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See below for a selection of the latest books from Applied mathematics category. Presented with a red border are the Applied mathematics books that have been lovingly read and reviewed by the experts at Lovereading. With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Applied mathematics books and those from many more genres to read that will keep you inspired and entertained. And it's all free!
Algorithmic Trading and Quantitative Strategies provides an in-depth overview of this growing field with a unique mix of quantitative rigor and practitioner's hands-on experience. The focus on empirical modeling and practical know-how makes this book a valuable resource for students and professionals. The book starts with the often overlooked context of why and how we trade via a detailed introduction to market structure and quantitative microstructure models. The authors then present the necessary quantitative toolbox including more advanced machine learning models needed to successfully operate in the field. They next discuss the subject of quantitative trading, alpha generation, active portfolio management and more recent topics like news and sentiment analytics. The last main topic of execution algorithms is covered in detail with emphasis on the state of the field and critical topics including the elusive concept of market impact. The book concludes with a discussion on the technology infrastructure necessary to implement algorithmic strategies in large-scale production settings. A git-hub repository includes data-sets and explanatory/exercise Jupyter notebooks. The exercises involve adding the correct code to solve the particular analysis/problem.
Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine solving great problems, imagine new problems never before thought of, imagine combining music, art, poetry, literature, architecture, theatre and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. This seventh volume starts with a homage to the Italian artist Mimmo Paladino who created exclusively for the Venice Conference 2019 ten original and unique works of art paper dedicated to the themes of the meeting. A large section is dedicated to the most recent Fields Medals including a Homage to Maryam Mirzakhani including a presentation of the exhibition on soap bubbles in art and science that took place in 2019. A section is dedicated to cinema and theatre including the performances by Claire Bardainne & Adrien Mondot. A part of the conference focused on the community of mathematicians, their role in literature and even in politics with the extraordinary example of Antanas Mockus Major of Bogota. Mathematics in the constructions of bridges, in particular in Italy in the Sixties was presented by Tullia Iori. A very particular contribution on Origami by a mathematician, Marco Abate and an artist, Alessandro Beber. And many other topics. As usual the topics are treated in a way that is rigorous but captivating, detailed and full of evocations. This is an all-embracing look at the world of mathematics and culture. The world, life, culture, everything has changed in a few weeks with the Coronavirus. Culture, science are the main ways to safeguard people's physical and social life. Trust in humanity's creativity and ability. The motto today in Italy is Everything will be fine.This work is addressed to all those who have an interest in Mathematics.
It is well-known that modern stochastic calculus has been exhaustively developed under standard conditions. Despite such a well-developed theory, there is evidence to suggest that these very convenient technical conditions cannot necessarily be fulfilled in real-world applications. Optional Processes: Theory and Applications is a book that seeks to delve into the existing theory, new developments and applications of optional processes on unusual probability spaces. The development of stochastic calculus of optional processes marks the beginning of a new and more general form of stochastic analysis. This book aims to provide an accessible, comprehensive and up-to-date exposition of optional processes and their numerous properties. Furthermore, the book presents not only current theory of optional processes, but it also contains a spectrum of applications to stochastic differential equations, filtering theory and mathematical finance. Features Suitable for graduate students and researchers in mathematical finance, actuarial science, applied mathematics and related areas Compiles almost all essential results on the calculus of optional processes in unusual probability spaces Contains many advanced analytical results for stochastic differential equations and statistics pertaining to the calculus of optional processes Develops new methods in finance based on optional processes such as a new portfolio theory, defaultable claim pricing mechanism etc.
Since their appearance in mid-1980s, wavelets and, more generally, multiscale methods have become powerful tools in mathematical analysis and in applications to numerical analysis and signal processing. This book is based on Ondelettes et Traitement Numerique du Signal by Albert Cohen. It has been translated from French by Robert D. Ryan and extensively updated by both Cohen and Ryan. It studies the existing relations between filter banks and wavelet decompositions and shows how these relations can be exploited in the context of digital signal processing. Throughout, the book concentrates on the fundamentals. It begins with a chapter on the concept of multiresolution analysis, which contains complete proofs of the basic results. The description of filter banks that are related to wavelet bases is elaborated in both the orthogonal case (Chapter 2), and in the biorthogonal case (Chapter 4). The regularity of wavelets, how this is related to the properties of the filters and the importance of regularity for the algorithms are the subjects of Chapter 3. Chapter 5 looks at multiscale decomposition as it applies to stochastic processing, in particular to signal and image processing.
