're likely to see in a beginner course (there a few topics that aren't covered in this book but probably you'd only see them in more advanced courses). The book is wonderfully diagrammed with emphasis boxes for definitions and theorems. Most theorems are given formal proofs but always in the simple and easy language of the rest of the book. The more straightforward proofs are left as exercise (and believe me, they're great exercises). The authors did not commit an offensive crime by leaving them out. This omission does not compromise understanding, either. At the end of each chapter it presents a cumulative summary of the most important topics learned so far. This is very important in a subject where the most simple definition learned in the first chapter of the book is the key to a much more difficult definition presented in a more advanced chapter. That's the joy of Linear Algebra! ... Read more

Product Description
Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subject are long out of print and, to date, no other book has integrated these theories with the long-established work that supports them.Universal Algebra and Applications in Theoretical Computer Science introduces the basic concepts of universal algebra and surveys some of the newer developments in the field. The first half of the book provides a solid grounding in the core material. A leisurely pace, careful exposition, numerous examples, and exercises combine to form an introduction to the subject ideal for beginning graduate students or researchers from other areas. The second half of the book focuses on applications in theoretical computer science and advanced topics, including Mal'cev conditions, tame congruence theory, clones, and commutators.The impact of the advances in universal algebra on computer science is just beginning to be realized, and the field will undoubtedly continue to grow and mature. Universal Algebra and Applications in Theoretical Computer Science forms an outstanding text and offers a unique opportunity to build the foundation needed for further developments in its theory and in its computer science applications. ... Read more

Product Description
Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students.The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:- groups and algebras- homological algebra- universal algebra- general ring theory- representations of finite groups- coding theory- languages and automataThe author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Keywords: Algebra, PI-rings, Skew fields, Universal algebra

Contents: Conventions on Terminology.- Preface.- Universal Algebra.- Homological Algebra.- Further Group Theory.- Algebras.- Central Simple Algebras.- Representation Theory of Finite Groups.- Noetherian Rings and Polynomial Identities.- Rings without Finiteness Assumptions.- Skew Fields.- Coding Theory.- Languages and Automata.- Bibliography.- List of Notations.- Author Index.- Subject Index ... Read more

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Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra).

Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.

Product Description
This book contains more than two thousand exercises in algebra. These exercises are currently used in teaching a fundamental course in algebra in the Department of Mechanics and Mathematics at Moscow State University. The text is divided into three parts, which correspond to three semesters of study. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks. At the end of the book results of calculations, a list of notations and basic definitions are given. ... Read more

Product Description
Clear prose, tight organization, and a wealth of examples and computational techniques make Basic Matrix Algebra with Algorithms and Applications an outstanding introduction to linear algebra. The author designed this treatment specifically for freshman majors in mathematical subjects and upper-level students in natural resources, the social sciences, business, or any discipline that eventually requires an understanding of linear models. With extreme pedagogical clarity that avoids abstraction wherever possible, the author emphasizes minimal polynomials and their computation using a Krylov algorithm. The presentation is highly visual and relies heavily on work with a graphing calculator to allow readers to focus on concepts and techniques rather than on tedious arithmetic. Supporting materials, including test preparation Maple worksheets, are available for download from the Internet.This unassuming but insightful and remarkably original treatment is organized into bite-sized, clearly stated objectives. It goes well beyond the LACSG recommendations for a first course while still implementing their philosophy and core material. Classroom tested with great success, it prepares readers well for the more advanced studies their fields ultimately will require. ... Read more

Customer Reviews (4)

Terrible
I'm in the middle of trying to complete Linear Algebra right now, with Liebler's book.I've never met Dr. Liebler, but all I can say is that his book makes no sense.I don't really have much of a teacher who likes to "explain" things, but rather have you figure them out on your own. And that way is fine and everything, but I seriously do not understand one thing this book is trying to convey. The use of notation and the terms are horrendous.I have never ever had such a difficult time understanding a math book (I'm a math major).I've done well in both my Calculus courses, and have been able to teach myself many applications of math, but this Linear Algebra book is TERRIBLE.If you have ANY choice whatsoever, take a course that uses a different book--you'll be very grateful.

The worst intro to linear algebra EVER.
I was in one of the first classes Dr. Liebler decided to unleash this atrocity on.It was horrible then with 2 or 3 pages of errata, and it isn't much better now.Just imagine how horrible it was trying to learn the material with this as a textbook and with the author giving lectures that were just as foggy and incoherent.If I could give this book a 0 star rating, I would.

Horrible, never explains anything.
This book is horrendous.I can't believe it's still being published.It claims to illuminate the ideas and claims to be effective in approaching the numerous topics.I've read and reread the chapters, but still the content makes no sense.The worst part about it is that I'm a math major, and so I shouldn't be having this much trouble with it.

It's even worse that I've had the actual author as a substitute teacher numerous times at Colorado State University, and he can't even explain the material concisely in person.

Good Book, Great Sense of Humor .
Good, but COULD be better . . I think the book, having few typos, lacks in concrete explanations ( although quite some are there ) and instead, beats a bit with words around the bush, etc . I interpret some sections of chapters in full clarity entirely, yet still get lots vaguely . Very clear objectives and nice examples with great practice problems; I would recommend more geometrical interpretative topics to aid with a visual relationship of some topics . Overall good . ... Read more

Product Description
This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53) ... Read more

Product Description
Designed for the second level course in linear algebra taken by your junior- or senior-level mathematics, engineering, or science majors, this text focuses on the fundamentals of linear algebra in a thematic framework which emphasizes concepts most important to applied mathematics, engineering, and science. ... Read more

Product Description
Contents include one practice master for every lesson in algebra 1. Full-size answers make it easier for you or your students to check their work. ... Read more