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Maeder R.E. — Computer science with mathematica
Maeder R.E. — Computer science with mathematica

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Название: Computer science with mathematica

Автор: Maeder R.E.

Аннотация:

Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the undergraduate mathematics curriculum. But the power of such systems goes beyond simple algebraic or numerical manipulation. In this practical resource Roman Maeder shows how computer-aided mathematics has reached a level where it can support effectively many of the computations in science and engineering. Besides treating traditional computer science topics, he demonstrates how scientists and engineers can use these computer-based tools to do scientific computations. A valuable text for computer science courses for scientists and engineers, this book will also prove useful to Mathematica users at all levels. Covering the latest release of Mathematica, the book includes useful tips and techniques to help even seasoned users.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 389

Добавлена в каталог: 10.12.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$Context      85
$ContextPath      85
$IterationLimit      371
$Line      373
$Post      373
$Pre      373
$PrePrint      175 178 188 373
$PreRead      373
$RecursionLimit      62 278 371
$\alpha$ conversion      257
$\beta$ reduction      256
$\eta$ conversion      258
$\lambda$ calculus      256—258 345 346
$\pi$      7
$\pi(x)$      138
$\varphi$      264
$\zeta$ function      358
abs      264
Absolute value      35
abstract class      330
Abstract data type      99
account      327
accounts      327
Accounts.m      327
Accuracy      75 150
Ackermann function      277
Addition      100 163 273 299
Addition of integers      66
Addresses      99 322
Aggregate      202
Aggregate.m      206
Aggregation      202—205
Aggregation, (Fig.)      171
AGM      53
Algebra      359
Algebra, computer      24
Algebra, relational      310
Algol      22
Algorithms      21
Algorithms for gcd      57
Algorithms for multiplication      165
Algorithms for searching      115
Algorithms for sorting      121
Algorithms, complexity of      143
Alphabet      249 282 308
ALU      15
AND      28 177
Animation, of minimal surface      362
Anomaly      9
APPEND      63 218
apply      42 47 263
Architecture, Computer      14
Arguments      32 238
Arithmetic      27—29 162 167
Arrays      194 337
Assembler      289
assignments      36 233 369
Assignments, redefining      163
Associativity      27 156 291 370
AT      337
AtIfAbsent      337
AtomQ      214\
atoms      44 45 214
Attributes      303 308
Autonomous (equation)      69
axes      356
Backup      17
Base      162
BASIC      22
BEGIN      85
BeginPackage      85
Bell polynomials      268
Bignum.m      164
bin      338
BINARY      162
BinaryPower      146
BinarySearch      115
BinarySearch.m      119
BinarySearchB.m      117
BinarySearchl .m      115
BinaryTree.m      130
Bisection      115
bits      145
body      32 38 256
BoltzmannConstant      11
Boole      177
BooleMat.m      178
Braces      34
Brackets      30 47 260
Brackets, double      45
Branches      275
break      36
Browser      50
Bugs      22
Busy beaver      289 346
Butterfly (Fig.)      353
C      19 99 200
C (capacitance)      190
C++      345
Calculator      27
Calculus      359
calculus, relational      319
Calculus, vector      181
Calling convention      293
Cambridge University Press      119 339
Capacitance      190
CAR      213
Carry      162
CartesianSurface      362
CASE      24
cases      227
catch      333
Catenoid (Fig.)      357 362
Cauchy, Augustin-Louis      70
CDR      213
Cellular automata (Fig.)      227
CForm      372
Chain rule      359
Chaotic map (Fig.)      3
Characteristic equation      149
Characteristic polynomial      151
Chebyshev polynomials (Fig.)      358
Chop      189
Church, Alonzo      280 346
circle      361
circuits      177
class      327 331
Classes      325
Classes for objects      330
classes, abstract      330
Classes, complexity      143
clear      31
Collatz problem      60—63 77 96 346
Collatz sequence (Fig.)      57
Collatz1.m      62
Collatz2.m      63
