Fundamental ideas of analysis

Author: Michael C. Reed

Publisher: John Wiley & Sons Inc

ISBN: 9780471159964

Category: Mathematics

Page: 413

View: 3945

The ideas and methods of mathematics, long central to the physical sciences, now play an increasingly important role in a wide variety of disciplines. Analysis provides theorems that prove that results are true and provides techniques to estimate the errors in approximate calculations. The ideas and methods of analysis play a fundamental role in ordinary differential equations, probability theory, differential geometry, numerical analysis, complex analysis, partial differential equations, as well as in most areas of applied mathematics.

An Introduction to Mathematical Analysis

International Series of Monographs on Pure and Applied Mathematics

Author: Robert A. Rankin

Publisher: Elsevier

ISBN: 1483137309

Category: Mathematics

Page: 624

View: 9950

An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.

Fundamental Analysis and Position Trading

Evolution of a Trader

Author: Thomas N. Bulkowski

Publisher: John Wiley & Sons

ISBN: 1118508750

Category: Business & Economics

Page: 320

View: 871

Comprehensive coverage of the four major trading styles Evolution of a Trader explores the four trading styles that people use when learning to trade or invest in the stock market. Often, beginners enter the stock market by: Buying and holding onto a stock (value investing). That works well until the trend ends or a bear market begins. Then they try Position trading. This is the same as buy-and-hold, except the technique sells positions before a significant trend change occurs. Swing trading follows when traders increase their frequency of trading, trying to catch the short-term up and down swings. Finally, people try Day trading by completing their trades in a single day. This series provides comprehensive coverage of the four trading styles by offering numerous tips, sharing discoveries, and discussing specific trading setups to help you become a successful trader or investor as you journey through each style. Trading Basics takes an in-depth look at money management, stops, support and resistance, and offers dozens of tips every trader should know. Fundamental Analysis and Position Trading discusses when to sell a buy-and-hold position, uncovers which fundamentals work best, and uses them to find stocks that become 10-baggers—stocks that climb by 10 times their original value. Swing and Day Trading reveals methods to time the market swings, including specific trading setups, but it covers the basics as well, such as setting up a home trading office and how much money you can make day trading.

Data Mining and Analysis

Fundamental Concepts and Algorithms

Author: Mohammed J. Zaki,Wagner Meira, Jr

Publisher: Cambridge University Press

ISBN: 0521766338

Category: Computers

Page: 562

View: 1298

A comprehensive overview of data mining from an algorithmic perspective, integrating related concepts from machine learning and statistics.

History of the Idea of Progress

Author: Robert Nisbet

Publisher: Routledge

ISBN: 1351515462

Category: History

Page: 370

View: 9985

The idea of progress from the Enlightenment to postmodernism is still very much with us. In intellectual discourse, journals, popular magazines, and radio and talk shows, the debate between those who are "progressivists" and those who are "declinists" is as spirited as it was in the late seventeenth century. In History of the Idea of Progress, Robert Nisbet traces the idea of progress from its origins in Greek, Roman, and medieval civilizations to modern times. It is a masterful frame of reference for understanding the present world. Nisbet asserts there are two fundamental building blocks necessary to Western doctrines of human advancement: the idea of growth, and the idea of necessity. He sees Christianity as a key element in both secular and spiritual evolution, for it conveys all the ingredients of the modern idea of progress: the advancement of the human race in time, a single time frame for all the peoples and epochs of the past and present, the conception of time as linear, and the envisagement of the future as having a Utopian end. In his new introduction, Nisbet shows why the idea of progress remains of critical importance to studies of social evolution and natural history. He provides a contemporary basis for many disciplines, including sociology, economics, philosophy, religion, politics, and science. History of the Idea of Progress continues to be a major resource for scholars in all these areas.

Content-Based Analysis of Digital Video

Author: Alan Hanjalic

Publisher: Springer Science & Business Media

ISBN: 1402081154

Category: Computers

Page: 193

View: 3860

Content-Based Analysis Of Digital Video focuses on fundamental issues underlying the development of content access mechanisms for digital video. It treats topics that are critical to successfully automating the video content extraction and retrieval processes, and includes coverage of: - Video parsing, - Video content indexing and representation, - Affective video content analysis. In this well illustrated book the author integrates related information currently scattered throughout the literature and combines it with new ideas into a unified theoretical approach to video content analysis. The material also suggests ideas for future research. Systems developers, researchers and students working in the area of content-based analysis and retrieval of video and multimedia in general will find this book invaluable.

Applied Analysis

Mathematical Methods in Natural Science

Author: Takashi Suzuki,Takasi Senba

Publisher: World Scientific Publishing Company

ISBN: 1911299549

Category: Mathematics

Page: 532

View: 1161

This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution. Contents: Field FormationGeometric ObjectsCalculus of VariationsInfinite-Dimensional AnalysisScatteringRandom Motion of ParticlesLinear PDENonlinear PDE Readership: Mathematics undergraduates.