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
What is the relationship between the number of films Nicolas Cage appears in and the number of deaths by drowning in swimming pools? How in 1850s London did John Snow calculate the relationship between the city's water suppliers and the number of deaths from cholera? Thousands of years ago the inhabitants of Mesopotamia became the first to use numbers. Since then, mathematics has been unstoppable. It's behind almost everything, from search-engines to cruise-control, from coffee-makers to timetables. But now that we hardly ever need to do arithmetic any longer, how relevant is mathematics to everyday life? Plusses and Minuses demonstrates which role mathematics play in human endeavour. It begins with the mathematical skills we all possess from birth, to arrive at the many applications of mathematics today. It turns out that without knowledge of the ideas behind mathematical calculations we find ourselves sidelined. Stefan Buijsman answers questions such as: What is life without numbers? Does mathematics add anything? What are mistakes in mathematics? Is it all mere chance? How can we get a grip on uncertainty? Can mathematics help us to treat cancer more effectively? Buijsman makes connections between philosophy, psychology and history, while explaining the wonderful world of mathematics for absolutely everyone.
Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics connects difficult problems with similar more simple ones. The book's strategy works for differential and integral equations and systems and for many theoretical and applied problems in mathematics, mathematical physics, probability and statistics, applied computer science and numerical methods. In addition to being exposed to recent advances, readers learn to use transmutation methods not only as practical tools, but also as vehicles that deliver theoretical insights.
Inverse problems are one of the oldest, most important mathematical problems in science and engineering. However, the field of inverse problems has undergone rapid development in the last two decades due to the massive increase in computing power and the development of powerful numerical techniques such as finite difference method, finite element method, finite volume method and spectral method. Because of their applications in medical imaging, underground prospecting, nondestructive testing, astronomical imaging, image processing, remote sensing, and data mining, the Business, Industry and Government (BIG) sectors are very interested in applied inverse problems. Despite its great importance and demand, there is no project oriented applied and computational inverse problem book that can be adapted as a text for senior undergraduates as their capstone experience and pathway to research in applied analysis. The goal of this book is to fill this gap and provide opportunity to students, professors and researchers in biosciences, applied sciences, applied-computational mathematics, engineering, mathematical programming, mathematical economics, mathematical biology and optimization via applied and computational inverse problem projects. This book is sequenced as three major parts. The part of the book that includes chapters 1, 2 and 3 highlights major concepts including results in applied analysis. The second part of the book that includes chapters 4 and 5 displays the key numerical methods and programming in MATLAB. The final part of the book that includes chapters 6, 7, 8, 9, 10, 11 and 12 showcases several inverse-problem-related projects done with students.
