Introduction to Probability Models, Sixth Edition by Sheldon M. Ross PDF

Product Details:

Author(s): Sheldon M. Ross

Publisher: Academic Press

Category: Mathematics

Date: 17.02.1997

Pages: 669

Language: English

ISBN-10: 125984707

ISBN-13: 9780130000000

Format: pdf

Book Description:

Product Description: The Sixth Edition of this very successful textbook, Introduction to Probability Models, introduces elementary probability theory and stochastic processes. This book is particularly well-suited for those who want to see how probability theory can be applied to the study of phenomena in fields such as engineering, management science, the physical and social sciences, and operations research. The Sixth Edition includes additional exercises in every chapter and a new appendix with the answers to approximately 100 of the included exercises from throughout the text. Markov Chain Monte Carlo methods are presented in an entirely new section, along with new coverage of the Markov Chain cover times. New material will also be featured on K-records values and Ignatov s theorem. This book is a worthwhile revision of Ross s classic text. Presents new material in every chapter Contains examples relating to: Random walks on circles The matching rounds problem The best prize problem K-records values Ignatovs theorem Includes approximately 570 exercises Provides a built-in student solution manual in the appendix for 100 of the exercises from throughout the book An instructors manual, containing solutions to all exercises, is available free of charge for instructors who adopt the book for their classes

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Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition by Jane Cronin PDF

Product Details:

Author(s): Jane Cronin

Publisher: --

Category: Mathematics

Date: 14.12.2007

Pages: 408

Language: English

ISBN-10: 824723376

ISBN-13: 9780820000000

Format: PDF

Book Description:

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology. This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincare method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincare method.

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From Newton to Hawking: A History of Cambridge University's Lucasian Professors of Mathematics by Richard Noakes, Kevin C. Knox PDF

Product Details:

Author(s): Richard Noakes, Kevin C. Knox

Publisher: --

Category: Mathematics

Date: 2003

Pages: 1

Language: English

ISBN-10: 521663105

ISBN-13: --

Format: PDF

Book Description:

Cambridge University s Lucasian Professorship of Mathematics is one of the most celebrated academic positions in the world. Since its foundation in 1663, the chair has been held by seventeen men who represent some of the best and most influential minds in science and technology. Principally a social history of mathematics and physics, the story of these great natural philosophers and mathematical physicists is told here by some of the finest historians of science. The journey begins with the search for a benefactor able to establish a mathematicus professor honorarius , and travels through the life and work of the professors, exploring aspects from the heroic to the absurd. Covering both the great similarities and the extreme differences in mathematical physics over the last four centuries, this informative work offers interesting perspectives on world-famous scientists including Isaac Newton, Charles Babbage, G. G. Stokes, Paul Dirac and Stephen Hawking.

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Essential Primary Mathematics by Caroline Rickard PDF

Product Details:

Author(s): Caroline Rickard

Publisher: --

Category: Mathematics

Date: 01.05.2013

Pages: 338

Language: English

ISBN-10: 335247024

ISBN-13: 9780340000000

Format: PDF

Book Description:

If you are teaching or learning to teach primary mathematics, this is the toolkit to support you! Not only does it cover the essential knowledge and understanding that you and your pupils need to know, it also offers 176 great ideas for teaching primary mathematics - adaptable for use within different areas of mathematics and for different ages and abilities. Tackling childrens misconceptions in each topic area and differentiation through open-ended tasks and elements of choice, the book encourages you to think deeply about the teaching of the primary mathematics curriculum. The classroom activities, which are simple to resource and use, support you in meeting the Teachers Standards securely and encourage children to: Think deeply about mathematics and to challenge themselves Develop mathematical independence Engage in mathematical talk Work collaboratively with others to further understanding Whether you are just getting started in your teaching career or more experienced you will find a wealth of innovative activities to support you in teaching primary mathematics in effective and creative ways. This book is an absolute must for every primary teacher. The perfect blend of subject knowledge, common misconceptions, pupil activities and self-assessment questions will support all those who are feeling slightly less than confident about teaching a mathematical topic. It will also be invaluable to experienced teachers and subject leaders who wish to think more deeply about how to teach mathematics effectively. Sue Davis, Primary PGCE Course Leader and Lecturer in Mathematics Education, University of Leicester, UK This book has the conversational style of an excellent mentor and/or tutor of primary mathematics. It offers advice and guidance on how to be an effective teacher of mathematics whilst still drawing the readers attention to the importance of developing good subject knowledge, and how this can be addressed. Mathematical concepts are explained with reference to their theoretical underpinning and are then set in the context of real learning opportunities that illustrate good pedagogy. There is a real emphasis on teaching for learning, and this is most evident in the introductory chapter which provides a brief discussion of the big issues currently being debated in the field of primary mathematics. The consistent format of the subject chapters supports the readers ability to plan and teach a wide range of appropriate activities based on rich mathematics. These are all neatly illustrated by childrens drawings which bring the book to life.This is an all encompassing text for any student or teacher of mathematics and will feature on my highly recommended reading list. Paula Stone, Senior Lecturer Primary Education (Mathematics), Canterbury Christ Church University, UK

