Linear algebra hoffman free download

The choice and number of applications may need to change as tastes in topical coverage evolve. His illustrations are helpful, with the one problem that he tends not to label his axes. These are not obstacles in reading the book, but they may make it harder for students to read the same topics in other books on linear algebra.

Changing the order of coverage of the main sections would likely disrupt the careful development of theory in the first three chapters. End-of-chapter Topics can be covered in any order, or omitted. In the Preface, the author suggests going through the text exclusive of Topics in order and suggests the rate at which that can be done.

He also marks some sections as optional, so that they can be skipped to devote time to other parts of the text. The material is logically ordered and divided into five chapters, but Chapter Three is much longer than any other chapter.

It could be split into two chapters, the second one on orthogonality and its applications. Links in the. There are also links to references in the bibliography. I found no display features that could distract or confuse the reader, except for figures in which the coordinate axes are not labeled.

It is worth mentioning that the text is presented in an attractive and readable font. Hyperlinks connect the exercises in the text with their solutions, provided the names of the files are not changed. I tried changing the file name of the text to something more descriptive than book.

There are a few grammatical errors and a few places where the author seems to omit a word or string two sentences together, but these do not seriously interfere with reading the text. Thus they are not culturally insensitive or offensive in any way. The author not only provides. Besides those, he includes extra problems with solutions, an introduction to proofs, and an article on matrix arithmetic. Professor Hefferon tries hard to motivate every topic he covers and almost always succeeds.

He is to be commended and appreciated for doing everything he could to help students and instructors to benefit from and make maximal use of his text.

Even when it is not used as the text for a course, it can serve as a useful reference. The book covers the standard material for an introductory course in linear algebra. The material is standard in that the topics covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors.

The approach is developmental, the topics are covered in a comprehensive fashion, and the mathematical language of the book is very rigorous and proof-based. Nearly everything is proven either in the main text or in the exercises, which is helpful for readers who are trying to bring more rigor to their mathematical thinking and mathematical maturity.

The book is well balanced, substantial yet concise and has extensive exercise sets, with levels of difficulty varying from routine verifications to challenging problems, with worked answers and detailed solutions to all exercises. Each chapter closes with a selection of related special topics, usually applications to real world examples from physics, biology, economics, probability and abstract algebra that could be assigned as individual or group projects or could be presented in class.

These special topics, such as crystals, stable populations, electrical networks, dimensional analysis, voting paradoxes and so on, together with the many interesting applications throughout the text, make this book more valuable than the average undergraduate linear algebra textbook. On the web page of the author beamer slides for classroom use are available, that draw from the text source with respect to the notations, the numbering of theorems etc, but contain different examples than in the book.

The web page also hosts a lab manual for computer work using Sage and links to a repository with the latex source files. I used the book as a textbook for two semesters and found the text to be accurate and error free. The book is available for download since The book has been tested over many years at a number of different schools and by a number of different instructors, and the author continuously improved the book based on their feedback, so it is ready to use today.

The book content and presentation of topics have been updated and improved over the years; the content of the present edition is up-to-date. The text presentation is very clear and well motivated; the proofs are rigorous, unambiguous but include plenty of details that make them accessible and easy to follow. The text is easily and readily divisible into smaller reading sections that give enough flexibility to an instructor in the organization of the lectures.

There are subsections, in the table of contents, marked as optional if some instructors will pass over them in favor of spending more time elsewhere. The topics are presented in a logical, clear fashion; a wealth of examples throughout the book is provided, and the author gives a lot of motivations for the study of most of the topics.

A positive aspect is that — unlike many other textbooks - it starts with linear transformations rather than starting with matrices and then develops the intuition behind matrices. I had no problems using the interface and no navigation problems. The pdf file is easy to use. A nice feature is that if the pdf files for both the book and the solutions are saved in the same folder then clicking on an exercise sends you to its answer and clicking on an answer sends you back to the exercise.

This is a great free resource to be used as a textbook for an introductory course in linear algebra, or as a complementary material or for individual study. This is a complete textbook for Linear Algebra I. It proceeds through the expected material on vector and matrix arithmetic on examples, then it makes a nice transition to abstract vector spaces and linear operators. The major theorems in linear The major theorems in linear algebra are all covered, with nice proofs and clear examples and good exercises.