Biomass gasification has received tremendous research attention all over the world because (a) biomass is abundant, diverse, renewable, and environmentally friendly, (b) the produced biogas/syngas is clean, versatile, efficient, and easily controllable, and (c) the system used is generally simple. This book aims to present up-to-date research on biomass gasification. The content of this book is divided to three parts or sections: the fundamentals of biomass gasification as presented in chapters 1 to 4, experimenting of biomass gasification as presented in chapters 5 and 6, and simulation of biomass gasification as presented in chapters 7 to 8. In chapter 1 (An introduction to biomass), biomass is introduced, and these mainly include biomass resources, biomass and energy, biomass and environment, benefits of biomass, etc. In chapter 2 (Biomass properties), the properties of biomass are introduced, and these include structural compositions (cellulose, hemicellulose, lignin, starch, extractives, proteins, etc.), physical properties (moisture content, particle size, bulk density, porosity, etc.), chemical properties (elemental compositions, chemical compositions, heating value, etc.) and the other properties (thermal conductivity, ignition temperature, specific heat, etc.). In chapter 3 (Biomass gasification technologies), biomass gasification technologies are classified and introduced according to the gasification agents used (air, oxygen, steam, hydrogen, supercritical water, carbon dioxide and the combination of the above gases), and some factors that have significant impacts on gasification technologies (or performances) are also discussed. Then the emerging gasification technologies (microwave gasification, solar gasification and plasma gasification) using new heat sources are also detailed, and the effects of heat source on biomass gasification are also discussed. In chapter 4 (Biomass gasifiers), the main gasifier structures are introduced, and these include fixed bed gasifiers (updraft and downdraft), fluidized bed gasifiers (bubbling fluidized bed, circulating fluidized bed and dual fluidized bed), entrained flow gasifiers (Koppers-Totzek (K-T) gasifier, shell gasifier and Gas Schwarze Pumpe (GSP) gasifier and Colin gasifier). The other gasifier structures are also presented, and these include solar gasifier, microwave gasifier and plasma gasifier, etc. In chapter 5 (High-temperature gasification of biomass), the effects of physical and chemical properties of biomass on high-temperature gasification are analyzed, and these mainly include high-temperature pyrolysis of biomass, thermal cracking of biomass tar, and high-temperature gasification of biomass char. In chapter 6 (Supercritical water gasification of biomass), the properties of SCW (supercritical water) are detailed and the effects of different operating parameters on CE (carbon conversion efficiency) and GE (gasification efficiency) are summarized. The operating parameters include feedstock characteristics, biomass concentration, gasification temperature, reactor pressure, residence time and catalyst types and concentration. In chapter 7 (Simulation of biomass gasification using thermodynamic equilibrium model), the two thermodynamic equilibrium models of stoichiometric thermodynamic equilibrium models and non-stoichiometric equilibrium models (using Gibbs free energy minimization approach) are initially introduced, and the simulation results obtained from biomass gasification using thermodynamic equilibrium models based on Aspen Plus are then presented. In chapter 8 (Simulation of biomass gasification using intrinsic reaction rate submodel), the numerical simulation of biomass gasification using the intrinsic reaction rate submodel was introduced. The kinetic model for char-gas reaction as well as the intrinsic kinetic data for various biomass materials are detailed. A CFD (computational fluid dynamic) model based on the intrinsic kinetics is developed for biomass entrained flow gasification, and the effects of operating conditions including gasification temperature, equivalence ratio, CO2/biomass mass ratio and average particle size on the gasification performances in a lab-scale entrained flow reactor are investigated. Multi-objective optimization of biomass gasification based on response surface method is then studied to improve the gasification performances. Hopefully, the content of this book can supply a helpful guide to the up-to-date research on the fundamentals, experimental, and simulation of biomass gasification.
This manual is written to accompany the third edition of Mathematical Interest Theory by Leslie Jane Federer Vaaler, Shinko Kojima Harper, and James W. Daniel. It contains solutions to all the odd-numbered problems in that text. Individuals preparing for the Society of Actuaries examination in Financial Mathematics should find that the detailed solutions contained herein are an invaluable aid in their study. As in the main text, it is presumed that the reader has a Texas Instrument BA II Plus or BA II Plus Professional calculator available and instruction in its efficient use to solve these problems is included.
This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24-25, 2016, at Bowdoin College, Brunswick, Maine. Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub-disciplines in these fields. The academic importance of this field has been recognized in physics through the 2016 Nobel Prize. In mathematics, some of the 1990 Fields Medals were awarded for developments in topics that nowadays are fundamental tools for the study of topological quantum computation. Moreover, the practical importance of this discipline has been underscored by recent industry investments. The relative youth of this field combined with a high degree of interest in it makes now an excellent time to get involved. Furthermore, the cross-disciplinary nature of topological quantum computing provides an unprecedented number of opportunities for cross-pollination of mathematics, physics, and computer science. This can be seen in the variety of works contained in this volume. With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.