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Volumetric Discrete Geometry

by Karoly Bezdek, Zsolt Langi ...

Series series Discrete Mathematics and Its Applications
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems ... Read more

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Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume, introduces problems related to it, and presents methods to apply it to other geometric problems
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Combinatorics

A Very Short Introduction

by Robin Wilson ...

Series series Very Short Introductions
How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting ... Read more

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How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting
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Proceedings of the Eighth International Conference on Difference Equations and Applications

Edited by Saber N. Elaydi, G. Ladas, Bernd Aulbach, Ondrej Dosly ...

The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial differen ... Read more

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The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial differen
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The Structure of Complex Networks

Theory and Applications

by Ernesto Estrada ...

This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 chapters are dedicated to the development of theoretical tools for the structural analysis of networks, and 7 chapters are illustrating, in a critical way, applications of these tools to real-world scenarios. The ... Read more

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This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 chapters are dedicated to the development of theoretical tools for the structural analysis of networks, and 7 chapters are illustrating, in a critical way, applications of these tools to real-world scenarios. The
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Introduction to Radar Analysis

by Bassem R. Mahafza ...

Series series Advances in Applied Mathematics
Introduction to Radar Analysis, Second Edition is a major revision of the popular textbook. It is written within the context of communication theory as well as the theory of signals and noise. By emphasizing principles and fundamentals, the textbook serves as a vital source for students and engineers.Part I bridges the gap between communication, signal analysis, and radar. Topics include ... Read more

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Introduction to Radar Analysis, Second Edition is a major revision of the popular textbook. It is written within the context of communication theory as well as the theory of signals and noise. By emphasizing principles and fundamentals, the textbook serves as a vital source for students and engineers.Part I bridges the gap between communication, signal analysis, and radar. Topics include
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generatingfunctionology

Third Edition

by Herbert S. Wilf ...

Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics ... Read more

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Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics
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Fundamentals of Information Theory and Coding Design

by Roberto Togneri, Christopher J.S deSilva ...

Series series Discrete Mathematics and Its Applications
Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret ... Read more

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Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret
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Fundamentals of Abstract Algebra

by Mark J. DeBonis ...

Series series Textbooks in Mathematics
Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this. The book is full of opportunities for further, deeper reading, including explorations of interesting applications and more advanced topics, such as Galois theory. Replete with exercises and examples, the book is geared towards careful pedagogy and ... Read more

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by Frank Harary ...

An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or ... Read more

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An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or
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Cryptanalysis of Number Theoretic Ciphers

by Samuel S. Wagstaff, Jr. ...

Series series Computational Mathematics
At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book ... Read more

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At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book
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Beyond First Order Model Theory, Volume II

Edited by Jose Iovino ...

Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics, ... Read more

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Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics,
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Catalan Numbers

by Elena Deza ...

Series Book 4 - Selected Chapters of Number Theory: Special Numbers
Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and ... Read more

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Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and
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Combinatorics Decoded

by A K Pandey ...

Combinatorics is one of most logical and live field of mathematics. Concepts of combinatorics are widely applicable in probability and computations. Learning combinatorics requires little different approach. It requires building fundamental rules of execution. Every new problem demands a new rule. This book focuses on experiential learning of the subject.It takes reader into the all new world of ... Read more

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Combinatorics is one of most logical and live field of mathematics. Concepts of combinatorics are widely applicable in probability and computations. Learning combinatorics requires little different approach. It requires building fundamental rules of execution. Every new problem demands a new rule. This book focuses on experiential learning of the subject.It takes reader into the all new world of
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Winning Ways for Your Mathematical Plays

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by Elwyn R. Berlekamp, John H. Conway, Richard K. Guy ...

Series series AK Peters/CRC Recreational Mathematics Series
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order ... Read more

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This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order
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Symmetric Cycles

by Andrey O. Matveev ...

This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from ... Read more

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This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from
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Abstract Calculus

A Categorical Approach

by Francisco Javier Garcia-Pacheco ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making ... Read more

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Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making
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Counting

by Eng Guan Tay, Khee-meng Koh ...

