Modern Mathematical Tools and Techniques in Capturing Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 3642208525
Total Pages : 498 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Modern Mathematical Tools and Techniques in Capturing Complexity by : Leandro Pardo

Download or read book Modern Mathematical Tools and Techniques in Capturing Complexity written by Leandro Pardo and published by Springer Science & Business Media. This book was released on 2011-05-26 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

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Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Numerical Methods for Hyperbolic Equations

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Author :
Publisher : CRC Press
ISBN 13 : 020356233X
Total Pages : 434 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Numerical Methods for Hyperbolic Equations by : Elena Vázquez-Cendón

Download or read book Numerical Methods for Hyperbolic Equations written by Elena Vázquez-Cendón and published by CRC Press. This book was released on 2012-11-05 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover

Modern Mathematical Tools and Techniques in Capturing Complexity

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Publisher :
ISBN 13 : 9788364220852
Total Pages : 0 pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Modern Mathematical Tools and Techniques in Capturing Complexity by :

Download or read book Modern Mathematical Tools and Techniques in Capturing Complexity written by and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life problems are often quite complicated and, for centuries, Mathematics has provided the necessary tools and ideas to formulate these problems mathematically and then help in solving them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.

The Mathematics of the Uncertain

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Author :
Publisher : Springer
ISBN 13 : 3319738488
Total Pages : 897 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Mathematics of the Uncertain by : Eduardo Gil

Download or read book The Mathematics of the Uncertain written by Eduardo Gil and published by Springer. This book was released on 2018-02-28 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including Mathematics of chance (Probability and Statistics), Mathematics of communication (Information Theory), and Mathematics of imprecision (Fuzzy Sets Theory and others). These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications. The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.

Strengthening Links Between Data Analysis and Soft Computing

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Publisher : Springer
ISBN 13 : 3319107658
Total Pages : 294 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Strengthening Links Between Data Analysis and Soft Computing by : Przemyslaw Grzegorzewski

Download or read book Strengthening Links Between Data Analysis and Soft Computing written by Przemyslaw Grzegorzewski and published by Springer. This book was released on 2014-09-10 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions presented at the 7th International Conference on Soft Methods in Probability and Statistics SMPS 2014, held in Warsaw (Poland) on September 22-24, 2014. Its aim is to present recent results illustrating new trends in intelligent data analysis. It gives a comprehensive overview of current research into the fusion of soft computing methods with probability and statistics. Synergies of both fields might improve intelligent data analysis methods in terms of robustness to noise and applicability to larger datasets, while being able to efficiently obtain understandable solutions of real-world problems.

Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction

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Publisher : World Scientific
ISBN 13 : 180061182X
Total Pages : 568 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction by : Athanassios Fokas

Download or read book Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction written by Athanassios Fokas and published by World Scientific. This book was released on 2022-12-12 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.

Algebraic and Discrete Mathematical Methods for Modern Biology

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Publisher : Academic Press
ISBN 13 : 0128012714
Total Pages : 383 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Algebraic and Discrete Mathematical Methods for Modern Biology by : Raina Robeva

Download or read book Algebraic and Discrete Mathematical Methods for Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2015-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources

Malware Diffusion Models for Modern Complex Networks

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Publisher : Morgan Kaufmann
ISBN 13 : 0128027169
Total Pages : 326 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Malware Diffusion Models for Modern Complex Networks by : Vasileios Karyotis

Download or read book Malware Diffusion Models for Modern Complex Networks written by Vasileios Karyotis and published by Morgan Kaufmann. This book was released on 2016-02-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Malware Diffusion Models for Wireless Complex Networks: Theory and Applications provides a timely update on malicious software (malware), a serious concern for all types of network users, from laymen to experienced administrators. As the proliferation of portable devices, namely smartphones and tablets, and their increased capabilities, has propelled the intensity of malware spreading and increased its consequences in social life and the global economy, this book provides the theoretical aspect of malware dissemination, also presenting modeling approaches that describe the behavior and dynamics of malware diffusion in various types of wireless complex networks. Sections include a systematic introduction to malware diffusion processes in computer and communications networks, an analysis of the latest state-of-the-art malware diffusion modeling frameworks, such as queuing-based techniques, calculus of variations based techniques, and game theory based techniques, also demonstrating how the methodologies can be used for modeling in more general applications and practical scenarios. - Presents a timely update on malicious software (malware), a serious concern for all types of network users, from laymen to experienced administrators - Systematically introduces malware diffusion processes, providing the relevant mathematical background - Discusses malware modeling frameworks and how to apply them to complex wireless networks - Provides guidelines and directions for extending the corresponding theories in other application domains, demonstrating such possibility by using application models in information dissemination scenarios

Mathematics as a Tool

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Publisher : Springer
ISBN 13 : 3319544691
Total Pages : 285 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematics as a Tool by : Johannes Lenhard

Download or read book Mathematics as a Tool written by Johannes Lenhard and published by Springer. This book was released on 2017-04-04 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.

Modern Mathematical Methods and High Performance Computing in Science and Technology

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Publisher : Springer
ISBN 13 : 981101454X
Total Pages : 319 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Modern Mathematical Methods and High Performance Computing in Science and Technology by : Vinai K. Singh

Download or read book Modern Mathematical Methods and High Performance Computing in Science and Technology written by Vinai K. Singh and published by Springer. This book was released on 2016-08-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a reference work and as a basis for further study and research. All contributing authors are respected academicians, scientists and researchers from around the globe. All the papers were presented at the international conference on Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST 2015), held at Raj Kumar Goel Institute of Technology, Ghaziabad, India, from 27–29 December 2015, and peer-reviewed by international experts. The conference provided an exceptional platform for leading researchers, academicians, developers, engineers and technocrats from a broad range of disciplines to meet and discuss state-of-the-art mathematical methods and high performance computing in science & technology solutions. This has brought new prospects for collaboration across disciplines and ideas that facilitate novel breakthroughs.

