Matrix
Editions

*serious mathematics, written with the reader in mind*

Matrix Editions is a small publishing house founded in 2001, committed to "serious mathematics, written with the reader in mind." Our goal is to publish rigorous books that go beyond correct statements to show why statements are correct and why they are interesting.

Barbara Burke Hubbard

Matrix Editions

Brief biography

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Our books (except the student solution manuals) are hard cover with Smyth-sewn bindings;
pages won't fall out on heavy use.
We take care with layout; whenever possible we place figures
on the same page (or facing page) as the text they illustrate.

Our
commitment to excellence does not end once a book has been published. When errors are
found they are posted
and customers are alerted.

*I wish Springer-Verlag books were as well constructed as the ones Matrix Editions publishes.* — reader in Boulder, Colorado

*I’ve just finished reading your 3-volume Teichmuller
theory book. It’s a masterpiece. It’s one of the best math books I’ve
ever read, and reading it was sheer pleasure. It’s one of my favorite subjects,
and on every topic I thought your coverage was exactly right.* — Danny Calegari,
professor, University of Chicago, Jan. 4, 2024

*Functional Analysis Volume 1:
A Gentle Introduction* is now again available as ebook; the ebook includes the corrections made in the second printing.

*Functional Analysis Volume 1:
A Gentle Introduction*

Dzung Minh Ha

640 pages, published in 2006

Reprinted with corrections 2023

Sample page (pdf)

*Outstanding Academic Title of 2007* (Choice Magazine).

"The author has set himself
a monumental
task: writing a functional analysis book that can be read by any well-motivated student, even one with only
a modest background in analysis. He carried out this task with great patience and care and he did a remarkable job." —
SIAM Review, June 2010.

These links will take you to a brief description of the book; for more information, click on the book cover or title.

*Vector
Calculus, Linear Algebra, and Differential Forms, 5th edition*

*Student Solution Manual for 5th edition*

*Teichmüller Theory
Volume 1: Teichmüller Theory *

*Teichmüller Theory
Volume 2: Surface Homeomorphisms and
Rational Functions*

*Teichmüller Theory
Volume 3: Manifolds that Fiber over the Circle*

*Functional Analysis Volume 1:
A Gentle Introduction*

*Solving Linear Systems: Matrix Prefactorization
Iterative Methods*

*Student Solution Manual for 4th edition*

*Student Solution Manual for 2nd edition*

*Vector
Calculus, Linear Algebra, and Differential Forms: A Unified Approach, 5th edition*

John Hubbard and Barbara Burke Hubbard

ISBN 9780971576681

818 pages, hardcover, 8 x 10 inches

2015, $98

pdf ebook, $79.50

Both print and pdf ebook, $137

Table of contents (pdf)

Sample page (pdf)

Click on the book cover or title for more information.

Note: The ebook version includes corrections to all errata posted September 15, 2022. However, you will not be able to print the ebook. Please read this before ordering.

Used at Harvard, Yale, Cornell, UCSD, Calgary, the University of Minnesota, IUPUI, Portland State, and more.

"I am falling in love with this book. To give but one example from today, I looked up the introduction to the Jacobian because I am going over the proof that the normal distribution pdf integrates to unity with my single-variable BC Calc students (who have now taken the AP). Your presentation of the Jacobian, taking the reader back to single-variable and redefining that derivative to create a form that can be naturally extended, is just marvelous. The style of presentation is also remarkable: it treats the reader like an intelligent and thoughtful person but also explains everything using fundamental principles and clear language. I am truly smitten." — Daniel Bettendorf, The Roxbury Latin School

Reader comments
for *Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach*

*
Student Solution Manual*
to accompany the 5th edition of *Vector Calculus,
Linear Algebra, and Differential Forms: A Unified Approach*

John H. Hubbard and Barbara Burke Hubbard

ISBN 9780971576698

305 pages, soft cover, 8x 10 inches.

There is no separate web page for this solution manual.

Note: The ebook version includes corrections to all errata posted August 7, 2021. However, you will not be able to print the ebook. Please read this before ordering.

Detailed solutions to every odd-numbered exercise.
"I particularly enjoyed problem A1.5. I thought I'd never
see how Peano did it. Part c is worth the answer book alone." — Lewis Robinson, Holyoke, MA

An instructor's solution manual, in pdf, is provided to instructors on request.

