Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402
Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Counting and Configurations
Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402
Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Publisher: Springer Science & Business Media
ISBN: 1475739257
Category : Mathematics
Languages : en
Pages : 402
Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Concepts, Frames and Cascades in Semantics, Cognition and Ontology
Author: Sebastian Löbner
Publisher: Springer Nature
ISBN: 3030502007
Category : Language Arts & Disciplines
Languages : en
Pages : 475
Book Description
This open access book presents novel theoretical, empirical and experimental work exploring the nature of mental representations that support natural language production and understanding, and other manifestations of cognition. One fundamental question raised in the text is whether requisite knowledge structures can be adequately modeled by means of a uniform representational format, and if so, what exactly is its nature. Frames are a key topic covered which have had a strong impact on the exploration of knowledge representations in artificial intelligence, psychology and linguistics; cascades are a novel development in frame theory. Other key subject areas explored are: concepts and categorization, the experimental investigation of mental representation, as well as cognitive analysis in semantics. This book is of interest to students, researchers, and professionals working on cognition in the fields of linguistics, philosophy, and psychology.
Publisher: Springer Nature
ISBN: 3030502007
Category : Language Arts & Disciplines
Languages : en
Pages : 475
Book Description
This open access book presents novel theoretical, empirical and experimental work exploring the nature of mental representations that support natural language production and understanding, and other manifestations of cognition. One fundamental question raised in the text is whether requisite knowledge structures can be adequately modeled by means of a uniform representational format, and if so, what exactly is its nature. Frames are a key topic covered which have had a strong impact on the exploration of knowledge representations in artificial intelligence, psychology and linguistics; cascades are a novel development in frame theory. Other key subject areas explored are: concepts and categorization, the experimental investigation of mental representation, as well as cognitive analysis in semantics. This book is of interest to students, researchers, and professionals working on cognition in the fields of linguistics, philosophy, and psychology.
Mathematics of Choice
Author: Ivan Niven
Publisher: MAA
ISBN: 0883856158
Category : Mathematics
Languages : en
Pages : 215
Book Description
Publisher: MAA
ISBN: 0883856158
Category : Mathematics
Languages : en
Pages : 215
Book Description
Principles of Combinatorics
Author: Berge
Publisher: Academic Press
ISBN: 0080955819
Category : Computers
Languages : en
Pages : 189
Book Description
Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.
Publisher: Academic Press
ISBN: 0080955819
Category : Computers
Languages : en
Pages : 189
Book Description
Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.
You Can Count on Monsters
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 1470422093
Category : Juvenile Nonfiction
Languages : en
Pages : 246
Book Description
This book is a unique teaching tool that takes math lovers on a journey designed to motivate kids (and kids at heart) to learn the fun of factoring and prime numbers. This volume visually explores the concepts of factoring and the role of prime and composite numbers. The playful and colorful monsters are designed to give children (and even older audiences) an intuitive understanding of the building blocks of numbers and the basics of multiplication. The introduction and appendices can also help adult readers answer questions about factoring from their young audience. The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard math texts. Any person, regardless of age, can profit from reading this book. Readers will find themselves returning to its pages for a very long time, continually learning from and getting to know the monsters as their knowledge expands. You Can Count on Monsters is a magnificent addition for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the visually fascinating world of the numbers 1 through 100.
Publisher: American Mathematical Soc.
ISBN: 1470422093
Category : Juvenile Nonfiction
Languages : en
Pages : 246
Book Description
This book is a unique teaching tool that takes math lovers on a journey designed to motivate kids (and kids at heart) to learn the fun of factoring and prime numbers. This volume visually explores the concepts of factoring and the role of prime and composite numbers. The playful and colorful monsters are designed to give children (and even older audiences) an intuitive understanding of the building blocks of numbers and the basics of multiplication. The introduction and appendices can also help adult readers answer questions about factoring from their young audience. The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard math texts. Any person, regardless of age, can profit from reading this book. Readers will find themselves returning to its pages for a very long time, continually learning from and getting to know the monsters as their knowledge expands. You Can Count on Monsters is a magnificent addition for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the visually fascinating world of the numbers 1 through 100.
Eureka Math Grade K Study Guide
Author: Great Minds
Publisher: John Wiley & Sons
ISBN: 1118997271
Category : Education
Languages : en
Pages : 161
Book Description
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade K provides an overview of all of the Kindergarten modules, including Numbers to 10; Two-Dimensional and Three-Dimensional Shapes; Comparison of Length, Weight, Capacity, and Numbers to 10; Number Pairs, Addition and Subtraction to 10; Numbers 10–20 and Counting to 10; and Analyzing Comparing and Composing Shapes.
