Tài liệu về " toán logic " 20 kết quả
differential forms in geometric calculus
. our discipline. I invite you, instead, to join me in proclaiming that Geometric Algebra is no less than a universal mathematical language for precisely expressing and reasoning with geometric concepts essential to establishing a truly Universal Geometric Calculus. As explained in [3], I believe that skepticism about Geometric Calculus in general and vector manifolds in particular can be attri...
Ngày tải lên: 27/03/2014, 11:49
fourier theory
. variables 5 4. Fourier Series 9 5. Bessel's inequality 14 6. Convergence results for Fourier series 16 7. Differentiation and Integration of Fourier Series 20 8. Half-range Fourier series. a n cos n π x l , 0 < x < l. This is also called a Fourier series expansion. 4. Fourier Series. 9 4. Fourier Series. A function f(x), f: R→R is called periodic if f(x + P). also con...
Ngày tải lên: 27/03/2014, 11:49
infinate series
. Telescoping Series The topic of telescoping series came up last week in Andrew Dudzik’s talk on Generating Functions. The method of changing series whose terms are rational functions into telescoping series. Maclaurin Series will converge rapidly for numbers near zero. The series can be shifted to any other number if the required input is not near zero. In this case, the series are known as Ta...
Ngày tải lên: 27/03/2014, 11:49
intro to tensor calculus
. for non-profit purposes only. INTRODUCTION TO TENSOR CALCULUS AND CONTINUUM MECHANICS PART 1: INTRODUCTION TO TENSOR CALCULUS §1.1 INDEX NOTATION 1 Exercise 1.1 28 §1.2 TENSOR CONCEPTS AND TRANSFORMATIONS. should be encouraged to read all the exercises. The purpose of preparing these notes is to condense into an introductory text the basic definitions and techniques arising in tensor calculus,...
Ngày tải lên: 27/03/2014, 11:49
mathematics - introduction to tensor calculus
. provided it is for non-profit purposes only. INTRODUCTION TO TENSOR CALCULUS AND CONTINUUM MECHANICS PART 1: INTRODUCTION TO TENSOR CALCULUS §1.1 INDEX NOTATION 1 Exercise 1.1 28 §1.2 TENSOR CONCEPTS. 353 APPENDIX B CHRISTOFFEL SYMBOLS OF SECOND KIND 355 APPENDIX C VECTOR IDENTITIES 362 INDEX 363 1 PART 1: INTRODUCTION TO TENSOR CALCULUS A scalar field describes a one -to- one correspondence....
Ngày tải lên: 27/03/2014, 11:50
monotona operators and nonlinear pde's
. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations R. E. Showalter Mathematical Surveys and Monographs Volume 49 American Mathematical
Ngày tải lên: 27/03/2014, 11:51
complex analysis
. COMPLEX ANALYSIS 1 Douglas N. Arnold 2 References: John B. Conway, Functions of One Complex Variable, Springer-Verlag, 1978. Lars V. Ahlfors, Complex Analysis, McGraw-Hill,. Ahlfors, Complex Analysis, McGraw-Hill, 1966. Raghavan Narasimhan, Complex Analysis in One Variable, Birkh¨auser, 1985. CONTENTS I. The Complex Number System . . . . . . . . . . . . . . . . . . . are continuous), then the...
Ngày tải lên: 27/03/2014, 11:51
g12can complex analysis
. G12CAN Complex Analysis Books: Schaum Outline book on Complex Variables (by M. Spiegel), or Churchill and Brown, Complex Analysis and Applications. There should. points (0, y), and the y axis becomes the IMAGINARY axis. The complex conjugate The complex conjugate of the complex number z is the complex number z = Re( z ) − i Im( z ). Some write z * instead OBJECTIVES: Aims: to teach the introd...
Ngày tải lên: 27/03/2014, 11:51
real hypersurfaces and complex analysis
. true when M and f are real analytic (but not in gen- eral) and can be proved by complexifying M and f . Theorem. Let M be a real analytic hypersurface in C n and let f be a real analytic. this question: Given two real hypersur- faces M 1 and M 2 in C 2 and points p ∈ M 1 and q ∈ M 2 , when do there exist open sets U and V in C 2 , with p ∈ U and q ∈ V and a biholomor- phism Φ...
Ngày tải lên: 27/03/2014, 11:52
algebraic geometry
. multiplication. Thus the mono- mials from a basis for k[X 1 , ,X n ]asak-vector space. 4 The term “module-finite” is used in this context only by the English-insensitive. 6 Algebraic Geometry: 0. Algorithms. the set of algebraic subsets of k n ; its inverse is I. Proof. We know that IV(a)=a if a is a radical ideal, and that VI(W )=W if W is an algebraic set. 20 Algebraic Geometry: 1. Algebraic Se...
Ngày tải lên: 27/03/2014, 11:52
circle geometry
. Maths Extension 1 – Circle Geometry http://www.geocities.com/fatmuscle/HSC/ 1 Circle Geometry Properties of a Circle Circle Theorems: ! Angles and chords ! Angles !. Internally Concentric circles Maths Extension 1 – Circle Geometry http://www.geocities.com/fatmuscle/HSC/ 3 Circle Theorems ! Equal arcs subtend equal angels at the centre of the circle. ! If two. 1 – Circle Geometry http://...
Ngày tải lên: 27/03/2014, 11:52
