Beyond Frontiers of Operations Research: Emerging Technologies and Innovative Optimization Paradigms
This book is the result of the presentations given at the 7th AIROYoung Workshop (University of Milan, Italy - February 15 to 17, 2023) and 8th AIROYoung Workshop (University of Calabria, Italy - February 14 to 16, 2024). The selected contributions represent the state-of-the-art knowledge related to several areas of operations research, optimization and data science. The target audience of this book is primarily composed of Ph.D. students and early or experienced researchers in optimization and operations research. Due to its interdisciplinary content, it is of high interest to other closely related research communities. Moreover, it is of interest also for practitioners facing complex decision-making problems in these areas.
Topological Fixed-Point Theory in Suitable Banach Algebras with Applications
This book delves into the topics of fixed-point theory as applied to block operator matrices within the context of Banach algebras featuring multi-valued inputs. Its scope extends to a broad range of equations, encompassing nonlinear biological models as well as two-dimensional boundary value problems associated with burgeoning cell populations and functional systems of differential and integral inclusions. The book systematically introduces the principles of topological fixed-point theory, offering insights into various classes of both single-valued and multi-valued maps. The overarching goal is to disseminate key techniques and outcomes derived from fixed-point theory, with a specific emphasis on its application to both single-valued and multi-valued mappings within the framework of Banach algebras.
Probability and Statistics for Data Science
This self-contained guide introduces two pillars of data science, probability theory, and statistics, side by side, in order to illuminate the connections between statistical techniques and the probabilistic concepts they are based on. The topics covered in the book include random variables, nonparametric and parametric models, correlation, estimation of population parameters, hypothesis testing, principal component analysis, and both linear and nonlinear methods for regression and classification. Examples throughout the book draw from real-world datasets to demonstrate concepts in practice and confront readers with fundamental challenges in data science, such as overfitting, the curse of dimensionality, and causal inference. Code in Python reproducing these examples is available on the book's website, along with videos, slides, and solutions to exercises. This accessible book is ideal for undergraduate and graduate students, data science practitioners, and others interested in the theoretical concepts underlying data science methods.
Stochastic Finance
This book provides an introduction to probabilistic methods in finance, based on stochastic models in discrete time. It is aimed primarily at graduate students in mathematics but may also benefit mathematicians in academia and the financial industry. In this fifth edition, the entire text has been thoroughly revised to enhance clarity and completeness. This includes new sections on
An Elementary Treatise On the Mathematical Theory of Perfectly Elastic Solids
"An Elementary Treatise On the Mathematical Theory of Perfectly Elastic Solids" by William John Ibbetson offers a rigorous exploration into the mechanics of elastic materials, complemented by an insightful examination of viscous fluids. Originally published in 1887, this treatise provides a detailed mathematical framework for understanding the behavior of perfectly elastic solids under various stresses and strains. Ibbetson's work is distinguished by its systematic approach, beginning with fundamental principles and progressing to more complex applications. The inclusion of a section on viscous fluids broadens the scope, making it a valuable resource for students and researchers in applied mathematics, physics, and engineering. This enduring work remains relevant for those seeking a deep understanding of the classical theories underpinning modern materials science and fluid dynamics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Treatise On the Mathematical Theory of Perfectly Elastic Solids
"An Elementary Treatise On the Mathematical Theory of Perfectly Elastic Solids" by William John Ibbetson offers a rigorous exploration into the mechanics of elastic materials, complemented by an insightful examination of viscous fluids. Originally published in 1887, this treatise provides a detailed mathematical framework for understanding the behavior of perfectly elastic solids under various stresses and strains. Ibbetson's work is distinguished by its systematic approach, beginning with fundamental principles and progressing to more complex applications. The inclusion of a section on viscous fluids broadens the scope, making it a valuable resource for students and researchers in applied mathematics, physics, and engineering. This enduring work remains relevant for those seeking a deep understanding of the classical theories underpinning modern materials science and fluid dynamics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of the Method of Least Squares
"Elements of the Method of Least Squares" by Mansfield Merriman offers a comprehensive exploration of a fundamental statistical technique. Originally published in 1877, this enduring work provides a detailed examination of the principles and applications of the method of least squares, a crucial tool for data analysis and curve fitting. The book is designed to guide readers through the mathematical underpinnings of the method, enabling them to apply it effectively in various fields of science and engineering. Merriman's clear and systematic approach makes this book an invaluable resource for students, researchers, and professionals seeking a solid understanding of least squares. With numerous examples and exercises, the book facilitates practical application and mastery of the subject. This historical text remains relevant for its rigorous treatment of the core concepts, making it an essential addition to any mathematical or engineering library.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Theory of Groups and Rings
ABSTRACT ALGEBRA ISN'T JUST THEORY - IT'S THE HIDDEN ARCHITECTURE OF REALITYIn Theory of Groups and Rings, Charlotte Fruittree delivers a rigorous, unapologetically clear exploration of one of mathematics' most foundational territories.From the elegant structures of group theory to the raw algebraic machinery of rings, Fruittree guides readers through the deep logic behind symmetry, modular arithmetic, and structural invariance-without dumbing a damn thing down.Built for thinkers: students who want more than shallow analogies, and professionals who demand substance without the academic pretense.With real-world connections to cryptography, quantum mechanics, and coding theory, it proves that abstract algebra isn't abstract at all-it's the language that reality uses when it wants to get serious.
