Fall 2006 Textbooks

Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Borcherds

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

Thomson Learning

1A

2

Calculus

Haiman

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

Thomson Learning

1A

3

Calculus

Steel

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

Thomson Learning

1B

1

Calculus

Tataru

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

Thomson Learning

1B

2

Calculus

Olsson

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

Thomson Learning

16A

1

Analytic Geometry & Calculus

Woodin

Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7

Prentice-Hall

16A

2

Analytic Geometry & Calculus

Poonen

Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7

Prentice-Hall

16B

1

Analytic Geometry & Calculus

Harrington

Goldstein "Calculus & Its Applications" (11th ed.) ISBN#053-626767-7

Prentice-Hall

32

1

Precalculus

Staff

Cohen "Precalculus" (6th ed.)

Thomson Learning

53

1

Multivariable Calculus

Givental

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

Thomson Learning

53

2

Multivariable Calculus

Rezakhanlou

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

Thomson Learning

54

1

Linear Algebra & Differential Equations

Gu

Boyce Diprima "Elementary Differential Equations & Boundary Value Problems" (8th ed.)

Wiley

 

 

 

 

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

Thomson

54

2

Linear Algebra & Differential Equations

Voiculescu

Boyce Diprima "Elementary Differential Equations & Boundary Value Problems" (8th ed.)

Wiley

 

 

 

 

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

Thomson

55

1

Discrete Mathematics

Holtz

Rosen "Discrete Mathematics & It's Applications" (6th ed.) ISBN#0073229725

McGraw-Hill

 

 

 

 

Grahm, Knuth and Patashnik "Concrete Mathematics" (2nd ed.) (Optional)

Addison-Wesley

74

1

Transition to Upper Division Mathematics

Staff

TBA

 

74

2

Transition to Upper Division Mathematics

Staff

TBA

 

H90

1

Honors Undergrad Seminar in Mathematical Problem Solving

Kahan

TBA

 

104

1

Introduction to Analysis

Zhan

Ross "Elementary Analysis: The Theory of Calculus&

Springer

104

2

Introduction to Analysis

Reimann

Ross "Elementary Analysis: The Theory of Calculus&

Springer

104

3

Introduction to Analysis

Zhan

Ross "Elementary Analysis: The Theory of Calculus&

Springer

104

4

Introduction to Analysis

Jones

Pugh "Real Mathematical Analysis"

Springer

104

5

Introduction to Analysis

Chorin

Ross "Elementary Analysis: The Theory of Calculus&

Springer

H104

1

Honors Introduction to Analysis

Bergman

Rudin "Principles of Mathematics Analysis& (3rd ed.)

McGraw-Hill

110

1

Linear Algebra

Holtz

Friedberg, Insel & Spence "Linear Algebra" (4th ed.)

Pearson Ed.

H110

1

Honors Linear Algebra

Harrison

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

Springer

113

1

Abstract Algebra

Caviglia

Beachy & Blair "Abstract Algebra"

Waveland Press

113

2

Abstract Algebra

Mason

Fraleigh "A First Course in Abstract Algebra"

Prentice-Hall

113

3

Abstract Algebra

Givental

Solomon "Abstract Algebra"

Thomson/Brooks Cole

113

4

Abstract Algebra

Krueger

Dummit & Foote "Abstract Algebra"

Wiley

115

1

Introduction to Number Theory

Ribet

Erdos & Suranyi "Topics in the Theory of Numbers"

Springer

118

1

Wavelets and Signal Processing

Evans

Bogess & Narcowich "A First Course in Wavelets with Fourier Analysis"

Prentice-Hall

121A

1

Mathematical Tools for the Physical Sciences

Gurevich

Boas "Mathematical Methods in the Physical Sciences" (3rd ed.)

Wiley

123

1

Ordinary Differential Equations

Coleman

"Ordinary Differential Equations & Stability Theory: An Introduction" (please purchase from Professor Coleman)

 

 

 

 

 

Sanchez "Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Material)" (Optional) (available at the bookstore)

 

125A

1

Mathematical Logic

Slaman

Will use own notes.

 

128A

1

Numerical Analysis

Tu

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

Thomson/Brooks Cole

135

1

Introduction to the Theory of Sets

Silver

Enderton "Elements of Set Theory"

Academic Press

140

1

Metric Differential Geometry

Evans

Millman & Parker "Elements of Differential Geometry"

Prentice-Hall

141

1

Elementary Differential Topology

Karp

Guillemin & Pollack "Differential Topology" (1974)

Prentice-Hall

151

1

School Curriculum

Wu

No text used.

