Experimental mathematics with Maple:
"Following an emerging trend in research, Experimental Mathematics with MAPLE places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and gradually develops basic computational skills...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2001
|
| Schriftenreihe: | Chapman & Hall CRC mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Following an emerging trend in research, Experimental Mathematics with MAPLE places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and gradually develops basic computational skills using the powerful MAPLE software. The approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs." "Using this approach, Experimental Mathematics with MAPLE enable students to gain valuable experience with modern algebraic computing, and at the same time, develop a familiarity with the basic concepts, notation, and jargon of abstract mathematics. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study."--BOOK JACKET. |
| Beschreibung: | XI, 223 S. Ill., graph. Darst. |
| ISBN: | 1584882336 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804128765814505472 |
|---|---|
| adam_text | EXPERIMENTAL MATHEMATICS WITH MAPLE FRANCO VIVALDI CHAPMAN & HALL/CRC
BOCA RATON LONDON NEW YORK WASHINGTON,* D.C. CONTENTS 1 WHAT IS MAPLE? 1
2 INTEGERS AND RATIONALS 5 2.1 INTEGERS 5 2.2 ARITHMETICAL EXPRESSIONS 8
2.3 SOME MAPLE 12 2.4 DIVISIBILITY 20 2.5 RATIONALS 25 2.6 PRIMES 32 2.7
STANDARD LIBRARY FUNCTIONS 37 3 SETS AND FUNCTIONS 39 3.1 SETS 39 3.2
SETS WITH MAPLE 45 3.3 FUNCTIONS 48 3.4 USER-DEFINED FUNCTIONS 50 4
SEQUENCES 59 4.1 BASICS 59 4.2 SEQUENCES WITH MAPLE 61 4.3 PLOTTING
THE ELEMENTS OF A SEQUENCE 64 4.4 PERIODIC AND EVENTUALLY PERIODIC
SEQUENCES 67 4.5 SOME NON-PERIODIC SEQUENCES 70 4.6 BASIC COUNTING
SEQUENCES 77 4.7 SEQUENCES DEFINED RECURSIVELY 82 5 REAL AND COMPLEX
NUMBERS 89 5.1 DIGITS OF RATIONALS 89 5.2 REAL NUMBERS 96 5.3 RANDOM AND
PSEUDO-RANDOM DIGITS* 99 5.4 COMPLEX NUMBERS 102 5.5 STANDARD LIBRARY
FUNCTIONS 108 VN VLLL 6 STRUCTURE OF EXPRESSIONS 113 6.1 ANALYSIS OF AN
EXPRESSION 113 6.2 MORE ON SUBSTITUTIONS 117 6.3 FUNCTIONS ACTING ON
OPERANDS OF EXPRESSIONS 119 7 POLYNOMIALS AND RATIONAL FUNCTIONS 127 7.1
POLYNOMIALS 127 7.2 POLYNOMIAL ARITHMETIC 128 7.3 RATIONAL FUNCTIONS 138
7.4 BASIC MANIPULATIONS 139 7.5 PARTIAL FRACTIONS DECOMPOSITION* 142 8
FINITE SUMS AND PRODUCTS 147 8.1 BASICS 147 8.2 SUMS AND PRODUCTS WITH
MAPLE 149 8.3 SYMBOLIC EVALUATION OF SUMS AND PRODUCTS 152 8.4 DOUBLE
SUMS AND PRODUCTS 154 8.5 SUMS AND PRODUCTS AS RECURSIVE SEQUENCES 160 9
ELEMENTS OF PROGRAMMING 163 9.1 ITERATION 163 9.2 STUDY OF AN EVENTUALLY
PERIODIC SEQUENCE 173 9.3 CONDITIONAL EXECUTION* 177 9.4 PROCEDURES* 179
10 VECTOR SPACES 185 10.1 CARTESIAN PRODUCT OF SETS 185 10.2 VECTOR
SPACES 186 10.3 VECTORS WITH MAPLE 188 10.4 MATRICES 191 10.5 MATRICES
WITH MAPLE 192 11 MODULAR ARITHMETIC* 201 11.1 A MODULAR SYSTEM *. . 201
11.2 ARITHMETIC OF EQUIVALENCE CLASSES 204 11.3 SOME ARITHMETICAL
CONSTRUCTIONS IN P 206 12 SOME ABSTRACT STRUCTURES* 213 12.1 THE
AXIOMS OF ARITHMETIC 213 12.2 METRIC SPACES 214 12.3 RINGS AND FIELDS
214 12.4 VECTOR SPACES 215
|
| any_adam_object | 1 |
| author | Vivaldi, Franco |
| author_facet | Vivaldi, Franco |
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| author_sort | Vivaldi, Franco |
| author_variant | f v fv |
| building | Verbundindex |
| bvnumber | BV013921805 |
| callnumber-first | Q - Science |
| callnumber-label | QA76 |
| callnumber-raw | QA76.95 |
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| callnumber-sort | QA 276.95 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 110 ST 601 |
| ctrlnum | (OCoLC)45420203 (DE-599)BVBBV013921805 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV013921805 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:54:27Z |
| institution | BVB |
| isbn | 1584882336 |
| language | English |
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| physical | XI, 223 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series2 | Chapman & Hall CRC mathematics |
| spelling | Vivaldi, Franco Verfasser aut Experimental mathematics with Maple Franco Vivaldi Boca Raton [u.a.] Chapman & Hall/CRC 2001 XI, 223 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC mathematics "Following an emerging trend in research, Experimental Mathematics with MAPLE places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and gradually develops basic computational skills using the powerful MAPLE software. The approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs." "Using this approach, Experimental Mathematics with MAPLE enable students to gain valuable experience with modern algebraic computing, and at the same time, develop a familiarity with the basic concepts, notation, and jargon of abstract mathematics. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study."--BOOK JACKET. Maple (Computer file) Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple Programm (DE-588)4209397-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Maple Programm (DE-588)4209397-1 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009526025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vivaldi, Franco Experimental mathematics with Maple Maple (Computer file) Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple Programm (DE-588)4209397-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4209397-1 (DE-588)4037944-9 |
| title | Experimental mathematics with Maple |
| title_auth | Experimental mathematics with Maple |
| title_exact_search | Experimental mathematics with Maple |
| title_full | Experimental mathematics with Maple Franco Vivaldi |
| title_fullStr | Experimental mathematics with Maple Franco Vivaldi |
| title_full_unstemmed | Experimental mathematics with Maple Franco Vivaldi |
| title_short | Experimental mathematics with Maple |
| title_sort | experimental mathematics with maple |
| topic | Maple (Computer file) Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple Programm (DE-588)4209397-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Maple (Computer file) Mathématiques - Informatique Datenverarbeitung Mathematik Mathematics Data processing Maple Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009526025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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