Elements of the Method of Least Squares
"Elements of the Method of Least Squares" by Mansfield Merriman offers a comprehensive exploration of a fundamental statistical technique. Originally published in 1877, this enduring work provides a detailed examination of the principles and applications of the method of least squares, a crucial tool for data analysis and curve fitting. The book is designed to guide readers through the mathematical underpinnings of the method, enabling them to apply it effectively in various fields of science and engineering. Merriman's clear and systematic approach makes this book an invaluable resource for students, researchers, and professionals seeking a solid understanding of least squares. With numerous examples and exercises, the book facilitates practical application and mastery of the subject. This historical text remains relevant for its rigorous treatment of the core concepts, making it an essential addition to any mathematical or engineering library.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Statistics for Innovation I
This book presents peer-reviewed short papers on methodological and applied statistical research presented at the Italian Statistical Society's international conference on "Statistics for Innovation", SIS 2025, held in Genoa, Italy, June 16-18, 2025. It is the first of four volumes, featuring invited contributions presented in the Plenary, Specialized and Solicited Sessions. Providing a comprehensive overview of innovations in modern statistical methods and applications, the volumes address a large number of topics of current interest, contributing to a rapid dissemination of quantitative methods for data analysis across the various fields of scientific research and social life. The volumes underpin the role of statistics and data science in fostering innovation in numerous fields, including business, industry, finance, technology, environment, health and medicine, official statistics, public policy, welfare, social issues and sustainable development. One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Together with the biennial international Scientific Meeting, the intermediate international statistical conferences on a particular topic of interest represent the Society's most important events which bring together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.
Statistics for Innovation IV
This book presents peer-reviewed short papers on methodological and applied statistical research presented at the Italian Statistical Society's international conference on "Statistics for Innovation", SIS 2025, held in Genoa, Italy, June 16-18, 2025. It is the last of four volumes, featuring the third part of the contributions presented in the Contributed Sessions. Providing a comprehensive overview of innovations in modern statistical methods and applications, the volumes address a large number of topics of current interest, contributing to a rapid dissemination of quantitative methods for data analysis across the various fields of scientific research and social life. The volumes underpin the role of statistics and data science in fostering innovation in numerous fields, including business, industry, finance, technology, environment, health and medicine, official statistics, public policy, welfare, social issues and sustainable development. One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Together with the biennial international Scientific Meeting, the intermediate international statistical conferences on a particular topic of interest represent the Society's most important events which bring together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.
Statistics for Innovation III
This book presents peer-reviewed short papers on methodological and applied statistical research presented at the Italian Statistical Society's international conference on "Statistics for Innovation", SIS 2025, held in Genoa, Italy, June 16-18, 2025. It is the third of four volumes, featuring the second part of the contributions presented in the Contributed Sessions. Providing a comprehensive overview of innovations in modern statistical methods and applications, the volumes address a large number of topics of current interest, contributing to a rapid dissemination of quantitative methods for data analysis across the various fields of scientific research and social life. The volumes underpin the role of statistics and data science in fostering innovation in numerous fields, including business, industry, finance, technology, environment, health and medicine, official statistics, public policy, welfare, social issues and sustainable development. One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Together with the biennial international Scientific Meeting, the intermediate international statistical conferences on a particular topic of interest represent the Society's most important events which bring together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.