After using the textbook for three courses, I have found no significant errors in the book. Perhaps a minor typo or two over hundreds of pages. This is a good contemporary book on linear algebra. It would be appropriate for any sophomore-level linear algebra course for pure math, applied math, CS, or related fields.

It includes some nice sections on computing that could lead naturally into a course on numerical methods. The text is very clear. It follows modern notation, deviating only when it makes sense for clarity for the students. The proofs are nicely written, and the author does a good job of mixing exercises into the body of the proofs. Being a thorough mathematics textbook, overall modularity is limited by the logical nature of the subject matter, but the later chapters are definitley re-organizable.

For example, I am someone who prefers to teach eigenvectors and Jordan form before I teach determinants, and this is easy to do with this book. The material is logical and clear, to contemporary mathematical standards. A good student could read chapter-to-chapter and learn the subject. The text is a straightforward PDF e-book. It is well-typeset and easy to read.

The LaTeX for the book is available, and the author has made some nice commands to typeset certain types of objects like augmented matrices that can be useful when writing supplementary material. It was an excellent resource for myself and for the students. The problems are very good, and the logical flow of the book is easy to follow. It is now my first choice for a Linear Algebra I book. This text provides a fairly thorough treatment of topics for an introductory linear algebra course.

It builds up the theory of linear algebra in order to answer important questions about they solutions and the types of solutions associated with It builds up the theory of linear algebra in order to answer important questions about they solutions and the types of solutions associated with systems of linear equations, and transitions to utilizing those techniques to further answer questions pertinent to vector spaces and maps between vector spaces.

In this build-up, the focus is placed upon interpretation of results, concepts and theory. The text can be used before an intro-to-proofs course, and it provides many applications in the form of end-of-chapter Topics. The text is lighter in topics like matrix algebra, systems of equations over fields other than the real numbers, computational linear algebra, the geometric interpretation of vectors and linear transformations, and the analysis of data sets using linear algebra.

The first chapter focuses on solving systems of equations and understanding the types of solutions associated with various types of systems. The second chapter focuses on properties of vector spaces and uses the techniques of the first chapter to build the concepts of linear independence, dependence, and basis. In the the third chapter, which focuses on maps between vector spaces, the techniques from Chapter 1 are again utilized to understand properties of the maps through studying the vector subspaces impacted by the maps.

Matrix multiplication and matrix inverses are finally presented as composition of maps and inverse maps. Chapter 5 and 5 then focus on techniques appropriate for square matrices.

Chapter 4 focuses on determinants and includes a section on the geometry of determinants, while Chapter 5 covers eigenvalues and eigenvectors.

Many of the techniques used to answer questions in Chapter 1 are thus refined and re-used in later chapters. I've used the text for four semesters, and have found the text to be accurate and error-free. Homework solutions are available, and most solutions utilize algebra or theory. Occasionally solutions could be simplified had they utilized geometric meaning. The text provides a non-standard definition of linear transformation and uses it consistently throughout the text.

The content and end-of-chapter topics are up-to-date. Most of the topics will withstand the test of time, a possible exception being the inclusion of the Page Rank topic pertinent to internet search.

The writing is clear and supported by illustrations. The illustrations and explanations nicely explain and summarize content; I've sometimes needed to provide additional introduction or explanation of the illustrations for students.

Chapter 3 is long pages contains a lot of material, many of it introduced just when it is needed. I will admit at first I loathed Hoffman and Kunze. Solution manual linear algebra second edition by kenneth hoffman and ray kunze Free downloadLinear Algebra, 2nd Edition. Ray Kunze, University of Georgia Pearson. Master Links. Not so with Hoffman and Kunze. Hoffman and Kunze make no concessions for lazy undergrads, and their prose, although concise, leaves no room to skimmed over.

Yes, it can be—and often is—boring. Hoffman and Kunze solution manual. Mathematical Analysis — Apostol.

Artin Algebra. Some students, especially mathematically The general solution of expressed in terms of the free variables is , , ,. Hoffman and kunze, solution. Book title Linear Algebra 2Nd Ed. Kenneth Hoffman; Ray Alden Kunze. Uploaded by.