Oxford user's guide to mathematics / edited by Eberhard Zeidler [with W. Hackbusch and H.R. Schwarz] ; translated and typeset by Bruce Hunt.

Format:

Book

Contributor:

Zeidler, Eberhard.

Hackbusch, W., 1948-

Schwarz, Hans Rudolf, 1930-

Hunt, Bruce, 1958-

Sabin W. Colton, Jr., Memorial Fund.

Standardized Title:

Teubner-Taschenbuch der Mathematik. v. 1. English.

Language:

English

German

Subjects (All):

Mathematics--Handbooks, manuals, etc.

Mathematics.

Genre:

Handbooks and manuals.

Physical Description:

xxii, 1284 pages : illustrations ; 23 cm

Other Title:

User's guide to mathematics

Place of Publication:

Oxford ; New York : Oxford University Press, [2004]

Summary:

- Easy-to-use, comprehensive desk reference- Conveys a lively, modern picture of mathematics- Wide scope from elementary facts to modern, highly sophisticated results and methods

Contents:

0 Formulas, Graphs and Tables 3

0.1 Basic formulas of elementary mathematics 3

0.2 Elementary functions and graphs 45

0.3 Mathematics and computers - a revolution in mathematics 74

0.4 Tables of mathematical statistics 75

0.5 Tables of values of special functions 98

0.6 Table of prime numbers [less than or equal] 4000 110

0.7 Formulas for series and products 111

0.8 Tables for differentiation of functions 133

0.9 Tables of integrals 138

0.10 Tables on integral transformations 192

1 Analysis 221

1.1 Elementary analysis 222

1.2 Limits of sequences 238

1.3 Limits of functions 249

1.4 Differentiation of functions of a real variable 262

1.5 Derivatives of functions of several real variables 278

1.6 Integration of functions of a real variable 306

1.7 Integration of functions of several real variables 321

1.8 Vector algebra 351

1.9 Vector analysis and physical fields 357

1.10 Infinite series 376

1.11 Integral transformations 391

1.12 Ordinary differential equations 407

1.13 Partial differential equations 468

1.14 Complex function theory 532

2 Algebra 599

2.1 Elementary algebra 599

2.2 Matrices 626

2.3 Linear algebra 637

2.4 Multilinear algebra 650

2.5 Algebraic structures 663

2.6 Galois theory and algebraic equations 675

2.7 Number theory 685

3 Geometry 725

3.1 The basic idea of geometry epitomized by Klein's Erlanger Program 725

3.2 Elementary geometry 726

3.3 Applications of vector algebra in analytic geometry 749

3.4 Euclidean geometry (geometry of motion) 753

3.5 Projective geometry 760

3.6 Differential geometry 769

3.7 Examples of plane curves 788

3.8 Algebraic geometry 799

3.9 Geometries of modern physics 837

4 Foundations of Mathematics 873

4.1 The language of mathematics 873

4.2 Methods of proof 878

4.3 Naive set theory 884

4.4 Mathematical logic 895

4.5 The history of the axiomatic method 905

5 Calculus of Variations and Optimization 909

5.1 Calculus of variations - one variable 910

5.2 Calculus of variations - several variables 935

5.3 Control problems 940

5.4 Classical non-linear optimization 946

5.5 Linear optimization 952

5.6 Applications of linear optimization 963

6 Stochastic Calculus - Mathematics of Chance 975

6.1 Elementary stochastics 976

6.2 Kolmogorov's axiomatic foundation of probability theory 989

6.3 Mathematical statistics 1015

6.4 Stochastic processes 1031

7 Numerical Mathematics and Scientific Computing 1049

7.1 Numerical computation and error analysis 1050

7.2 Linear algebra 1055

7.3 Interpolation 1075

7.4 Non-linear problems 1093

7.5 Approximation 1102

7.6 Ordinary differential equations 1109

7.7 Partial differential equations 1121

Sketch of the history of mathematics 1179

Dimensions of physical quantities 1279.

Notes:

Includes bibliographical references (pages 1203-1230) and indexes.

Local Notes:

Acquired for the Penn Libraries with assistance from the Sabin W. Colton, Jr., Memorial Fund.

ISBN:

0198507631

OCLC:

53393406