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Foundations of Game Theory: Noncooperative Games by Nicolai N. Vorob'ev PDF

Product Details:

Author(s): Nicolai N. Vorob'ev

Publisher: --

Category: Mathematics

Date: 24.10.2012

Pages: 496

Language: English

ISBN-10: 303489659X

ISBN-13: 9783030000000

Format: pdf

Book Description:

3764323787 This work is intended to be studied by mathematicians seeking an introductory textbook on game theory. It is self-contained and clearly written, requiring from the reader only a general mathematical background in calculus, fixed-point theory, linear algebra and probability theory.

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Introduction to Lie Algebras (Springer Undergraduate Mathematics Series) by K. Erdmann PDF

Product Details:

Author(s): K. Erdmann

Publisher: --

Category: Mathematics

Date: 04.04.2006

Pages: 251

Language: English

ISBN-10: 1846280400

ISBN-13: 9781850000000

Format: pdf

Book Description:

Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right.

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Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations by Jozef Banas PDF

Product Details:

Author(s): Jozef Banas

Publisher: --

Category: Mathematics

Date: 20.07.2014

Pages: 315

Language: English

ISBN-10: 813221885X

ISBN-13: 9788130000000

Format: pdf

Book Description:

This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.

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First Course in Functional Analysis by Casper Goffman PDF

Product Details:

Author(s): Casper Goffman

Publisher: --

Category: Mathematics

Date: 1965-06

Pages: 282

Language: English

ISBN-10: 133183866

ISBN-13: 9780130000000

Format: DJVU

Book Description:

This second edition includes exercises at the end of each chapter, revised bibliography, references and index.

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Hyperbolic Geometry(2nd edition) by James Anderson PDF

Product Details:

Author(s): James Anderson

Publisher: --

Category: Mathematics

Date: 10.10.2008

Pages: 276

Language: English

ISBN-10: 1852339349

ISBN-13: 9781850000000

Format: PDF

Book Description:

Thoroughly updated, featuring new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity Includes full solutions for all exercises Successful first edition sold over 800 copies in North America

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Calculus II (For Dummies) by Mark Zegarelli PDF

Product Details:

Author(s): Mark Zegarelli

Publisher: For Dummies

Category: Mathematics

Date: 03.06.2008

Pages: 384

Language: English

ISBN-10: 047022522X

ISBN-13: 9780470000000

Format: pdf

Book Description:

Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.

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Math Motivators!: Investigations in Geometry (Mathematics Motivators) by Alfred S. Posamentier PDF

Product Details:

Author(s): Alfred S. Posamentier

Publisher: Addison Wesley Publishing Company

Category: Mathematics

Date: 1982-01

Pages: 76

Language: English

ISBN-10: 020105583X

ISBN-13: 9780200000000

Format: pdf

Book Description:

Investigations in Geometry is a set of versatile enrichment exercises that covers a wide variety of topics in geometry - Euclidean, post-Euclidean, and non-Euclidean. These investigations provide opportunities and incentives to hone problem-solving skills.

