Tag: Calculus

Free Download Calculus 1 Calculator Tricks For Casio Fx-991 Es Plus
Published 10/2023
Created by KINGSLEY OHAJIWU
MP4 | Video: h264, 1280×720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English | Duration: 10 Lectures ( 1h 35m ) | Size: 719 MB

Free Download White Noise Calculus and Fock Space by Nobuaki Obata
English | PDF | 1994 | 195 Pages | ISBN : 3540579850 | 11.6 MB
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.

Free Download The Calculus of Life: Towards a Theory of Life by Andrés Moya
English | PDF (True) | 2015 | 100 Pages | ISBN : 3319169696 | 1 MB
This book explores the exciting world of theoretical biology and is divided into three sections. The first section examines the roles played by renowned scientists such as Jacob, Monod, Rosen, Turing, von Bertalanffy, Waddington and Woodger in developing the field of theoretical biology. The second section, aided with numerous examples, supports the idea that logic and computing are suitable formal languages to describe and understand biological phenomena. The third and final section is, without doubt, the most intellectually challenging and endeavors to show the possible paths we could take to compute a cell – the basic unit of life – or the conditions required for a predictive theory of biological evolution; ultimately, a theory of life in the light of modern Systems Biology. The work aims to show that modern biology is closer than ever to making Goethe’s dream come true and that we have reached a point where synthetic and analytical traditions converge to shed light on the living being as a whole.

Free Download Stochastic Calculus for Finance I: The Binomial Asset Pricing Model by Steven E. Shreve
English | PDF(True) | 2004 | 197 Pages | ISBN : 0387401008 | 13.5 MB
Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master’s program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for stochastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.

Free Download Selected Chapters in the Calculus of Variations by Jürgen Moser , Oliver Knill
English | PDF (True) | 2003 | 139 Pages | ISBN : 3764321857 | 9 MB
0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was a model for the descrip tion of the motion of electrons in a two-dimensional crystal. Aubry investigated a related discrete variational problem and the corresponding minimal solutions. On the other hand, Mather started with a specific class of area-preserving annulus mappings, the so-called monotone twist maps. These maps appear in mechanics as Poincare maps. Such maps were studied by Birkhoff during the 1920s in several papers. In 1982, Mather succeeded to make essential progress in this field and to prove the existence of a class of closed invariant subsets which are now called Mather sets. His existence theorem is based again on a variational principle. Although these two investigations have different motivations, they are closely re lated and have the same mathematical foundation. We will not follow those ap proaches but will make a connection to classical results of Jacobi, Legendre, Weier strass and others from the 19th century. Therefore in Chapter I, we will put together the results of the classical theory which are the most important for us. The notion of extremal fields will be most relevant. In Chapter II we will investigate variational problems on the 2-dimensional torus. We will look at the corresponding global minimals as well as at the relation be tween minimals and extremal fields. In this way, we will be led to Mather sets.

Free Download Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications by J. A. Schouten
English | PDF | 1954 | 535 Pages | ISBN : 364205692X | 42.5 MB
This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI’s famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.

Free Download Partial Differential Equations and Calculus of Variations by Stefan Hildebrandt, Rolf Leis
English | PDF | 1988 | 429 Pages | ISBN : 3540505083 | 25.3 MB
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE’s and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Free Download Lingua Universalis vs. Calculus Ratiocinator: An Ultimate Presupposition of Twentieth-Century Philosophy by Jaakko Hintikka
English | PDF | 1997 | 290 Pages | ISBN : 0792342461 | 33 MB
R. G. Collingwood saw one of the main tasks of philosophers and of historians of human thought in uncovering what he called the ultimate presuppositions of different thinkers, of different philosophical movements and of entire eras of intellectual history. He also noted that such ultimate presuppositions usually remain tacit at first, and are discovered only by subsequent reflection. Collingwood would have been delighted by the contrast that constitutes the overall theme of the essays collected in this volume. Not only has this dichotomy ofviews been one ofthe mostcrucial watersheds in the entire twentieth-century philosophical thought. Not only has it remained largely implicit in the writings of the philosophers for whom it mattered most. It is a truly Collingwoodian presupposition also in that it is not apremise assumed by different thinkers in their argumentation. It is the presupposition of a question, an assumption to the effect that a certain general question can be raised and answered. Its role is not belied by the fact that several philosophers who answered it one way or the other seem to be largely unaware that the other answer also makes sense – if it does. This Collingwoodian question can be formulated in a first rough approximation by asking whether language – our actual working language, Tarski’s "colloquiallanguage" – is universal in the sense of being inescapable. This formulation needs all sorts of explanations, however.

Free Download Fractals and Fractional Calculus in Continuum Mechanics by A. Carpinteri, F. Mainardi
English | PDF | 1997 | 352 Pages | ISBN : 321182913X | 33.9 MB
The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.

Free Download Dynamic Calculus and Equations on Time Scales
by Svetlin G. Georgiev
English | 2023 | ISBN: 3111182894 | 336 pages | True PDF EPUB | 54.61 MB