Edited by Young-Jun Choi, Edited by Toshiyuki Sugawa, Edited by Armen G. Sergeev, Edited by Jong-Do Park, Edited by Kang-Tae Kim,
Edited by Aeryeong Seo, Edited by Jisoo Byun, Edited by Sung Yeon Kim, Edited by Kang-Hyurk Lee

Complex Geometric Analysis:
In Honor of Kang-Tae Kims 65th Birthday, Pohang, Korea, 2022

Format: Hardback, 168 pages, height x width: 235x155 mm, 2 Illustrations, color; VIII, 168 p. 2 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 481
Pub. Date: 22-Apr-2025
ISBN-13: 9789819604463

Description

This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022. SCV, a central research area in mathematics, focuses on holomorphic functions of several variables, the geometry of analytic spaces, and its intersection with fields such as differential geometry, algebraic geometry, functional analysis, and operator theory.

The first conference, The Conference on Complex Geometric Analysis, took place in January 2022 to celebrate the 65th birthday of Professor Kang-Tae Kim, a leading figure in SCV. The second, held in July 2022, was The POSTECH Conference 2022 on Complex Analytic Geometry, a joint event that included The 14th Korean Symposium of Several Complex Variables and The 28th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications. Both conferences attracted over 50 prominent researchers who gave lectures on the latest developments in the field. This volume serves as a testament to their contributions and the ongoing advancements in SCV research.

Table of Contents

Ahn, Taeyong, Equidistribution of inverse images of positive closed currents.- Chan, Mario, Residue functions and extension problems.- Chen, Bo-Yong, Order of hyperconvexity and estimates of Bergman functions.- Cho, Yewon, A survey on pluripotential methods in complex analyticity theorems.- Choi, Young-Jun & Schumacher, Georg, Curvature of direct images in Complex Geometry.- Hwang, Jun-Muk, 1-flat cone structures arising from minimal rational curves.- Joo, Jae-Cheon, CR and almost CR manifolds with noncompact automorphism orbit.- Kim, Sung-Yeon & Seo, Aeryeong, On holomorphicity of totally geodesic isometry between bounded symmetric domains.- Lee, Seungjae, Weighted L2 Bergman Space of Weakly 1-complete Ball-fibered bundles.- Matsumura, Shin-ichi, Note on GL-representation of the fundamental groups of Calabi-Yau varieties.- Matsuzaki, Katsuhiko, Various quasiconformal extensions with applications to Teichmueller spaces.- Nguyen, Ngoc Cuong, A remark on the stability of complex Monge-Ampere equation on compact Hermitian manifold.- Ganji, Masoud & Schmalz, Gerd & Sykes, Daniel, On a construction of Einstein space times.- Shiga, Hiroshige, Characterizations of quasicircles on Riemann surfaces.- Paltis, Ioannis D. & Sun, Lijie, A half plane geometry with unbounded negative curvature.- Yoo, Sungmin, Invariant weighted Bergman metrics on bounded domains.- Yum, Jihun, A survey on Bergman convergence on a tower of coverings.- Zhu, Kehe, Best kernel approximation in reproducing kernel Hilbert spaces.

Edited by Francisco Gaud?ncio Mendon?a Freires, Edited by Jo?o Carlos Gon?alves dos Reis, Edited by Milton Vieira Junior,
Edited by ?ngelo M?rcio Oliveira SantAnna, Edited by Rafael Garcia Barbastefano

Industrial Engineering and Operations Management:
XXX IJCIEOM, Salvador, Brazil, June 26-28, 2024

Format: Hardback, 562 pages, height x width: 235x155 mm, 120 Illustrations, color; 29 Illustrations, black and white; X, 562 p. 149 illus., 120 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 483
Pub. Date: 03-Apr-2025
ISBN-13: 9783031807848

Description

This proceedings gathers selected, peer-reviewed papers presented at the XXX International Joint Conference on Industrial Engineering and Operations Management (IJCIEOM), held from June 26 to 28, 2024, in Salvador, Brazil. The works in this volume explores critical areas such as Supply Chain risk models, last-mile delivery optimization, stochastic inventory models, and human development focusing on digital training for operations management in emergencies.

Tailored to benefit academics, the volume comprises studies predominantly rooted in real-world case studies, systematic, and meta-reviews, offering valuable insights also for professionals within the industrial sector by presenting solutions to intricate industrial challenges.

