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Survey of Applicable Mathematics

  • Book
  • © 1994

Overview

Authors:
  1. Karel Rektorys

    1. Technical University, Prague, Slovak Republic

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Part of the book series: Mathematics and Its Applications (MAIA, volume 280/281)

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-lvii
    Download chapter PDF

  2. Arithmetic and Algebra

    • Václav Vilhelm
    Pages 1-68

  3. Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions

    • Václav Vilhelm
    Pages 69-94

  4. Some Formulae (Areas Circumferences, Volumes, Surfaces, Centroids, Moments of Inertia)

    • Václav Vilhelm
    Pages 95-111

  5. Plane Curves and Constructions

    • Karel Drábek
    Pages 112-166

  6. Plane Analytic Geometry

    • Miloslav Zelenka
    Pages 167-194

  7. Solid Analytic Geometry

    • FrantiÅ¡ek Kejla
    Pages 195-224

  8. Vector Calculus

    • FrantiÅ¡ek Kejla, Karel Rektorys
    Pages 225-241

  9. Tensor Calculus

    • Václav Vilhelm
    Pages 242-259

  10. Differential Geometry

    • BoÅ™ivoj Kepr
    Pages 260-335

  11. Sequences and Series of Constant Terms. Infinite Products

    • Karel Rektorys
    Pages 336-358

  12. Differential Calculus of Functions of a Real Variable

    • Karel Rektorys
    Pages 359-401

  13. Functions of Two or More Variables

    • Karel Rektorys
    Pages 402-447

  14. Integral Calculus of Functions of One Variable

    • Karel Rektorys
    Pages 448-571

  15. Integral Calculus of Functions of Two and More Variables

    • Karel Rektorys
    Pages 572-636

  16. Sequences and Series with Variable Terms (Sequences and Series of Functions)

    • Karel Rektorys
    Pages 637-661

  17. The Space L 2. Orthogonal Systems, Fourier Series. Special Functions (Bessel Functions, Etc.)

    • Karel Rektorys
    Pages 662-716

  18. Ordinary Differential Equations

    • Karel Rektorys
    Pages 717-862

  19. Partial Differential Equations

    • Karel Rektorys
    Pages 863-935

  20. Integral Equations

    • Karel Rektorys
    Pages 936-958
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Keywords

About this book

This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969.
The thirty-seven chapters cover all the important mathematical fields of use in applications: algebra, geometry, differential and integral calculus, infinite series, orthogonal systems of functions, Fourier series, special functions, ordinary differential equations, partial differential equations, integral equations, functions of one and several complex variables, conformal mapping, integral transforms, functional analysis, numerical methods in algebra and in algebra and in differential boundary value problems, probability, statistics, stochastic processes, calculus of variations, and linear programming. All proofs have been omitted. However, theorems are carefully formulated, and where considered useful, are commented with explanatory remarks. Many practical examples are given by way of illustration. Each of the two volumes contains an extensive bibliography and a comprehensive index.
Together these two volumes represent a survey library of mathematics which is applicable in many fields of science, engineering, economics, etc.
For researchers, students and teachers of mathematics and its applications.

Reviews

`The book is written for the use of a very wide circle of readers. It seems to me that it is an ideal survey of mathematics needed in colleges for technical professions, in Germany called `Fachhochschule'. I recommend it warmly for this purpose.
H. Koch in Zentralblatt f. Mathematik 805:1, 1995

Authors and Affiliations

  • Technical University, Prague, Slovak Republic

    Karel Rektorys

Bibliographic Information

  • Book Title: Survey of Applicable Mathematics

  • Authors: Karel Rektorys

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-015-8308-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Softcover ISBN: 978-94-015-8310-7Published: 23 August 2014

  • eBook ISBN: 978-94-015-8308-4Published: 19 December 2013

  • Edition Number: 2

  • Number of Pages: LXXXVI, 1723

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Applications of Mathematics

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