Multiple Integrals, Field Theory and Series 0714706833, 9780714706832

448 133 38MB

English Pages 640 [642] Year 1973

Report DMCA / Copyright

DOWNLOAD FILE

Polecaj historie

Multiple Integrals, Field Theory and Series [Second printing ed.]

The present book is based on lectures given by the authors at the Physical Department of the Lomonosov State University

367 98 33MB Read more

Multiple Integrals [illustrated] 9401160910, 9789401160919

The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a

629 96 5MB Read more

Quantum Field Theory and Functional Integrals - An Introduction to Feynman Path Integrals and the Foundations of Axiomatic Field Theory [1 ed.] 9789819935291, 9789819935307

Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional

369 110 1MB Read more

Approximate calculation of multiple integrals 9780130438935, 0130438936

912 80 41MB Read more

Quantum Field Theory : Feynman Path Integrals and Diagrammatic Techniques in Condensed Matter 9780367185749, 0367185741

This book explores quantum field theory using the Feynman functional and diagrammatic techniques as foundations to apply

1,206 206 25MB Read more

(Almost) impossible integrals, sums, and series 9783030024611, 9783030024628

723 107 2MB Read more

An Introduction to The Harmonic Series And Logarithmic Integrals 9781736736012

294 65 1MB Read more

$Theory and numerical approximations of fractional integrals and derivatives$

Theory and numerical approximations of fractional integrals and derivatives

1,265 95 2MB Read more

Multilinear operator integrals: theory and applications 9783030324056, 9783030324063

587 139 1MB Read more

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 9781400881628

The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

154 78 14MB Read more

Multiple Integrals, Field Theory and Series
0714706833, 9780714706832

Author / Uploaded
B.M. Budak
S.V. Fomin

Categories
Mathematics
Analysis

Table of contents :
Front Cover
Title Page
Preface
Contents
1. Double Integrals
2. Triple Integrals and Multiple Integrals of Higher Order
3. Elements of Differential Geometry
4. Line Integrals
5. Surface Integrals
6. Field Theory
7. Tensors
8. Functional Sequences and Series
9. Improper Integrals
10. Integrals Dependent on Parameter
11. Fourier Series and Fourier Integral
APPENDIX
SUPPLEMENT 1 A symptotic Expansions
SUPPLEMENT 2 On Universal Digital Computers
BIBLIOGRAPHY
NAME INDEX
SUBJECT INDEX

Citation preview

Multiple Integrals, Field Theory and Series B.M. Budak, S.V. Fomin

MIR PUBLISHERS MOSCOW

B. M. EyAaK, C. B. 87 590 590 502 598 C03 (503 ). The union of the squares is a poly gonal figure enveloping the curve L and the area of the polygonal figure does not exceed the sum of the areas of the constituent squares, i.e. is not greater than -r !)• Since I is fixed and n can be * A rectifiable curve is the one that possesses a finite length. As is well known (e g see |81, Chapter 11, § t), if a curve can be represented by parametric equations of the form x = cp (0, y — (0i ct ^ t ^ fi where * 0 and construct a closed circle of radius j: r, 3, . . . which falls outside the circle and construct- a new closed circle of radius r2