Counting And Configurations
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| Author | : Jiri Herman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 1475739257 |
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.
| Author | : Sebastian Löbner |
| Publisher | : Springer Nature |
| Total Pages | : 486 |
| Release | : 2021-05-28 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 3030502007 |
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.
| Author | : Schools Council (Great Britain). Mathematics Curriculum Project |
| Publisher | : |
| Total Pages | : 57 |
| Release | : 1978 |
| Genre | : Configurations |
| ISBN | : 9780216903401 |
| Author | : Richard Evan Schwartz |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 246 |
| Release | : 2015-03-19 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 1470422093 |
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.
| Author | : John W. Lawrence |
| Publisher | : Cambridge University Press |
| Total Pages | : 640 |
| Release | : 2021-04-15 |
| Genre | : Mathematics |
| ISBN | : 1108865518 |
Through this book, upper undergraduate mathematics majors will master a challenging yet rewarding subject, and approach advanced studies in algebra, number theory and geometry with confidence. Groups, rings and fields are covered in depth with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Gröbner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine. It includes a detailed treatment of the basics on finite groups, including Sylow theory and the structure of finite abelian groups. Galois theory and its applications to polynomial equations and geometric constructions are treated in depth. Those interested in computations will appreciate the novel treatment of division algorithms. This rigorous text 'gets to the point', focusing on concisely demonstrating the concept at hand, taking a 'definitions first, examples next' approach. Exercises reinforce the main ideas of the text and encourage students' creativity.
| Author | : C. Vasudev |
| Publisher | : New Age International |
| Total Pages | : 11 |
| Release | : 2005 |
| Genre | : Combinatorial analysis |
| ISBN | : 8122417051 |
Combinatorics Is The Mathematics Of Counting, Selecting And Arranging Objects. Combinatorics Include The Theory Of Permutations And Combinations. These Topics Have An Enormous Range Of Applications In Pure And Applied Mathematics And Computer Science. These Are Processes By Which We Organize Sets So That We Can Interpret And Apply The Data They Contain. Generally Speaking, Combinatorial Questions Ask Whether A Subset Of A Given Set Can Be Chosen And Arranged In A Way That Conforms With Certain Constraints And, If So, In How Many Ways It Can Be Done. Applications Of Combinatorics Play A Major Role In The Analysis Of Algorithms.For Example, It Is Often Necessary In Such Analysis To Count The Average Number Of Times That A Particular Portion Of An Algorithm Is Executed Over All Possible Data Sets. This Topic Also Includes Solution Of Difference Equations. Differences Are Required For Analysis Of Algorithmic Complexity, And Since Computers Are Frequently Used In The Numerical Solution Of Differential Equations Via Their Discretized Versions Which Are Difference Equations. It Also Deals With Questions About Configurations Of Sets, Families Of Finite Sets That Overlap According To Some Prescribed Numerical Or Geometrical Conditions. Skill In Using Combinatorial Techniques Is Needed In Almost Every Discipline Where Mathematics Is Applied.Salient Features * Over 1000 Problems Are Used To Illustrate Concepts, Related To Different Topics, And Introduce Applications. * Over 1000 Exercises In The Text With Many Different Types Of Questions Posed. * Precise Mathematical Language Is Used Without Excessive Formalism And Abstraction. * Precise Mathematical Language Is Used Without Excessive Formalism And Abstraction. * Problem Sets Are Started Clearly And Unambiguously And All Are Carefully Graded For Various Levels Of Difficulty.
| Author | : Lothar Budach |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 444 |
| Release | : 1991-08-28 |
| Genre | : Computers |
| ISBN | : 9783540544586 |
This volume contains papers which were contributed for presentation at the international conference "Fundamentals of Computation Theory - FCT '91" heldat Gosen, near Berlin, September 9-13, 1991. This was the eighth in the series of FCT conferences organized every odd year. The programme of theconference, including invited lectures and selected contributions, falls into the following categories: - Semantics and logical concepts in the theory of computing, formal specification, - Automata and formal languages, Computational geometry, - Algorithmic aspects of algebra and algebraic geometry, cryptography, - Complexity (sequential, parallel, distributed computing, structure, lower bounds, complexity of analytical problems, general concepts), - Algorithms (efficient, probabilistic, parallel, sequential, distributed), - Counting and combinatorics in connection with mathematical computer science. The proceedings of previous FCT meetings are available as Lecture Notes in Computer Science (Vols. 380, 278, 199, 158, 117, 56).
| Author | : Helmut Satz |
| Publisher | : Oxford University Press |
| Total Pages | : 177 |
| Release | : 2017 |
| Genre | : Science |
| ISBN | : 0198792425 |
What is the origin of the universe? What was there before the universe appeared? We are presently witnessing a second Copernican revolution: neither our Earth and Sun nor our galaxy nor even our universe is the end of all things. This account of recent developments in modern cosmology introduces how the Big Bang took place and what preceded it.
| Author | : Luigi Accardi |
| Publisher | : World Scientific |
| Total Pages | : 391 |
| Release | : 2007-07-12 |
| Genre | : Mathematics |
| ISBN | : 9814474797 |
This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity illustrates that research in quantum probability and infinite dimensional analysis is very active and strongly involved in modern mathematical developments and applications.
| Author | : Susan Rothstein |
| Publisher | : Cambridge University Press |
| Total Pages | : 289 |
| Release | : 2017-04-06 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1107001277 |
The book is an investigation of the semantics of numericals, counting and measuring, and its connection to the mass/count distinction from a theoretical and crosslinguistic perspective. It reviews some recent major linguistic results in these topics, and presents the author's new research including in-depth case studies of a number of typologically unrelated languages.