Statistics for Innovation II
This book presents peer-reviewed short papers on methodological and applied statistical research presented at the Italian Statistical Society's international conference on "Statistics for Innovation", SIS 2025, held in Genoa, Italy, June 16-18, 2025. It is the second of four volumes, featuring the first part of the contributions presented in the Contributed Sessions. Providing a comprehensive overview of innovations in modern statistical methods and applications, the volumes address a large number of topics of current interest, contributing to a rapid dissemination of quantitative methods for data analysis across the various fields of scientific research and social life. The volumes underpin the role of statistics and data science in fostering innovation in numerous fields, including business, industry, finance, technology, environment, health and medicine, official statistics, public policy, welfare, social issues and sustainable development. One of the aims of the Italian Statistical Society (SIS) is to promote scientific activities for the development of statistical sciences. Together with the biennial international Scientific Meeting, the intermediate international statistical conferences on a particular topic of interest represent the Society's most important events which bring together national and international researchers and professionals to exchange ideas and discuss recent advances and developments in theoretical and applied statistics.
Spectral Theory for Linear Operators
This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces.
Teaching and Learning Mathematics Online
Teaching and Learning Mathematics Online, Second Edition continues to present meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with the community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content.New to the Second Edition Nine brand new chapters Reflections on the lessons of COVID-19 Explorations of new technological opportunities
Introduction to Political Analysis in R
Aimed at equipping readers with the essential quantitative skills to analyze political data, the book bridges practical coding techniques in R with foundational statistical concepts, emphasizing real-world applications in politics. ics while developing transferable analytical skills.
Teaching and Learning Mathematics Online
Teaching and Learning Mathematics Online, Second Edition continues to present meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with the community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content.New to the Second Edition Nine brand new chapters Reflections on the lessons of COVID-19 Explorations of new technological opportunities
Metabolomics
This second edition volume brings together some of the best experts in the field of modern metabolomics to discuss the latest various techniques used to study specific metabolite classes, and metabolomics in bacterial and mammalian systems. The chapters in this book cover topics such as handling big data for metabolite identification and quantification, as well as building pathways for comparison with other omes, Isotopic Ratio Outlier Analysis (IROA) for quantitative analysis; cholesterol and derivatives in ocular tissues using LC-MS/MS methods; microbial metabolites analysis by mass spectrometry; the metabolomic study of tissues in different diseases; and NMR analysis in livestock metabolomics. It also includes several chapters on the emerging area of spatial metabolomics. Written in the highly successful Methods in Molecular Biology series format, the chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding pitfalls. Cutting-edge and authoritative, Metabolomics: Methods and Protocols, Second Edition is a valuable resource for any researcher looking to expand their knowledge about this important and advancing field.
One Complex Variable from the Several Variable Point of View
One complex variable is the inspiration and testing ground for several complex variables, and several complex variables is the natural generalization of one complex variable.
Introduction to Political Analysis in R
Aimed at equipping readers with the essential quantitative skills to analyze political data, the book bridges practical coding techniques in R with foundational statistical concepts, emphasizing real-world applications in politics. ics while developing transferable analytical skills.
Certain Non-linear Integral Equations
"Certain Non-linear Integral Equations" presents a detailed exploration of advanced mathematical concepts by Caroline Eustis Seely. This work delves into the complexities of non-linear integral equations, providing rigorous analysis and insights into their behavior and solutions. Essential reading for mathematicians, physicists, and engineers seeking a deeper understanding of these critical equations and their applications in diverse fields.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Starting Category Theory
One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks.Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra.
Certain Non-linear Integral Equations
"Certain Non-linear Integral Equations" presents a detailed exploration of advanced mathematical concepts by Caroline Eustis Seely. This work delves into the complexities of non-linear integral equations, providing rigorous analysis and insights into their behavior and solutions. Essential reading for mathematicians, physicists, and engineers seeking a deeper understanding of these critical equations and their applications in diverse fields.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
S矇minaire de Probabilit矇s LII
The last! This volume closes the S矇minaire de Probabilit矇s, a long and rich series that started in 1966 under the name S矇minaire de Probabilit矇s de Strasbourg. In addition to a tribute to our colleague Dominique L矇pingle, who passed away in December 2021, it presents a selection of texts that reflect recent research streams in probability, including material on random matrices, rough analysis, Markov processes, and subordinators. The featured contributors are J. Bacckhoff, Q. Berger, L. Betencourt, E. Bodiot, A. Bonami, A. Cox, S. Dallaporta, M. Defosseux, F. Delarue, N. Demni, M. F矇vrier, A. Grass, B. Hass, M. Huesmann, L. I. Hernandez Ru穩z, E. Kahn, L. Miclo, W. Salkeld, and M. Zani.
