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Decision Sciences
This book constitutes the proceedings of the Second Decision Science Alliance International Summer Conference, DSA ISC 2024, held in Valencia, Spain, in June 2024. The 33 full papers and 38 short papers included in this book were carefully reviewed and selected from 101 submissions. At the core of DSA ISC'24 are in-depth discussions and analyses across a spectrum of technological domains. Notably, experts shared their knowledge on areas such as Artificial Intelligence & Machine Learning, Mathematical Optimization, Operational Research & Management Science, Statistics, Simulation, and Decision Processes Analysis. Each of these areas represents a key aspect of decision science, contributing to the interdisciplinary nature of the conference.
Decision Sciences
This book constitutes the proceedings of the Second Decision Science Alliance International Summer Conference, DSA ISC 2024, held in Valencia, Spain, in June 2024. The 33 full papers and 38 short papers included in this book were carefully reviewed and selected from 101 submissions. At the core of DSA ISC'24 are in-depth discussions and analyses across a spectrum of technological domains. Notably, experts shared their knowledge on areas such as Artificial Intelligence & Machine Learning, Mathematical Optimization, Operational Research & Management Science, Statistics, Simulation, and Decision Processes Analysis. Each of these areas represents a key aspect of decision science, contributing to the interdisciplinary nature of the conference.
Useful Formulae
Equations are the magical invocations of millions of modern mathemagicians. Have you ever needed one fast? Circles. Triangles. Spaceships. Mechanics. Trigonometry. Statistics. Areas. Liquids. Gases. Fireworks. Calculus. Fields. Dimensions. Matrices. Constants. Circuits. Probabilities. Gears. More. Mathematician Matthew Watkins and illustrator Matt Tweed have compressed almost every familiar equation from mathematics and physics into one tiny book. A quick, fun, stylish reference book with appeal to anyone interested in the sciences.
Theoretical Foundations of Asset Pricing
This text provides an advanced introduction to the modeling of competitive financial markets, encompassing arbitrage and equilibrium pricing of financial contracts, as well as optimal lifetime consumption and portfolio choice. Notable features include its coverage of recursive utility in discrete and continuous time and several results not previously available in book form. Each chapter concludes with a set of exercises, with solutions available to verified instructors. Ideal as a graduate-level course text, this book can also serve as a valuable reference for researchers and finance industry practitioners. Readers with a finance focus can use the text to build analytical foundations for a significant component of the economics of financial markets, while readers with a mathematics focus will find a well-motivated introduction to basic tools of stochastic analysis and convex analysis.
Lectures on the H-Cobordism Theorem
Important lectures on differential topology by acclaimed mathematician John Milnor These are notes from lectures that John Milnor delivered as a seminar on differential topology in 1963 at Princeton University. These lectures give a new proof of the h-cobordism theorem that is different from the original proof presented by Stephen Smale. Milnor's goal was to provide a fully rigorous proof in terms of Morse functions. This book remains an important resource in the application of Morse theory.
Fractions for Dummies
An easy, straightforward, and fun guide for learning fractions and its counterparts Fractions For Dummies is the perfect strategy guide for both understanding and using one of math's most common (and most challenging) topic areas. You'll explore current solving strategies for fraction-related problems, and you'll also discover how to solve problems involving fractions' closely related cousins, decimals and percentages. Dive deep into the basics of these topics before moving on to more advanced uses, such as word problems, with the help of author and experienced math teacher Mark Zegarelli. This straightforward and intuitive book also includes: Techniques for working with mixed numbers (numbers that include whole amounts and fractions) and more Ways to add, subtract, multiply, and divide fractions with whole numbers and with each other Strategies for helping and supporting the young student in your life who's struggling with fractions, decimals, and/or percentages It's time you showed these math areas who's boss. Fractions For Dummies shows you just how easy fractions and the like can be!
Geocomputation with Python
Geocomputation with Python is a comprehensive resource for working with geographic data with the most popular programming language in the world. The book gives an overview of Python's capabilities for spatial data analysis, as well as dozens of worked-through examples covering the entire range of standard GIS operations. A unique selling point of the book is its cohesive and joined-up coverage of both vector and raster geographic data models and consistent learning curve. This book is an excellent starting point for those new to working with geographic data with Python, making it ideal for students and practitioners beginning their journey with Python.Key features: Showcases the integration of vector and raster datasets operations. Provides explanation of each line of code in the book to minimize surprises. Includes example datasets and meaningful operations to illustrate the applied nature of geographic research. Another unique feature is that this book is part of a wider community. Geocomputation with Python is a sister project of Geocomputation with R (Lovelace, Nowosad, and Muenchow 2019), a book on geographic data analysis, visualization, and modeling using the R programming language that has numerous contributors and an active community.The book teaches how to import, process, examine, transform, compute, and export spatial vector and raster datasets with Python, the most widely used language for data science and many other domains. Reading the book and running the reproducible code chunks within will make you a proficient user of key packages in the ecosystem, including shapely, geopandas, and rasterio. The book also demonstrates how to make use of dozens of additional packages for a wide range of tasks, from interactive map making to terrain modeling. Geocomputation with Python provides a firm foundation for more advanced topics, including spatial statistics, machine learning involving spatial data, and spatial network analysis, and a gateway into the vibrant and supportive community developing geographic tools in Python and beyond.
