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!

Quantum Microeconomics with Calculus

Textbook Title: Quantum Microeconomics with Calculus Textbook Description: Quantum Microeconomics with Calculus is a free online textbook that provides a…

Elementary Trigonometry

Textbook Title: Elementary Trigonometry Textbook Description: This is a text on elementary trigonometry, designed for students who have completed courses…

Introduction to Differential Topology

Textbook Title: Introduction to Differential Topology Textbook Description: This free online textbook is a preliminary version of introductory lecture notes…

Applied Mathematical Programming Using Algebraic Systems

Textbook Title: Applied Mathematical Programming Using Algebraic Systems Textbook Description: This free online textbook is suitable for a course on…