Format: Hardback, 197 pages, height x width: 235x155 mm, 4 Illustrations, color; X, 197 p. 4 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 501
Pub. Date: 10-Aug-2025
ISBN-13: 9789819660377
This book contains proceedings of select chapters presented at the International Conference on Nonlinear Analysis & Computational Techniques (ICNACT-2024), held at VIT Bhopal University, Madhya Pradesh, India, from 8 to 10 August 2024. It discusses advances, emerging trends and theoretical developments in topics related to nonlinear analysis and computational techniques, including the introduction to new function spaces, such as a generalized Orlicz with Rao and Rens norm, the s-Young space and the controlled G-metric spaces. The book explains some relationships among different types of near linear spaces and introduces the strongly -summable functions.
Nonlinear systems frequently require convergence and fixed point theorems. In this sense, the concept of q-lacunary almost statistical convergence is exposed. The book proposes a common coupled fixed point theorems, a few fixed point theorems for compatible mappings of type P and some applications on dynamic programming. In differential equations, some works extend Ostrowski-type inequalities; solution of the fractal nonlinear KleinGordon equation, study of a hybrid differential equation and the problem of exponential stability of the nonlinear SaintVenant equation, finally provides a study of some properties for Cayley transform of operators. The book is useful to researchers in mathematics and applied sciences, engineers, graduate students, computational scientists, software developers and educators. They will benefit from this theory, which is essential for efficiently solving complex equations via the understanding, modeling and solving nonlinear problems and their theoretical and practical domains.
Generalized Orlicz sequence space with Rao and Rens norm.- Strongly
-Summable Functions defined by Orlicz Functions.- Q- lacunary strong almost
summability of weight .- New integral inequalities for weighted integrals
and some fractional derivations.- Fractal Nonlinear Klein-Gordon Equation.-
Survey on different near linear topological spaces.- Cayley Transform of
operators on the Hilbert space.- Solvability of Hybrid Differential Equation
in Holder Space.- Exponential Stability of nonlinear water equations in a
trapezoidal channel.- On Some Fixed Point Results of Banach Contraction Type
in Controlled G-Metric Spaces.- Some common coupled fixed point theorems of
integral type conditions for occasionally w-compatible mappings in S -metric
spaces.- Fixed point theorems that are applicable to compatible mappings of
type (P) in dynamic programming.- Impulsive fractal Sturm--Liouville
equations.
Format: Hardback, 636 pages, height x width: 235x155 mm, 221 Illustrations, color; 45 Illustrations, black and white; XIV, 636 p. 266 illus., 221 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 502
Pub. Date: 28-Aug-2025
ISBN-13: 9783031909580
This proceedings compiles the cutting-edge research and innovative solutions presented at the 4th International Conference on Computational Intelligence & Internet of Things (ICCIIoT 2023), held from December 4th to 6th, 2023, at the Faculty of Information & Communication Technology, University of Malta, Msida, Malta.
This volume explores the integration of computational intelligence with the Internet of Things (IoT) to tackle complex global challenges. The book highlights mathematical algorithms essential for enhancing smart technologies, such as machine learning, optimization, data mining, and artificial intelligence, focusing on their applications in areas like smart cities, healthcare, autonomous systems, and IoT security.
With a diverse range of contributions, this collection serves as an invaluable resource for researchers, practitioners, and students interested in the intersection of mathematics, computational intelligence, and IoT. The advancements discussed in this book offer vital insights into the future of intelligent systems and their potential to drive sustainable innovation and problem-solving in the digital age.
