Mathematics

Linear Programming and AI Optimization Models (VOL-3) delivers practical mastery in scheduling, supply chain, logistics, hybrid AI-OR systems, large-scale cloud optimization, and emerging technologies. With Python implementations, industry case studies, and forward-looking research trends, this volume turns theory into powerful real-world solutions.

Take your optimization skills to the next level with AI.Linear Programming and AI Optimization Models (VOL-2) dives deep into the algorithms driving modern Machine Learning and Intelligent Systems. Master Gradient Descent, Adam, Reinforcement Learning, Genetic Algorithms, Particle Swarm Optimization, Constraint Satisfaction, and advanced Network Models.

Unlock the power of optimization in the age of AI."Linear Programming and AI Optimization Models" delivers a masterful blend of classical Operations Research and modern Machine Learning applications. From the elegant Simplex Method to advanced decomposition techniques and KKT conditions, this Volume-1 builds a rock-solid foundation while demonstrating how these powerful algorithms .

Textaufgaben lösen, ohne zu stocken. Dieses Buch zeigt Schülerinnen und Schülern der Klassen 6 bis 9 Schritt für Schritt, wie sie Texte in Gleichungen übersetzen, die richtigen Werkzeuge wählen und sicher zum Ergebnis kommen.

Master Discrete Mathematics — the foundation of Computer Science. Comprehensive guide specially designed for BCA & MCA students with detailed explanations, solved examples, real-world applications, and exam-focused practice. Perfect for university exams, GATE, and interviews.

The most successful calculus textbook in history — now in English for the first time.

The most successful algebra textbook in history — now in English for the first time.

Artificial Intelligence doesn't become intelligent by chance—it learns through optimization.Every neural network improves because of Gradient Descent.Every recommendation system depends on matrix factorization.Every deep learning model relies on numerical computation.Numerical Methods with Artificial Intelligence Applications – Volume 2 takes you beyond the fundamentals and into the advanced mathematical engines driving modern AI.Discover how optimization algorithms like Adam, RMSProp, Newton's Method, and Conjugate Gradient train intelligent systems. Explore numerical linear algebra, probabilistic AI, evolutionary computation, Python implementations, and real-world AI case studies that reveal the mathematics behind today's most powerful technologies.Whether you're building machine learning models, conducting AI research, or strengthening your computational skills, this volume equips you with the advanced numerical techniques essential for the next generation of intelligent systems.Master the algorithms that teach machines how to learn.

Artificial Intelligence is built on mathematics—and numerical methods are at its core.What happens behind gradient descent? How do optimization algorithms converge? Why are interpolation, differentiation, and integration essential for machine learning?Discover the mathematical engine that powers modern AI.Numerical Methods with Artificial Intelligence Applications (Volume 1) transforms traditional numerical methods into practical AI tools through real-world examples, optimization techniques, and machine learning applications.Whether you're a student, researcher, educator, or AI enthusiast, this book will help you understand the algorithms that make intelligent systems possible.

How epidemics travel as waves, from Fisher-KPP wave existence and minimum speed derived via phase-plane analysis, to disease spread and persistence.

Behind every secure network lies an unbreakable mathematical truth. 'The Guardian Algorithms' bridges the gap between pure math and cutting-edge cyber defense. Step into the mind of a digital architect to decode the formulas that outsmart hackers, lock down infrastructure, and rewrite the rules of modern warfare. The future of security isn't coded—it is calculated.

Unlock the secrets of artificial intelligence by mastering its core foundation. This practical guide teaches you how to design, code, and optimize neural networks from the ground up without relying on complex libraries. It is the ultimate resource for developers ready to truly understand the math and logic behind the code.

Language is data. Mathematics is the engine that makes machines understand it.Discover the mathematical foundations behind modern Natural Language Processing and Artificial Intelligence.Inside this book, you will learn:✔ Vector Space Models and Text Representation✔ Linear Algebra for Language Processing✔ Probability Theory and Statistical NLP✔ n-Gram Language Models and Smoothing Techniques✔ Word2Vec, GloVe, and FastText Embeddings✔ Matrix Factorization and Latent Semantic Analysis✔ Contextual Representations with ELMo and BERT✔ Hidden Markov Models and Probabilistic Grammars✔ Topic Modeling with Latent Dirichlet Allocation (LDA)✔ Optimization and Neural Language Models✔ Mathematical Foundations of GPT and Large Language Models✔ Ethical Challenges and Bias in NLP SystemsWhether you are a student beginning your NLP journey or a researcher exploring advanced language models, this book provides the mathematical intuition and practical understanding needed to succeed in the rapidly evolving field of Natural Language Processing.Move beyond coding. Understand the mathematics that powers intelligent language systems.

Are you preparing for SSC, CGL, Banking, UGC NET, Railways, Insurance, or other competitive examinations?Do you struggle with reasoning questions, logical puzzles, or aptitude-based problems under time pressure?Mastering Math & Reasoning for SSC, CGL, UGC & Banking Exams provides a complete roadmap to improve your problem-solving skills and examination performance.Inside this book, you will learn:✓ Analogy and Classification Techniques✓ Syllogism and Venn Diagram Methods✓ Coded Equations and Logical Patterns✓ Blood Relations and Direction Sense✓ Arithmetic Reasoning✓ Visual Reasoning and Paper Folding✓ Alphabet Tests and Series Analysis✓ Shortcut Techniques for Faster Problem Solving✓ Hundreds of Practice Questions with Solutions✓ Exam-Oriented Strategies for Accuracy and SpeedWritten in a simple and systematic style, this book helps candidates build confidence, strengthen logical thinking, and improve examination performance across multiple competitive examinations.Whether you are a beginner or an advanced aspirant, this guide provides the concepts, strategies, and practice needed to achieve success.