Best Abstract Algebra
He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
Reviews
Find Best Price at Amazon"His introduction is excellent and it's interesting to realize that the algebra we learn in elementary school is just one out of about 200 algebras that mathematicians have analyzed."
"I need books that go at a nice relaxed pace, and which give me plenty of opportunities to work interesting problems. Pinter excels at breaking down complicated concepts into very small, practically painless steps. The index is pretty crummy, and the many sections of exercises are not labeled in a way that lets you see what subjects are being developed."
"Pinter's book covers a lot of ground, but it is aimed squarely at students (including autodidacts) who have the beginnings of what is nebulously referred to as 'mathematical maturity'."
"This is first time in my life I can read a math book as fast as reading a fiction. I feel I will come back to those books I gave up a long time ago."
"A rigorous presentation that reads more like an interesting essay that a math text, yet it is a thorough summary of the subject."
"I am able to navigate these pretty easily and have not discovered many true mistakes (on the part of the author that is). A real novice could easily get confused and may not be able to mentally correct some typos on the fly. Also navigation through the book is different than the typical and not as efficient but once I learned what was needed it is tolerable."
"That being said, the book is very clear, I understand all the steps, exercises are great, not-too-hard-not-too-boring, the author really writes well and it makes you feel like you have a tutor with you helping you move forward."
These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. “The book under review is an introduction to the theory of categories which, as the title suggests, is addressed to the (no-nonsense) working mathematician, thus presenting the ideas and concepts of Category Theory in a broad context of mainstream examples (primarily from algebra).
Reviews
Find Best Price at Amazon"Beautifully written book by the founder of the subject."
"It is a Great Book and it is quite helpful to me."
"I'm still, slowly, making my way through this book in my spare time."
"For any doubters, I point you to the only other text you should read on Category theory, namely, "Category Theory" by Horst Herrlich and compare this text with Mac Lane's."
"Categorical proof theory, the representation of proof theory in categories, appears--at least implicitly--in the coherence theorem for monoidal categories."
"Eilenberg and Mac Lane created category theory and this book is alive with the very style of thought Mac Lane brought to it in the first place."
"Unlike the computer science design patterns, these compose!"
A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations and elimination theory. The exposition is very clear, there are many helpful pictures and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry.”. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations, and elimination theory. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regained their earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving. The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry."
Reviews
Find Best Price at Amazon"great book."
"Certainly will take you from a novice to a high level of understanding."
"Filled with great information about its subject (see title)."
"I guess the third edition is better."
Best Linear Algebra
If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText -- Access Card Package, 5/e. This text makes these concepts more accessible by introducing them early in a familiar, concrete R n setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Lay is also a coauthor of several mathematics texts, including "Introduction to Functional Analysis "with Angus E. Taylor, "Calculus and Its Applications," with L. J. Goldstein and D. I. Schneider, and "Linear Algebra Gems-Assets for Undergraduate Mathematics, "with D. Carlson, C. R. Johnson, and A. D. Porter. David Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar--Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America's Awards for Distinguished College or University Teaching of Mathematics. David Lay is a member of the American Mathematical Society, the Canadian Mathematical Society, the International Linear Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society for Industrial and Applied Mathematics. He is a member of the American Mathematical Society, the Mathematics Association of America, and the Association of Christians in the Mathematical Sciences. Judi has received three teaching awards: two Inspiring Teaching awards at the University of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at Washington State University. She has been an active member of the International Linear Algebra Society and the Association for Women in Mathematics throughout her career and has also been a member of the Canadian Mathematical Society, the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.
Reviews
Find Best Price at Amazon"Now that I've talked with others who took a similar course at another school (with a different book), I know that my knowledge of Linear Algebra (learned from this book) is pretty good."
"I had to read and reread chapters and supplement with various sites and videos (Khan Academy helped)."
"it is easy to follow and the example problems are very indicative of the homework problems that follow."
"The text does a good job of explaining most of the concepts clearly, but some of the proofs are very bare, and sometimes I'm left wondering WHY something works."
"Good book."
"I liked the study guide, but the "see the text" responses and failing to answer T/F questions was absolutely annoying (although I saw Lay's purpose b/c I did learn more by looking it up, it was just time-consuming)."
"This book is very hard to understand."
Best Elementary Algebra
In the Eighth Edition of CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. Stewart was the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
Reviews
Find Best Price at Amazon"Needed it for class."
"Perfect if you do the problems at the end of chapters."
"Just as described!"
"Quick shipping and book as described."
"Excellent renting value and it was in perfect condition."
Best Intermediate Algebra
If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText -- Access Card Package, 5/e. This text makes these concepts more accessible by introducing them early in a familiar, concrete R n setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. Lay is also a coauthor of several mathematics texts, including "Introduction to Functional Analysis "with Angus E. Taylor, "Calculus and Its Applications," with L. J. Goldstein and D. I. Schneider, and "Linear Algebra Gems-Assets for Undergraduate Mathematics, "with D. Carlson, C. R. Johnson, and A. D. Porter. David Lay has received four university awards for teaching excellence, including, in 1996, the title of Distinguished Scholar--Teacher of the University of Maryland. In 1994, he was given one of the Mathematical Association of America's Awards for Distinguished College or University Teaching of Mathematics. David Lay is a member of the American Mathematical Society, the Canadian Mathematical Society, the International Linear Algebra Society, the Mathematical Association of America, Sigma Xi, and the Society for Industrial and Applied Mathematics. He is a member of the American Mathematical Society, the Mathematics Association of America, and the Association of Christians in the Mathematical Sciences. Judi has received three teaching awards: two Inspiring Teaching awards at the University of Regina, and the Thomas Lutz College of Arts and Sciences Teaching Award at Washington State University. She has been an active member of the International Linear Algebra Society and the Association for Women in Mathematics throughout her career and has also been a member of the Canadian Mathematical Society, the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.
Reviews
Find Best Price at Amazon"Now that I've talked with others who took a similar course at another school (with a different book), I know that my knowledge of Linear Algebra (learned from this book) is pretty good."
"I had to read and reread chapters and supplement with various sites and videos (Khan Academy helped)."
"it is easy to follow and the example problems are very indicative of the homework problems that follow."
"The text does a good job of explaining most of the concepts clearly, but some of the proofs are very bare, and sometimes I'm left wondering WHY something works."
"Good book."
"I liked the study guide, but the "see the text" responses and failing to answer T/F questions was absolutely annoying (although I saw Lay's purpose b/c I did learn more by looking it up, it was just time-consuming)."
"This book is very hard to understand."