Invitation to Discrete Mathematics PDF Download
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Author: Jiří Matoušek
Publisher: Oxford University Press
ISBN: 0198570430
Category : Mathematics
Languages : en
Pages : 462
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Book Description
A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.
Author: Jiří Matoušek
Publisher: Oxford University Press
ISBN: 0198570430
Category : Mathematics
Languages : en
Pages : 462
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Book Description
A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.
Author: Witold Abramowicz
Publisher: Springer
ISBN: 9783030366902
Category : Computers
Languages : en
Pages : 698
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Book Description
This book constitutes revised papers from the nine workshops and one accompanying event which took place at the 22nd International Conference on Business Information Systems, BIS 2019, held in Seville, Spain, in June 2019. There was a total of 139 submissions to all workshops of which 57 papers were accepted for publication. The workshops included in this volume are: AKTB 2019: 11th Workshop on Applications of Knowledge-Based Technologies in Business BITA 2019: 10th Workshop on Business and IT Alignment BSCT 2019: Second Workshop on Blockchain and Smart Contract Technologies DigEX 2019: First International Workshop on transforming the Digital Customer Experience iCRM 2019: 4th International Workshop on Intelligent Data Analysis in Integrated Social CRM iDEATE 2019: 4th Workshop on Big Data and Business Analytics Ecosystems ISMAD 2019: Workshop on Information Systems and Applications in Maritime Domain QOD 2019: Second Workshop on Quality of Open Data SciBOWater 2019: Second Workshop on Scientific Challenges and Business Opportunities in Water Management
Author: John L. Casti
Publisher:
ISBN: 0786747609
Category : Science
Languages : en
Pages : 222
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Book Description
Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
Author: Alexander Givental
Publisher: American Mathematical Soc.
ISBN: 9780821828502
Category : Algebras, Linear
Languages : en
Pages : 150
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Book Description
The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.
Author: John Dawson
Publisher: A K Peters/CRC Press
ISBN: 9781568812564
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
Author: Daniel Alpay
Publisher: American Mathematical Soc.
ISBN: 9780821821558
Category : Computers
Languages : en
Pages : 162
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Book Description
The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and a corresponding algorithm. These generalized Schur functions have important applications to the theory of linear operators, to signal processing and control theory, and to other areas of engineering. In this book, Alpay looks at matrix-valued Schur functions and their applications from the unifying point of view of spaces with reproducing kernels. This approach is used here to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. The inverse scattering problem plays a key role in the exposition. The point of view also allows for a natural way to tackle more general cases, such as nonstationary systems, non-positive metrics, and pairs of commuting nonself-adjoint operators. This is the English translation of a volume originally published in French by the Societe Mathematique de France. Translated by Stephen S. Wilson.
Author: Hershel M. Farkas
Publisher: American Mathematical Soc.
ISBN: 0821813927
Category : Mathematics
Languages : en
Pages : 557
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Book Description
There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, exact formulas for number-theoretic quantities are derived from relations between analytic functions. Elliptic functions, especially theta functions, are an important class of such functions in this context, which had been made clear already in Jacobi's Fundamenta nova. Theta functions are also classically connected with Riemann surfaces and with the modular group $\Gamma = \mathrm{PSL (2,\mathbb{Z )$, which provide another path for insights into number theory. Farkas and Kra, well-known masters of the theory of Riemann surfaces and the analysis of theta functions, uncover here interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. For instance, the authors use this approach to derive congruences discovered by Ramanujan for the partition function, with the main ingredient being the construction of the same function in more than one way. The authors also obtain a variant on Jacobi's famous result on the number of ways that an integer can be represented as a sum of four squares, replacing the squares by triangular numbers and, in the process, obtaining a cleaner result. The recent trend of applying the ideas and methods of algebraic geometry to the study of theta functions and number theory has resulted in great advances in the area. However, the authors choose to stay with the classical point of view. As a result, their statements and proofs are very concrete. In this book the mathematician familiar with the algebraic geometry approach to theta functions and number theory will find many interesting ideas as well as detailed explanations and derivations of new and old results. Highlights of the book include systematic studies of theta constant identities, uniformizations of surfaces represented by subgroups of the modular group, partition identities, and Fourier coefficients of automorphic functions. Prerequisites are a solid understanding of complex analysis, some familiarity with Riemann surfaces, Fuchsian groups, and elliptic functions, and an interest in number theory. The book contains summaries of some of the required material, particularly for theta functions and theta constants. Readers will find here a careful exposition of a classical point of view of analysis and number theory. Presented are numerous examples plus suggestions for research-level problems. The text is suitable for a graduate course or for independent reading.
Author: Lisa L. Weyandt
Publisher: Springer Science & Business Media
ISBN: 1461453453
Category : Psychology
Languages : en
Pages : 134
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Book Description
Not long ago, conventional wisdom held that ADHD was a disorder of childhood only—that somewhere during puberty or adolescence, the child would outgrow it. Now we know better: the majority of children with the disorder continue to display symptoms throughout adolescence and into adulthood. It is during the teen and young adult years that the psychological and academic needs of young people with ADHD change considerably, and clinical and campus professionals are not always sufficiently prepared to meet the challenge. College Students with ADHD is designed to bring the professional reader up to speed. The book reviews the latest findings on ADHD in high school and college students, assessment methods, and pharmacological and nonpharmacological interventions. Practical guidelines are included for helping young adults make the transition to college, so they may cope with their disorder and do as well as possible in school and social settings. Coverage is straightforward, realistic, and geared toward optimum functioning and outcomes. Among the topics featured: - Background information, from current statistics to diagnostic issues. - ADHD in high school adolescents. - ADHD in college students: behavioral, academic, and psychosocial functioning. - Assessment of ADHD in college students. - Psychosocial/educational treatment of ADHD in college students. - Pharmacotherapy for college students with ADHD. - Future directions for practice and research. The comprehensive information in College Students with ADHD provides a wealth of information to researchers and professionals working with this population, including clinical and school psychologists, school and college counselors, special education teachers, social workers, developmental psychologists, and disability support staff on college campuses, as well as allied mental health providers.
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1760
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Book Description
Author: L.A. Peletier
Publisher: Springer Science & Business Media
ISBN: 1461201357
Category : Mathematics
Languages : en
Pages : 347
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Book Description
The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.
