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Shalit Orr Moshe: The Analyst’s Gambit

The Analyst’s Gambit

A Second Course in Functional Analysis

Synthesis Lectures on Engineering, Science, and Technology

This book provides an introductory overview of generating functions (GFs) and their applications. The authors begin by providing background information on the origin of GFs. The book then introduces the most commonly encountered GFs in engineering and applied sciences, such as ordinary GFs, exponential GFs, and probability GFs. This third edition includes an expanded discussion of the applications of GFs in a variety of applied science and engineering fields. The authors have also added two new chapters that cover the applications in mathematics and computer science, including algebra, combinatorics, geometry, graph theory, number theory, trigonometry, algorithm analysis, signal processing, and machine learning.In addition, this book:<ul><li>Provides readers with an essential overview of generating functions and their applications</li><li>Introduces the concepts at an appropriate level for beginners in applied science and engineering fields</li><li>Demonstrates the various applications of generating functions using practical problems and examples</li></ul>About the AuthorsRajan Chattamvelli, Ph.D., is a Professor in the School of Computer Science and Engineering at Amrita University, Amaravati. &nbsp;He has published more than 20 research articles in international journals, and his research interests include computational statistics, design of algorithms, parallel computing, cryptography, data mining, machine learning, and big data analytics.
 Ramalingam Shanmugam, Ph.D., is an Honorary Professor in the School of Health Administration at Texas State University, San Marcos.&nbsp; He is the Editor-in-Chief of several journals including&nbsp;
 Advances in Life Sciences; Global Journal of Research and Review; Journal of Obesity and Metabolism; 
 and the&nbsp;
 International Journal of Research in Medical Sciences
 . He has published more than 200 research articles and 120 conference papers.&nbsp; His research interests include&nbsp;theoretical and computational statistics, number theory, operations research, biostatistics, decision making, infectious disease modeling, patient risk management, cost-effective analysis and epidemiology.

This book provides an introductory overview of generating functions (GFs) and their applications. The authors begin by providing background information on the origin of GFs. The book then introduces the most commonly encountered GFs in engineering and applied sciences, such as ordinary GFs, exponential GFs, and probability GFs. This third edition includes an expanded discussion of the applications of GFs in a variety of applied science and engineering fields. The authors have also added two new chapters that cover the applications in mathematics and computer science, including algebra, combinatorics, geometry, graph theory, number theory, trigonometry, algorithm analysis, signal processing, and machine learning.

Generating Functions in Engineering and the Applied Sciences

Annals of Mathematics Studies

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fieldsThis book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts. In the geometric setting, adelic line bundles are defined as limits of line bundles on projective compactifications under the boundary topology. In the arithmetic setting, they are defined as limits of Hermitian line bundles on projective arithmetic compactifications, also under the boundary topology. After establishing these foundational definitions, the book uses the theory to explore key concepts such as intersection theory, effective sections, volumes, and positivity of adelic line bundles. It also applies these results to study height functions of algebraic points and prove an equidistribution theorem on quasi-projective varieties. This theory has broad applications in the study of numerical, dynamical, and Diophantine properties of moduli spaces, quasi-projective varieties, and varieties over finitely generated fields.

Adelic Line Bundles on Quasi-projective Varieties

Chapman & Hall/CRC Cryptography and Network Security Series

Fourth Edition

Introduction to Modern Cryptography

The book comprises original articles on topical issues in risk theory, rational decision making, statistical decisions, and control of stochastic systems.

Modern Optimization Methods for Decision Making Under Risk and Uncertainty

Kyle D. Evans - maths gift books

***A Strong Words 2023 Book of the Year*** 'A highly enjoyable and serendipitous read!' - Rob Eastaway, bestselling co-author of Headscratchers: The New Scientist Puzzle Book Did you know: -Only around 100 people have ever lived beyond a million hours (that's about 114 years) -Around 7% of everyone who has ever lived is currently alive -The '12 days of Christmas' song, when sung in full, results in 364 gifts being given - one for every day... except Christmas Broken down into 12 chapters that correspond roughly to months of the year - from going 'back to school' with arithmetic and times tables through prime numbers and all the way to the 12 Days of Chris-maths, this book features a collection of 365 fascinating numerical 'nuggets', accompanied by clear, bite-size explanations of the mathematics that underpin them.

***A Strong Words 2023 Book of the Year*** 'A highly enjoyable and serendipitous read!' - Rob Eastaway, bestselling co-author of Headscratchers: The New Scientist Puzzle Book Did you know: -Only around 100 people have ever lived beyond a million hours (that's about 114 years) -Around 7% of everyone who has ever lived is currently alive -The '12 days of Christmas' song, when sung in full, results in 364 gifts being given - one for every day... except Christmas Broken down into 12 chapters that correspond roughly to months of the year - from going 'back to school' with arithmetic and times tables through prime numbers and all the way to the 12 Days of Chris-maths, this book features a collection of 365 fascinating numerical 'nuggets', accompanied by clear, bite-size explanations of the mathematics that underpin them.

365 Astonishing Maths Facts

A Year in Numbers

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

A Mathematical Tour

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

This second edition continues to present meaningful and practical solutions for teaching mathematics and statistics online, focusing on the problems observed by mathematics instructors currently working in the field. With its set of standard practices, instructors will benefit from learning many new techniques and approaches.