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Stochastic Partial Differential Equations: An Introduction by Wei Liu PDF

Product Details:

Author(s): Wei Liu

Publisher: --

Category: Mathematics

Date: 04.12.2015

Pages: 266

Language: English

ISBN-10: 3319223534

ISBN-13: 9783320000000

Format: pdf

Book Description:

This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability theory with several wide ranging applications. Many types of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. The theory of SPDEs is based both on the theory of deterministic partial differential equations, as well as on modern stochastic analysis. Whilst this volume mainly follows the variational approach, it also contains a short account on the semigroup (or mild solution) approach. In particular, the volume contains a complete presentation of the main existence and uniqueness results in the case of locally monotone coefficients. Various types of generalized coercivity conditions are shown to guarantee non-explosion, but also a systematic approach to treat SPDEs with explosion in finite time is developed. It is, so far, the only book where the latter and the locally monotone case is presented in a detailed and complete way for SPDEs. The extension to this more general framework for SPDEs, for example, in comparison to the well-known case of globally monotone coefficients, substantially widens the applicability of the results. In addition, it leads to a unified approach and to simplified proofs in many classical examples. These include a large number of SPDEs not covered by the globally monotone case, such as, for exa mple, stochastic Burgers or stochastic 2D and 3D Navier-Stokes equations, stochastic Cahn-Hilliard equations and stochastic surface growth models. To keep the book self-contained and prerequisites low, necessary results about SDEs in finite dimensions are also included with complete proofs as well as a chapter on stochastic integration on Hilbert spaces. Further fundamentals (for example, a detailed account on the Yamada-Watanabe theorem in infinite dimensions) used in the book have added proofs in the appendix. The book can be used as a textbook for a one-year graduate course.

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Tribute to a Mathemagician by Barry Cipra, Erik D. Demaine, Martin L. Demaine and Tom Rodgers PDF

Product Details:

Author(s): Barry Cipra, Erik D. Demaine, Martin L. Demaine and Tom Rodgers

Publisher: A K Peters/CRC Press

Category: Mathematics

Date: 10.11.2004

Pages: 350

Language: English

ISBN-10: 1568812043

ISBN-13: 9781570000000

Format: djyu

Book Description:

Product Description: The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume -virtually a list of Who s Who in the World of Puzzles -trace their inspiration to Martin Gardner s puzzle column in Scientific American and to his contributions to the world of recreational mathematics. Tribute to a Mathemagician contains an author index for the two previous books in the collection of books based on the Gatherings for Gardner. Sample puzzles and games include: - Tripos - Black Jack - Chinese ceramic puzzle vessels - Paper folding - Mongolian interlocking puzzles - Rolling block puzzles - Sliding puzzles - Cryptic crosswords - The Panex puzzle - Polyonimo puzzles - and more

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An Introduction to Dynamical Systems by D. K. Arrowsmith PDF

Product Details:

Author(s): D. K. Arrowsmith

Publisher: Cambridge University Press

Category: Mathematics

Date: 27.07.1990

Pages: 432

Language: English

ISBN-10: 521316502

ISBN-13: 9780520000000

Format: pdf

Book Description:

Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit chaotic behavior. The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar maps. The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. The text contains many worked examples and exercises, many with hints. It will be a valuable first textbook for senior undergraduate and postgraduate students of mathematics, physics, and engineering.

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Optimization in Practice with MATLAB: For Engineering Students and Professionals by Achille Messac PDF

Product Details:

Author(s): Achille Messac

Publisher: --

Category: Mathematics

Date: 23.03.2015

Pages: 494

Language: English

ISBN-10: 1107109183

ISBN-13: 9781110000000

Format: AZW3/EPUB/PDF

Book Description:

Optimization in Practice with MATLAB® provides a unique approach to optimization education. It is accessible to both junior and senior undergraduate and graduate students, as well as industry practitioners. It provides a strongly practical perspective that allows the student to be ready to use optimization in the workplace. It covers traditional materials, as well as important topics previously unavailable in optimization books (e.g., Numerical Essentials - for successful optimization). Written with both the reader and the instructor in mind, Optimization in Practice with MATLAB® provides practical applications of real-world problems using MATLAB®, with a suite of practical examples and exercises that help the students link the theoretical, the analytical, and the computational in each chapter. Additionally, supporting MATLAB® m-files are available for download via www.cambridge.org.messac. Lastly, adopting instructors will receive a comprehensive solution manual with solution codes along with lectures in PowerPoint with animations for each chapter, and the s unique flexibility enables instructors to structure one- or two-semester courses.

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Boundaries of a Complex World by Andrei Ludu PDF

Product Details:

Author(s): Andrei Ludu

Publisher: --

Category: Mathematics

Date: 24.03.2016

Pages: 361

Language: English

ISBN-10: 3662490765

ISBN-13: 9783660000000

Format: PDF

Book Description:

The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text also addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.

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