Theory of Fundamental Processes

Author: Richard Feynman

Publisher: CRC Press

ISBN: 0429961057

Category: Technology & Engineering

Page: 188

View: 6061

In these classic lectures, Richard Feynman first considers the basic ideas of quantum mechanics, treating the concept of amplitude in special detail and emphasizing that other things, such as the combination laws of angular momenta, are largely consequences of this concept. Feynman also discusses relativity and the idea of anti-particles, finally returning to a discussion of quantum electrodynamics, which takes up most of this volume.

Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

View: 3606

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.

Theory of Distributions

Author: Svetlin G. Georgiev

Publisher: Springer

ISBN: 3319195271

Category: Mathematics

Page: 218

View: 8056

This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.

Real Analysis with Real Applications

Author: Kenneth R. Davidson,Allan P. Donsig

Publisher: N.A

ISBN: 9780130416476

Category: Mathematics

Page: 624

View: 9234

For one/two-semester undergraduate courses in real analysis. Using a progressive but flexible format, this text develops the principles of real analysis and shows how they can be used in a wide variety of applications.


The Biography of a Dangerous Idea

Author: Charles Seife

Publisher: Penguin

ISBN: 9780140296471

Category: Biography & Autobiography

Page: 248

View: 5279

The history of a controversial but important number begins with its inventors, the Babylonians, and follows its tumultuous and fascinating story to the present era of supercomputers and quantum physics. Reprint.

Amazing and Aesthetic Aspects of Analysis

Author: Paul Loya

Publisher: Springer

ISBN: 1493967959

Category: Mathematics

Page: 722

View: 8143

Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

Fusion Analysis: Merging Fundamental and Technical Analysis for Risk-Adjusted Excess Returns

Author: V. John Palicka CFA CMT

Publisher: McGraw Hill Professional

ISBN: 0071763104

Category: Business & Economics

Page: 512

View: 586

Question: What is the best way to make money on your investments? Answer: There is no one single quick answer. That’s why you need Fusion Analysis. One of the fastest-growing trends in investment today, fusion analysis combines the best of all possible strategies into one powerful, unified system. Based on the now-famous NYIF investment course taught by renowned portfolio manager V. John Palicka CFA CMT, this all-in-one guide shows you how to: Manage fundamental trends like gold investing and small-cap investing Master technical tools such as price forecasts and market data histories Recognize behavioral patterns like fear, greed, impulse, and sentiment Utilize quant systems to adapt, evolve, and balance your investments Whether you’re a hedge fund manager, a portfolio professional, or an individual investor, you’ll find a complete range of techniques that can work together for you. By combining the very best of all investment approaches, Palicka’s integrated system provides the perfect fusion of theory and practice. You’ll learn how to capitalize on the repeating nature of investment psychology—and avoid the emotional fallout that can rattle the market. You’ll learn how to strengthen and diversify your portfolio with strategic buys such as gold and other metals. You’ll learn how to identify future growth companies, evaluate real-estate opportunities, and evaluate your assets for the bigger picture. Once you fuse a strategy together, you can adjust your risks for the highest return possible. In today’s market, you need more than one strategy to grow your investments. You need the full-range potential of Fusion Analysis.

De Motu and the Analyst

A Modern Edition, with Introductions and Commentary

Author: G. Berkeley

Publisher: Springer Science & Business Media

ISBN: 9401125929

Category: Computers

Page: 232

View: 6112

Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.

Fundamental Concepts in Modern Analysis

Author: Vagn Lundsgaard Hansen

Publisher: World Scientific

ISBN: 9789810238940

Category: Science

Page: 236

View: 849

Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences.

Thermal Analysis in Practice

Fundamental Aspects

Author: Matthias Wagner

Publisher: Carl Hanser Verlag GmbH Co KG

ISBN: 1569906440

Category: Technology & Engineering

Page: 350

View: 2701

Thermal analysis comprises a group of techniques used to determine the physical or chemical properties of a substance as it is heated, cooled, or held at constant temperature. It is particularly important for polymer characterization, but also has major application in analysis of pharmaceuticals and foodstuffs. This comprehensive handbook presents practical and theoretical aspects of the key techniques of DSC, TGA, TMA, DMA, and related methods. It also includes separate chapters on the glass transition, polymers, polymorphism, purity determination, and method development. The large number of practical examples included should inspire readers toward new ideas for applications in their own fields of work. The chapters are independent of one another and can be read individually in any desired order. Based on years of experience in thermal analysis of users, application specialists, consultants, and course instructors, this book provides practical help to newcomers, inexperienced users, and anyone else interested in the practical aspects of thermal analysis.

Introduction to Real Analysis

Author: William F. Trench

Publisher: Prentice Hall

ISBN: 9780130457868

Category: Mathematics

Page: 574

View: 4145

Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.