Advanced Calculus, Revised Edition

Textbook Title: Advanced Calculus, Revised Edition

Textbook Description:
This textbook is based on an honors course in Advanced Calculus given at Department of Mathematics, Hardvard University. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. The textbook’s first half develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and the second half which deals with the calculus of differentiable manifolds. There are exercises of many different kinds spread throughout the book.

Author: Lynn H. Loomis and Shlomo Sternberg
Subjects: Mathematics
Key words: Math, Mathematics, Algebra, Calculus
Download URL: http://www.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf

Only Registered Users Can Save eTextbooks to Their TextBookGo Account. Sign Up For Free!

Linear Algebra

Textbook Title: Linear Algebra Textbook Description: This free etextbook online covers the material of a first undergraduate Linear Algebra course….

A First Course in Linear Algebra

Textbook Title: A First Course in Linear Algebra Textbook Description: A First Course in Linear Algebra is an introductory textbook…

Theoretic Arithmetic

Textbook Title: Theoretic Arithmetic Textbook Description: This free online textbook, Theoretic Arithmetic, containins the substance of all that has been…

Econometrics by Michael Creel

Textbook Title: Econometrics by Michael Creel Textbook Description: Econometrics by Michael Creel is a free online textbook that covers an…