Social Media and Networking: Concepts, Methodologies, Tools, and Applications

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Publisher : IGI Global
ISBN 13 : 1466686154
Total Pages : 2337 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Social Media and Networking: Concepts, Methodologies, Tools, and Applications by : Management Association, Information Resources

Download or read book Social Media and Networking: Concepts, Methodologies, Tools, and Applications written by Management Association, Information Resources and published by IGI Global. This book was released on 2015-07-31 with total page 2337 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the digital era, users from around the world are constantly connected over a global network, where they have the ability to connect, share, and collaborate like never before. To make the most of this new environment, researchers and software developers must understand users’ needs and expectations. Social Media and Networking: Concepts, Methodologies, Tools, and Applications explores the burgeoning global community made possible by Web 2.0 technologies and a universal, interconnected society. With four volumes of chapters related to digital media, online engagement, and virtual environments, this multi-volume reference is an essential source for software developers, web designers, researchers, students, and IT specialists interested in the growing field of digital media and engagement. This four-volume reference includes various chapters covering topics related to Web 2.0, e-governance, social media activism, internet privacy, digital and virtual communities, e-business, customer relationship management, and more.

Mathematics and Computation

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Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Computational Complexity

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Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Complex Systems and Society

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Publisher : Springer Science & Business Media
ISBN 13 : 1461472423
Total Pages : 102 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Complex Systems and Society by : Nicola Bellomo

Download or read book Complex Systems and Society written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2013-05-24 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today. On the one hand, mathematicians need economists and social scientists to better address the methodologies they design in a more realistic way; on the other hand, economists and social scientists need to be aware of sound mathematical modelling tools in order to understand and, ultimately, solve the complex problems they encounter in their research. With this goal in mind, this work is designed to take into account a multidisciplinary approach that will encourage the transfer of knowledge, ideas, and methodology from one discipline to the other. In particular, the work has three main themes: Demystifying and unravelling complex systems; Introducing models of individual behaviours in the social and economic sciences; Modelling socio-economic sciences as complex living systems. Specific tools examined in the work include a recently developed modelling approach using stochastic game theory within the framework of statistical mechanics and progressing up to modeling Darwinian evolution. Special attention is also devoted to social network theory as a fundamental instrument for the understanding of socio-economic systems.​

Mathematics of Planet Earth

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Author :
Publisher : SIAM
ISBN 13 : 1611973716
Total Pages : 198 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematics of Planet Earth by : Hans Kaper

Download or read book Mathematics of Planet Earth written by Hans Kaper and published by SIAM. This book was released on 2015-03-31 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our planet faces many challenges. In 2013, an international partnership of more than 140 scientific societies, research institutes, and organizations focused its attention on these challenges. This project was called Mathematics of Planet Earth and featured English- and French-language blogs, accessible to nonmathematicians, as part of its outreach activities. This book is based on more than 100 of the 270 English-language blog posts and focuses on four major themes: A Planet to Discover; A Planet Supporting Life; A Planet Organized by Humans; A Planet at Risk.--[Source inconnue].

C++ High Performance for Financial Systems

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Publisher : Packt Publishing Ltd
ISBN 13 : 1805120972
Total Pages : 317 pages
Book Rating : 4.8/5 (51 download)

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Book Synopsis C++ High Performance for Financial Systems by : Ariel Silahian

Download or read book C++ High Performance for Financial Systems written by Ariel Silahian and published by Packt Publishing Ltd. This book was released on 2024-03-29 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth guide covering system architecture, low-latency strategies, risk management, and machine learning for experienced programmers looking to enter the financial industry and build high-performance trading systems Key Features Get started with building financial trading systems Focus on scalability, architecture, and implementing low-latency network communication in C++ Optimize code and use parallel computing techniques for better performance Purchase of the print or Kindle book includes a free PDF eBook Book DescriptionUnlock the secrets of the finance industry and dive into the world of high-performance trading systems with C++ High Performance for Financial Systems. Trading systems are the backbone of the financial world, and understanding how to build them for optimal performance is crucial for success. If you've ever dreamt of creating scalable and cutting-edge financial software, this guide is your key to success. A cornerstone of this book is its coverage of system design and architecture. The book starts by outlining the role of C++ in finance and trading. You'll learn the principles and methodologies behind building systems that can handle vast amounts of data, execute complex trading strategies with ease, and maintain the highest levels of reliability. Armed with this knowledge, you'll be equipped to tackle even the most challenging trading scenarios. In the fast-paced world of finance, every millisecond counts. This book delves into low-latency strategies that will enable your trading systems to react with lightning speed. You’ll also learn the art of reducing latency, optimizing code, and leveraging the latest hardware and software techniques to gain a competitive edge in the market. By the end of this book, you’ll be well-versed in architecting a financial trading system as well as advanced strategies and new industry trends.What you will learn Design architecture for scalable financial trading systems Understand strategies for low-latency trading and high-frequency trading Discover how to implement machine learning algorithms for financial data analysis Understand risk management techniques for financial trading systems Explore advanced topics in finance and trading, including machine learning for algorithmic trading and portfolio optimization Get up to speed with best practices for developing financial trading systems with C++ Who this book is for This book is for experienced C++ developers who want to enter the finance industry and learn how trading systems work. It is also suitable for quantitative analysts, financial engineers, and anyone interested in building scalable and robust trading systems. The book assumes familiarity with the C++ programming language, data structures, and algorithms. Additionally, readers should have a basic understanding of finance and trading concepts, such as market data, trading strategies, and risk management.