Teaching and Learning Mathematics Online

Frag doch mal ... die Maus

Mathe lernen? Frag doch mal die Maus, erfahre spielerisch mehr und lass dir beweisen, dass Zählen auch Zaubern sein kann.&nbsp;Was bedeuten Plus und Minus? Wie kann ich eine Zahl darstellen? Und wie kann ich Mathe mit einigen Tricks Magie entlocken? Zum Schulfach Mathe haben Kinder viele Fragen. Und die besten Antworten gibt es von der Maus. Große Schrift und bunte Bilder unterstützen beim Lesenlernen, während auf den Elternseiten zusammen Bastel-Tipps, Spiel-Ideen, Zaubertricks und Rezepte erkundet werden können. Perfekt zum Schulstart fördert dieses Buch nicht nur die Lesekompetenz, sondern vermittelt nebenbei wissenswerte Fakten rund um Zahlen, Formen und Rechnen!&nbsp;<ul><li>1. Lesestufe:Große Schrift, viele Bilder</li><li>Sachwissen mit der Maus unterhaltsam und interaktiv vermittelt</li><li>Spiele, Bastel-Ideen und Rezepte zum Mitmachen
</li></ul>Ein spannendes Sach- und Erstlesebuch für neugierige Leseanfänger*innen ab 6 Jahren und alle Fans von der Sendung mit der Maus!&nbsp;-----------------------------------------Mehr von der Maus:In "Frag doch mal ... die Maus: Wissen zum Schulstart: Deutsch" (978-3-551-69125-5) üben Kinder lesen und erfahren wissenswerte Fakten über Sprache.------------------------------------------

Mathe lernen? Frag doch mal die Maus, erfahre spielerisch mehr und lass dir beweisen, dass Zählen auch Zaubern sein kann.&nbsp;Was bedeuten Plus und Minus? Wie kann ich eine Zahl darstellen? Und wie kann ich Mathe mit einigen Tricks Magie entlocken? Zum Schulfach Mathe haben Kinder viele Fragen. Und die besten Antworten gibt es von der Maus. Große Schrift und bunte Bilder unterstützen beim Lesenlernen, während auf den Elternseiten zusammen Bastel-Tipps, Spiel-Ideen, Zaubertricks und Rezepte erkundet werden können. Perfekt zum Schulstart fördert dieses Buch nicht nur die Lesekompetenz, sondern vermittelt nebenbei wissenswerte Fakten rund um Zahlen, Formen und Rechnen!&nbsp;<ul><li>1. Lesestufe: Große Schrift, viele Bilder</li><li>Sachwissen mit der Maus unterhaltsam und interaktiv vermittelt</li><li>Spiele, Bastel-Ideen und Rezepte zum Mitmachen</li></ul>Ein spannendes Sach- und Erstlesebuch für neugierige Leseanfänger*innen ab 6 Jahren und alle Fans von der Sendung mit der Maus!&nbsp;-----------------------------------------Mehr von der Maus:In "Frag doch mal ... die Maus: Wissen zum Schulstart: Deutsch" (978-3-551-69125-5) üben Kinder lesen und erfahren wissenswerte Fakten über Sprache.------------------------------------------

Einfach Lesen Lernen

Frag doch mal ... die Maus: Wissen zum Schulstart: Mathe

Universitext

Diagrammatic Algebra provides the intuition and tools necessary to address some of the key questions in modern representation theory, chief among them Lusztig’s conjecture. This book offers a largely self-contained introduction to diagrammatic algebra, culminating in an explicit and entirely diagrammatic treatment of Geordie Williamson’s explosive torsion counterexamples in full detail. The book begins with an overview of group theory and representation theory: first encountering Coxeter groups through their actions on puzzles, necklaces, and Platonic solids; then building up to non-semisimple representations of Temperley–Lieb and zig-zag algebras; and finally constructing simple representations of binary Schur algebras using the language of coloured Pascal triangles. Next, Kazhdan–Lusztig polynomials are introduced, with their study motivated by their combinatorial properties. The discussion then turns to diagrammatic Hecke categories and their associated p-Kazhdan–Lusztig polynomials, explored in a hands-on manner with numerous examples. The book concludes by showing that the problem of determining the prime divisors of Fibonacci numbers is a special case of the problem of calculating p-Kazhdan–Lusztig polynomials—using only elementary diagrammatic calculations and some manipulation of (5x5)-matrices.&nbsp; Richly illustrated and assuming only undergraduate-level linear algebra, this is a particularly accessible introduction to cutting-edge topics in representation theory. The elementary-yet-modern presentation will also be of interest to experts.

Diagrammatic Algebra provides the intuition and tools necessary to address some of the key questions in modern representation theory, chief among them Lusztig’s conjecture. This book offers a largely self-contained introduction to diagrammatic algebra, culminating in an explicit and entirely diagrammatic treatment of Geordie Williamson’s explosive torsion counterexamples in full detail. The book begins with an overview of group theory and representation theory: first encountering Coxeter groups through their actions on puzzles, necklaces, and Platonic solids; then building up to non-semisimple representations of Temperley–Lieb and zig-zag algebras; and finally constructing simple representations of binary Schur algebras using the language of coloured Pascal triangles. Next, Kazhdan–Lusztig polynomials are introduced, with their study motivated by their combinatorial properties. The discussion then turns to diagrammatic Hecke categories and their associated p-Kazhdan–Lusztig polynomials, explored in a hands-on manner with numerous examples. The book concludes by showing that the problem of determining the prime divisors of Fibonacci numbers is a special case of the problem of calculating p-Kazhdan–Lusztig polynomials—using only elementary diagrammatic calculations and some manipulation of (5x5)-matrices.&nbsp; Richly illustrated and assuming only undergraduate-level linear algebra, this is a particularly accessible introduction to cutting-edge topics in representation theory. The elementary-yet-modern presentation will also be of interest to experts.

Diagrammatic Algebra

The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.

The Thermodynamics of Mathematical Representation

This book provides an introduction to mathematics and programming that is specifically designed for use by those engaged in the humanities. Linking mathematical concepts and computational skills, the chapters in this book explore humanistic questions from diverse fields, such as art, history and literature.

The Analyst’s Gambit

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