Analysis I

preview-18
  • Analysis I Book Detail

  • Author : Terence Tao
  • Release Date : 2016-08-29
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 366
  • ISBN 13 : 9811017891
  • File Size : 58,58 MB

Analysis I by Terence Tao PDF Summary

Book Description: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Disclaimer: www.yourbookbest.com does not own Analysis I books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Analysis I

Analysis I

File Size : 65,65 MB
Total View : 6643 Views
DOWNLOAD

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculu

Solving Mathematical Problems

Solving Mathematical Problems

File Size : 17,17 MB
Total View : 1779 Views
DOWNLOAD

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical proble

An Introduction to Measure Theory

An Introduction to Measure Theory

File Size : 72,72 MB
Total View : 2699 Views
DOWNLOAD

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses

Topics in Random Matrix Theory

Topics in Random Matrix Theory

File Size : 92,92 MB
Total View : 9047 Views
DOWNLOAD

The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this ma

Additive Combinatorics

Additive Combinatorics

File Size : 84,84 MB
Total View : 519 Views
DOWNLOAD

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in re