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

Our books (except the student solution man­uals) are hard cover with smythe-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.

Quick links

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

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



book cover, Vector Calculus 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, $87

Table of contents (pdf)
Sample page (pdf)

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

Click on the book cover or title for more information.




book cover 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. $34.00
Sample page (in pdf)

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.

There is no separate web page for this solution manual.



book cover, 
		 Solving Linear Systems 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.



book cover, Teichmuller theory, volume 1 Teichmüller Theory and Applications to Geometry, Topology, and Dynamics, Volume 1: Teichmüller Theory

John H. Hubbard
ISBN: 9780971576629
459 pages, hardcover, smythe-sewn binding
2006, $77
Table of contents (html), Sample page (pdf)

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.

Click on the book cover or title for more information.



book cover 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, $63
Table of contents (html), Sample page

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."

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coverFunctional Analysis Volume 1: A Gentle Intro­duction
Dzung Minh Ha

ISBN-13: 9780971576612
640 pages, hardcover
2006, $73
Table of contents (html)
Sample page (pdf)

We are sorry, but we have no more copies of this book. We hope to offer a pdf ebook soon. Please write hubbard@MatrixEditions.com if you would like to be notified when the ebook can be ordered.


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.

Click on the book cover or title for more information.


book cover, 
		 Student Solution Manual for 4th edition 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, $33.00
Sample page (in pdf)

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

There is no separate web page for this solution manual.




book cover, 
		 Student Solution Manual for 4th edition Student Solution Manual to accompany the 2nd edition of Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach

John H. Hubbard and Barbara Burke Hubbard
ISBN 9780971576605, 2002
200 pages, soft cover
8.5x 11 inches, $22.95

The 2nd edition of the textbook is out of print.

There is no separate web page for this solution manual.

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