Spring 2008 Textbooks

Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Wilkening

Stewart, Single Variable Essential Calculus

Thomson Learning

1B

1

Calculus

Jones

Stewart, Single Variable Essential Calculus

Thomson Learning

1B

2

Calculus

Serganova

Stewart, Single Variable Essential Calculus

Thomson Learning

1B

3

Calculus

Ratner

Stewart, Single Variable Essential Calculus

Thomson Learning

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 Textbook Used

 

24

2

Freshman Seminars

Harrison

No Textbook Used

 

24

3

Freshman Seminars

Kirby

Colin C. Adams, The Knot Book

AMS

24

4

Freshman Seminars

Weinstein

Sander Bais, Very Special Relativity

Harvard Univ. Press

24

5

Freshman Seminars

Woodin

Rudy Rucker, Infinity and The Mind: The Science and Philosophy of the Infinite

Princeton

32

1

Precalculus

Staff

Cohen, Precalculus, 6th edition

ITP

53

1

Multivariable Calculus

Neu

Stewart, Multivariable Essential Calculus

Thomson Learning

53

2

Multivariable Calculus

Steel

Stewart, Multivariable Essential Calculus

Thomson Learning

H53

1

Honors Multivariable Calculus

Daenzer

Stewart, Multivariable Essential Calculus

Thomson Learning

54

1

Linear Algebra & Differential Equations

Tataru

TBA

 

54

2

Linear Algebra & Differential Equations

Chorin

TBA

 

55

1

Discrete Mathematics

Strain

Rosen, Discrete Mathematics & It's Applications

McGraw-Hill

74

1

Transition to Upper Division Mathematics

Booth

Daniel Velleman, How to Prove It: A Structured Approach

Cambridge Univ. Press

74

2

Transition to Upper Division Mathematics

Varilly

Peter Eccles, An Introduction to Mathematical Reasoning: Numbers, Sets and Functions

Cambridge Univ. Press

98

5

MATLAB Adjunct to Math 128A

Trokhimtchouk

Introduction to MATLAB Programming: With an Emphasis on Software Design Through Numerical Examples

Decagon Press

98

6

MATLAB Adjunct to Math 128A

Trokhimtchouk

Introduction to MATLAB Programming: With an Emphasis on Software Design Through Numerical Examples

Decagon Press

104

1

Introduction to Analysis

Hill

Rudin, Principles of Mathematical Analysis

McGraw-Hill

104

2

Introduction to Analysis

Reimann

Pugh, Real Mathematical Analysis

Springer

104

3

Introduction to Analysis

Gasparim

Rudin, Principles of Mathematical Analysis

McGraw-Hill

104

4

Introduction to Analysis

Karp

Ross, Elementary Analysis: Theory of Calculus

Springer

105

1

Analysis II

Ratner

Royden, Real Analysis, 3rd edition

Von Holtzbrinck

 

 

 

 

Rudin, Principles of Mathematical Analysis

McGraw-Hill

110

1

Linear Algebra

Greicius

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

Prentice-Hall

110

2

Linear Algebra

Aldi

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

Prentice-Hall

110

3

Linear Algebra

Velasco

Sheldon Axler, Linear Algebra Done Right

Springer

110

4

Linear Algebra

Krueger

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

Prentice-Hall

110

5

Linear Algebra

Lim

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

Prentice-Hall

 

 

 

 

Lars Elden, Matrix Methods in Data Mining and Pattern Recognition (Optional)

SIAM

 

 

 

 

P. C. Hansen, J. G. Nagy & D. P. O'Leary, Deblurring Images: Matrices, Spectra and Filtering (Optional)

SIAM

113

1

Abstract Algebra

Gurevich

Artin, Algebra

Prentice-Hall

113

2

Abstract Algebra

Mok

Fraleigh, A First Course in Abstract Algebra, 7th edition

Addison-Wesley

113

3

Abstract Algebra

Ogus

Beachy/Blair, Abstract Algebra

Waveland Press

113

4

Abstract Algebra

Wodzicki

Fraleigh, A First Course in Abstract Algebra, 7th edition

Addison-Wesley

H113

1

Honors Abstract Algebra

Givental

Herstein, Topics in Algebra, 2nd edition

Wiley

114

1

Abstract Algebra II

Olbermann

Ian Stewart, Galois Theory (Reader made available at Copy Central, 2560 Bancroft Way)

 

121A

1

Mathematical Tools for the Physical Sciences

Gurevich

Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edition

Wiley

121B

1

Mathematical Tools for the Physical Sciences

Serganova

Mary L. Boas, Mathematical Methods in the Physical Sciences, 3rd edition

Wiley

125A

1

Mathematical Logic

Harrington

Will Use Notes (by Slaman/Woodin) (Available at Copy Central, 2560 Bancroft Way)

 

126

1

Introduction to Partial Differential Equations

Tu

Strauss, Partial Differential Equations

Wiley

128A

1

Numerical Analysis

Gu

Burden & Faires, Numerical Analysis

ITP

 

 

 

 

J. Dorfman, Introduction to MATLAB Programming: With an Emphasis on Software Design Through Numerical Examples (Optional)

Decagon Press

128B

1

Numerical Analysis

Kahan

TBA

 

130

1

The Classical Geometries

Wodzicki

Rey Casse, Projective Geometry: An Introduction

Oxford Univ. Press

135

1

Introduction to the Theory of Sets

Scanlon

Enderton, Elements of Set Theory (1977)

