1.

Record Nr.

UNINA9910299655903321

Autore

Cao Guangxi

Titolo

Multifractal Detrended Analysis Method and Its Application in Financial Markets / / by Guangxi Cao, Ling-Yun He, Jie Cao

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018

ISBN

981-10-7916-1

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (255 pages) : illustrations

Disciplina

332.015192

Soggetti

Financial engineering

Big data

Financial Engineering

Big Data/Analytics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Chapter 1 Introduction -- Chapter 2 Long Memory Methods and Comparative Analysis -- Chapter 3 Multifractal Detrended Fluctuation Analysis (MF-DFA) -- Chapter 4 Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) -- Chapter 5 Asymmetric Multifractal Detrended Fluctuation Analysis (MF-ADFA) -- Chapter 6 Asymmetric Multifractal Detrended Cross-Correlation Analysis (MF-ADCCA) -- Chapter 7 Asymmetric DCCA Cross-Correlation Coeffcient -- Chapter 8 Simulation - Taking DMCA as an Example -- Chapter 9 Multifractal Dentrend Method with Different Filtering -- Chapter 10 Risk Analysis Based on Multifractal Detrended Method.

Sommario/riassunto

This book collects high-quality papers on the latest fundamental advances in the state of Econophysics and Management Science, providing insights that address problems concerning the international economy, social development and economic security. This book applies the multi-fractal detrended class method, and improves the method with different filters. The authors apply those methods to a variety of areas: financial markets, energy markets, gold market and so on. This book is arguably a systematic research and summary of various kinds of multi-fractal detrended methods. Furthermore, it puts forward some investment suggestions on a healthy development of financial markets.



2.

Record Nr.

UNINA9910547296403321

Autore

Chiossi Simon G.

Titolo

Essential Mathematics for Undergraduates : A Guided Approach to Algebra, Geometry, Topology and Analysis / / by Simon G. Chiossi

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021

ISBN

9783030871741

9783030871734

Edizione

[1st ed. 2021.]

Descrizione fisica

1 online resource (495 pages)

Disciplina

510

510.711

Soggetti

Algebras, Linear

Logic, Symbolic and mathematical

Geometry

Topology

Discrete mathematics

Linear Algebra

Mathematical Logic and Foundations

Discrete Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Part I: Basic Objects and Formalisation - Round-up of Elementary Logic -- Naive Set Theory -- Functions -- More Set Theory and Logic -- Boolean Algebras. Part 2: Numbers and Structures - Intuitive Arithmetics -- Real Numbers -- Totally Ordered Spaces -- Part 3: Elementary Real Functions - Real Polynomials -- Real Functions of One Real Variables -- Algebraic Functions -- Elementary Transcendental Functions -- Complex Numbers -- Enumerative Combinatorics -- Part 4: Geometry through Algebra - Vector Spaces -- Orthogonal Operators -- Actions & Representations -- Elementary Plane Geometry -- Metric Spaces -- Part 5: Appendices - Etymologies -- Index of names -- Main figures -- Glossary -- References.

Sommario/riassunto

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of



connecting the underpinning key ideas. It guides STEM students towards developing knowledge and skills to enrich their scientific education. In doing so it avoids the common mechanical approach to problem-solving based on the repetitive application of dry formulas. The presentation preserves the mathematical rigour throughout and still stays accessible to undergraduates. The didactical focus is threaded through the assortment of subjects and reflects in the book’s structure. Part 1 introduces the mathematical language and its rules together with the basic building blocks. Part 2 discusses the number systems of common practice, while the backgrounds needed to solve equations and inequalities are developed in Part 3. Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry.Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book. Abundant examples and exercises are disseminated along the text to boost the learning process and allow for independent work. Students will find invaluable material to shepherd them through the first years of an undergraduate course, or to complement previously learnt subject matters. Teachers may pick’n’mix the contents for planning lecture courses or supplementing their classes.