Preface.- Cloud Resource Utilization for the Applicability and Adoption
of Cloud Services in the IT Sector: A Case Study on Oman.- Pattern
Recognition Issues and Pre-Processing Data Issues for Web Information
Retrieval Algorithms: Review.- Intelligent Shopping Carts: IoT Innovation for
Supermarkets: A Review.- Support Vector Machine (SVM) Classification of
Tomato Quality for Economic Value Determination.- Security and Trust in the
Internet of Things: A Communication Perspective Review.- A Deep Study of
Video-Based Human Action Recognition with Transformers for Smart Home.- An
Analysis of Handwritten Devanagari Character Recognition using Deep Learning
Models for Robotic Process Automation.- Enhancing Remote Sensing Image
Classification with ResNet-SE: A Hybrid CNN Approach.- Machine Learning
Models for Accurate EEG-Based Eye State Detection.- Procedural Maze
Generation using Digital Content Creation Package in Unity.- Design and
Implementation of WOT based Smartgrid to Remotely Monitor and Control
Multiple Renewable Energy Sources: A Review.- A Survey of Intrusion Detection
Systems: Innovations and Future Directions.- The Future of Agritech:
Implementing Dynamic Neural Network for Early Detection of Plant Diseases.- A
Review on Machine Learning Methods for Efficiently Predicting and Classifying
Crop Disease Using Machine Learning.- Cyber bullying detection using Text
Classification of Tweets.- Simplified Min-Sum Approach for Beam Selection in
mmWave 2D-Beamspace Multi-User MIMO Systems.- Improving Business Efficiency
via the Implementation of Bespoke Systems.- Real-Time Intrusion Detection in
Big Data for Edge Devices.- Examining Loss Functions for Deep Learning Based
Depth Estimation Applications: An Analytical Review.- Interplay Between
Artificial Intelligence and Crime Scene Investigation in Light of Face
Recognition, Footprint and DNA Analysis.- Advancing Healthcare: Harnessing
Artificial Intelligence for Personalized Medicine Solutions.- Viby
Rejuvenation of Social Media: Addressing Contemporary Challenges.- Forest
cover type prediction from cartographic variables using Gradient Boosting
Machine.- A Hybrid Recommendation System Based on Content-based and
Collaborative Filtering.- Exploring the effectiveness of BiGRU, Attn-Conv and
Conv-BiGRU for detection of fake news.- Automatic Identification of White
Blood Cells using Convolution Neural Network Technique.- A Mathematical
Procedure for Monitoring and Identification of Fluid Flow Parameters by an
On/Off Bistable Smart Valve.- Hide Secret Messages in Images using Python in
the Cloud Environment.- Facebook Pages Impersonating News Outlets: A Study of
Indian Journalists' Perspectives and Impact.- A Deep Review on the Augmented
Reality.- Comparative Analysis for Sign Language Recognition using CNN On
Various Hyperparameters.- A Review of Robotic-assistance in Healthcare.- An
Effective Mechanism for House Price Prediction Using Machine Learning.- A
Comprehensive Bibliometric Analysis of Volatility Forecasting: Trends,
Influential Works, and Future Directions.- Media Access Control
Retransmission Reduction with Caching Memory Mapping.- Prediction of Credit
Card Risk Using Linear Discriminant Analysis and Gaussian Naive Bayes
(LDA-GNB).- Diagnosis of Breast Cancer Using a Novel Particle Swarm
Optimization Feature Selection and Random Forest Techniques.- Bioinformatics
Tools in Fortified Milk Development: A Comprehensive Review.- A Survey of
Deep Learning Techniques in Image Captioning with Natural Language
Processing.- AI Based Improved Classification Algorithms for Diabetes
Mellitus prediction using Principle Component Analysis.- A Comparative Study
of Twitter Bot Detection with Reduced Feature Set.- Continuous Integration
and Continuous Delivery Pipeline through Jenkins.- A VANET-based proposed
model for Intelligent Transportation System.- Comparative Performance
Evaluation of Consensus Protocols in Blockchain Systems.- Enhancing Ovarian
Cyst Segmentation: A Comparative Analysis of Multiplicative Noise Removal
Approaches in Ultrasound Image.- Implementation of Iris Recognition System
based on Wavelet transformation.- Network Slicing and NOMA Integration for
Improved Wireless Communication Performance.- Virtual Reality based Hotel
Marketing Management by Using IOT and RFID Technology.- Automated Knee
Osteoarthritis Classification using Deep Learning Approach.- An Efficient and
secure approach to door unlocking using Facial Recognition.- Bio-sensor based
on 2D nanomaterials for efficient detection analysis in the near-infrared
region.- ChatGPT and its impact on Human-Computer Interaction: A
Comprehension.- Rice Leaf Disease Detection Using Convolutional Neural
Network.- Index.
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Format: Hardback, 422 pages, height x width: 235x155 mm, 7 Illustrations, black and white; XII, 422 p. 7 illus. With online files/update., 1 Hardback
Series: Undergraduate Texts in Mathematics
Pub. Date: 30-Aug-2025
ISBN-13: 9781071646373
This book, which assumes only a precalculus background, aids students in their transition to higher-level mathematics. The authors begin by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and end with suggested projects for independent study. The reader will follow Polya's four step approach to problem solving: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. Special emphasis is placed on reading proofs carefully and writing them well. The authors have included a wide variety of exercises with solutions, examples, illustrations, and problems, making the book ideal for independent study.
