Fall 2005 Textbooks

Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Borcherds

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B

Brooks/Cole

1A

2

Calculus

Liu

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B

Brooks/Cole

1A

3

Calculus

Jones

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B

Brooks/Cole

1B

1

Calculus

Reshetikhin

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B

Brooks/Cole

1B

2

Calculus

Reshetikhin

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 1A/1B

Brooks/Cole

16A

1

Anal. Geo. & Calc.

Sturmfels

Goldstein "Calculus & Its Applications" (Custom Vol. 1)

Prentice-Hall

16A

2

Anal. Geo. & Calc.

Scanlon

Goldstein "Calculus & Its Applications" (Custom Vol. 1)

Prentice-Hall

16B

1

Anal. Geo. & Calc.

Sarason

Goldstein "Calculus & Its Applications" (Custom Vol. 2)

Prentice-Hall

24

1

Freshman Seminars

Harrison

No Text Required

32

1

Precalculus

Staff

Cohen "Precalculus" (6th ed.)

Brooks/Cole

53

1

Multivar. Calculus

Frenkel

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 53

Brooks/Cole

53

2

Multivar. Calculus

Weinstein

Stewart "Calculus: Early Transcendentals" (5th ed.) or Custom 53

Brooks/Cole

54

1

Linear Alg. & Diff. Eqns.

Ribet

Boyce Diprima "Elem. Diff. Eqn. + Bound Value Prob." (8th ed.) or Custom 54

Wiley

Hill "Elementary Linear Algebra" (3rd ed.) or Custom 54

Thomson

54

2

Linear Alg. & Diff. Eqns.

Neu

Boyce Diprima "Elem. Diff. Eqn. + Bound Value Prob." (8th ed.) or Custom 54

Wiley

Hill "Elementary Linear Algebra" (3rd ed.) or Custom 54

Thomson

H54

1

Honors Linear Alg. & Diff. Eqns.

Coleman

Givental "Linear Algebra & Differential Equations" (2001)

AMS

55

1

Discrete Mathematics

Bergman

Rosen "Discrete Mathematics" (5th ed.)

McGraw-Hill

74

1

Transition Higher Math.

Staff

Eisenberg "The Math Method: A Transition to Adv. Math." (1995)

Prentice-Hall

74

2

Transition Higher Math.

Staff

Eisenberg "The Math Method: A Transition to Adv. Math." (1995)

Prentice-Hall

H90

1

Honors Problem Solving

Kahan

To Be Announced

C103

1

Intro to Math. Econ.

Ahn

Mas-Colell "Microeconomic Theory" (Optional)

Oxford

Kreps "Notes on the Theory of Choice" (Optional)

Westview

104

1

Intro. To Analysis

Holtz

Rudin "Principles of Mathematical Analysis" (3rd ed., 1976)

McGraw-Hill

104

2

Intro. To Analysis

Samuels

Rudin "Principles of Mathematical Analysis" (3rd ed., 1976)

McGraw-Hill

104

3

Intro. To Analysis

Ogus

Ross "Elementary Analysis: Theory of Calculus" (1980)

Springer

104

4

Intro. To Analysis

Zhan

Ross "Elementary Analysis: Theory of Calculus" (1980)

Springer

104

5

Intro. To Analysis

Caviglia

Pugh "Real Mathematical Analysis" (1st ed., 2002)

Springer

Rudin "Principles of Mathematical Analysis" (3rd ed., 1976) (Optional)

McGraw-Hill

H104

1

Honors Intro. to Analysis

Peres

Pugh "Real Mathematical Analysis" (1st ed., 2002)

Springer

110

1

Linear Algebra

Demmel

Friedberg "Linear Algebra" (4th ed., 2003)

Prentice-Hall

H110

1

Honors Linear Algebra

Harrison

Axler "Linear Algebra Done Right" (2nd ed.)

Springer

113

1

Abstract Algebra

Ogus

Beachy & Blair "Abstract Algebra" (2nd ed., 1995)

Waveland Press

113

2

Abstract Algebra

Samuels

Artin "Algebra" (1991)

Prentice-Hall

113

3

Abstract Algebra

Givental

Solomon "Abstract Algebra" (2003)

Brooks/Cole

113

4

Abstract Algebra

Rieffel

Goodman "Algebra, Abstract and Concrete" (2nd ed., 2002)

Prentice-Hall

115

1

Intro. Number Theory

Weissman

Silverman "A Friendly Introduction to Number Theory" (3rd ed.)

Prentice-Hall

118

1

Math Signal Proc.

Holtz

Strang & Nguyen "Wavelets & Filter Banks" (1997) (Optional)

Wellesley

Hernandez & Weiss "A First Course on Wavelets" (1996) (Optional)

CRC Press

121A

1

Math Physical Sci.

Serganova

Boas "Mathematical Methods in the Physical Sciences" (2nd ed., 1983)

Wiley

123

1

Ord. Diff. Equations

Coleman

Sanchez "Ordinary Differential Equations and Stability Theory: An Introduction" (1979)

Dover

125A

1

Math Logic

Scanlon

Cori & Lascar "Mathematical Logic: A Course with Exercises" Part I

Oxford

Cori & Lascar "Mathematical Logic: A Course with Exercises" Part II (Optional)

Oxford

128A

1

Numerical Analysis

Gu

Burden & Faires "Numerical Analysis" (8th ed., 2004)

Brooks/Cole

130

1

Classical Geometrie

Wu

Greenberg "Euclidean & Non-Euclidean Geometry" (3rd ed.)

