equations and inequalities

Equations and Inequalities

ISBN: , SKU: , AUTHOR: Herman, Jiri / Herman, J. / Kucera, R., PUBLISHER: Springer, This book presents methods of solving problems in three areas of classical elementary mathematics: Equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are immediately followed by carefully worked out examples of increasing degrees of difficulty, and by exercises which range from routine to rather challenging problems. While this book emphasizes some methods that are not usually covered in beginning university courses, it nevertheless teaches techniques and skills which are useful not only in the specific topics covered here. There are approximately 330 examples and 760 exercises.

Multidimensional Integral Equations and Inequalities

ISBN: , SKU: , AUTHOR: Pachpatte, B. G., PUBLISHER: Atlantis Press, Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis,

ISBN: , SKU: , AUTHOR: Hesthaven, Jan S. / Warburton, Tim, PUBLISHER: Springer, This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE's, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Maxwell's equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.

Differential Equations: A Modeling Perspective, Preliminary

ISBN: , SKU: , AUTHOR: Borrelli, Robert / Coleman, Courtney S., PUBLISHER: John Wiley & Sons, Reform Differential Equations book specifically targeted toward engineers and future engineers. It emphasizes modeling, nonlinearity, visualization, and the use of technology.

Optimal Control of Differential Equations

ISBN: , SKU: , AUTHOR: Pavel, Nicolae H. / Pavel, Pavel H., PUBLISHER: CRC Press, "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques "

Direct Methods in the Theory of Elliptic Equations

ISBN: , SKU: , AUTHOR: Necas, Jindrich / Tronel, Gerard / Kufner, Alois, PUBLISHER: Springer, Necas's famous book Direct methods in the theory of elliptic equations has become standard reference material on the mathematical theory of linear elliptic equations and systems, and also on the related function spaces framework. It provides a concise and self-contained introduction to the modern theory of partial differential equations, the theory of weak solutions and related topics. It is recommended to scientists working in the field of partial differential equations, postgraduate and graduate students, and applied mathematicians. The first chapter is devoted to directs methods, introduction to the Sobolev spaces, weak solution, Lax-Milgram theorem, Galerkin metods and spectral theory. The second chapter deals with the basic properties of Sobolev spaces (imbeddings, traces, compact imbeddings, fractional spaces).The third chapter contains existence and uniqueness theorems for problems, including the Fredholm alternative and systems of equations with variable coefficients. The next chapter describes regularity properties of weak solutions. Chapter 5 deals with applications of Rellich's inequality and Chapter 6 introduces the Sobolev spaces with weights. Finally the last chapter studies regularity of solutions and their dependence on coefficients and also on irregular domains.

Handbook of Nonlinear Partial Differential Equations, Second

ISBN: , SKU: , AUTHOR: Polyanin, Andrei D. / Zaitsev, Valentin F. / Pol'ianin, A. D., PUBLISHER: CRC Press, Updated and expanded, this popular handbook provides a catalog of nonlinear PDEs and their solutions. With nearly 400 pages of new and updated material, this edition contains over 500 nonlinear PDEs with solutions and many new nonlinear systems of PDEs with solutions. In the first half of the book, numerous new and nonlinear systems of PDEs are described with a focus on equations containing one or more arbitrary parameters. The authors cover equations that arise in heat transfer, wave theory, nonlinear mechanics, hydrodynamics, gas dynamics, plasticity theory, nonlinear optics, theoretical physics, differential geometry, control theory, biology, and other fields. The second half of the book presents the exact methods used for solving these types of equations. The authors explore classical methods and some recent developments, along with examples that illustrate applications of the methods.

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis,

ISBN: , SKU: , AUTHOR: Hesthaven, Jan S. / Warburton, Tim, PUBLISHER: Springer, The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. All key theoretical results are either derived or discussed, including an overview of relevant results from approximation theory, convergence theory for numerical PDEa (TM)s, orthogonal polynomials etc. Through embedded Matlab codes, the algorithms are discussed and implemented for a number of classic systems of PDEa (TM)s, e.g., Maxwella (TM)s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. These developments are done in detail in one and two dimensions on general unstructured grids with high-order elements and all essential routines for 3D extensions are also included and discussed briefly. The three appendices contain an overview of orthogonal polynomials and associated library routines used throughout, a brief introduction to grid generation, and an overview of the associated software (where to get it, list of variables etc). A variety of exercises are included at the end of most chapters.