Academic Press

142

1

Elementary Algebraic Topology

Aldi

Armstrong, Basic Topology

Springer

151

1

Mathematics of the Secondary School Curriculum

Slaman

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

 

152

1

Mathematics of the Secondary School Curriculum

Wu

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

 

160

1

History of Mathematics

Wu

Carl B. Boyer & Uta C. Merzbach, A History of Mathematics

John Wiley & Sons

172

1

Combinatorics

Sussan

Bona, Intro to Enumerative Combinatorics

McGraw-Hill

185

1

Complex Analysis

Olbermann

Sarason, Notes on Complex Function Theory

Helson

185

2

Complex Analysis

Vojta

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

McGraw-Hill

185

3

Complex Analysis

Velasco

Joseph Bak & Donald J. Newman, Complex Analysis

Springer

H185

1

Honors Complex Analysis

Kahan

TBA

 

189

1

Mathematical Methods in Classical and Quantum Mechanics

Voiculescu

Hannabuss, An Introduction to Quantum Theory (1977) (Optional)

Oxford Univ. Press

202B

1

Topology & Analysis

Rieffel

G. K. Pedersen, Analysis Now

Springer

 

 

 

 

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

Princeton Univ. Press

 

 

 

 

Royden, Real Analysis (1988) (Optional)

Prentice-Hall

208

1

C*-Algebras

Rieffel

K. R. Davidson, C*-Algebras by Example, Fields Institute Monographs (Strongly Recommended)

AMS

215B

1

Algebraic Topology

Kirby

Hatcher, Algebraic Topology (2002)

Cambridge Univ. Press

220

1

Methods of Applied Mathematics

Grünbaum

Karlin & Taylor, A Second Course on Stochastic Processes (Optional)

Academic Press

 

 

 

 

Chorin/Hald, Stochastic Tools inMath & Science (Optional)

Springer

 

 

 

 

Paul & Baschnagel, Stochastic Processes from Physics to Finance (Optional)

Springer

 

 

 

 

Stroock, An Introduction to Markov Processes (Optional)

Springer

 

 

 

 

Itzykson Drouffe, Statistical Field Theory (Optional)

Cambridge Univ. Press

 

 

 

 

S. Asmussen, Applied Probability and Queues (Optional)

Springer

222B

1

Partial Differential Equations

Holmer

Evans, Partial Differential Equations

AMS

224B

1

Mathematical Methods for the Physical Sciences

Grünbaum

No Textbook Used

 

225B

1

Metamathematics

Silver

No Required Textbook

 

227B

1

Theory of Recursive Functions

Slaman

No Textbook Used

 

228B

1

Numerical Solution of Differential Equations

Sethian

Randall Leveque, Finite Difference Methods for Ordinary and Partial Differential Equations: Steady State and Time Dependent Problems (2007)

SIAM

235A

1

Theory of Sets

Steel

No Textbook Used

 

239

1

Discrete Mathematics Life Science

Pachter

Pachter/Sturmfels, Algebraic Statistics for Computational Biology

Cambridge Univ. Press

241

1

Complex Manifolds

Teleman

R. O. Wells, Differential Analysis on Complex Manifolds

Springer

 

 

 

 

George Springer, Introduction to Riemann Surfaces, 2nd edition

AMS

242

1

Symplectic Geometry

Rezakhanlou

Will Distribute Notes in Class

 

245A

1

General Theory of Algebraic Structures

Bergman

Will Use Notes

 

250B

1

Multilinear Algebra and Further Topics

Eisenbud

Eisenbud, Commutative Algebra with View Toward Algebraic Geometry

Springer

253

1

Homological Algebra

Teichner

Kenneth S. Brown, Cohomology of Groups (Optional)

Springer

 

 

 

 

Gelfand & Manin, Methods of Homological Algebra: Springer Monographs in Mathematics, 2nd edition (Optional)

Springer

254B

1

Number Theory

Borcherds

Neukirch, Algebraic Number Theory (1999) (Optional)

Springer

 

 

 

 

Cassels & Frolich, Algebraic Number Theory (1986) (Reader available at Copy Central, 2560 Bancroft Way) (Optional)

Academic Press

256B

1

Algebraic Geometry

Olsson

Hartshorne, Algebraic Geometry, GTM 52 (1977)

Springer

270

1

Hot Topics in Mathematics

Teichner

Will Use Papers

 

274

1

Topics in Algebra

Coleman

Vladimir G. Berkovich, Spectral Theory and Analytic Geometry Over Non-Archimedean Fields (Mathematical Surveys and Monographs) (Hardcover) (1990)

 

 

 

 

 

S. Bosch, U. Guntzerm & R. Remmert, Non-Archimedean Analysis: A Systematic Approach to Rigid Analytic Geometery (Grundlehren der Mathematischen Wissenschaften) (Hardcover)

 

 

 

 

 

Vladimir G. Berkovich, Integration of One-Forms on P-Adic Spaces (AM-162) (Annals of Mathematics Studies, Nov. 13, 2006) (Optional)

 

276

1

Topics in Topology

Broue

No Textbook Used

 

277

1

Topics in Differential Geometry

Hutchings

No Textbook Used

 

277

2

Topics in Differential Geometry

Gasparim

J. Milnor & J. Stasheff, Characteristic Classes (Optional)

Princeton Univ. Press

279

1

Topics in Partial Differential Equations

Tataru

No Textbook Used