Fall 2007 Textbooks

Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Vojta

Stewart, Single Variable Essential Calculus

Thomson Learning

1A

2

Calculus

Hald

Stewart, Single Variable Essential Calculus

Thomson Learning

1A

3

Calculus

Wodzicki

Stewart, Single Variable Essential Calculus

Thomson Learning

1B

1

Calculus

Reshetikhin

Stewart, Calculus, Early Transcendentals, 5th edition or Custom 1A/1B

Thomson Learning

1B

2

Calculus

Zworski

Stewart, Calculus, Early Transcendentals, 5th edition or Custom 1A/1B

Thomson Learning

16A

1

Analytic Geometry & Calculus

Wagoner

Goldstein, Calculus & It's Applications, Vol. I

Prentice-Hall

16A

2

Analytic Geometry & Calculus

Stankova

Goldstein, Calculus & It's Applications, Vol. I

Prentice-Hall

16B

1

Analytic Geometry & Calculus

Silver

Goldstein, Calculus & It's Applications, Vol. II

Prentice-Hall

24

1

Freshman Seminars

Grünbaum

No Text Used

 

24

2

Freshman Seminars

Harrison

No Text Used

 

32

1

Precalculus

Staff

Cohen, Precalculus, 6th edition

Thomson Learning

53

1

Multivariable Calculus

Givental

Stewart, Multivariable Essential Calculus (Custom 53)

Thomson Learning

53

2

Multivariable Calculus

Hutchings

Stewart, Multivariable Essential Calculus (Custom 53)

Thomson Learning

54

1

Linear Algebra & Differential Equations

Ogus

Bretscher/Nagle, Differential Equations (Pkg. UC Berkeley)

 

54

2

Linear Algebra & Differential Equations

Gu

Bretscher/Nagle, Differential Equations (Pkg. UC Berkeley)

 

H54

1

Honors Linear Algebra & Differential Equations

Voiculescu

Bretscher/Nagle, Differential Equations (Pkg. UC Berkeley)

 

74

1

Transition to Upper Division Mathematics

Courtney

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

Cambridge University Press

74

2

Transition to Upper Division Mathematics

Canez

Daniel Solow, How to Do and Read Proofs

Wiley

H90

1

Honors Undergrad Seminar in Mathematical Problem Solving

Kahan

No Text Used

 

104

1

Introduction to Analysis

Reimann

Pugh, Real Mathematical Analysis (2002)

Springer

104

2

Introduction to Analysis

Krueger

Rudin, Principles of Mathematical Analysis

McGraw-Hill

104

3

Introduction to Analysis

Klass

Rudin, Principles of Mathematical Analysis

McGraw-Hill

 

 

 

 

Ross, Elementary Analysis: The Theory of Calculus

Springer

104

4

Introduction to Analysis

Karp

TBA

 

104

5

Introduction to Analysis

Gurevich

Rudin, Principles of Mathematical Analysis

McGraw-Hill

H104

1

Honors Introduction to Analysis

Sussan

Rudin, Principles of Mathematical Analysis

McGraw-Hill

110

1

Linear Algebra

Daenzer

Sheldon Axler, Linear Algebra Done Right

Springer

110

2

Linear Algebra

Aldi

Friedberg, Insel & Spence, Linear Algebra

Prentice-Hall

110

3

Linear Algebra

Lim

Gilbert Strang, Linear Algebra & It's Applications, 4th edition

Thomson Learning

 

 

 

 

Gilbert Strang, Introduction to Linear Algebra, 3rd edition (Optional)

Wellesley Cambridge

110

4

Linear Algebra

Reimann

Friedberg, Insel & Spence, Linear Algebra

Prentice-Hall

110

5

Linear Algebra

Mok

Friedberg, Insel & Spence, Linear Algebra

Prentice-Hall

H110

1

Honors Linear Algebra

Coleman

Sheldon Axler, Linear Algebra Done Right

Springer

113

1

Abstract Algebra

Scanlon

Fraleigh, A First Course in Abstract Algebra

Addison-Wesley

113

2

Abstract Algebra

Serganova

Hungerford, Abstract Algebra: An Introduction

Saunders Publishing Co.