Analysis, Approximation, Optimization: Computation and Applications
This contributed volume is dedicated to Academician Gradimir V. Milovanovic on his 75th birthday and contains recent results in the fields of approximation theory, numerical analysis, mathematical analysis, optimization theory, and various applications of an interdisciplinary character. Most of these results were presented in person during an International Conference "Analysis, Approximations and Applications" (AAA2023), organized by the Faculty of Science, University of Kragujevac in Vrnjačka Banja, Serbia (June 21-24, 2023). This book is intended for researchers and students of mathematics and other computational and applied sciences. This book provides surveys of state of the art results in the fields of Extremal Problems, Optimization and Calculus of Variations; Orthogonal Systems and Quadrature Formulas; Differential and Integral Equations, Integral Transforms and Operation Calculus; Analytic Number Theory and Special Functions; Real and Complex Functions, Sequences, Series, Approximations and Expansions; Functional Analysis, Operator Theory, Fixed Point Theory and Iterative Processes, as well as in Miscellaneous Applications.
Markov Chains: Theory and Applications
Markov Chains: Theory and Applications, Volume 52 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Markov Chain Estimation, Approximation, and Aggregation for Average Reward Markov Decision Processes and Reinforcement Learning, Ladder processes: symmetric functions and semigroups, Continuous-time Markov Chains and Models: Study via Forward Kolmogorov System, Analysis of Data Following Finite-State Continuous-Time Markov Chains, Computational applications of poverty measurement through Markov model for income classes, and more. Other sections cover Estimation and calibration of continuous time Markov chains, Additive High-Order Markov Chains, The role of the random-product technique in the theory of Markov chains on a countable state space., On estimation problems based on type I Longla copulas, and Long time behavior of continuous time Markov chains.
Tables Of The Logarithms Of The Complete -function To Twelve Figures
"Tables Of The Logarithms Of The Complete -function To Twelve Figures" by Adrien Marie Legendre is a meticulously crafted mathematical reference work. This book provides extensive logarithmic tables of the complete gamma function, calculated to twelve significant figures. It serves as an invaluable resource for mathematicians, physicists, engineers, and researchers who require precise values for advanced calculations.Legendre's tables offer a detailed compendium for a function crucial in various fields, including complex analysis, statistics, and number theory. This edition preserves the original precision and accuracy, making it an essential addition to any serious mathematical library. Its enduring value lies in its utility for both historical research and contemporary applications.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Tables Of The Logarithms Of The Complete -function To Twelve Figures
"Tables Of The Logarithms Of The Complete -function To Twelve Figures" by Adrien Marie Legendre is a meticulously crafted mathematical reference work. This book provides extensive logarithmic tables of the complete gamma function, calculated to twelve significant figures. It serves as an invaluable resource for mathematicians, physicists, engineers, and researchers who require precise values for advanced calculations.Legendre's tables offer a detailed compendium for a function crucial in various fields, including complex analysis, statistics, and number theory. This edition preserves the original precision and accuracy, making it an essential addition to any serious mathematical library. Its enduring value lies in its utility for both historical research and contemporary applications.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Chart to Facilitate the Calculation of Partial Coefficients of Correlation and Regression Equations
"Chart to Facilitate the Calculation of Partial Coefficients of Correlation and Regression Equations" by Truman Lee Kelley, originally published in 1921, offers a method for simplifying complex statistical calculations. This work provides a visual aid designed to assist researchers and statisticians in determining partial coefficients of correlation and developing regression equations more efficiently. The chart serves as a tool to navigate the intricate processes involved in statistical analysis, making it an invaluable resource for those engaged in quantitative research. Though first published nearly a century ago, the underlying mathematical principles remain relevant, offering both a historical perspective on statistical techniques and a potentially useful resource for modern researchers and students.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Advances in Mathematical Modelling, Applied Analysis and Computation
Calculus
This comprehensive volume explores differentiation and integration, detailing their theories, concepts, and formulations. The book introduces various techniques for computing these mathematical elements for different types of functions and presents their applications.Python code is extensively used throughout the book, allowing readers to practice and interact with the concepts in real-time. This hands-on approach helps in comprehending the theory, techniques, and results of computational operations in differentiation and integration. Real-world engineering problems are connected to the theoretical discussions through numerous examples.Written in Jupyter notebook format, the useful reference text offers a unified environment for theory description, code execution, and real-time interaction, making it ideal for reading, practicing, and further exploration.
