Mathematical equation

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods. Indeed, the area is an expanding source for novel and relevant "realworld" mathematics. In this book, the authors describe the modeling of financial derivative products from an applied mathematician's viewpoint, from modeling to analysis to elementary computation.
338p batrinh 16072009 270 178 Download

Steven Holzner is an awardwinning author of science, math, and technical books. He got his training in differential equations at MIT and at Cornell University, where he got his PhD. He has been on the faculty at both MIT and Cornell University, and has written such bestsellers as Physics For Dummies and Physics Workbook For Dummies.
363p phanchithinh 27102009 129 70 Download

A First Course in Discrete Mathematics I. Anderson Analytic Methods for Partial Differential Equations G. Evans, J. Blackledge, P. Yardley Applied Geometry for Computer Graphics and CAD D. Marsh Basic Linear Algebra, Second Edition T.S. Blyth and E.F. Robertson Basic Stochastic Processes Z. Brze´ niak and T. Zastawniak z Elementary Differential Geometry A. Pressley Elementary Number Theory G.A. Jones and J.M. Jones Elements of Abstract Analysis M. Ó Searcóid Elements of Logic via Numbers and Sets D.L. Johnson...
321p bongbong_hong 13122012 116 66 Download

This book is intended primarily for students on economics, business studies and management courses. It assumes very little prerequisite knowledge, so it can be read by students who have not undertaken a mathematics course for some time. The style is informal and the book contains a large number of worked examples. Students are encouraged to tackle problems for themselves as they read through each section. Detailed solutions are provided so that all answers can be checked.
694p kimngan_1 04112012 109 34 Download

Hanoi Open Mathematical Olympiad 2006 Junior Section, Sunday, 9 April 2006 Q1. What is the last two digits of the number (11 + 12 + 13 + · · · + 2006)2 ? Q2. Find the last two digits of the sum 200511 + 200512 + · · · + 20052006 . Q3. Find the number of diﬀerent positive integer triples (x, y, z) satisfying the equations x2 + y − z = 100 and x + y 2 − z = 124. Q4. Suppose x and y are two real numbers such that x + y − xy = 155 Find...
16p sarahhottest 08042013 185 31 Download

Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations. I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes.
310p phuctran399 05112010 70 18 Download

This book is intended to provide the essential mathematics required by construction craft students. It covers the learning outcomes of the math ematics part of the unit construction science and mathematics for the BTEC First Diploma course in construction. The book is also intended to help construction students studying the subject of analytical methods in the BTEC National Diploma/Certiﬁcate in construction and BTEC National Certiﬁcate in Civil Engineering, although these syllabuses are not covered in their entirety....
297p tiramisu0908 31102012 43 16 Download

The Project Gutenberg EBook of The Romance of Mathematics, by P. Hampson This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or reuse it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.net Title: The Romance of Mathematics Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social Properties of a Conic; Equations to Brain Waves; Social Forces; and the Laws of Political Motion. Author: P. Hampson...
228p khangoc2393 26092012 36 14 Download

AFTER some fourteen years of teaching in American colleges and universities the author finds that the average high school graduate has not developed in himself a mathematical type of reasoning. lie therefore hopes that this treatment may in some measure accomplish this purpose. The first few chapters are devoted to a thorough review of high school algebra, for the author is convinced that most college freshmen need considerable drill on the fundamental processes of algebra before attempting a very extensive study of mathematics....
315p tom_123 14112012 34 12 Download

I wrote this text for a one semester course at the sophomorejunior level. Our experience with students taking our junior physics courses is that even if they’ve had the mathematical prerequisites, they usually need more experience using the mathematics to handle it efficiently and to possess usable intuition about the processes involved. If you’ve seen infinite series in a calculus course, you may have no idea that they’re good for anything.
456p camnhung_1 13122012 23 11 Download

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, with particular emphasis on developing an appreciation of underlying mathematical theory. Beginning with basic deﬁnitions, properties and derivations of some fundamental equations of mathematical physics from basic principles, the book studies ﬁrstorder equat
385p truongnghen 21012013 43 10 Download

This Second Edition of the goto reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finitedifference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The read...
0p la_la123 05042013 34 9 Download

Partial differential equations (PDEs) are very important in modelling as their solutions unlock the secrets to a range of important phenomena in engineering and physics. The PDE known as the wave equation models sound waves, light waves and water waves. It arises in fields such as acoustics, electromagnetics and fluid dynamics.
114p sofia11 25052012 53 7 Download

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of LaneEmden type, including the following two model problems: −∆p u = uq + µ, Fk [−u] = uq + µ, u ≥ 0, on Rn , or on a bounded domain Ω ⊂ Rn . Here ∆p is the pLaplacian deﬁned by ∆p u = div ( u up−2 ), and Fk [u] is the kHessian deﬁned as the sum of k × k principal minors of the Hessian matrix D2 u (k = 1, 2, . . . ,...
58p dontetvui 17012013 32 7 Download

To introduce the ]orwardbackward stochastic differential equations (FBS DEs, for short), let us begin with some examples. Unless otherwise speci fled, throughout the book, we let (~, •, {Ft)t_0, P) be a complete filtered probability space on which is defined a ddimensional standard Brownian motion W(t), such that {5~t }t_0 is the natural filtration of W(t), augmented by...
281p beobobeo 01082012 27 6 Download

The Project Gutenberg EBook of First Course in the Theory of Equations, by Leonard Eugene Dickson This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or reuse it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: First Course in the Theory of Equations Author: Leonard Eugene Dickson Release Date: August 25, 2009
207p khangoc2393 26092012 29 6 Download

We introduce and study “isomonodromy” transformations of the matrix linear diﬀerence equation Y (z + 1) = A(z)Y (z) with polynomial A(z). Our main result is construction of an isomonodromy action of Zm(n+1)−1 on the space of coeﬃcients A(z) (here m is the size of matrices and n is the degree of A(z)). The (birational) action of certain rank n subgroups can be described by diﬀerence analogs of the classical Schlesinger equations, and we prove that for generic initial conditions these diﬀerence Schlesinger equations have a unique solution. ...
43p tuanloccuoi 04012013 27 6 Download

The stochastic 2D NavierStokes equations on the torus driven by degenerate noise are studied. We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic. In particular, our results yield a purely geometric characterization of a class of noises for which the equation is ergodic in L2 (T2 ). Unlike previous 0 works, this class is independent of the viscosity and the strength of the noise.
41p noel_noel 17012013 21 7 Download

In this paper we describe the propagation of C ∞ and Sobolev singularities for the wave equation on C ∞ manifolds with corners M equipped with a Rie2 1 mannian metric g. That is, for X = M × Rt , P = Dt − ∆M , and u ∈ Hloc (X) solving P u = 0 with homogeneous Dirichlet or Neumann boundary conditions, we show that WFb (u) is a union of maximally extended generalized broken bicharacteristics. This result is a C ∞ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with...
65p dontetvui 17012013 31 6 Download

The increasing demand on ultra miniturized electronic devices for ever improving performances has led to the necessity of a deep and detailed understanding of the mathematical theory of charge transport in semiconductors.
151p thix1minh 16102012 28 5 Download