Freeman

135

1

Intro. Theory Sets

Silver

Enderton "Elements of Set Theory" (1977)

Academic Press

140

1

Metric Diff. Geom.

Geba

DoCarmo "Differential Geometry of Curves & Surfaces" (1976)

Prentice-Hall

Struik "Lectures on Classical Differential Geometry" (2nd ed., 1988) (Optional)

Dover

160

1

History of Math

Wodzicki

Gillings "Mathematics in the Time of Pharaohs"

Dover

Neugebauer "The Exact Sciences in Antiquity" (2nd ed.)

Dover

Ivor "Greek Mathematical Works: Thales to Euclid"

Loeb Classical

Ivor "Greek Mathematical Works: Aristarchus to Pappus"

Loeb Classical

Boyer "A History of Mathematics" (Optional)

Wiley

172

1

Combinatorics

Woods

Bogart "Introductory Combinatorics" (3rd ed.)

Brooks/Cole

185

1

Complex Analysis

Klass

Marsden & Hoffman "Basic Complex Analysis" (3rd ed.)

Freeman

Brown & Churchill "Complex Variables & Applications" (7th ed., 2003) (Optional)

McGraw-Hill

185

2

Complex Analysis

Christ

Stewart & Tall "Complex Analysis" (1983)

Cambridge

185

3

Complex Analysis

Zhan

Brown & Churchill "Complex Variables & Applications" (7th ed., 2003)

McGraw-Hill

191

1

Exper. Math

Gomez

Usiskin "Mathematics for High School Teachers" (2003)

Prentice-Hall

202A

1

Topology and Analysis

Sarason

Folland "Real Analysis" (2nd ed.)

Wiley

204A

1

Ord. and Part. Diff. Equations

Rezakhanlou

No Text Required

206

1

Banach Alg. Spec. Theory

Rieffel

Conway "A Couse in Functional Analysis" (2nd ed.)

Springer

215A

1

Algebraic Topology

Hutchings

Hatcher "Algebraic Topology" (1st ed., 2001)

Cambridge

Bredon "Topology and Geometry" (1st ed., 1997) (Optional)

Springer

221

1

Adv. Matrix Comput.

Kahan

To Be Announced

222A

1

Part. Diff. Equations

Zworski

Evans "Partial Differential Equations" (1998)

AMS

Hormander "The Analysis of Linear Partial Differential Operators I" (2nd ed., 2003)

Springer

224A

1

Math. Mth. Phys. Sci.

Rezakhanlou

No Text Required

225A

1

Metamathematics

Silver

To Be Announced

227A

1

Theory Recurs. Functs.

Harrington

Soare "Recursively Enumerable Sets & Degrees" (1st ed., 1987)

Springer

228A

1

Num. Sol. Diff. Equations

Strain

Ascher, Mattheij & Russell "Numerical Solution of Boundary Value Problems for Ordinary Differential Equations" (1995) (Optional)

SIAM

Hairer, Norsett & Wanner "Solving Ordinary Differential Equations I" (2nd ed., 2002) (Optional)

Springer

Hairer & Wanner "Solving Ordinary Differential Equations II" (2nd ed., 2004) (Optional)

Springer

242

1

Symplectic Geometry

Weinstein

DaSilva "Lectures on Symplectic Geometry" (2001)

Springer

249

1

Alge. Combinatorics

Pachter

Lecture notes available through Copytech at MIT: http://www-math.mit.edu/~guidi/18.135-order.from.copytech

MIT

Stanley "Enumerative Combimatorics" Vols 1 & 2 (Optional)

Cambridge

250A

1

Groups Rings and Fields

Vojta

Lang "Algebra" (3rd ed., 2002)

Springer

252

1

Representations

Serganova

Serre "Linear Representations of Finite Groups" (1993) (Optional)

Springer

Gabriel & Roiter "Representations of Finite-Dimensional Algebras" (1997) (Optional)

Springer

254A

1

Number Theory

Osserman

Lang "Algebraic Number Theory" (2nd ed.)

Springer

Cox "Primes of the Form x2+ny2" (1997) (Optional)

Wiley

256A

1

Algebraic Geometry

Haiman

Liu "Algebraic Geometry & Arithmetic Curves" (1st ed., 2002)

Oxford

257

1

Group Theory

Stallings

No Text Required

275

1

Topics in Applied Math

Wilkening

Braess "Finite Elements" (2nd ed., 2001)

Cambridge

Pozrikidis "Boundary Integral and Singularity Methods for Linearized Viscous Flow" (1992) (Optional)

Cambridge

276

1

Topics in Topology

Teichner

No Text Required

279

1

Topics in Nonlinear Elliptic Eqns.

Trudinger

Gilbarg & Trudinger "Elliptic Partial Differential Equations of Second Order" (1st ed., 2001)

Springer

300

1

Teaching Workshop

Wu

No Text Required