The third edition provides the reader with significant changes, all of which have been artfully designed to enhance the learning and teaching experience. The topic of mathematical induction has been modified and moved to an earlier part of the text. Two technical chapters and many proofs have been revised, and a chapter on visualizing complex functions has been added. There are many new problems, an additional spotlight on professional ethics, new projects and some revisions of others. Short videos about each chapter and some solutions are freely available as electronic supplementary material. An instructor solutions manual for all odd-numbered problems is available on Springer Natures extra materials archive.
While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between courses in calculus and those in analysis.
It is the impression of the author of this review that the book can be particularly strongly recommended for teacher students to enable them to catch and transfer the "essence" of mathematical thinking to their pupils. But also everybody else interested in mathematics will enjoy this very well written book. Burkhard Alpers Zentralblatt
The bookemphasizes Polyas four-part framework for problem solving[ it] contains more than enough material for a one-semester course, and is designed to give the instructor wide leeway in choosing topics to emphasizeThis book has a rich selection of problems for the student to ponderI was charmed by this book and found it quite enticing. Marcia G. Fung MAA Reviews
Preface.-1 The How, When, and Why of Mathematics.- 2 Logically
Speaking.- 3 Introducing the Contrapositive and Converse.- 4 Set Notation and
Quantifiers.- 5 Proof Techniques.- 6 Sets.- 7 Operations on Sets.- 8 More on
Operations on Sets.- 9 The Power Set and the Cartesian Product.- 10
Relations.- 11 Partitions.- 12 Order in the Reals.- 13 Consequences of the
Completeness of (\Bbb R).- 14 Functions, Domain, and Range.- 15 Functions,
One-to-One, and Onto.- 16 Inverses.- 17 Images and Inverse Images.- 18
Mathematical Induction.- 19 Sequences.- 20 Convergence of Sequences of Real
Numbers.- 21 Equivalent Sets.- 22 Finite Sets and an Infinite Set.- 23
Countable and Uncountable Sets.- 24 The Cantor-Schroder-Bernstein Theorem.-
25 Metric Spaces.- 26 Getting to Know Open and Closed Sets.- 27 Modular
Arithmetic.- 28 Fermats Little Theorem.- 29 Projects.- Appendix.-
References.- Index.
Format: Hardback, 509 pages, height x width: 235x155 mm, 16 Illustrations, color; 3 Illustrations, black and white; X, 509 p. 19 illus., 16 illus. in color., 1 Hardback
Series: Probability Theory and Stochastic Modelling 63
Pub. Date: 15-Sep-2025
ISBN-13: 9783031933028
This thoroughly revised and expanded edition presents a comprehensive study of hybrid switching diffusion processes and their wide-ranging applications. These processes, which combine continuous dynamics with discrete events, are essential for modeling complex systems influenced by random environments. They have broad applications in such fields as wireless communications, signal processing, queueing networks, production planning, ecosystems, financial engineering, and large-scale system optimization.
Since the publication of the first edition, the study of hybrid switching diffusions has made significant strides, with new theoretical breakthroughs and emerging applications in ecology and population biology. This edition incorporates these advancements, refining and expanding several key chapters. Notably, it introduces
a new chapter on switching processes with past dependence, extending the theoretical framework to account for historical states in the switching process.
a new chapter on mathematical biology applications, demonstrating the relevance of hybrid switching diffusions in biological modeling.
In addition to covering fundamental topics such as existence and uniqueness of solutions, recurrence, ergodicity, invariant measures, and stability, this edition further explores numerical methods and two-time-scale models.
This book is an essential resource for applied mathematicians, probabilists, systems engineers, control scientists, operations researchers, and financial analysts. It is also well-suited for graduate courses on stochastic processes and hybrid systems.
The new edition offers researchers and practitioners a robust and versatile framework, driving significant advancements and broadening the application of stochastic analysis to real-world challenges.
Chapter 1 Introduction and Motivation.
Chapter 2 Switching Diffusion.-
Chapter 3 Recurrence.
Chapter 4 Ergodicity.
Chapter 5 Numerical
Approximation.
Chapter 6 Stability.
Chapter 7 Stability of Switching ODEs.-
Chapter 8 Invariance Principles.
Chapter 9 Two-Time-Scale Switching
Diffusions.
Chapter 10 Switching Jump Diffusions: Time-Scale Separations.-
Chapter 11 Past-Dependent Switching Diffusion.
