Main Category: Mathematics >> Sub Category: Engineering Mathematics
Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction

This book compiles and synthesizes existing research on teachers use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on but not restricted to those materials developed in the 1990s in response to the NCTMs Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.     

Author Name :Janine T. Remillard, Beth A. Herbel-Eisenmann, Gwendolyn M. Lloyd

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Computer Algebra Recipes for Mathematical Physics

This book is a self-contained guide to the Maple computer algebra system which draws its examples from mathematical physics. The format of the book is very pleasant for the reader. The book consists of short examples, each about 1-3 pages, which describe the problem studied and then provide a recipe to solve it. Each example begins with a humorous or witty citation from the writers of the past -- a good method to stimulate the reader. The recipes cover a great number of topicsand each topic is subdivided into numerous examples. This book is best suited for physicists but also mathematicians would find this text very useful.     

Author Name :Richard H. Enns

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Discrete Mathematics for Computer Scientists

Stein/Drysdale/Bogart's Discrete Mathematics for Computer Scientists is ideal for computer science students taking the discrete math course.Written specifically for computer science students, this unique textbook directly addresses their needs by providing a foundation in discrete math while using motivating, relevant CS applications. This text takes an active-learning approach where activities are presented as exercises and the material is then fleshed out through explanations and extensions of the exercises.     

Author Name :Cliff Stein, Robert L. Drysdale, Kenneth Bogart

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Solving Applied Mathematical Problems with MATLAB

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book. Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.     

Author Name :Dingyu Xue, Yangquan Chen

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Basic Engineering Mathematics, Fourth Edition

Unlike most engineering maths texts, this book does not assume a firm grasp of GCSE maths, yet unlike low-level general maths texts the content is tailored for the needs of engineers. The result is a unique text written for engineering students, but which takes a starting point below GCSE level.Basic Engineering Mathematicsis therefore ideal for students of a wide range of abilities, and especially for those who find the theoretical side of mathematics difficult.John Bird's approach is based on numerous worked examples, supported by 575 worked problems and followed by 1000 further problems. The content has been designed to match current Level 2 courses, including intermediate GNVQ, Engineering GCSE and the new specifications for BTEC First.Level 3 students who struggle with their maths will also find this book particularly useful. With this in mind, all topics within the compulsory units of the AVCE (Applied Mathematics for Engineering) and the new specifications for BTEC National (Mathematics for Technicians) are covered.     

Author Name :John Bird

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A Course in Fluid Mechanics with Vector Field Theory

A Course in Fluid Mechanics with Vector Field Theory by Dennis C. Prieve.     

Author Name :Dennis C. Prieve

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The Finite Element Method 5th Ed Vol 2

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route.Volume 1 of the Finite Element Method provides a complete introduction to the method and is essential reading for undergraduates, postgraduates and professional engineers. Volume 3 covers the whole range of fluid dynamics and is ideal reading for postgraduate students and professional engineers working in this discipline.Coverage of the concepts necessary to model behaviour, such as viscoelasticity, plasticity and creep, as well as shells and plates.Up-to-date coverage of new linked interpolation methods for shell and plate formations.New material on non-linear geometry, stability and buckling of structures and large deformations.     

Author Name :Zienkiewicz, O.C.; Taylor, R.L.

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The Finite Element Method 5th Ed Vol 1

In the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume 1: The Basis is intended as a broad overview of the Finite Element Method. Aimed at undergraduates, postgraduates and professional engineers, it provides a complete introduction to the method.Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.New material on recovery, accuracy, error estimates and adaptivity.Increased coverage of mixed and hybrid methods including the Discontinuous Galerkin and Enhanced Strain Methods.Expanded chapter on incompressible behaviour and stabilization procedures.     

Author Name :Zienkiewicz, O.C.; Taylor, R.L.

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Higher Order Finite Element Methods

The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-orderhp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and satisfy the overall trend of simultaneous resolution of phenomena with multiple scales.Higher-Order Finite Element Methodsprovides an thorough survey of intrinsic techniques and the practical know-how needed to implement higher-order finite element schemes. It presents the basic priniciples of higher-order finite element methods and the technology of conforming discretizations based on hierarchic elements in spacesH^1,H(curl) andH(div). The final chapter provides an example of an efficient and robust strategy for automatic goal-orientedhp-adaptivity.Although it will still take some time for fully automatichp-adaptive finite element methods to become standard engineering tools, their advantages are clear. In straightforward prose that avoids mathematical jargon whenever possible, this book paves the way for fully realizing the potential of these techniques and putting them at the disposal of practicing engineers.     

