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The 5th
edition of Vector
Calculus, Linear Algebra, and Differential Forms: A Unified Approach, with
the corresponding student solution manual.
818 pages, hardcover, smythesewn binding, 8 x 10
inches $87. Sept. 2015
ISBN 9780971576681
This 5th edition contains all the things that made the earlier editions different from other textbooks. Among others:
 Integrating linear algebra and multivariable calculus
 Using effective algorithms to prove the main theorems (Newton's method and the implicit function theorem, for instance)
 A new approach to both Riemann integration and Lebesgue integration
 Manifolds and a serious introduction to differential geometry
 A new way of introducing differential forms and the exterior derivative.
There is also new material, in response to requests from computer science colleagues:
 More big matrices! We included the PerronFrobenius theorem, and its application to Google's PageRank algorithm
 More singular values! We
included a detailed proof of the singular value decomposition, and show
how it applies to facial recognition: "how does Facebook apply names to
pictures?"
Other changes are more cosmetic: unsuccessful exercises were removed,
about 40 new exercises added, new examples added, some shaky proofs
improved, and more.
For more information: Vector
Calculus 5th edition
"...a text
for a very
particular type of student, one who accepts that reading and learning
mathematics will no longer a a plugandchug activity, one who is
intrigued by connections of mathematical ideas with one another, and
more specifically, one who is looking forward to learning a vast amount
of mathematics" — MAA
Review of 3rd edition Read
entire review
Praise from readers


Featured
Future
Book: Dynamics:
Introductory Lectures by
John Milnor Tentative table
of contents
Complete
list of future books


Functional
Analysis Volume I: A Gentle Introduction
by Dzung Minh Ha
Named
an Outstanding Academic Title of
2007
by
Choice Magazine (Current
Reviews for Academic Libraries).
640 pages,
Hardcover, smythesewn binding. ISBN 9780971576612.
$73
"The
author has set himself a monumental task: writing a functional analysis
book that can be read by any wellmotivated 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."
— from SIAM Review, June 2010, Vol 52, No. 2.
"A
thorough ... presentation of all the standard topics any introductory
functional analysis course might wish to cover ... highly accessible,
selfcontained ... Highly recommended."
— from the March 2007 issue of Choice
See
complete review
 Studentfriendly
but rigorous
 Many
examples and counterexamples.
 Includes
solutions to all oddnumbered exercises
 Thorough
index
More
on this book
(including links to table of contents, reviews, sample pages, etc.)
More
on "outstanding
academic titles"


Teichmüller
Theory and
Applications to
Geometry, Topology, and Dynamics Volume I:
Teichmüller Theory
by John H.
Hubbard, with forewords by Clifford Earle
and William Thurston
459 pages,
Hardcover (with Smythesewn binding), ISBN
9780971576629
$77
"...
beautiful
treatments of classical
theorems .... [and] of more specialized topics that
one can hardly find (and, for some of them, cannot find at
all)
in other textbooks on Teichmüller
theory....an
invaluable book. It treats a wonderful subject, and it is
written
by a great mathematician. It is now an essential reference for every
student and every researcher in the field."
—
Zentralblatt Math
"As a motto,
Matrix
Editions has chosen "Serious mathematics, written with the reader in
mind." The volume under review ... beautifully exemplifies
the motto... [Fields
medalist William] Thurston writes that "John
Hubbard approaches mathematics with his whole mind," and indeed he
does. Definitions, theorems, proofs, and remarks are embedded
in a
coherent narrative. Geometry is made visual whenever possible..."
— MAA
Reviews Read more
More information on
Teichmuller Volume 1
Solving
Linear Systems: An Analysis of Matrix Prefactorization Iterative
Methods,
by Zbigniew Ignacy
Woźnicki
554 pages,
8 x 10 inches, hardcover, smythesewn binding, ISBN 9780971576667
$89
June,
2009
Matrix
Editions has scored a coup with this title — SciTech
Book News (see
complete review)
"This
book contains a detailed
treatment of linear algebra, and how it can be applied to the iterative
solution of elliptic boundaryvalue 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 SORlike 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 SORlike 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
More
information on Solving
Linear Systems

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