 

185

1

Complex Analysis

Teleman

Needham "Visual Complex Analysis" (1999)

Oxford University Press

185

2

Complex Analysis

Kahan

TBA

 

185

3

Complex Analysis

Metcalfe

Brown & Churchill "Complex Variables and Applications"

McGraw-Hill

202A

1

Topology & Analysis

Holmer

Stein & Shakarchi "Real Analysis: Measure Theory, Integration & Hilbert Spaces" (2005)

Princeton University Press

 

 

 

 

Royden "Real Analysis" (3rd ed.) (Optional)

Prentice-Hall

204A

1

Ordinary and Partial Differential Equations

Wilkening

Coddington "Theory of Ordinary Differential Equations" (1955)

Krieger Publishing Co.

205

1

Theory of Functions of a Complex Variable

Sarason

Ahlfors "Complex Variables" (3rd ed.)

McGraw-Hill

206

1

Banach Algebras & Spectral Theory

Sarason

Rudin "Functional Analysis" (2nd ed.)

McGraw-Hill

215A

1

Algebraic Topology

Teichner

Hatcher "Algebraic Topology"

Cambridge University Press

 

 

 

 

Bredon "Topology and Geometry" (Optional)

Springer

221

1

Advanced Matrix Computations

Strain

Demmel "Applied Numerical Linear Algebra" (1997)

SIAM

 

 

 

 

Trefethen "Numerical Linear Algebra" (1997) (Optional)

SIAM

 

 

 

 

Golub & Van Loan "Matrix Computations" (Optional)

Johns Hopkins University Press

 

 

 

 

Higham "Accuracy & Stability of Numerical Algorithms" (1996) (Optional)

SIAM

222A

1

Partial Differential Equations

Tataru

Evans "Partial Differential Equations" (1998)

AMS

224A

1

Mathematical Methods for the Physical Sciences

Rezakhanlou

No text used.

 

225A

1

Metamathematics

Harrington

Hodges "A Shorter Model Theory" (Optional)

Cambridge University Press

228A

1

Numerical Solution of Differential Equations

Wilkening

Iserles "A First Course in the Numerical Analysis of Differential Equations"

Cambridge University Press

 

 

 

 

Morton "Numerical Solution of Partial Differential Equations"

Cambridge University Press

 

 

 

 

Hairer "Solving Ordinary Differential Equations" (Optional)

Springer

229

1

Theory of Models

Scanlon

No text used.

 

242

1

Riemannian Geometry

Blohmann

Ana Cannas da Silva "Lectures on Symplectic Geometry"

Springer

249

1

Algebraic Combinatorics

Serganova

Stanley "Enumerative Combinatorics" (Vol. I & II)

Cambridge University Press

250A

1

Groups Rings and Fields

Bergman

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

Springer

254A

1

Number Theory

Vojta

Neukirch "Algebraic Number Theory" (1999)

Springer

256A

1

Algebraic Geometry

Osserman

Hartshorne "Algebraic Geometry" (1997)

Springer

 

 

 

 

Eisenbud & Harris "The Geometry of Schemes" (2001) (Optional)

Springer

258

1

Classical Harmonic Analysis

Christ

Katznelson "An Introduction to Harmonic Analysis" (Optional)

Dover

 

 

 

 

E.M. Stein "Harmonic Analysis: Real-Variable Methods, Orthogonality, & Oscillatory Integrals" (Optional)

Princeton University Press

270

1

Hot Topics in Mathematics

Teichner

No text used.

 

271

1

Topics in Foundations

Addison

No text used.

 

274

1

Topics in Algebra

Lam

Kaplansky "Commutative Rings" (The textbook is available only through Polygonal Publishing House and costs a modest $18 with a possible discouont if multiple copies are ordered. Please contact Professor Lam regarding the purchase of this textbook.)

Polygonal Publishing House

 

 

 

 

Atiyah-MacDonald "Introduction to Commutative Algebra" (Optional)

Addison-Wesley

 

 

 

 

Hutchins "Examples of Commutative Rings" (Optional)

Polygonal Publishing House

 

 

 

 

Lam "First Course in Noncommutative Rings" (Optional)

Springer

279

1

Topics in Partial Differential Equations

Zworski

Will use on-line notes.

 

300

1

Teaching Workshop

 

To Be Announced