Table of Contents

1 Greening the European Defense Industry.- 2 Use of Artificial Neural
Networks and Decision Tree for Defaulters Prediction.- 3 Proposal for an
Optimized Model to Analyze Customer Satisfaction.- 4 Mechatronic Framework
for Smart Beehives.- 5 Digital Fashion.- 6 Computer Vision as a Resource in
Smart Warehouses.- 7 Port Logistics Emissions Control Using Machine Learning
to Coordinate the Truck Flow.- 8 Evolution of Logistics Service Providers.- 9
Reinforcement Learning and Discrete Event Simulation Applied to Production
Scheduling.- 10 A Simulation Model to Determine Production Shifts for Pallet
Packaging.- 11 The Enhanced Factory for Extra-terrestrial Space Technology
Operations.- 12 Digital Twins in Asset Prognosis and Health Management.-
13 Benefits of ERP Information Systems in ESG Management Within
Organizations.- 14 An Assignment Model for High-Cognitive-Workload
Maintenance Activities in Industry 5.0.- 15 Forecast of Brazilian GDP Growth
Through Consumption of Diesel Oil and Electrical Energy.- 16 Impact of
Distribution Configurations on Supply Chain Performance.- 17 Lean Healthcare
Management Through Kaizen in a Public Brazilian Hospital.- 18 Multicriteria
Decision Analysis for Natural Risk Management Context.- 19 Assessment of a
Project Management Maturity Diagnostic Tool.- 20 Utilizing GPT-4 in the
Selection of Health-tech Startups for a Brazilian Acceleration Program.-
21 Applicability Analysis of the Power BI with the OKR Methodology in the
Strategic Planning Enhancement.- 22 Optimization Model for the Design of
Cycling Networks.- 23 Impact of Transformational Leadership on Industry
Management in the Context of Digital Transformation.- 24 Integrating
Predictive Analysis into Manufacturing Operations.- 25 Lessons Learned about
Scope 3 Emissions from Companies Serving the Oil and Gas Industry.-
26 Corporate Sustainability and Big Data.- 27 Optimizing Maintenance and
Reducing Operating Costs by Analyzing Big Data and Applying Random Forest to
Machine Operating Data.- 28 Circular Supply Chain.- 29 An Application of a
Hybrid Structural-Interpretative Modeling for Plastic Waste Management
Performance.- 30 Wave of Change.- 31 Management Model for Metropolitan Train
Maintenance.- 32 Customer Satisfaction in Tourism Services Center.-
33 Industry 4.0 Maturity Assessment Model.- 34 Enhancing Efficiency in the
Oil and Gas Industry Through Digital Twins.- 35 Improving Outsourcing.-
36 Development of a Causal Loop Diagram to Understand the Complexity of a
Food Bank's Supply Chain Processes.- 37 Performance Monitoring Dashboard for
Photovoltaic Plant Maintenance Practices.


By (author): Feng-Yu Wang (Tianjin University, China) and Yong-Hua Mao (Beijing Normal University, China)

Foundation of Probability Theory

Pages: 208
ISBN: 978-981-12-9885-1 (hardcover)

Description

This textbook presents measure theory in a concise yet clear manner, providing readers with a solid foundation in the mathematical axiomatic system of probability theory. Unlike elementary probability theory, which deals with random events through specific examples of random trials, Foundations of Probability Theory offers a comprehensive mathematical framework for rigorous descriptions of these events.

As a result, this course embodies all the characteristics of mathematical theories: abstract content, extensive applications, complete structures, and clear conclusions. Due to the abstract nature of the material, learners may encounter various challenges. To overcome these difficulties, it is essential to keep concrete examples in mind when trying to understand abstract concepts and to compare the abstract theory with related courses previously studied, particularly the Lebesgue measure theory.

To enhance the readability of the book, each section begins with a brief introduction outlining the main objectives based on the preceding content, highlighting the primary structure, and explaining the key ideas of the study. This approach ensures that readers can follow the material more easily and grasp the essential concepts effectively.

Class of Sets and Measure
Random Variable and Measurable Function
Integral and Expectation
Product Measure Space
Conditional Expectation and Conditional Probability
Characteristic Function and Weak Convergence
Probability Distances
Calculus on the Space of Finite Measures

Readership:

Undergraduate students, graduate students, researchers and university teachers.

By (author): Guantie Deng (Beijing Normal University, China)

Complex Analysis

Pages: 348
ISBN: 978-981-12-9881-3 (hardcover)

Description

The book comprises six chapters, each meticulously structured to build a comprehensive understanding of complex analysis. Chapter 1 covers the most fundamental concepts, providing the essential groundwork that permeates the entire text. Chapter 2 delves into normal families, the Riemann mapping theorem, and conformal mapping. Chapter 3 focuses on the zeros of analytic functions, while Chapter 4 explores the essential properties of harmonic and subharmonic functions. Chapter 5 introduces H^p spaces and the Fourier transform, highlighting their interconnections. The final chapter discusses uniform approximation by rational functions.

