Fall 2009 Textbooks


Course

Lec #

Course Title

Instructor

Author/Title

Publisher

1A

1

Calculus

Christ

Stewart, Single Variable Calculus (Custom Edition)

Cengage

1A

2

Calculus

Harrison

Stewart, Single Variable Calculus (Custom Edition)

Cengage

1A

3

Calculus

Borcherds

Stewart, Single Variable Calculus (Custom Edition)

Cengage

1B

1

Calculus

Vojta

Stewart, Single Variable Calculus (Custom Edition)

Cengage

1B

2

Calculus

Persson

Stewart, Single Variable Calculus (Custom Edition)

Cengage

16A

1

Analytic Geometry & Calculus

Scanlon

Goldstein/Lay/Schneider/Asmar Calculus & It's Applications, Vol I (Custom Edition) ISBN# 0-558-37269-4

Pearson

16A

2

Analytic Geometry & Calculus

Gu

Goldstein/Lay/Schneider/Asmar Calculus & It's Applications, Vol I (Custom Edition) ISBN# 0-558-37269-4

Pearson

16B

1

Analytic Geometry & Calculus

Silver

Goldstein/Lay/Schneider/Asmar Calculus & It's Applications, Vol II (Custom Edition) ISBN# 0-558-37274-0

Pearson

24

1

Freshman Seminars

Grünbaum

No Textbook Used

 

24

2

Freshman Seminars

Harrison

No Textbook Used

 

24

3

Freshman Seminars

Kirby

Colin Adams The Knot Book

AMS

32

1

Precalculus

Staff

Cohen, Precalculus, 6th edition

Cengage

53

1

Multivariable Calculus

Frenkel

Stewart, Multivariable Calculus (Custom Edition)

Thomson

53

2

Multivariable Calculus

Neu

Stewart, Multivariable Calculus (Custom Edition)

Thomson

54

1

Linear Algebra & Differential Equations

Teleman

Lay, Linear Algebra & Its Applications (Custom Edition)

Pearson (Custom)

 

 

 

 

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

Pearson (Custom)

54

2

Linear Algebra & Differential Equations

Voiculescu

Lay, Linear Algebra & Its Applications (Custom Edition)

Pearson (Custom)

 

 

 

 

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

Pearson (Custom)

H54

1

Honors Linear Algebra & Differential Equations

Daenzer

Lay, Linear Algebra & Its Applications (Custom Edition)

Pearson (Custom)

 

 

 

 

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

Pearson (Custom)

55

1

Discrete Mathematics

Strain

Rosen, Discrete Mathematics & It's Applications

McGraw-Hill

104

1

Introduction to Analysis

Agol

Pugh, Real Mathematical Analysis

Springer

104

2

Introduction to Analysis

CLOSED



104

3

Introduction to Analysis

Klass

Rudin, Principles of Real Mathemaical Analysis

McGraw-Hill

 

 

 

 

Ross, Elementary Analysis: The Theory of Calculus

Spriger

104

4

Introduction to Analysis

Sussan

Rudin, Principles of Real Mathemaical Analysis

McGraw-Hill

104

5

Introduction to Analysis

Yilmaz

Ross, Elementary Analysis: The Theory of Calculus

Springer

104

6

Introduction to Analysis

Aldi

Rudin, Principles of Real Mathemaical Analysis

McGraw-Hill

H104

1

Honors Introduction to Analysis

Wodzicki

Rudin, Principles of Real Mathemaical Analysis

McGraw-Hill

110

1

Linear Algebra

Haiman

Friedberg, Insel & Spence, Linear Algebra

Prentice-Hall

H110

1

Honors Linear Algebra

Rieffel

Friedberg, Insel & Spence, Linear Algebra

Prentice-Hall

113

1

Introduction to Abstract Algebra

Hill

Beachy & Blair, Abstract Algebra 3rd Ed.

Waveland

113

2

Introduction to Abstract Algebra

Pelayo



113

3

Introduction to Abstract Algebra

Paulin

P.M. Cohn, Clasical Algebra

John Wiley & Sons

113

4

Introduction to Abstract Algebra

Rose

Beachy & Blair, Abstract Algebra 3rd Ed.

Waveland

113

5

Introduction to Abstract Algebra

Hutchings

Fraleigh, A First Course in Algebra

Addison-Wesley

115

1

Number Theory

Mok

Niven, Montgomery & Zuckerman, Number Theory 5th Ed.

Wiley

121A

1

Mathematical Tools for the Physical Sciences

Voiculescu

Boas, Mathematical Methods in the Physical Sciences, 3rd Ed.

John Wiley & Sons

 

 

 

 

Butkov, Mathematical Physics

Addison-Wesley

121A

2

Mathematical Tools for the Physical Sciences

Mok

Churchill & Brown, Fourier Series and Boundary Value Problems 7th Ed.