Author Name :Pavel Solin, Karel Segeth

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The Finite Element Method: Its Basis and Fundamentals 6th edition

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.The classic FEM text, written by the subject's leading authors.Enhancements include more worked examples and exercises, plus a companion website with a solutions manual and downloadable algorithms.With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems.Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations..     

Author Name :O.C. Zienkiewicz,R.L. Taylor, J.Z. Zhu

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Understanding And Implementing the Finite Element Method

The ?nite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the ?nite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. Understanding and Implementing the Finite Element Method includes a carefully documented collection of MATLAB programs implementing the ideas presented in the book. Readers will bene?t from a careful explanation of data structures and speci?c coding strategies and will learn how to write a ?nite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways to learn more about programming ?nite elements. This practical book should provide an excellent foundation for those who wish to delve into advanced texts on the subject, including advanced undergraduates and beginning graduate students in mathematics, engineering, and the physical sciences. Preface; Part I: The Basic Framework for Stationary Problems. Chapter 1: Some Model PDEs; Chapter 2: The weak form of a BVP; Chapter 3: The Galerkin method; Chapter 4: Piecewise polynomials and the finite element method; Chapter 5: Convergence of the finite element method; Part II Data Structures and Implementation. Chapter 6: The mesh data structure; Chapter 7: Programming the finite element method: Linear Lagrange triangles; Chapter 8: Lagrange triangles of arbitrary degree; Chapter 9: The finite element method for general BVPs; Part III: Solving the Finite Element Equations. Chapter 10: Direct solution of sparse linear systems; Chapter 11: Iterative methods: Conjugate gradients; Chapter 12: The classical stationary iterations; Chapter 13: The multigrid method; Part IV: Adaptive Methods. Chapter 14: Adaptive mesh generation; Chapter 15: Error estimators and indicators.     

Author Name :Mark S. Gockenbach

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Solutions manual for an introduction to the finite element method

This solution manual is prepared to aid the instructor in discussing the solutions to assigned problems in Chapters 1 through 14 from the book, An Introduction to the Finite Element Method, Third Edition, McGrawHill, New York, 2006. Computer solutions to certain problems of Chapter 8 (see Chapter 13 problems) are also included at the end of Chapter 8. The instructor should make an effort to review the problems before assigning them. This allows the instructor to make comments and suggestions on the approach to be taken and nature of the answers expected. The instructor may wish to generate additional problems from those given in this book, especially when taught time and again from the same book. Suggestions for new problems are also included at pertinent places in this manual.     

Author Name :J.N.Reddy

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Piping & pipeline calculations manual

The integrity of a piping system depends on the considerations and principles used in design, construction, and maintenance of the system. Piping systems are made of many components such as pipes, flanges, supports, gaskets, bolts, valves, strainers, flexibles, and expansion joints. These components can be made in a variety of materials, in different types and sizes, and may be manufactured to common national standards or according a manufacturers proprietary item. This book provides engineers and designers with a quick reference guide to the calculations, codes, and standards. The lack of commentary, or historical perspective, regarding the codes and standards requirements for piping design and construction is an obstacle to the designer, manufacturer, fabricator, supplier, erector, examiner, inspector, and owner who want to provide a safe and economical piping system. An intensive manual, this book will utilize hundreds of calculation and examples based on of 40 years of personal experiences of the author as both an engineer and instructor.     

Author Name :J. Phillip Ellenberger

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An introduction to the finite element method 2nd edition

This second edition has the same objective as the first, namely an introduction to the finite element method as applied to linear, one & two-dimensional problems of engineering and applied sciences. The revisions are mainly in the form of additional details , expansion of the topics discussed, and the addition of a few topics to make the coverage more complete.The major organizational change from the first edition is the division of its five chapters into fourteen chapters . These chapters are grouped into four parts. This re-organization should aid instructors in selecting suitable material for courses. Other organizational changes include putting problem sets at the end of chapters providing a chapter summary for each and reviewing pertitent equations and text in each chapter instead of referring to several chapters back.     