CollatzLength      61
CollatzSequence      62
Collect.m      332
Collection      332
collections      332—341\
Column vectors      175
Columns      289
Commands      47
Commands, Notation for      xvii
Commutativity      370
Comparisons      16
Compiler      19 23 44
Complement      310
COMPLEX      45
complex numbers      see “Numbers comple”
complexity      143 167 245 277
Complexity, logarithmic      246
ComplexParametricMap      88
ComplexParametricPlot      82
ComplexParametricPlot.m      93
ComplexParametricPlot2.m      83
ComplexParametricPlot3.m      86
ComplexParametricPlot4.m      89
ComplexParametricPlotl .m      82
components      178
COMPOSE      291
composition      274 290 295
Computability      273—279
Computer      14 280
Computer science      23—24
Computer science, theoretical      273
conditional statements      35
conditions      229 275
Conditions, initial      31
configurations      284
Connections      177
Cons      213
Consistency      316 319
Constant      260
Constants      40
Constraints      157
Constructors      106
CONTINUE      36 202
Control unit      15
Conversion      108
Conversionof types      104
CONVERT      11
Conway, John H.      xvii
Copy      292
correctness      65 107
COUNT      8
CSM      xvi
cuboid      99
CURVES      357
CYCLE      60
D      359
Data entry      314 319
Data structures      129 194 214 260 332
databases      20 303 321
databases, relational      308—313
DataEntry      316
Datatypes      99—101 130 213 283 325
decimal      162
default      90
definitions      xviii 30—33 47 369
Definitions of data types      99
Definitions, delayed      364
Definitions, dynamic      157
Definitions, inductive      44 274
Definitions, nested      156
DELETE      331
DeleteTree      135
Deletion in heap      198
Deletion in trees      134
Depth      133
Depth of recursion      126
Depth of tree      133
Derivative      183
Diagonal      203
DICTIONARY      338
Difference      275 310
Differential equations      360
Differentiation      41 52 69 249 359
DIGITS      38 150 353
Digits, binary      146
Digits, decimal      162
Diode      11
Directory      115
DisplayFunction      74
Divergence      181
DivGrad.m      184
Divide and conquer      246
divides      57
Divisibility      57
Division      46 299
Division for gcd      58
DO      37 275
Documentation      21 86
dodecahedron      254
Dodecahedron, (Fig.)      344
Dot      176
downHeap      198
DownValues      369
DSOLVE      360
eatl      292
Eccentricity      9
Efficiency      103
Efficiency of algorithms      143
Efficiency of rewrite rules      245
Efficiency, list operations      63
Electronics.m      190
Elementary charge, ElectronCharge      11
Elements      99
Elements of a list      29
Elements of an expression      44
Elements, evaluation of      370
EliminateColtunn      187
ellipse      9
Empty      261
EmptyTape      284
Encapsulation      86
END      85
EndPackage      85
Engineering, electrical      177 190
Engineering, mechanical      6
ENIAC      14
Entity      303
Equality      28
Equality of expressions      244
Equations      9 174 361
Equations for data types      107
Equations, characteristic      149
Equations, differential      69—75 360
Equations, linear      185
Equations, recursive      144
Equations, unsolvable      361
EQUIVALENCE      235
erf(x)      359
Euler, Leonhard      10
Evaluation      52 207 237 248 268 368 372
Evaluation of pure functions      256
EventQ      60 237
Examples, accounts      327
Examples, aggregation      202
Examples, constant pure functions      258
Examples, differential equation      69
Examples, Fibonacci numbers      147
Examples, heap      195
Examples, Integration and Differentiation      243
Examples, knapsack problem      157
Examples, numbers, modular      102
Examples, oscillator      69
Examples, parametric plots      81
Examples, repeated application of rules      241
Examples, shift registers      266
Examples, trigonometry      241
Examples, van der Pol’s equation      73
Examples, wiring      178
Exchange      121
Exercises, $\mu$ schema      300
Exercises, AGM      53
Exercises, Bell polynomials      268
Exercises, binary trees      138 341
Exercises, coding      208
1 2 3 4
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