Publisher: John Wiley & Sons
ISBN: 1118997271
Category : Education
Languages : en
Pages : 161
Book Description
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade K provides an overview of all of the Kindergarten modules, including Numbers to 10; Two-Dimensional and Three-Dimensional Shapes; Comparison of Length, Weight, Capacity, and Numbers to 10; Number Pairs, Addition and Subtraction to 10; Numbers 10–20 and Counting to 10; and Analyzing Comparing and Composing Shapes.
A Farewell to Entropy
Author: Arieh Ben-Naim
Publisher: World Scientific
ISBN: 981279073X
Category : Science
Languages : en
Pages : 411
Book Description
The contributions in this volume discuss numerous hot topics of interdisciplinary interest in plasma physics, astrophysics, and fluid dynamics. It collects the articles presented at a Workshop that has gathered world experts with a broad spectrum of research interests.
Publisher: World Scientific
ISBN: 981279073X
Category : Science
Languages : en
Pages : 411
Book Description
The contributions in this volume discuss numerous hot topics of interdisciplinary interest in plasma physics, astrophysics, and fluid dynamics. It collects the articles presented at a Workshop that has gathered world experts with a broad spectrum of research interests.
Symmetry and Combinatorial Enumeration in Chemistry
Author: Shinsaku Fujita
Publisher: Springer Science & Business Media
ISBN: 364276696X
Category : Science
Languages : en
Pages : 358
Book Description
This book is written to introduce a new approach to stereochemical problems and to combinatorial enumerations in chemistry. This approach is based on group the ory, but different from conventional ways adopted by most textbooks on chemical group theory. The difference sterns from their starting points: conjugate subgroups and conjugacy classes. The conventional textbooks deal with linear representations and character ta bles of point groups. This fact implies that they lay stress on conjugacy classesj in fact, such group characters are determined for the respective conjugacy classes. This approach is versatile, since conjugacy classes can be easily obtained by ex amining every element of a group. It is unnecessary to know the group-subgroup relationship of the group, which is not always easy to obtain. The same situa tion is true for chemical enumerations, though these are founded on permutation groups. Thus, the P6lya-Redfield theorem (1935 and 1927) uses a cycle index that is composed of terms associated with conjugacy classes.
Publisher: Springer Science & Business Media
ISBN: 364276696X
Category : Science
Languages : en
Pages : 358
Book Description
This book is written to introduce a new approach to stereochemical problems and to combinatorial enumerations in chemistry. This approach is based on group the ory, but different from conventional ways adopted by most textbooks on chemical group theory. The difference sterns from their starting points: conjugate subgroups and conjugacy classes. The conventional textbooks deal with linear representations and character ta bles of point groups. This fact implies that they lay stress on conjugacy classesj in fact, such group characters are determined for the respective conjugacy classes. This approach is versatile, since conjugacy classes can be easily obtained by ex amining every element of a group. It is unnecessary to know the group-subgroup relationship of the group, which is not always easy to obtain. The same situa tion is true for chemical enumerations, though these are founded on permutation groups. Thus, the P6lya-Redfield theorem (1935 and 1927) uses a cycle index that is composed of terms associated with conjugacy classes.
Probability
Author: David Santos
Publisher: Jones & Bartlett Learning
ISBN: 0763784117
Category : Mathematics
Languages : en
Pages : 414
Book Description
Probability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using Maple.
Publisher: Jones & Bartlett Learning
ISBN: 0763784117
Category : Mathematics
Languages : en
Pages : 414
Book Description
Probability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using Maple.
Computability, Complexity, and Languages
Author: Martin Davis
Publisher: Academic Press
ISBN: 0122063821
Category : Computers
Languages : en
Pages : 631
Book Description
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. Additions to the second edition include: extended exercise sets, which vary in difficulty; expanded section on recursion theory; new chapters on program verification and logic programming; updated references and examples throughout.
Publisher: Academic Press
ISBN: 0122063821
Category : Computers
Languages : en
Pages : 631
Book Description
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. Additions to the second edition include: extended exercise sets, which vary in difficulty; expanded section on recursion theory; new chapters on program verification and logic programming; updated references and examples throughout.