A Beginner's Guide to Mathematical Proof
A Beginner's Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, and introduces a wider readership of quantitative science students to the mathematical structures underlying more applied topics with an accessible, step-by-step approach requiring minimal mathematical prerequisites.
Innovation and Emerging Trends in Computing and Information Technologies
This book constitutes the proceedings of the First International Conference on Innovation and Emerging Trends in Computing and Information Technologies, IETCIT 2024, held in Mohali, India, in March 1-2, 2024. The 44 full papers presented in these two volumes were carefully reviewed and selected from 417 submissions. The papers are organized in the following topical sections: Part I: machine learning and deep learning; pattern and speech recognition; internet of things (IoT). Part II: data science and data analytics; communication, network and security.
Innovation and Emerging Trends in Computing and Information Technologies
This book constitutes the proceedings of the First International Conference on Innovation and Emerging Trends in Computing and Information Technologies, IETCIT 2024, held in Mohali, India, in March 1-2, 2024. The 44 full papers presented in these two volumes were carefully reviewed and selected from 417 submissions. The papers are organized in the following topical sections: Part I: machine learning and deep learning; pattern and speech recognition; internet of things (IoT). Part II: data science and data analytics; communication, network and security.
Spectral Theory of Nonautonomous Dynamical Systems and Applications
Sentiment Analysis of Covid-19 Tweets Using Machine Learning Algorithm
Geometric Gems (V2)
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
Handbook of Generalized Pairwise Comparisons
This book covers the statistical foundations of generalized pairwise comparisons (GPC), applications in various disease areas, and considerations for patient-centricity in clinical research. It stands as an essential resource for a more holistic and patient-centric assessment of treatment effects.
A Comprehensive Summary of the Benford's Law Phenomenon
Our digital language system writes numbers by the convenient utilisation of the ten digits 0 to 9 in much the same way as the English language system writes sentences and books by the convenient utilisation of the 26 letters A to Z. Against all common sense or intuition, the spread of these ten digits within numbers of random data is not uniform, but rather highly uneven. Benford's Law predicts that the first digit on the left-most side of numbers is proportioned between all possible digits 1 to 9 approximately according to LOG(1 + 1/digit), such that occurrences of low digits such as 1, 2, and 3 in the first position are much more frequent than occurrences of high digits such as 7, 8, and 9. Remarkably, Benford's Law is found to be valid in almost all real-life statistics, from data relating to physics, chemistry, and biology to data relating to economics, engineering, and governmental censuses. Benford's Law stands as the only common thread running through and uniting all scientific disciplines.This book represents an intense and concentrated effort by the author to narrate this digital, numerical, and quantitative story of the Benford's Law phenomenon as briefly and as concisely as possible, while still ensuring a comprehensive coverage of all its aspects, results, causes, explanations, and perspectives. The most recent research results and discoveries in this field are included within this book in such a way as to be comprehensible and engaging to readers of all proficiencies.
Geometric Gems (V2)
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
The Math Book
Math's infinite mysteries unfold in this updated edition of the award-winning The Math Book. Beginning millions of years ago with ancient "ant odometers," and moving through time to our modern-day quest for higher dimensions, prolific polymath Clifford Pickover covers major milestones in mathematical history. Among the numerous concepts readers will encounter as they dip into this inviting anthology: cicada-generated prime numbers, magic squares, and the butterfly effect. Each topic is presented in a lavishly illustrated spread, including formulas and real-world applications of the theorems. This reissue includes four new entries: 2013 (Bounded Gaps Between Primes), 2015 (Erdős Discrepancy Problem Solved), 2016 (Sphere Packing in Dimension 8), and 2023 (Einstein Tiles and Beyond). Each topic is presented in a lavishly illustrated spread, including formulas and real-world applications of the theorems.
Measure Theory and Fine Properties of Functions
This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.
Applied Statistics with Python
Applied Statistics with Python concentrates on applied and computational aspects of statistics, focussing on conceptual understanding and Python-based calculations. It compiles multiple aspects of applied statistics, teaching useful skills in statistics and computational science.
Analysis and Probability on Graphs
Analysis and Probability on graphs is an introduction to random graphs, Markov chains on digraphs, entropy of Markov Chains, and discrete Lyapunov exponents and Hausdorff dimension, requiring only minimal background in probability, mathematical analysis, and graphs. This textbook includes constructive discussions about the motivation of basic concepts, and many worked-out problems in each chapter, making it ideal for classroom use or self-study.