Fractional Calculus - From Theory to Applications
Over the last decade, research activity in the field of fractional calculus has surged, resulting in applications across a wide range of scientific disciplines. From the physics of diffusion and transport phenomena to control theory and financial systems, fractional calculus has proven valuable in numerous domains, capturing the interest of the scientific community. Therefore, this book comprises six chapters, each with the purpose of providing a brief overview of the subject of fractional calculus and its recent developments in theory and applications. This book aims to serve as an updated and handy reference for university professors, graduate students, laboratory researchers, as well as physicists and applied mathematicians who are interested in studying fractional calculus and its applications.
Fractional S(p)Des
Recent breakthroughs in volatility modelling have brought fractional stochastic calculus to a groundbreaking position. Readers of Fractional S(P)DEs will find a unique and comprehensive overview encompassing the theory and the numerics of both ordinary and partial differential equations (SDEs and SPDEs, respectively), driven by fractional Brownian motion.Within this book, both differential equations are considered with fractional noise, while also considering fractional derivatives in the case of SPDEs. Three primary aspects are pursued: Theory and numerics for rough SPDEs; Optimal control of both SDEs and SPDEs driven by fractional Brownian motions (and their applications); And numerics for time-fractional SPDEs driven by both Gaussian and non-Gaussian noises.This series of complementary articles, compiled by two internationally renowned scientists, is united by a common application-oriented view of fractional Brownian motion and its stochastic calculus. As such, this book will be particularly useful for mathematicians working in the fields of stochastics applied in Finance and Natural Sciences, as well as those preparing courses on advanced stochastic processes.
Elementary Mathematical Analysis
"Elementary Mathematical Analysis" is a comprehensive textbook intended for students seeking a rigorous introduction to mathematical analysis. Authored by John Wesley Young and Frank Millett Morgan, this volume, originally published in 1918, presents a detailed exploration of fundamental concepts in calculus and analysis. The book covers a range of topics including functions, limits, continuity, differentiation, integration, and series. With a focus on clarity and precision, the authors provide numerous examples and exercises to reinforce understanding and develop problem-solving skills. This classic text remains valuable for its thorough treatment of essential mathematical principles and its contribution to the historical development of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elementary Mathematical Analysis
"Elementary Mathematical Analysis" is a comprehensive textbook intended for students seeking a rigorous introduction to mathematical analysis. Authored by John Wesley Young and Frank Millett Morgan, this volume, originally published in 1918, presents a detailed exploration of fundamental concepts in calculus and analysis. The book covers a range of topics including functions, limits, continuity, differentiation, integration, and series. With a focus on clarity and precision, the authors provide numerous examples and exercises to reinforce understanding and develop problem-solving skills. This classic text remains valuable for its thorough treatment of essential mathematical principles and its contribution to the historical development of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Machine-shop Mathematics
"Machine-Shop Mathematics" is a comprehensive guide to the practical mathematical principles essential for machinists and engineers. Authored by George Albert Wentworth, this book focuses on applying mathematical concepts to real-world problems encountered in machine shops. It covers arithmetic, algebra, geometry, and trigonometry, all tailored to the specific needs of those working with machines and tools.The book provides clear explanations and numerous examples, making it accessible to both students and professionals. It emphasizes problem-solving skills, enabling readers to perform calculations related to gear ratios, speeds, feeds, tolerances, and other critical aspects of machining operations. This book remains a valuable resource for anyone seeking to enhance their mathematical proficiency in the context of machine shop practices.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Machine-shop Mathematics
"Machine-Shop Mathematics" is a comprehensive guide to the practical mathematical principles essential for machinists and engineers. Authored by George Albert Wentworth, this book focuses on applying mathematical concepts to real-world problems encountered in machine shops. It covers arithmetic, algebra, geometry, and trigonometry, all tailored to the specific needs of those working with machines and tools.The book provides clear explanations and numerous examples, making it accessible to both students and professionals. It emphasizes problem-solving skills, enabling readers to perform calculations related to gear ratios, speeds, feeds, tolerances, and other critical aspects of machining operations. This book remains a valuable resource for anyone seeking to enhance their mathematical proficiency in the context of machine shop practices.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Four Place Tables of Logarithms and Trigonometric Functions, With Auxiliary Tables (chiefly to Three Figures) of Squares, Square Roots, Cubes, Cube Roots, Reciprocals, Circumferences and Areas of Circ