113

3

Abstract Algebra

Hill

Beachy/Blair, Abstract Algebra, 3rd edition

Waveland Press

113

4

Abstract Algebra

Olbermann

Fraleigh, A First Course in Abstract Algebra

Addison-Wesley

115

1

Introduction to Number Theory

Mok

Niven, Zuckerman & Montgomery, An Introduction to the Theory of Numbers

Wiley

118

1

Wavelets & Signal Processing

Evans

Boggess/Narcowich, First Course in Wavelets with Fourier Analysis

Prentice-Hall

121A

1

Mathematical Tools for the Physical Sciences

Neu

Mary L. Boas, Mathematical Methods in the Physical Sciences

Wiley

121A

2

Mathematical Tools for the Physical Sciences

Grünbaum

Mary L. Boas, Mathematical Methods in the Physical Sciences

Wiley

123

1

Ordinary Differential Equations

Tataru

Hirsch, Smale & Devaney, Differential Equations and an Introduction to Chaos

Elsevier Science

125A

1

Mathematical Logic

Steel

Enderton, A Mathematical Introduction to Logic

Academic Press

127

1

Mathematical & Computational Methods in Molecular Biology

Pachter

Donier, Tavare & Waterman, Computational Genome Analysis: An Introduction

Springer

128A

1

Numerical Analysis

Tu

Burden & Faires, Numerical Analysis, 8th edition

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

153

1

School Curriculum

Wu

Will Use On-Line Notes

 

185

1

Complex Analysis

Lim

Bak & Newman, Complex Analysis, 2nd edition

Springer

 

 

 

 

Lang, Complex Analysis, 4th edition (Optional)

Springer

185

2

Complex Analysis

Vojta

Brown/Churchill, Complex Variables & Applications, 7th edition

McGraw-Hill

185

3

Complex Analysis

Velasco

Brown/Churchill, Complex Variables & Applications, 7th edition

McGraw-Hill

191

1

Seminar on Cryptography

Ribet

Douglas Stinson, Cryptography: Theory and Practice (Discrete Mathematics and It's Applications), 3rd edition (hardcover)

CRC Press, Inc.

202A

1

Topology & Analysis

Holmer

Royden, Real Analysis, 3rd edition (Optional)

Prentice-Hall

 

 

 

 

Stein, Real Analysis (2005) (Optional)

Princeton University Press

 

 

 

 

Munkres, Topology: A First Course (Optional)

Prentice-Hall

 

 

 

 

Anthony Knapp, Basic Real Analysis and Advanced Real Analysis Set (Cornerstone) (Optional)

Birkhauser

204A

1

Ordinary and Partial Differential Equations

Neu

Will Use Notes

 

205

1

Theory of Functions of a Complex Variable

Sarason

Ahlfors, Complex Analysis, 3rd edition

McGraw-Hill

206

1

Banach Algebras & Spectral Theory

Voiculescu

Douglas, Banach Algebra Techniques in Operator Theory (Optional)

Springer

 

 

 

 

Arveson, A Short Course on Spectral Theory (Optional)

Springer

212

1

Several Complex Variables

Christ

Lars Hormander, An Introduction to Complex Analysis in Several Variables, 3rd edition (Revised)

North Holland

 

 

 

 

Klaus Fritzsche & Hans Grauert, From Holomorphic Functions to Complex Manifolds (Optional)

Springer

214

1

Differentiable Manifolds

Givental

Spivak, A Comprehensive Introduction to Differential Geometry (Optional)

Publish or Perish

215A

1

Algebraic Topology

Hutchings

Hatcher, Algebraic Topology (2002)

Cambridge University Press

 

 

 

 

Bredon, Topology and Geometry (1993)

Springer

C218A

1

Probability Theory

Pitman

TBA

 

221

1

Advanced Matrix Computations

Gu

Demmel, Applied Numerical Linear Algebra

SIAM

222A

1

Partial Differential Equations

Hald

Evans, Partial Differential Equations

AMS

224A

1

Mathematical Methods for the Physical Sciences

Chorin

Ivar Stakgold, Green's Functions and Boundary Value Problems, 2nd edition (Optional)

Wiley Interscience

225A

1

Metamathematics

Krueger

Hodges, Shorter Model Theory

Cambridge University Press

 

 

 

 

Joseph Shoenfield, Mathematical Logic

A.K. Peters

228A

1

Numerical Solution of Differential Equations

Wilkening

Hairer, Solving Ordinary Differential Equations, Vols. I & II (Optional)

Springer

 

 

 

 

Iserles, First Course in the Numerical Analysis of Differential Equations

Cambridge University Press

250A

1

Groups Rings and Fields

Eisenbud

Lang, Algebra, 3rd edition

Springer

252

1

Representation Theory

Lam

Lam, A First Course in Noncommutative Rings, 2nd edition

Springer

 

 

 

 

James & Liebeck, Representations and Characters of Groups

Cambridge University Press

254A

1

Number Theory

Ogus

Neukirch, Algebraic Number Theory

Springer

255

1

Algebraic Curves

TBA

TBA

 

256A

1

Algebraic Geometry

Olsson

Hartshorne, Algebraic Geometry

Springer

270

1

Hot Topics in Mathematics

Teichner

No Textbooks Required

 

274

2

Topics in Algebra

Penkov

No Textbooks Required

 

276

1

Topics in Topology

Teichner

No Textbooks Required

 

276

2

Topics in Topology

Reshetikhin

No Textbooks Required

 

300

1

Teaching Workshop

 

TBA