Handbook of Means and Their Inequalities

ISBN: , SKU: , AUTHOR: P S Bullen, PUBLISHER: Springer, NA

Middle Grades Math All-In-One Student Workbook Algebra

ISBN: , SKU: , AUTHOR: Pearson Education, PUBLISHER: Prentice Hall, Prentice Hall Mathematics has a unique new course to help prepare your students for Algebra and beyond - Algebra Readiness (c) Our new, comprehensive course covers Pre-Algebra content specifically designed for the middle school learner. Algebra Readiness is designed for the middle school learner and provides a smooth transition from Course 1 and Course 2 Math. Students of all levels benefit from the structured leveled set of exercises in the homework sections. First, students practice by example. Next, they apply the skills they have learned, and finally, students are challenged with problems that require them to apply concepts on an accelerated level. The Go For Help icon refers students back to examples for help on similar problems previously introduced in the chapter. Topics covered include algebraic expressions and integers, solving one-step equations and inequalities, area and volume, and linear functions.

Brain Benders, Intermediate: Challenging Puzzles and Games

ISBN: , SKU: , AUTHOR: Publishing, Carson Dellosa / Rainbow Bridge Publishing, PUBLISHER: Rainbow Bridge Publishing (UT), Math and language arts skills are covered through critical thinking, creative problem solving, and deductive reasoning. Perfect at home or in school, these puzzles will tease and boggle puzzle-loving brains Activities include logic problems, analogies, word equations, number games, and more

Quantum-Classical Correspondence: Dynamical Quantization and

ISBN: , SKU: , AUTHOR: Bolitschek, Josef, PUBLISHER: Springer, At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entree to an intriguing and thorny issue at the core of modern physics.

Geometry and Nonlinear Partial Differential Equations

ISBN: , SKU: , AUTHOR: S T Yau Shuxing Chen, PUBLISHER: American Mathematical Society, NA

Quantum Mechanics and Gravity

ISBN: , SKU: , AUTHOR: Sachs, Mendel, PUBLISHER: Springer, This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.

Advances in Differential Equations and Mathematical Physics

ISBN: , SKU: , AUTHOR: Gunter Stolz Rudi Weikard Yanni Zeng Yulia Karpeshina, PUBLISHER: American Mathematical Society, NA

Elementary Algebra With Digital Video Companion, Bca

ISBN: , SKU: , AUTHOR: Charles P. McKeague, PUBLISHER: Brooks/Cole Pub Co, Exceptionally clear and accessible, Pat McKeague's best-selling texts offer all the review, drill, and practice students need to develop solid mathematical proficiency and confidence. McKeague's attention to detail, exceptional writing style, and organization of mathematical concepts make teaching enjoyable and learning accessible. The seventh edition of this popular series gives the book a greater emphasis on the connections between equations, tables, and graphs and by incorporating pedagogy that addresses collaborative learning and terminology.

Mexico: The Dilemmas of Transition

ISBN: , SKU: , AUTHOR: Harvey / Harvey, Neil, PUBLISHER: I. B. Tauris & Company, This book examines Mexico's attempts to initiate political reform and economic restructuring. It addresses the problems of implementing reforms that attack vested interests and lead to greater inequalities at a time of economic crisis, and asks how the government can create a "South-East Asian" economy and limit the worst effects of the entry into global capitalism while maintaining stability. The contributions cover the last ten years.

Technical Physics

ISBN: , SKU: , AUTHOR: Bueche, Fred / Bueche, F. / Bueche, Frederick, PUBLISHER: John Wiley & Sons, The basic nature of the text remains the same but numerous modifications have been made to enhance its teachability. Photometry units and definitions are now consistent with the latest publications. A discussion of ideal fluid flow with Bernoulli's equation and the conservation of mass has been added. An expanded mathematics section of the appendix includes logarithms and their equations as well as approximations and trigonometric identities. Problems are greater in both number and variety.

Mathematics in Games, Sports, and Gambling: The Games People

ISBN: , SKU: , AUTHOR: Gould, Ronald J., PUBLISHER: Chapman & Hall/CRC, A Fun & Interesting Way to Teach an Introductory Mathematics Course Presents a Mix of Discrete Probability, Statistics, & Elementary Discrete Mathematics Topics With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling - The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. Only requiring high school algebra, the text offers flexibility in choosing what material to cover in a basic mathematics course. It covers permutations in the two-deck matching game so derangements can be counted, introduces graphs to find matches when looking at extensions of the five-card trick, and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear equations and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and sports data. Acquista Ora

Monte Carlo Methods, Basics

ISBN: , SKU: , AUTHOR: Kalos, Malvin H. / Whitlock, Paula A., PUBLISHER: Wiley-VCH Verlag GmbH, This introduction to Monte Carlo Methods seeks to identify and study the unifying elements that underlie their effective application. It focuses on two basic themes. The first is the importance of random walks as they occur both in natural stochastic systems and in their relationship to integral and differential equations. The second theme is that of variance reduction in general and importance sampling in particular as a technique for efficient use of the methods. Random walks are introduced with an elementary example in which the modelling of radiation transport arises directly from a schematic probabilistic description of the interaction of radiation with matter. Building on that example, the relationship between random walks and integral equations is outlined. The applicability of these ideas to other problems is shown by a clear and elementary introduction to the solution of the Schrodinger equation by random walks. The detailed discussion of variance reduction includes Monte Carlo evaluation of finite-dimensional integrals. Special attention is given to importance sampling, partly because of its intrinsic interest in quadrature, partly because of its general usefulness in the solution of integral equations. One significant feature is that Monte Carlo Methods treats the "Metropolis algorithm" in the context of sampling methods, clearly distinguishing it from importance sampling. Physicists, chemists, statisticians, mathematicians, and computer scientists will find Monte Carlo Methods a complete and stimulating introduction.

