Differential and Integral Calculus
3rd Edition
Will be published approx. on 31. January 1956
Book
Paperback/Softback
380 pages
978-1-4704-7819-3 (ISBN)
Description
After completing his famous Foundations of 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.
Reviews / Votes
"And what a book it is! The marks of Landau's thoroughness and elegance, and of his undoubted authority, impress themselves on the reader at every turn, from the opening of the preface ... to the closing of the final chapter. It is a book that all analysts ... should possess ... to see how a master of his craft like Landau presented the calculus when he was at the height of his power and reputation." - Mathematical GazetteMore details
Series
Edition
Third Edition
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Edition type
New edition
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-1-4704-7819-3 (9781470478193)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Front Cover
Translators
Preface
Preface To The First (German) Edition
Table Of Contents
Introduction
I. Residue Classes
2. The Decimal System
3. Finite And Infinite Sets Of Numbers
Part One Differential Calculus
Chapter 1 Limits For N = ?
Chapter 2 Logarithms, Powers, And Roots
Chapter 3 Functions And Continuity
Chapter 4 Limits At X = ?
Chapter 5 Definition Of The Derivative
Chapter 6 General Theorems On The Calculation Of Derivatives
Chapter 7 Increase, Decrease, Maximum, Minimum
Chapter 8 General Properties Of A Function Continuous In A Closed Interval
Chapter 9 Rolle'S Theorem And The Theorem Of The Mean
Chapter 10 Derivatives Of Higher Order
Taylor's Theorem
Chapter 11 "0/0" And Similar Matters
Chapter 12 Infinite Series
Chapter 13 Uniform Convergence
Chapter 14 Power Series
Chapter 15 The Exponential And Binomial Series
Chapter 16 The Trigonometric Functions
Chapter 17 Functions Of Two Variables
Partial Differentiation
Chapter 18 Inverse Functions And Implicit Functions
Chapter 19 The Inverse Trigonometric Functions
Chapter 20 Some Necessary Algebraic Theorems
1. The Fundamental Theorem Of Algebra
2. Decomposition Of Rational Functions Into Partial Fractions
Part Two Integral Calculus
Chapter 21 Definition Of The Integral
Chapter 22 Basic Formulas Of The Integral Calculus
Chapter 23 Integration Of Rational Functions
Chapter 24 Integration Of Some Non-Rational Functions
Chapter 25 The Concept Of Definite Integral
Chapter 26 Theorems On The Definite Integral
Chapter 27 Integration Of Infinite Series
Chapter 28 The Improper Integral
Chapter 29 The Integral With Infinite Limits
Chapter 30 The Gamma Function
Chapter 31 Fourier Series
Index Of Definitions
Subject Index
Back Cover
Translators
Preface
Preface To The First (German) Edition
Table Of Contents
Introduction
I. Residue Classes
2. The Decimal System
3. Finite And Infinite Sets Of Numbers
Part One Differential Calculus
Chapter 1 Limits For N = ?
Chapter 2 Logarithms, Powers, And Roots
Chapter 3 Functions And Continuity
Chapter 4 Limits At X = ?
Chapter 5 Definition Of The Derivative
Chapter 6 General Theorems On The Calculation Of Derivatives
Chapter 7 Increase, Decrease, Maximum, Minimum
Chapter 8 General Properties Of A Function Continuous In A Closed Interval
Chapter 9 Rolle'S Theorem And The Theorem Of The Mean
Chapter 10 Derivatives Of Higher Order
Taylor's Theorem
Chapter 11 "0/0" And Similar Matters
Chapter 12 Infinite Series
Chapter 13 Uniform Convergence
Chapter 14 Power Series
Chapter 15 The Exponential And Binomial Series
Chapter 16 The Trigonometric Functions
Chapter 17 Functions Of Two Variables
Partial Differentiation
Chapter 18 Inverse Functions And Implicit Functions
Chapter 19 The Inverse Trigonometric Functions
Chapter 20 Some Necessary Algebraic Theorems
1. The Fundamental Theorem Of Algebra
2. Decomposition Of Rational Functions Into Partial Fractions
Part Two Integral Calculus
Chapter 21 Definition Of The Integral
Chapter 22 Basic Formulas Of The Integral Calculus
Chapter 23 Integration Of Rational Functions
Chapter 24 Integration Of Some Non-Rational Functions
Chapter 25 The Concept Of Definite Integral
Chapter 26 Theorems On The Definite Integral
Chapter 27 Integration Of Infinite Series
Chapter 28 The Improper Integral
Chapter 29 The Integral With Infinite Limits
Chapter 30 The Gamma Function
Chapter 31 Fourier Series
Index Of Definitions
Subject Index
Back Cover