Chapter 12 Population
Dynamics Modeled by Switching Diffusion.- Appendix.- References.- Index
Format: Hardback, 184 pages, height x width: 235x155 mm, 55 Illustrations, color; 3 Illustrations, black and white; XII, 184 p. 58 illus., 55 illus. in color., 1 Hardback
Pub. Date: 09-Aug-2025
ISBN-13: 9789819662272
This book presents a comprehensive investigation into the exponential and Mittag-Leffler Euler differences for semi-linear fractional-order differential equations, a subject falling within the purview of computational mathematics. The field of exponential and Mittag-Leffler Euler differences has witnessed a period of rapid development in recent times. This has led to the emergence of new techniques such as exponential Euler integrator, exponential Runge-Kutta methods, multistep exponential integrator, exponential Rosenbrock-type methods, and more. This book puts forth several difference approaches to fractional-order differential equations and offers insights into their practical applications in the study of neural networks. Adopting a holistic approach, the book presents a foundational framework for this topic, underscoring the significance of exponential and Mittag-Leffler Euler differences in the numerical theory of fractional-order differential equations.
The book is designed for graduate students with an interest in numerical solutions of fractional-order differential equations, as well as for researchers engaged in the qualitative theory of difference equations.
Preface.- Symbols and Acronyms.- Introduction.- The Theory of Delta
MLEDs.- A Fuzzy MLED-CGNNs with Time Lags.- The Theory of Nabla MLEDs.- The
Theory of CF-EEDs.- A Fuzzy EED-CF-BAMNNs with Time Lags.- Summaries and
Perspectives.- References.- Index.
June 2025
Pages: 500
ISBN: 978-981-98-1162-5 (hardcover)
Tensor for Pedestrians is an accessible aid for physics and engineering undergraduates who seek a deeper understanding of tensors at an intuitive level. The book is intended as a self-study introduction to differential geometry, curvature, and Cartan moving frames. The subjects treated are planned to transit the student from the standard vector calculus taught in introductory courses towards modern differential geometry with its various applications. Presentation of the material is leisurely paced ? as befits pedestrian learners. Chapters are self contained and equations in the text are fully explained without obscure and annoying gaps. The book is richly supplemented by many examples and detailed problems and solutions at the end of each chapter. All in all, the book will enable a beginner or an intermediate learner to explore and appreciate the beauty of the fundamental concepts presented.
Prelude to Tensors
The 1-Form Space
Curvilinear Coordinates
General Tensors
Tensor Variants
Parallel Transport
Tensor Derivatives
Differential Forms
Derivatives of Forms
Integrating Forms
Gaussian Curvature
Riemannian Curvature
Cartan's Curvature
Undergraduates of mathematics and engineering disciplines. Also physics undergraduates, especially those interested in particle physics and quantum fields,
continuum physics, astrophysics and other disciplines of physics requiring differential geometry.
May 2025
Pages: 184
ISBN: 978-981-98-0630-0 (hardcover)
ISBN: 978-981-98-0750-5 (softcover)
This book tells the stories of some of the great quests of mathematics, such as the centuries-long pursuit for the proof of Fermat's Last Theorem. These quests are searches for difficult-to-discover universal truths, pursued with passion not only by mathematicians and scientists, but by kings, emperors and even Jean-Luc Picard, the captain of Star Trek's Starship Enterprise. Some of their exploits are adventures as fascinating as any historical or current-day drama. The truths they have discovered help us understand not only mathematics, but also the Universe ? and sometimes, ourselves.
In addition to well-known quests such as Fermat's Last Theorem and the Goldbach Conjecture, some of the chapters describe more recent pursuits such as the Traveling Salesman Problem and the Multi-armed Bandit Problem. While some of the quests have been completed, others are still ongoing, and one (the Six Squares Problem) can be understood ? and maybe even solved ? by a five-year-old child.
About the Author
Introduction
About the Cover
The Quests of Antiquity:
The Great Geometric Puzzles of Ancient Greece
Quests of the Middle Ages and the Renaissance:
The Roots of Polynomials
The Goldbach Conjecture
Fermat's Last Theorem
Recent ? and Relatively Recent ? Quests:
The Incompleteness Theorem and the Continuum Hypothesis
The Bridges of Konigsberg and the Four-Color Theorem
The Quests of the Twentieth Century
The Quests of the Twenty-First Century
The Traveling Salesman Problem
Love Affairs:
The Banach Contraction Principle
The Multi-Armed Bandit Problem
CHaikus
Index
This book is targeted toward general readers interested in mathematics or the history of mathematics.
Most of the book can be appreciated by people who have at most the equivalent of highschool-level courses in algebra and geometry.
This book is an especially attractive resource for mathematics teachers at the elementary and secondary levels.