Geometric Curve Evolution and Image Processing

ISBN: , SKU: , AUTHOR: Emmerich, Heike J. / Cao, Frederic / Cao, Frdric, PUBLISHER: Springer, In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous and self-contained exposition of the techniques of "motion by curvature." The approach is axiomatic and formulated in terms of geometric invariance with respect to the position of the observer. This is translated into mathematical terms, and the author develops the approach of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then draws a complete parallel with another axiomatic approach using level-set methods: this leads to generalized curvature motions. Finally, novel, and very accurate, numerical schemes are proposed allowing one to compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved.

The Handbook of Electrical Engineering

ISBN: , SKU: , AUTHOR: Research & Education Association / Rea / Staff of Research Education Association, PUBLISHER: Research & Education Association, This handbook is a review of the important facts and concepts in electrical engineering. Comprehensive and concise, it is a handy reference source at all times for the professional and the student. It condenses the vast amount of detail characteristic of the subject mater and summarizes the essentials of the field. The book provides quick access to the important facts, principles, theorems, and equations in electrical engineering.

Feminist Academics: Creative Agents for Change

ISBN: , SKU: , AUTHOR: Morley, Louise / Walsh, Val, PUBLISHER: Taylor & Francis Group, This text brings together leading feminists who explore questions of feminist interventions in organisations of knowledge production, covering both the structure and culture of academic institutions and the social divisions between women. Feminism is located as a force for change, empowering women to gain a political understanding and providing a methodology for new approaches to teaching, learning, research and writing in the academy. Contributions demonstrate how an analysis of the micropolitics of the academy in terms of power, policies, discourses, pedagogy and interpersonal relationships provides a framework for de- privatising women's experience and influencing change. Using theoretical constructs and their own biographies and experience, the contributors present predicaments, inequalities and strategies. Power and influence are considered in conjunction with gender, 'race', social class and sexuality.

Solve It: Manipulative Math Puzzles

ISBN: , SKU: , AUTHOR: Barson, Alan, PUBLISHER: Good Apple, Contains 25 classroom-tested manipulative math puzzles that reinforce a number of NCTM Standards. Students manipulate number cards to find answers to problems in the areas of place value, estimation, rounding, equations, equivalency, and more. There are games for one, games for two, algorithm or equation activities, and problem-solving situations that will intrigue even your most reluctant mathematician.

FE Review Manual: Rapid Preparation for the Fundamentals of

ISBN: , SKU: , AUTHOR: Lindeburg, Michael R., PUBLISHER: Professional Publications (CA), The Best-Selling Book for FE Exam Preparation The "FE Review Manual" is the most trusted FE exam prep book available. It offers comprehensive coverage of FE exam topics while providing what exam candidates have requested most--integration of equations and variables from the "NCEES Fundamentals of Engineering Supplied-Reference Handbook." The "FE Review Manual" is a complete exam prep package in one book. Gain a better understanding of key concepts and save prep time by reviewing FE exam topics and "NCEES Handbook "equations in a single location. These equations, along with "NCEES Handbook" figure names and table contents are distinguished in green text for easy cross-referencing. Use the 13 diagnostic exams to identify where you need the most review and improve your problem-solving skills with over practice problems. Be sure to evaluate your progress by taking the included realistic 4-hour sample exam--it's designed to simulate the actual FE exam's morning session. Entrust your FE exam prep to the "FE Review Manual "and get the power to pass the first time--guaranteed--or we'll refund your purchase price. "Everything You Need to Succeed " Complete FE exam coverage in 54 easy-to-read chapters 13 topic-specific diagnostic exams Green text to distinguish "NCEES Handbook" equations, table contents, and figure names Over practice problems with step-by-step solutions SI units throughout 4-hour morning session practice exam A sample study schedule A comprehensive, easy-to-use index Exam tips and advice Topics Covered Include Biology Chemistry Computers, Measurement, and Controls Conversion Factors Dynamics Electric Circuits Engineering Economics Ethics Fluid Mechanics Materials Science/Structure of Matter Mathematics Mechanics of Materials Statics Thermodynamics and Heat Transfer Transport Phenomena Units and Fundamental Constants _____________________________ Since more than 2 million people preparing for their engineering, surveying, architecture, LEED(R), interior design, and landscape architecture exams have entrusted their exam prep to PPI. For more information, visit us at www.ppi2pass.com.

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