Spring 2009 Textbooks

Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Stankova

Stewart, Single Variable Calculus, Early Transcendentals (Custom) ISBN#1-424-05500-8

Cengage

1B

1

Calculus

Ratner

Stewart, Single Variable Essential Calculus (Custom) ISBN#0-495-43945-2

Cengage

1B

2

Calculus

Ratner

Stewart, Single Variable Essential Calculus (Custom) ISBN#0-495-43945-2

Cengage

1B

3

Calculus

Borcherds

Stewart, Single Variable Essential Calculus (Custom) ISBN#0-495-43945-2

Cengage

16A

1

Analytic Geometry & Calculus

Woodin

Goldstein, Brief Calculus, Vol. I

Prentice-Hall

16B

1

Analytic Geometry & Calculus

Harrington

Goldstein, Brief Calculus, Vol. II

Prentice-Hall

16B

2

Analytic Geometry & Calculus

Scanlon

Goldstein, Brief Calculus, Vol. II

Prentice-Hall

24

1

Freshman Seminars

Grünbaum

No Required Textbook

 

24

2

Freshman Seminars

Harrison

No Required Textbook

 

32

1

Precalculus

Rose

Cohen, Precalculus, 6th edition

ITP

53

1

Multivariable Calculus

Sethian

Stewart, Multivariable Calculus: Early Transcendentals (Custom) ISBN#1-424-05499-0

Cengage

54

1

Linear Algebra & Differential Equations

Vojta

Lay, Linear Algebra & It's Applications (Custom)

Pearson

 

 

 

 

Nagle, Saff & Snider, Fundamentals of Differential Equations and Boundary Value Problems (Custom)

 

54

2

Linear Algebra & Differential Equations

Wagoner

Lay, Linear Algebra & It's Applications (Custom)

Pearson

 

 

 

 

Nagle, Saff & Snider, Fundamentals of Differential Equations and Boundary Value Problems (Custom)

 

55

1

Discrete Mathematics

Sturmfels

Rosen, Discrete Mathematics & It's Applications

McGraw-Hill

74

1

Transition to Upper Division Mathematics

Staff

TBA

 

104

1

Introduction to Analysis

Gurevitch

Rudin, Principles of Mathematical Analysis

McGraw-Hill

104

2

Introduction to Analysis

Parker

Pugh, Real Mathematical Analysis

Springer

104

3

Introduction to Analysis

Herr

Rudin, Principles of Mathematical Analysis (Optional)

McGraw-Hill

 

 

 

 

Ross, Elementary Analysis: Theory of Calculus

Springer

104

4

Introduction to Analysis

Klass

Rudin, Principles of Mathematical Analysis

McGraw-Hill

 

 

 

 

Ross, Elementary Analysis: Theory of Calculus

Springer

104

5

Introduction to Analysis

Lim

Ross, Elementary Analysis: Theory of Calculus

Springer

105

1

Analysis II

Krueger

Munkres, Analysis on Manifolds

Westview Press

 

 

 

 

Wilcox & Myers, An Introduction to Lebesque Integration and Fourier Series

Dover

110

1

Linear Algebra

Hald

Axler, Linear Algebra Done Right

Springer

110

2

Linear Algebra

Sussan

Axler, Linear Algebra Done Right

Springer

110

3

Linear Algebra

Wodzicki

Friedberg, Insel & Spence, Linear Algebra, 4th edition

Prentice-Hall

110

4

Linear Algebra

Mok

Friedberg, Insel & Spence, Linear Algebra, 4th edition

Prentice-Hall

110

5

Linear Algebra

Givental

Will Use Notes

 

113

1

Abstract Algebra

Paulin

Cohn, Classical Algebra

John Wiley

113

2

Abstract Algebra

Mok

Friedberg, A First Course in Abstract Algebra

Addison-Wesley

113

3

Abstract Algebra

Paulin

Cohn, Classical Algebra

John Wiley

113

4

Abstract Algebra

Parker

Fraleigh, A First Course in Abstract Algebra

Pearson

H113

1

Honors Abstract Algebra

Bergman

Dummitt & Foote, Abstract Algebra, 3rd edition (2004)

Wiley

114

1

Abstract Algebra II

Lim

Fraleigh, A First Course in Abstract Algebra

Pearson

116

1

Cryptography

Ribet

Hoffstein, Pipher & Silverman, An Introduction to Mathematical Cryptography

Springer

118

1

Fourier Analysis Wavelets & Signal Processing

Wilkening

Bogess/Narcowich, A First Course in Wavelets with Fourier Analysis (Note: Book is out of print (reader may be available at Copy Central, 2560 Bancroft Way).

Prentice-Hall

121A

1

Mathematical Tools for the Physical Sciences

Gurevich

Boas, Mathematical Methods in the Physical Sciences, 3rd edition

Wiley

121B

1

Mathematical Tools for the Physical Sciences

Serganova

Boas, Mathematical Methods in the Physical Sciences, 3rd edition

Wiley

126

1

Introduction to Partial Differential Equations

Neu

Strauss, Partial Differential Equations, 2nd edition

Wiley

128A

1

Numerical Analysis

Persson

Burden & Faires, Numerical Analysis, 8th edition

Cengage

128B

1

Numerical Analysis

Gu

Burden & Faires, Numerical Analysis, 8th edition

Cengage

130

1

The Classical Geometries

Serganova

Hartshorne, Geometry: Euclid & Beyond

Springer

135

1

Introduction to the Theory of Sets

Scanlon

Enderton, Elements of Set Theory (1977)

