Differential and integral calculus:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English German |
| Published: |
New York
Chelsea
1965
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 372 S. |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804118371031056384 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface 1
Introduction 7
§ 1. Residue Classes 13
§ 2. The Decimal System 15
§ 3. Finite and Infinite Sets of Numbers 18
PART ONE
DIFFERENTIAL CALCULUS
Chapter 1
Limits as »= oo 23
Chapter 2
Logarithms, Powers, and Roots 39
Chapter 3
Functions and Continuity 49
Chapter 4
Limits as x = £ 61
Chapter 5
Definition of the Derivative 69
Chapter 6
General Theorems on the Formation of the Derivative 79
Chapter 7
Increase, Decrease, Maximum, Minimum 87
Chapter 8
General Properties of Continuous Functions on Closed Intervals 92
Chapter 9
Rolle s Theorem and the Theorem of the Mean 108
Chapter 10
Derivatives of Higher Order; Taylor s Theorem 115
Chapter 11
0/0 and Similar Matters 128
Chapter 12
Infinite Series 146
Chapter 13
Uniform Convergence 168
Chapter 14
Power Series 179
Chapter 15
Exponential Series and Binomial Series 189
Chapter 16
The Trigonometric Functions 191
Chapter 17
Functions of Two Variables and Partial Derivatives 208
Chapter 18
Inverse Functions and Implicit Functions 223
Chapter 19
The Inverse Trigonometric Functions 229
Chapter 20
Some Necessary Algebraic Theorems 233
§ 1. The Fundamental Theorem of Algebra 233
§ 2. Decomposition of Rational Functions into Partial Fractions 243
PART TWO
INTEGRAL CALCULUS
Chapter 21
Definition of the Integral 253
Chapter 22
Basic Formulas of the Integral Calculus 259
Chapter 23
The Integration of Rational Functions 264
Chapter 24
The Integration of Certain Non rational Functions 270
Chapter 25
Concept of the Definite Integral 280
Chapter 26
Theorems on the Definite Integral 289
Chapter 27
The Integration of Infinite Series 314
Chapter 28
The Improper Integral 319
Chapter 29
The Integral with Infinite Limits 334
Chapter 30
The Gamma Function 348
Chapter 31
Fourier Series 357
Index of Definitions 367
Subject Index 369
|
| any_adam_object | 1 |
| author | Landau, Edmund 1877-1938 |
| author_GND | (DE-588)118726161 |
| author_facet | Landau, Edmund 1877-1938 |
| author_role | aut |
| author_sort | Landau, Edmund 1877-1938 |
| author_variant | e l el |
| building | Verbundindex |
| bvnumber | BV004159193 |
| callnumber-first | Q - Science |
| callnumber-label | QA303 |
| callnumber-raw | QA303 |
| callnumber-search | QA303 |
| callnumber-sort | QA 3303 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)171742 (DE-599)BVBBV004159193 |
| dewey-full | 517.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517.1 |
| dewey-search | 517.1 |
| dewey-sort | 3517.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV004159193 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:09:14Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002593864 |
| oclc_num | 171742 |
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| owner_facet | DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR DE-29T |
| physical | 372 S. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Chelsea |
| record_format | marc |
| spelling | Landau, Edmund 1877-1938 Verfasser (DE-588)118726161 aut Einführung in die Differentialrechnung und Integralrechnung Differential and integral calculus 3. ed. New York Chelsea 1965 372 S. txt rdacontent n rdamedia nc rdacarrier Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf Integralrechnung (DE-588)4027232-1 s DE-604 Differentialrechnung (DE-588)4012252-9 s Infinitesimalrechnung (DE-588)4072798-1 s Reelle Funktion (DE-588)4048918-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Landau, Edmund 1877-1938 Differential and integral calculus Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Reelle Funktion (DE-588)4048918-8 gnd Differentialrechnung (DE-588)4012252-9 gnd Integralrechnung (DE-588)4027232-1 gnd |
| subject_GND | (DE-588)4072798-1 (DE-588)4048918-8 (DE-588)4012252-9 (DE-588)4027232-1 |
| title | Differential and integral calculus |
| title_alt | Einführung in die Differentialrechnung und Integralrechnung |
| title_auth | Differential and integral calculus |
| title_exact_search | Differential and integral calculus |
| title_full | Differential and integral calculus |
| title_fullStr | Differential and integral calculus |
| title_full_unstemmed | Differential and integral calculus |
| title_short | Differential and integral calculus |
| title_sort | differential and integral calculus |
| topic | Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Reelle Funktion (DE-588)4048918-8 gnd Differentialrechnung (DE-588)4012252-9 gnd Integralrechnung (DE-588)4027232-1 gnd |
| topic_facet | Calculus Infinitesimalrechnung Reelle Funktion Differentialrechnung Integralrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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