Math

Here you can find lists of great Math books are or have been used to teach courses at Caltech.





Discrete Mathematics, 2nd Edition

By: Norman L. Biggs

2002

Calculus- Vol.1

By: WILEY INDIA

1991

Vector Calculus

By: Jerrold E. Marsden, Anthony Tromba

2011

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

By: Michael Spivak

Probability

By: Jim Pitman

1993

Basic Probability Theory

By: Robert B. Ash

2008

Knowing the Odds: An Introduction to Probability

By: John B. Walsh

2012

Elementary Probability Theory: With Stochastic Processes and an Introduction to Math...

By: Kai Lai Chung, Farid AitSahlia

2003

The Pleasures of Probability

By: Richard Isaac

1995

Abstract Algebra, 3rd Edition

By: David S. Dummit, Richard M. Foote

2003

The Probabilistic Method

By: Noga Alon, Joel H. Spencer

2008

Proofs from THE BOOK

By: Martin Aigner, Günter M. Ziegler, Karl H. Hofmann

2009

Div, Grad, Curl, and All That: An Informal Text on Vector Calculus

By: H. M. Schey

2004

Putnam and Beyond

By: Răzvan Gelca, Titu Andreescu

2017

Principles of Mathematical Analysis

By: Walter Rudin

1976

Analysis II

By: Terence Tao

2009

Analysis I: Third Edition

By: Terence Tao

2016

Elementary Classical Analysis, 2nd Edition

By: Jerrold E. Marsden, Michael J. Hoffman

1993

Measure and Integral: An Introduction to Real Analysis

By: Richard Wheeden, Richard L. Wheeden, Antoni Zygmund

1977

Real Analysis: Measure Theory, Integration, and Hilbert Spaces

By: Elias M. Stein, Rami Shakarchi

2005

Elementary Theory of Analytic Functions of One or Several Complex Variables

By: Henri Cartan

1995

Complex Analysis

By: Lars Ahlfors

1979

Complex Analysis

By: Elias M. Stein, Rami Shakarchi

2003

Topology

By: James Munkres

2000

Algebraic Topology

By: Allen Hatcher

2001

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition

By: Manfredo P. do Carmo

2016

FORCING FOR MATHEMATICIANS

By: NIK WEAVER

2014

Algebra

By: Serge Lang

2002

A Course in Combinatorics

By: J. H. van Lint, R. M. Wilson

2001

Brownian Motion and Martingales in Analysis

By: Richard Durrett

1984