"Four Place Tables of Logarithms and Trigonometric Functions" is a comprehensive resource designed for students, engineers, and professionals requiring quick and accurate mathematical reference. This meticulously compiled volume includes four-place tables of logarithms and trigonometric functions, essential for a variety of calculations. Additionally, the book features auxiliary tables extending to three figures, covering squares, square roots, cubes, cube roots, reciprocals, circumferences and areas of circles, exponentials, natural logarithms, radians, and conversion factors.This book provides a valuable tool for simplifying complex computations, making it an indispensable addition to any technical library. Its clear layout and precise data ensure ease of use and reliability.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Mathematical Modeling in Bioscience
Mathematical Modeling in Bioscience: Theory and Applications provides readers with tools and techniques for mathematical modeling in bioscience through a wide range of novel and intriguing topics. The book concentrates on larger elements of mathematical modeling in bioscience, including topics such as modeling of the Topp--Leone new power generalized Weibull-G distribution family, vector-borne disease modeling, transmission modeling of SARS-COV-2 among other infectious diseases, pattern formulation models, compartmental models for HIV/AIDS transmission, population models, irrigation scheduling models, and predator--prey models. The readers will discover a variety of new methods, approaches, and techniques, as well as a wide range of applications demonstrating key concepts in bioscience modeling. This book provides a leading-edge resource for researchers in a variety of scientific fields who are interested in mathematical modeling, including mathematics, statistics, biology, biomedical engineering, computer science, and applied sciences.
Finite Difference Methods for Compressible Two-Fluid Dynamics
A Manual of Logarithmic Computation
A Manual of Logarithmic Computation offers a comprehensive guide to the use of logarithms in mathematical calculations. Originally published in 1881, this manual provides detailed explanations and numerous examples to aid students and practitioners in mastering logarithmic techniques. Authored by Alfred George Compton, the book covers various aspects of logarithmic computation, making it an invaluable resource for those studying mathematics, engineering, and related fields. This edition retains the original text, ensuring that readers can benefit from the clarity and precision of Compton's instructions. The manual includes a wealth of practical examples, illustrating the application of logarithms to diverse computational problems. Whether you are a student seeking to enhance your mathematical skills or a professional in need of a reliable reference, A Manual of Logarithmic Computation is an essential addition to your library.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements of Mathematical Analysis
The Elements of Mathematical Analysis, abridged for students, provides a foundational understanding of mathematical principles. This 1798 edition by Nicolas Vilant includes detailed notes and explanations to aid comprehension. A key feature is the synopsis of Book V of Euclid, integrating classical geometry with modern analytical techniques. Designed as a teaching aid, this book offers insights into 18th-century mathematical education. The abridged format makes complex concepts accessible, while the notes offer deeper understanding for motivated students. Whether used for historical reference or as a guide to fundamental principles, this volume presents enduring value.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A One-Semester Course on Probability
This concise textbook covers the full scope of an introductory course in modern probability theory, from elementary combinatorial methods to the central limit theorem, while maintaining mathematical rigor. It includes key topics like the measure extension and the Radon-Nikodym theorems. Designed for a one-semester course, it is well-suited for theoretical mathematics, financial mathematics, insurance, or stochastic modeling students. With 375 exercises, it offers ample opportunities for study and review.
A Manual of Logarithmic Computation
A Manual of Logarithmic Computation offers a comprehensive guide to the use of logarithms in mathematical calculations. Originally published in 1881, this manual provides detailed explanations and numerous examples to aid students and practitioners in mastering logarithmic techniques. Authored by Alfred George Compton, the book covers various aspects of logarithmic computation, making it an invaluable resource for those studying mathematics, engineering, and related fields. This edition retains the original text, ensuring that readers can benefit from the clarity and precision of Compton's instructions. The manual includes a wealth of practical examples, illustrating the application of logarithms to diverse computational problems. Whether you are a student seeking to enhance your mathematical skills or a professional in need of a reliable reference, A Manual of Logarithmic Computation is an essential addition to your library.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