Author Name :J.N.Reddy

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Finite Element Method Programming With Mathematica

This report presents the first complete implementation of the Finite Element Method (FEM) using the Mathematica language. The report focuses on data structures, data flow and programming modules for linear structural mechanics.The material collected herein directly supports most of the syllabus of the course Finite Element Programming with Mathematica (ASEN 5519). The programming modules are also used to support computer homework in the course.     

Author Name :scribd publishing

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Mechanics Part Two - 2D Motion

The book is divided into 3 sections viz. projectiles, circular motion, relative motion.This book is the second of five parts entitled 'Mechanics'. Other books in the series are: Linear Motion, Kinetics, Momentum & Impulse, Statics.     

Author Name :Scribd Publishing

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Mathematics for Finance

This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.     

Author Name :Marek Capinski and Tomasz Zastawniak

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Prime Numbers

The recent spate of popular books on the Riemann hypothesis, which concerns the distribution of prime numbers and is the greatest unsolved math problem since Andrew Wiles solved Fermat's famous last theorem 10 years ago, augurs well for this directory from British author Wells (The Penguin Dictionary of Curious and Interesting Numbers). Arranged alphabetically, the text covers such topics as gaps between primes, Mersenne primes (primes of the form 2 to the nth power minus 1), palindromic primes, record primes (the largest "not of a special and easily tested form" as of 2003 has 10,000 digits), repunits (primes that consist exclusively of the digit 1), "sexy" primes (primes that differ by six) and twin primes. For James Bond fans, there's even mention of "007" primes. Mathematicians who contributed to prime number theory, including Leonhard Euler, G.H. Hardy and A.M. Legendre, receive separate entries. While some of the math is fairly sophisticated, lay readers will find plenty that's readily comprehensible. A bibliography and list of Web sites point the way for those wishing to explore primes in greater depth.     

Author Name :David Wells

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Numerical methods for engineers and scientists second edition

Presents a methodology for systematically constructing individual computer programs, emphasizing the finite difference approach for solving differential equations, and with new consideration for the finite element method. Each chapter includes FORTRAN programs for implementing algorithms, with more than 2600 mathematical expressions.     

Author Name :Joe D. Hoffman

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Numerical Analysis of Turbine Blade Cooling Ducts

The cooling of turbine blades in turbines is enhanced by providing the cooling ducts with ribs,so called turbulators It is investigated how these ribs inuence the heat transfer of the cooling air on the blades A model is given to study this problem such that it lends itself to a numerical approach A detailed discussion is given of the problem involved It is shown how the ideas are implemented in a numerical code The results of the simulations are assessed showing a practical way to test the quality of these cooling ducts.     

Author Name :M.J. Noot and R.M.M.Mattheij

No Of Visit :512      Posted Comments :

Introduction to classical mechanics

This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.     

Author Name :David Morin

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The mathematica book 5th edition

Mathematica has defined the state of the art in technical computing for nearly a decade, and has become a standard in many of the world's leading companies and universities. From simple calculator operations to large-scale programming and interactive document preparation, Mathematica is the tool of choice at the frontiers of scientific research, in engineering analysis and modeling, in technical education from high school to graduate school, and wherever quantitative methods are used.The Mathematica Book is the best-selling book on technical computing ever. This greatly expanded third edition presents for the first time Mathematica Version 3. As both highly readable tutorial and definitive reference, the book covers every aspect of the system. It is essential for all users, as well as for anyone interested in the revolutionary new ideas of Mathematica Version 3.     

Author Name :Stephen Wolfram

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Geometrical methods of mathematical physics

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.     

Author Name :Bernard F. Schutzi

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Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations

This 325-page textbook was written during 1985-1994 and used in graduate courses at MIT and Cornell on the numerical solution of partial differential equations.The book has not been completed, though half of it got expanded intoSpectral Methods in MATLAB. Nevertheless, the part of it that is written is in quite polished form, including many exercises, and is suitable for classroom use (and indeed has been used at quite a few universities). Copies are now available here for use by anyone who wishes. There is no restriction on this use, except that any copies must not alter the original text and must include the author's name.The files currently online are missing some tables, figures, and text that are not available in PostScript or are in copyright; alistof some of these omissions is available.     

Author Name :Lloyd N. Trefethen

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Finite difference methods for differential equations

Finite difference methods for differential equations by Randall J. LeVeque.     

Author Name :Randall J.LeVeque

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Engineering Mathematics, Fifth Edition

John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master.The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications.     