 

123

1

Ordinary Differential Equations

Gu

Brauer and Nohel, The Qualitative Theory of Ordinary Differential Equations: In Introduction

Dover

125A

1

Mathematical Logic

Reimann

No Required Text


128A

1

Numerical Analysis

Strain

Note: These texts are on-line for UC students at no cost


 

 

 

 

Quarteroni, Sacco & Saleri, Numerical Mathematics 2000

Springer

 

 

 

 

Otto & Denier, Intro. to Programming and Numerical Methods in MATLAB 2005

Springer

 

 

 

 

Quarteroni & Saleri, Scientific Computing with MATLAB and Octave 2nd Ed.

Springer

130

1

The Classical Geometries

Wodzicki

Albrecht/Beutelspacher/Ute Reosebaum, Projective Geometry: From Foundations to Applications

Cambridge

135

1

Introduction to the Theory of Sets

Scanlon



142

1

Elementary Algebraic Topology

Aldi

C. Kosniowski, A First Course in Algebraic Topology 1980

Cambridge

143

1

Elementary Algebraic Geometry

Velasco

Shafarevich, Basic Algebraic Geometry I (Study Edition) Illustrated (paperback)

Springer

152

1

Mathematics of the Secondary School Curriculum

Wu

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

 

185

1

Complex Analysis

Lim

Bak & Newman, Complex Analysis

Springer

185

2

Complex Analysis

Yilmaz

Brown & Churchill, Complex Variables & It's Applications

McGraw-Hill

185

3

Complex Analysis

Christ

Marsden & Hoffman, Basic Complex Analysis3rd Ed.

Freeman

185

4

Complex Analysis

Borcherds

Brown & Churchill, Complex Variables & It's Applications

McGraw-Hill

191

1

Experimental Courses in Mathematics

Givental

No Text Required

 

191

2

Experimental Courses in Mathematics

Lim

RECOMMENDED: Hastie, Tibshirani & Friedman, The Elements of Statistical Learning: Data Mining, Inference & Prediction

Springer

202A

1

Introduction to Topology & Analysis

Rieffel

Anthony Knapp, Basic Real Analysis

Birkhauser

 

 

 

 

A. Knapp, Advanced Real Analysis

Birkhauser

204

1

Ordinary & Partial Differential Equations

Wilkening

Coddington & Levison, Theory of Ordinary Differential Equations

Krieger

206

1

Banach Algebras & Spectral Theory

Sarason

Rudin, Functional Analysis2nd Ed.

McGraw-Hill

 

 

 

 

Arveson, A Short Course on Spectral Theory

Springer

209

1

Von Neumann Algebras

Jones

Will use notes available on website.


214

1

Differentiable Manifolds

Pelayo

John M. Lee, Introduction to Smooth Manifolds, ISBN#0-387-95448-1

Springer

215A

1

Algebraic Topology

Zickert

Bredon, Topology & Geometry

Springer

 

 

 

 

Hatcher, Algebraic Topology

Cambridge

C218A

1

Probability Theory

Staff

 

 

221

1

Advanced Matrix Computations

Demmel

Demmel, Applied Numerical Linear Algebra

SIAM

222A

1

Partial Differential Equations

Zworski

Evans, Partial Differential Equations

AMS

 

 

 

 

Hormander, The Analysis of Linear Partial Differential Operators I

Springer

C223A

1

Stochastic Process

Staff

 

 

224A

1

Mathematical Methods for the Physical Sciences

Chorin

Showalter, Hilbert Space Methods for Partial Differential Equations -- Available at no charge from R. Showalter's website.


225A

1

Metamathematics

Silver



227A

1

Theory of Recursive Functions

Reimann

No required textbook


228A

1

Numerical Solution of Differential Equations

Persson

Hairer, Norsett & Wanner, Solving Ordinary Differential Equations, 2nd Edition (2 Vols.) (Optional)

Springer

 

 

 

 

Iserles, A First Course in Numerical Analysis of Differential Equations

 

250A

1

Groups, Rings & Fields

Olsson

Lang, Algebra (Revised Third Ed.)

Springer

254A

1

Number Theory

Paulin

No required textbook.


256A

1

Algebraic Geometry

Vojta

Hartshorne, Algebraic Geometry

Springer

261A

1

Lie Groups

Agol

Brian C. Hall, Lie Groups, Lie Algebras and Representations

Springer

274

1

Topics in Algebra

Serganova



277

1

Topics in Differential Geometry

Lott

Topping, Lectures on the Ricci Flow 2006 (Optional)

Cambridge

277

2

Topics in Differential Geometry

Bryant



277

3

Topics in Differential Geometry

Auroux

No Required Textbook