Emphasizing foundational theories, modern methods, and key ideas in complex analysis, this book also presents some cutting-edge research problems and recent advancements. The topics are thoughtfully selected, and the exposition is clear and rigorous. This book is an excellent resource for graduate students and independent learners alike. It features many new and concise proofs of classical theorems, and offers numerous challenging exercises to deepen understanding.

Contents:

Basic Knowledge of Analytic Functionst
Normal Family and Conformal Mapping
Zeros of Holomorphic Functions
Harmonic and Subharmonic Functions
Hp Spaces
Uniform Aproximation by Polynomials

Readership:

The book is suitable for graduate students in pure mathematics for the course "Complex Analysis", and can be used as a reference book for graduate students in applied mathematics. It can also be used for independent study.

By (author): Leonid P Lebedev (Universidad Nacional de Colombia, Colombia)
and Michael J Cloud (Lawrence Technological University, USA)

Fundamentals of Multivariable Calculus

Pages: 316
ISBN: 978-981-98-0001-8 (hardcover)

Description

This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.

Engaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as engineering. Multiple integration is motivated intuitively through the calculation of mass. The chapter-end problems provide both drill and challenge.

Overall, the book should equip students with the knowledge and confidence needed for subsequent courses.

An appendix on hints renders the book suitable for self-study. Prerequisites are limited to single-variable calculus, linear algebra, and analytic geometry.

Contents:

Preface
About the Authors
Preliminaries
Differential Calculus
Double Integrals
Triple Integrals
Line Integrals
Surface Integrals
The Principal Theorems
Appendix A: Fields in Curvilinear Coordinates
Appendix B: Hints and Answers
Index

Readership:

Undergraduate students in mathematics, science, and engineering, as well as practicing engineers.

By (author): J Christopher Westland (University of Illinois Chicago, USA)

Bayesian A/B Decision Models

Pages: 280
ISBN: 978-981-98-0203-6 (hardcover)

Description

Bayesian A/B Decision Models encapsulates J Christopher Westland's deep expertise in algorithmic decision-making, honed through years of experience in specialized fields like auditing and serving as an expert witness in computing damages for corporate and industrial legal cases. While traditional statistical methods provide valuable insights, they often fall short of capturing the complexities of real-world scenarios that require sophisticated decision-making. Enter the Bayesian A/B decision model ? a powerful alternative that offers the flexibility and adaptability essential for navigating the intricate demands of consultancy and legal expert roles.

Westland has found the versatility of Bayesian A/B models to be particularly transformative, enabling him to respond effectively to diverse and dynamic requests for detailed analytical reports. This approach allows for the delivery of precise financial analyses and outcomes that are highly tailored and often beyond the reach of traditional methods. In the high-stakes arenas of legal and corporate deliberations, where the accuracy and adaptability of statistical analysis can be the tipping point, this advantage has proven invaluable.

In Bayesian A/B Decision Models, Westland extends the application of Bayesian A/B testing across a wide array of fields, including healthcare, marketing, and finance, as well as in more specialized sectors where traditional A/B testing and Frequentist approaches may be insufficient due to their limitations. The book features a comprehensive technical appendix with complete computer code for all examples discussed, offering readers practical tools that can be customized and implemented in their work.

Whether you're an experienced statistician, an emerging analyst, or a professional exploring the potential of Bayesian A/B testing, this book provides a thorough overview and detailed applications that highlight the unique benefits of this innovative statistical approach.

Contents:

