Differential and integral calculus
著者
書誌事項
Differential and integral calculus
American Mathematical Society, 2001
3rd ed.
- タイトル別名
-
Einführung in die Differentialrechnung und Intergralrechnung
大学図書館所蔵 件 / 全12件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
Originally published: New York : AMS Chelsea Publishing , 1980, c1965
内容説明・目次
内容説明
After completing his famous ""Foundations of Analysis"" (See 'AMS Chelsea Publishing, Volume 79.H' for the English Edition and 'AMS Chelsea Publishing, Volume 141' for the German Edition, ""Grundlagen der Analysis""), Landau turned his attention to this book on calculus. The approach is that of an unrepentant analyst, with an emphasis on functions rather than on geometric or physical applications. The book is another example of Landau's formidable skill as an expositor. It is a masterpiece of rigor and clarity.
目次
- Part One. Differential Calculus: Limits as $n=\infty$ Logarithms, powers, and roots Functions and continuity Limits as $x=\xi$ Definition of the derivative General theorems on the formation of the derivative Increase, decrease, maximum, minimum General properties of continuous functions on closed intervals Rolle's theorem and the theorem of the mean Derivatives of higher order
- Taylor's theorem "0/0" and similar matters Infinite series Uniform convergence Power series Exponential series and binomial series The trigonometric functions Functions of two variables and partial derivatives Inverse functions and implicit functions The inverse trigonometric functions Some necessary algebraic theorems Part Two. Integral Calculus: Definition of the integral Basic formulas of the integral calculus The integration of rational functions The integration of certain non-rational functions Concept of the definite integral Theorems on the definite integral The integration of infinite series The improper integral The integral with infinite limits The gamma function Fourier series Index of definitions Subject index.
「Nielsen BookData」 より