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Books in Mathematics general

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51-60 of 853 results in All results

Principles of Mathematical Modeling

  • 3rd Edition
  • June 1, 2017
  • Clive Dym
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 4 7 4 4 - 6
Principles of Mathematical Modeling 3rd edition describes, in clear and simple language, the essential corpus of modelling principles, and then builds on them with a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making.　 The work will be particularly of interest to scientific and professional students of various stripes who depend heavily on concepts of mathematical modeling. In an age where many modelling applications turn increasingly to the cloud, author Clive Dym believes that students need to understand and ‘own’ the underlying mathematics that computers are doing on their behalf. This work aims to continue to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers.　Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics.

Mathematics Applied to Engineering

  • 1st Edition
  • May 22, 2017
  • Mangey Ram + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 0 9 9 8 - 4
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 0 4 3 6 - 1
Mathematics Applied in Engineering presents a wide array of applied mathematical techniques for an equally wide range of engineering applications, covering areas such as acoustics, system engineering, optimization, mechanical engineering, and reliability engineering. Mathematics acts as a foundation for new advances, as engineering evolves and develops. This book will be of great interest to postgraduate and senior undergraduate students, and researchers, in engineering and mathematics, as well as to engineers, policy makers, and scientists involved in the application of mathematics in engineering.

Modeling and Analysis of Modern Fluid Problems

  • 1st Edition
  • April 26, 2017
  • Liancun Zheng + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 7 5 3 - 8
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 7 5 9 - 0
Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth.

Techniques of Functional Analysis for Differential and Integral Equations

  • 1st Edition
  • April 25, 2017
  • Paul Sacks
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 4 2 6 - 1
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 4 5 7 - 5
Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.

Transcendental Curves in the Leibnizian Calculus

  • 1st Edition
  • April 20, 2017
  • Viktor Blasjo
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 3 2 3 7 - 1
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 3 2 9 8 - 2
Transcendental Curves in the Leibnizian Calculus analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it.

Optimal Sports Math, Statistics, and Fantasy

  • 1st Edition
  • April 6, 2017
  • Robert Kissell + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 8 0 5 1 6 3 - 4
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 5 2 9 3 - 8
Optimal Sports Math, Statistics, and Fantasy provides the sports community—students, professionals, and casual sports fans—with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions.   Readers will learn how to: Accurately rank sports teams Compute winning probability Calculate expected victory margin Determine the set of factors that are most predictive of team and player performance Optimal Sports Math, Statistics, and Fantasy also illustrates modeling techniques that can be used to decode and demystify the mysterious computer ranking schemes that are often employed by post-season tournament selection committees in college and professional sports. These methods offer readers a verifiable and unbiased approach to evaluate and rank teams, and the proper statistical procedures to test and evaluate the accuracy of different models.   Optimal Sports Math, Statistics, and Fantasy delivers a proven best-in-class quantitative modeling framework with numerous applications throughout the sports world.

Cryptographic Boolean Functions and Applications

  • 2nd Edition
  • March 30, 2017
  • Thomas W. Cusick + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 1 1 1 2 9 - 1
  • eBook
    9 7 8 - 0 - 1 2 - 8 1 1 1 3 0 - 7
Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text.

Treatise on Analysis

  • 1st Edition
  • June 3, 2016
  • J. Dieudonné
  • H. Bass + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 6 6 8 3 - 1
Treatise on Analysis, Volume 10–VIII provides information pertinent to the study of the most common boundary problems for partial differential equations. This book presents the study of Cauchy's problem in its most elementary form. Comprised of one chapter, this volume begins with an overview of Hilbert-von Neumann spectral theory and explores all possible boundary conditions related to spectral theory. This text then examines the link of Cauchy's problem with the behavior of the equation's characteristics. This book discusses as well the case of linear elliptic operators. The reader is also introduced to Sobolev spaces and some of their generalizations that provide an essential tool in the study of these elliptic problems, and their manipulation requires delicate upper bounds to obtain the best possible results. This book is a valuable resource for mathematicians.

Real-Variable Methods in Harmonic Analysis

  • 1st Edition
  • June 3, 2016
  • Alberto Torchinsky
  • Samuel Eilenberg + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 6 8 8 8 - 0
Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

Localization of Nilpotent Groups and Spaces

  • 1st Edition
  • June 3, 2016
  • Peter Hilton + 2 more
  • Leopoldo Nachbin
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 5 8 7 4 - 4
North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces. The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena. The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.