Academic Press

136

1

Incompleteness & Undecidability

Steel

Cutland, Computability: An Introduction to Recursive Theory

Cambridge Univ. Press

140

1

Metric Differential Geometry

Rezakhanlou

Millman & Parker, Elements of Differential Geometry

Pearson

141

1

Elementary Differential Topology

Kirby

Munkres, Analysis on Manifolds

Perseus Books

151

1

Mathematics of the Secondary School Curriculum

Wu

Will Use Notes (Available at Copy Central, 2560 Bancroft Way)

 

153

1

Mathematics of the Secondary School Curriculum

Wu

Will Use Notes (Available at Copy Central, 2560 Bancroft Way)

 

170

1

Mathematical Methods for Optimization

Strain

Franklin, Methods of Mathematical Economics: Linear and Nonlinear Programming Fixed-Point Theorems

SIAM

172

1

Combinatorics

Velasco

Bona, A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory

World Scientific

185

1

Complex Analysis

Lott

Brown/Churchill, Complex Variables and Applications, 8th edition

McGraw-Hill

185

2

Complex Analysis

Herr

Brown/Churchill, Complex Variables & Applications, 8th edition (Optional)

McGraw-Hill

 

 

 

 

Sarason, Complex Function Theory

AMS

185

3

Complex Analysis

Aldi

Stein & Shakarchi, Complex Analysis

Princeton Univ. Press

H185

1

Honors Complex Analysis

Ratner

Conway, Functions of One Complex Variable

Springer

191

1

Experimental Course in Mathematics

Grünbaum

No Required Textbook

 

202B

1

Topology & Analysis

Sarason

Folland, Real Analysis, 2nd edition (Optional)

Wiley Interscience

 

 

 

 

Rudin, Functional Analysis, 2nd edition (Optional)

McGraw-Hill

203

1

Asymptotic Analysis

Neu

Will Use Notes

 

206

1

Banach Algebras and Spectral Theory

Rieffel

Conway, A Course in Functional Analysis, 2nd edition

Springer

208

1

C*-Algebras

Rieffel

Davidson, C*-Algebras by Example (Optional)

AMS

209

1

Von Neumann Algebras

Voiculescu

No Required Textbook

 

215B

1

Algebraic Topology

Agol

Hatcher, Algebraic Topology (2002)

Cambridge Univ. Press

 

 

 

 

Milnor & Stasheff, Characteristic Classes

Princeton Univ. Press

219

1

Ordinary Differential Equations and Flows

Rezakhanlou

No Required Textbook

 

220

1

Methods of Applied Mathematics

Chorin

PDF file will be provided to students at no cost.

 

222B

1

Partial Differential Equations

Evans

Evans, Partial Differential Equations (1998)

AMS

224B

1

Mathematical Methods for the Physical Sciences

Grünbaum

Stakgold, Green's Functions and Boundary Value Problems, 2nd ed.

Wiley Interscience

225B

1

Metamathematics

Reimann

No Required Textbook

 

228B

1

Numerical Solution of Differential Equations

Strain

Ern & Guermond, Theory and Practice of Finite Elements

Springer

236

1

Metamathematics Set Theory

Krueger

No Required Textbook

 

242

1

Symplectic Geometry

Hutchings

McDuff & Salamon, Introduction to Symplectic Topology, 2nd edition

Oxford Univ. Press

 

 

 

 

Geiges, An Introduction to Contact Topology, 1st edition (Optional)

Cambridge Univ. Press

249

1

Algebraic Combinatorics

Pachter

Stanley, Enumerative Combinatorics, Vol. I

Cambridge Univ. Press

 

 

 

 

Stanley, Enumerative Combinatorics, Vol. II (Optional)

Cambridge Univ. Press

250B

1

Multilinear Algebra and Further Topics

Vojta

Eisenbud, Commutative Algebra with View Toward Algebraic Geometry (1995)

Springer

252

1

Representation Theory

Rhoades

No Required Textbook

 

254B

1

Number Theory

Coleman

Serre, Local Fields GTM

Springer

255

1

Alebraic Curves

Waldorf

Miranda, Algebraic Curves and Riemann Surfaces (1995) (Optional)

AMS

256B

1

Algebraic Geometry

Ogus

Hartshorne, Algebraic Geometry

Springer

257

1

Group Theory

Hill

Kleshchev, Linear and Projective Representations of Symmetric Groups (Optional)

Cambridge Univ. Press

261B

1

Lie Groups

Reshetikhin

Will Use Notes

 

270

1

Topics in Mathematics

Teichner

No Required Textbook

 

270

2

Hot Topics in Mathematics

Harrington

TBA

 

274

1

Topics in Algebra

Sturmfels

No Required Textbook

 

274

2

Topics in Algebra

Wodzicki

No Required Textbook

 

275

1

Topics in Applied Mathematics

Barenblatt

Barenblatt, Scaling

Cambridge Univ. Press

 

 

 

 

Chorin & Marsden, A Mathematical Introduction to Fluid Mechanics, 3rd edition

Springer

 

 

 

 

Batchelor, An Introduction to Fluid Dynamics (1998)

Cambridge Univ. Press

 

 

 

 

Landau & Lifshits, Theory of Elasticity, New York (1986)

Pergamon Press

 

 

 

 

Landau & Lifshits, Fluid Mechanics

Pergamon Press

278

1

Topics in Analysis

Voiculescu

No Required Textbook