What are A/B Decision Models?:
Claude Hopkins' Legacy
What is A/B Testing?
Frequentists and Bayesians Approach A/B Decision Models
Notable A/B Testing Successes
Bayesian A/B Testing
Moving Forward
Twelve Questions You Should Ask in Advance of A/B Testing:
Can You Replicate the Same Decision with New or Updated Data?
How will You Interpret the Results of Your A/B Analysis in Terms that are Relevant to Your Original Problem?
How Do You Choose the Right Power, Confidence, Effect Size and Significance Level for an A/B Test?
What Can You Do If Data Collection is Constrained by Budget, Data Availability or Other Restrictions?
How Much Information is Actually in Your Dataset?
Have You Found Evidence of Absence, or Just an Absence of Evidence?
How will You Handle Sequential Tests and Streaming Data Updates?
Am I "Peeking"?
Is All the Information Relevant to My Decision Captured in My Dataset?
How Should I Treat the Population Parameter for Each Variant?
Have You Changed the Streaming Data Allocations During the Testing Period?
Does Your A/B Modeling Strategy Reflect Your Organization's Strategy?
Understanding Prior Distributions:
What is a "Probability"?
Epistemic Probability
The Secret Lives of Information
Lies, Damned Lies, and Statistics
Formal Strategies for Choosing Priors
Practical Strategies for Choosing Priors
The World in Six Distributions
Weak and Strong Priors
Applications
Posterior Distributions:
Which Posterior Should I Use?
The Economic Value of a Decision
Commonly Used Loss Functions
Risk Management
Pooling Information
Case Study: The Movie Critics
Financial Application of Bayesian A/B Decision Models:
Application Areas for A/B Decisions in Finance
Advantages of Bayesian A/B Decision Models
Caveats and Pitfalls in Bayesian
Case Study: Cryptobros', Inc. Portfolio Choice
Case Study: Locust Lane Investments Explores National Economic Performance with a Decision Tree of A/B Tests
Marketing Applications of A/B Testing:
Application Areas for A/B Decisions in Marketing
Advantages of Bayesian A/B Decision Models
Caveats and Pitfalls in Bayesian Approaches
Case Study: Impact of User Interface Design on Luxehome Decor's Product Sales
Case Study: Google Analytics at Dashuju.Com
A/B Testing in Insurance, Warranties and Risk Management:
Application Areas for A/B Decisions in Insurance, Warranties and Risk Management
Advantages Offered by Bayesian A/B Decision Models
Caveats and Pitfalls in Bayesian Approaches
Case Study: The Cost of Pet Insurance
Case Study: The Sexy Son
Bayesian A/B Decision Models for Sentiment Analysis on Textual Databases:
Application Areas for A/B Decision Models in Natural Language Processing
Advantages Offered By Bayesian A/B Decision Models
Caveats and Pitfalls in Bayesian Approaches
Why Don't We Use Large Language AI Models for A/B Tests?
The Bag-of-Words Model
Case Study: A/B Testing in Product Design at Madcap Macaroons
Legal Applications of A/B Decision Models:
Bayesian A/B As an Alternative Model for Event Studies
Applications of A/B Testing in Law
Caveats
Case Study: Vinluxe Innovations Sues an Intellectual Property Thief
Decisions with More Than Two Choices:
Bayesian Bandits
Case Study: Bandits at Research Arms (A/B/C Decision Models)
Secure Databases Using a Real-Time Dashboard
Final Thoughts
Technical Appendix:
R Code for Chapter 1
R Code for Chapter 2
R Code for Chapter 3
R Code for Chapter 4
R Code for Chapter 5
R Code for Chapter 6
R Code for Chapter 7
R Code for Chapter 8
R Code for Chapter 9
R Code for Chapter 10
R Code for Chapter 11
References

Readership:

Finance professionals seeking to optimize strategies through data-driven insights; marketing experts enhancing strategies and customer engagement with A/B testing; insurance and risk management professionals improving decision-making and risk mitigation; legal experts applying data-driven methods for damage calculation and risk assessment; and production managers boosting efficiency through A/B testing. Academics and research institutions explore A/B testing applications and its impact across industries. Technology and data science enthusiasts leverage NLP and AI to enhance digital marketing, customer relationship management, and data analysis techniques.

By (author): Eiji Ogasa (Meiji Gakuin University, Japan)

Four-Dimensional Paper Constructions After Mobius, Klein and Boy

Pages: 220
Book Series: Series on Knots and Everything
ISBN: 978-981-98-0179-4 (hardcover)

Description

Explore four-dimensional paper constructions inspired by the work of great mathematicians like Mobius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space and beyond, transporting you to higher-dimensional spaces. This book is designed to solidify your foundations in various areas of mathematics and physics, with a particular focus on topology.

If you are familiar with higher-dimensional spaces from loving sci-fi stories, you may find the four-dimensional illustrations in this book especially intuitive. Imagine starting on Earth and traveling straight up into the universe ? where would you end up? Perhaps you would travel in one direction only to eventually return to your starting point. Can you imagine what happens during the course of this trip? By engaging with these four-dimensional paper constructions, you will gain a deeper understanding of this fascinating journey.

Contents:

Acknowledgements
Introduction
Prologue
Seeing Four-Dimensional Space
Mobius Band
The Torus
The Hopf Link
The Klein Bottle
Mobius Band + Mobius band = Klein Bottle
Boy Surface
Manifolds
Movies
Further Reading
Epilogue

Readership:

Freshmen and sophomores of science, high level high school students who like four dimensions, and people with similar mathematical background. General public who are interested in the four dimensions that appear in sci-fi books and movies.