General Topology
This book is dedicated to metric spaces and their topology. The book starts with ZFC axioms. The real number system is constructed by both the Dedekind cut and the Cauchy sequence approach. The various examples and properties of metric spaces and normed linear spaces are discussed. The different distances between the sets are highlighted. The research work on metric-preserving maps and isometries on different p-norms has been discussed. Homeomorphism and different equivalent metrics have also been discussed. A detailed description of a metric on the product and the quotient set is also provided. The completion of a metric space as a universal property and applications of the Baire Category Theorem are covered. A special focus is on compactness and the relation between a compact metric space, the Hilbert Cube, and the Cantor set. The properties of connected and path-connected metric spaces are provided.
Set Theo & Found Math (V1-2nd Ed)
This book presents both axiomatic and descriptive set theory, targeting upper-level undergraduate and beginning graduate students. It aims to equip them for advanced studies in set theory, mathematical logic, and other mathematical fields, including analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered through the text.This new edition includes additional topics on trees, ordinal functions, and sets, along with numerous new exercises. The presentation has been improved, and several typographical errors have been corrected.
Finite Element Analysis of Structures Using MATLAB
"Finite Element Analysis of Structures using MATLAB" is an essential guide for students delving into the world of finite element analysis. This comprehensive resource offers clear explanations, relevant examples, and practical MATLAB code to enhance understanding and application. From the historical foundation of Finite Element Analysis to the exploration of thin and thick plates and structural dynamics. This comprehensive resource spans twelve chapters and two appendices. Appendix A provides MATLAB code for problem-solving, while Appendix B guides you through using ABAQUS. Begin with a historical introduction and explore the essentials of finite element analysis. Dive into nodes, elements, interpolation functions, and FEA formalization. Focus on one-dimensional and two-dimensional elements and learn numerical integration with Gaussian quadrature. Discover axisymmetric and three-dimensional elements, and apply FEA to analyze thin and thick plates. Explore structural dynamics and vibrations in the final chapter. Appendix A contains MATLAB code for seventeen numerical examples, and Appendix B offers a step-by-step ABAQUS procedure. 'Finite Element Analysis of Structures using MATLAB' is your ultimate resource for practical understanding. Whether it's coursework or deeper exploration, this book with clear explanations and relevant examples is your invaluable companion."
Best IDEAS
This Special Issue presents selected papers by leading international experts on various database engineered applications. The leading experts include Schahram Dustdar, who served as an invited speaker at several International Database Engineered Applications Symposia, and the authors of the two highest-ranked papers from the 27th International Database Engineered Applications Symposium from Heraklion, Crete, Greece. The authors of this Special Issue present their ideas in twelve full journal articles that were reviewed for both the quality and readability of their contents. Hence, this Special Issue is a valuable resource on topics ranging from federated databases, data analytics and data mining, and data prediction and imputation to various aspects of temporal databases and genome databases.
Nonlinear Waves & Hamiltonian Systems
Nonlinear waves are of significant scientific interest across many diverse contexts, ranging from mathematics and physics to engineering, biosciences, chemistry, and finance. The study of nonlinear waves is relevant to Bose-Einstein condensates, the interaction of electromagnetic waves with matter, optical fibers and waveguides, acoustics, water waves, atmospheric and planetary scales, and even galaxy formation. The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas, and mathematical, as well as computational methods, while also presenting an overview of associated physical applications. Originated from the authors' own research activity in the field for almost three decades and shaped over many years of teaching on relevant courses, the primary purpose of this book is to serve as a textbook. However, the selection and exposition of the material will be useful to anyone who is curious to explore the fascinating world of nonlinear waves.
Graceful Labeling of Few Types of Graphs and Their Applications
Real Analysis
Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis?The theory of Lebesgue integration is a crucial component in the development of modern analysis. This book is an in-depth real analysis textbook, which introduces the basic theory of modern analysis and the basic skills of analysis. Based on the knowledge of real analysis, the theory of interpolation of operators and the Fourier transform theory are further introduced systematically. The main contents include: abstract measures and integrals, measure and topology, Lebesgue integration on Rn, the interpolation of operators on Lp(Rn), Hardy-Littlewood maximal function, convolution and the Fourier transform. They play an important role in harmonic analysis, partial differential equations, probability and numerical analysis. This book is moderately difficult and detailed, focusing on the combination of abstract and concrete, and training readers to skillfully use modern analysis.This textbook is an excellent reference book for readers studying the fields of Harmonic analysis and partial differential equations. It is intended for advanced undergraduate and graduate students in university mathematics, as well as mathematicians and physicists in general.
Mathematical Models in Medical and Health Science
A unique assemblage of cutting-edge research on mathematical models in biology and medicine. This book is composed of refereed and carefully edited research articles derived from the Conference on Mathematical Models in Medical and Health Sciences, held at Vanderbilt University in conjunction with the thirteenth annual Shanks Lectures Series (May 1997).