*Teichmüller Theory
and Applications to Geometry, Topology, and Dynamics,
Volume 1: Teichmüller Theory*

John H. Hubbard

ISBN: 9780971576629

459 pages, hardcover, Smyth-sewn binding

2006, $85

Table of contents (html), Sample page (pdf)

*Volume 1 of Teichmuller theory has been a joy to read. I have had many epiphanies
about the geometry of surfaces as a result of your
excellent exposition. And peculiarly, I have learned more from the
appendices alone than from many other books. Thank you!* — UCLA undergraduate

*The only book on Teichmüller theory that I can understand* — Professor Steven Krantz

Click on the book cover or title for more information.

From the author's preface:

"Between 1970 and 1980, William Thurston astonished the mathematical world by announcing
four theorems:

1. The classification of homeomorphisms of surfaces.

2. The topological characterization of rational maps.

3. The hyperbolization theorem for 3-manifolds that fiber over the circle.

4. The hyperbolization theorem for Haken 3-manifolds.

"Not only are the theorems of extraordinary beauty in themselves, but the methods of proof Thurston introduced were so novel and displayed such amazing geometric insight that to this day they have barely entered the accepted methods of mathematicians in the field."

Volume 1 gives a complete treatment of Teichmüller theory, including the material needed in the subsequent three volumes to prove Thurston's theorems. The book is written to be accessible to second-year graduate students.

* Teichmüller Theory and Applications to Geometry, Topology,
and Dynamics Volume 2: Surface Homeomorphisms and
Rational Functions *

John H. Hubbard

ISBN: 978-1-943863-00-6

262 pages, hardcover

108 color illustrations

2016, $75

Table of contents (html), Sample page

Click on the book cover or title for more information.

*Hubbard has written a beautiful set of books. The main advantage of his approach over all the existing monographs on Teichmuü̈ller theory is that
it makes a synthesis between geometry, analysis, algebra, and dynamics. We all look forward to the sequel. * — Athanase Papadopoulos, Bulletin of the AMS

This second volume provides proofs of the first two of Thurston's four theorems: the classification of homeomorphisms of surfaces and the topological characterization of rational maps.

"The results sound more or less unrelated," Hubbard writes in his introduction, "but they are linked by a common thread: each one goes from topology to geometry. Each says that either a topological problem has a natural geometry, or there is an understandable obstruction. The proofs are closely related: you use the topology to set up an analytic mapping from a Teichmüller space to itself; the geometry arises from a fixed point of this mapping. Thurston proceeds to show that if there is no fixed point, then some system of simple closed curves is an obstruction to finding a solution."

ISBN 9781943863013

Hardcover, 558 pages

For more information, please go to Volume 3: Manifolds that fiber over the circle.

* Solving Linear Systems: An Analysis of Matrix Prefactorization
Iterative Methods*,

Zbigniew Ignacy Woźnicki

ISBN 9780971576667

554 pages, hardcover, 8 x 10 inches

2009, $89

Table of contents (html)

Sample page (pdf)

*Matrix Editions has scored a coup with this title.* — SciTech Book News.

"This book contains a detailed treatment of linear algebra, and how it can be applied to the iterative solution of elliptic boundary-value problems. In Chapter 5 the author attacks the interesting and difficult problem of comparing the numerical work required to solve large elliptic problems by his SOR-like AGA method, with the numerical work required using newer computational methods, such as Krylov subspace methods and GMRES.

"His conclusions here are quite unexpected! Indeed, for some problems, he found that the SOR-like methods were superior to Krylov subspace methods by several orders of magnitude." — From the foreword by Richard Varga, Emeritus University Professor of Mathematics, Kent State University

Click on the book cover or title for more information.

*Student Solution Manual*
to accompany the 4th edition of *Vector Calculus,
Linear Algebra, and Differential Forms: A Unified Approach*

John H. Hubbard and Barbara Burke Hubbard

ISBN 9780971576674

284 pages, soft cover

8x 10 inches, $26.00

Sample page (in pdf)

The 4th edition of the textbook is out of print.

There is no separate web page for this solution manual.

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