Math 23a--Theoretical Linear Algebra and Multivariable Calculus

Fall 2003

Mathematics 23a - Fall 2003

Theoretical Linear Algebra
and Multivariable Calculus

Instructor:
John Boller
Office: SC 320
Email: boller@math.harvard.edu

Math 23a Supplemental Bibliography

For linear algebra:

Finite-Dimensional Vector Spaces, Paul R. Halmos, (Springer-Verlag, 1958) ISBN #0-387-90093-4
esp. Chapter 1, sections 1-13

Linear Algebra, an Introductory Approach, Charles W. Curtis, (Springer-Verlag),
ISBN #0-387-90992-3

Linear Algebra with Applications, Otto Bretscher, (Prentice-Hall, 1997), ISBN #0-13-190729-8
esp. Chapters 3 and 9

Linear Algebra, Georgi E. Shilov, (Dover), ISBN #0-486-63518-X

Linear Algebra Done Right, 2nd Ed., Sheldon Axler, (Springer-Verlag), ISBN #0-387-98258-2
(softcover) #0-387-98259-0 (hardcover)

For constructions of the integers, rational numbers, and real numbers:

Elements of Set Theory, Herbert B. Enderton, (Harcourt-Brace-Jovanovich, 1977)
ISBN #0-12-238440-7
esp. Chapter 5

Calculus, Michael Spivak, (W.A.Benjamin, Inc., 1967) ISBN #0-8053-9018-9
esp. Chapters 27-29

For analytical structure of the real numbers:

Mathematical Analysis, Tom M. Apostol, (Addison-Wesley, 1974) ISBN #0-201-00284-1

For multivariable Calculus:

Calculus on Manifolds, Michael Spivak, (Addison-Wesley, 1965) ISBN #0-8053-9021-9

Advanced Calculus: A Course in Mathematical Analysis, Patrick M. Fitzpatrick, (PWS Publishing),
ISBN #0-534-92612-6

Advanced Calculus of Several Variables, C.H. Edwards, Jr., (Academic Press, 1973--now published by
Dover Publications, Inc.) ISBN #0-486--68336-2

Div, Grad, Curl, and All That: an Informal Text on Vector Calculus, H.M. Schey, (W.W. Norton),
ISBN #0-39396-997-5

Differential Forms: A Complement to Vector Calculus, Steven H. Weintraub, (Academic Press, 1997)
ISBN #0-12-742510-1

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Please send comments to John Boller. Reference Math 23a in your subject.
URL: http://abel.math.harvard.edu/~boller/M23/index.html
last modified: September 3, 2003