Author Name :John Bird

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Engineering Mathematics fourth edition

A comprehensive introduction to the core mathematics needed for engineering studies and practice.     

Author Name :JOHN BIRD

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Mathematical Methods for physicists

This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistical physics. It contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics. The highly organized coverage allows instructors to teach the basics in one semester. The book could also be used in courses in engineering, astronomy, and mathematics.     

Author Name :TAI L. CHOW

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Breakthroughs in Mathematics

The nine mathematicians whose works are represented in the following pages are among the most famous in the whole history of mathematics. Each of them made a significant contribution to the science-a contribution which changed the succeeding course of the development of mathematics. That is why we have called this book Breakthroughs in Mathematics. Just as surely as there are technological breakthroughs which change our way of living, so are there breakthroughs in the pure sciences which have such an impact that they affeet all succeeding thought.The mathematicians whose works we examine bridge a span of more than 2200 years, from Euclid, who lived and worked in Alexandria around 300 B.C., to Bertrand Russell, whose major mathematical work was accomplished in the fist years of the twentieth century. These nine chapters survey the major parts of mathematics; a great many of its branches are touched on. We shall have occasion to deal with geometry, both Euclidean and non-Euclidean, with arithmetic, algebra, analytic geometry, the theory of irrationals, set-theory, calculus of probability, and mathematical logic. Also, though this is a matter of accident, the authors whose works we study come from almost every important country in the West: from ancient Greece and Hellenistic Rome, Egypt, France, Germany, Great Britain, and Russia.     

Author Name :Peter Wolff

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A course in modern mathematicsl physics

Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert spaces. The book also includes exercises and proofed examples to test the students' understanding of the various concepts, as well as to extend the text's themes.     

Author Name :Peter Szekeres

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A textbook of Engineering Mathematics

This book has been revised exhaustively according to the global demands of the students.Attention has been taken to add minor steps between two unmanageable lines where essential so that the students can understand the subject matter without mental tire. A number of questions have been added in this edition besides theoretical portion wherever necessary in the book. Latest question papers are fully solved and added in their respective units. Literal errors have also been rectified which have been accounted and have come to our observation. Ultimately the book is a gift to the students which is now error free and user- friendly. Constructive suggestions, criticisms from the students and the teachers are always welcome for the improvement of this book.     

Author Name :H.S.Gangwar, Prabhakar Gupta

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Partial Differential Equations

This book considers the theory of partial differential equations as the language of continuous processes in mathematical physics. This is an interdisciplinary area in which the mathematical phenomena are reflections of their physical counterparts. The authors trace the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems--elliptic, parabolic, and hyperbolic--as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by students and researchers in applied mathematics and mathematical physics.     

Author Name :Isaak Rubinstein, Lev Rubinstein

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Equilibrium Models and Variational Inequalities

The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences. - Presents a unifying look on different equilibrium concepts and also the present state of investigations in this field - Describes static and dynamic input-output models, Walras, Cassel-Wald, spatial price, auction market, oligopolistic equilibrium models, transportation and migration equilibrium models - Covers the basics of theory and solution methods both for the complementarity and variational inequality problems - The methods are illustrated by applications and exercises to economic equilibrium models.     

Author Name :I.V.Konnov

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Handbook of Computational Methods for Integration

TheHandbook of Computational Methods for Integrationdiscusses quadrature rules for finite and infinite range integrals and their applications in differential and integral equations, Fourier integrals and transforms, Hartley transforms, fast Fourier and Hartley transforms, Laplace transforms and wavelets. The practical, applied perspective of this book makes it unique among the many theoretical books on numerical integration and quadrature. It will be a welcomed addition to the libraries of applied mathematicians, scientists, and engineers in virtually every discipline.     

Author Name :Prem K. Kythe

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Ordinary differential equations

Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily     

Author Name :Philip Hartman

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Polynomial Mappings

The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.     

Author Name :Wladyslaw Narkiewicz

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Modeling Complex Systems

This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.     

Author Name :Nino Boccara

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Essential Mathematical Methods for the Physical Sciences

The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/essential.     

Author Name :K. F. Riley,M. P. Hobson

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Mathematical Methods of Classical Mechanics

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.     

Author Name :V. I. Arnold

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Dynamical Systems

Apioneer in the field of dynamical systems created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides and MATLAB exercises. 2010 edition.     

Author Name :Shlomo Sternberg

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