This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for ... Read more

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This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for
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Fourier Restriction, Decoupling, and Applications

by Ciprian Demeter ...

Series Book 184 - Cambridge Studies in Advanced Mathematics
The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain–Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for ... Read more

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The last fifteen years have seen a flurry of exciting developments in Fourier restriction theory, leading to significant new applications in diverse fields. This timely text brings the reader from the classical results to state-of-the-art advances in multilinear restriction theory, the Bourgain–Guth induction on scales and the polynomial method. Also discussed in the second part are decoupling for
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Graph Theory and Interconnection Networks

by Lih-Hsing Hsu, Cheng-Kuan Lin ...

The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra ... Read more

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The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra
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The Beginners Math for GRE & GMAT

Maths, #1

by Subbalakshmi Devaki ...

Series Book 1 - Maths
Are you determined to conquer the GMAT Math section and achieve your dream score? Your journey to GMAT Math excellence begins right here. "GMAT Math Mastery" is more than just a book; it's your essential tool to comprehending the concepts, mastering the techniques, and honing the skills required for exceptional performance in GMAT Math.Tailored to GMAT aspirants, this guide is your comprehensive ... Read more

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Are you determined to conquer the GMAT Math section and achieve your dream score? Your journey to GMAT Math excellence begins right here. "GMAT Math Mastery" is more than just a book; it's your essential tool to comprehending the concepts, mastering the techniques, and honing the skills required for exceptional performance in GMAT Math.Tailored to GMAT aspirants, this guide is your comprehensive
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Combinatorial Methods with Computer Applications

by Jonathan L. Gross ...

Series series Discrete Mathematics and Its Applications
This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. It presents the computer and software algorithms in pseudo-code and incorporates definitions, theorems, proofs, examples, and nearly 300 illustrations as pedagogical ... Read more

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This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. It presents the computer and software algorithms in pseudo-code and incorporates definitions, theorems, proofs, examples, and nearly 300 illustrations as pedagogical
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Mathematical Solitaires and Games

by Benjamin Schwartz ...

A collection of solitaires and games which include sections on Solitiare Games like Knights Interchanges and The Stacked Playing Cards; Competitive games including SIM as a game of Chance and A winning Opening in Reverse Hex and also Solitaire games with toys like the Tower of Hanoi and Triangular Puzzle Peg. ... Read more

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A collection of solitaires and games which include sections on Solitiare Games like Knights Interchanges and The Stacked Playing Cards; Competitive games including SIM as a game of Chance and A winning Opening in Reverse Hex and also Solitaire games with toys like the Tower of Hanoi and Triangular Puzzle Peg.
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Übungen zur Kombinatorik

by Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Kombinatorik und Wahrscheinlichkeitsrechnungbedingte Wahrscheinlichkeit und Satz von BayesBerechnung statistischer Parameter: Mittelwert, Median, Modus und VarianzAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen ... Read more

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Kombinatorik und Wahrscheinlichkeitsrechnungbedingte Wahrscheinlichkeit und Satz von BayesBerechnung statistischer Parameter: Mittelwert, Median, Modus und VarianzAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen
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Topics in Graph Theory

by Jonathan L Gross, Jay Yellen, Mark Anderson ...

Series series Discrete Mathematics and Its Applications
The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety ... Read more

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The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety
... Read more

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Recommended For You

Combinatorics eBooks

Volumetric Discrete Geometry

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Proceedings of the Eighth International Conference on Difference Equations and Applications

The Structure of Complex Networks

Introduction to Radar Analysis

generatingfunctionology

Fundamentals of Information Theory and Coding Design

Fundamentals of Abstract Algebra

Graph Theory (on Demand Printing Of 02787)

Cryptanalysis of Number Theoretic Ciphers

Beyond First Order Model Theory, Volume II

Catalan Numbers

Combinatorics Decoded

Winning Ways for Your Mathematical Plays

Symmetric Cycles

Abstract Calculus

Counting

Fourier Restriction, Decoupling, and Applications

Graph Theory and Interconnection Networks

The Beginners Math for GRE & GMAT

Combinatorial Methods with Computer Applications

Mathematical Solitaires and Games

Übungen zur Kombinatorik

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