Methods of Solving Nonstandard Problems

Author: Ellina Grigorieva
Publisher: Birkhäuser
ISBN: 3319198874
Format: PDF, Mobi
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This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.

Spectral Methods for Non Standard Eigenvalue Problems

Author: Călin-Ioan Gheorghiu
Publisher: Springer Science & Business
ISBN: 3319062301
Format: PDF, Docs
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This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions. The book is mathematical, poising problems in their proper function spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numerical ill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems. In addition, the book makes heavy use of the concept of pseudospectrum, which is highly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shear flows. This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The book can also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis.

Finite Mathematics for the Managerial Life and Social Sciences

Author: Soo T. Tan
Publisher: Cengage Learning
ISBN: 1337405787
Format: PDF, Docs
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Market-leading FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Twelfth Edition, balances contemporary applications, solid pedagogy, and the latest technology to provide students with content that motivates and keeps them interested in the course. Praised by users for its clarity, easy-to-follow writing style, and excellent applications, the text’s pedagogical features and exciting array of supplements equip students with the tools they need to make the most of their study time and succeed in the course. Using an intuitive approach, the text introduces mathematical concepts through real-life examples that students can relate to, and offers a clear and concise discussion of the mathematics involved, with numerous examples and applications that illustrate those concepts. Emphasis is placed on helping students formulate, solve, and interpret results of applied problems. Graphs and illustrations are used to help students visualize the concepts being presented. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Finite Mathematics

Author: Stefan Waner
Publisher: Cengage Learning
ISBN: 1337280429
Format: PDF, ePub
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Full of relevant, diverse, and current real-world applications that students can relate to, Waner and Costenoble's FINITE MATHEMATICS, Seventh Edition, helps your students see the relevance of mathematics in their lives. A large number of the applications are based on real, referenced data from business, economics, and the life and social sciences. Thorough, clearly delineated spreadsheet and TI Graphing Calculator instruction appears throughout the text, supplemented by an acclaimed author website that provides interactive tutorials, powerful utilities, conceptualization tools, review, and practice. The end-of-chapter Technology Notes and Technology Guides are optional, allowing you to include in your courses precisely the amount of technology instruction you choose. Acclaimed for accuracy and readability, FINITE MATHEMATICS appeals to, and is appropriate for, all types of teaching and learning styles. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Applied Non Linear Dynamical Systems

Author: Jan Awrejcewicz
Publisher: Springer
ISBN: 3319082663
Format: PDF, ePub
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The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.

Advances in the Applications of Nonstandard Finite Diffference Schemes

Author: Ronald E. Mickens
Publisher: World Scientific
ISBN: 9812564047
Format: PDF
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This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.

Computer Algebra in Scientific Computing

Author: Vladimir P. Gerdt
Publisher: Springer Science & Business Media
ISBN: 3642041027
Format: PDF, Mobi
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After a pause taken in 2008 (owed to the political situation in the Caucasus region where CASC 2008 was supposed to take place), CASC 2009 continued the series of international workshops on the latest advances and trends both in the methods of computer algebra and in applications of computer algebra systems (CASs) to the solution of various problems in scienti?c computing. The ten earlier CASC conferences, CASC 1998, CASC 1999, CASC 2000, CASC2001, CASC2002, CASC2003, CASC2004, CASC2005, CASC2006, and CASC 2007 were held, respectively, in St. Petersburg (Russia), in Munich (G- many), inSamarkand(Uzbekistan), inKonstanz(Germany), inYalta(Ukraine), in Passau (Germany), in St. Petersburg (Russia), in Kalamata (Greece), in Chi, sin? au(Moldova), andinBonn, Germany, andtheyallprovedtobesuccessful. Research in the area of computer algebra and its applications is being c- ducted actively in Japan. For example, during the years 2005-2007, at the CASC conferences, talks were presented by researchers from the University of Kobe, OsakaUniversity, YamaguchiUniversity, KyushuUniversity, Universityof Tsukuba, Waseda University, Cybernet Systems, Japan Science and Technology Agency, and several other institutions of Japan. In this connection, it was - cided to hold the CASC 2009 Workshop in Japan in the hope that it would help bring together non-JapaneseandJapaneseresearchersworkingboth in the areas of computer algebra (CA) methods and of various CA applications in natural sciences and engineering. The present volume contains revised versions of the papers submitted to the workshop by the participants and accepted by the Program Committee after a thorough reviewing process (each paper was reviewed by at least three referees).

Global Atmospheric Change and its Impact on Regional Air Quality

Author: Ian Barnes
Publisher: Springer Science & Business Media
ISBN: 9781402009587
Format: PDF, Kindle
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The NATO ARW in Irkutsk was an excellent occasion for the coming together of Eastern and Western scientists who are involved in tropospheric science; the workshop has greatly contributed to the scientific and social understanding among the participants from the many different countries. Many new personal contacts were made which will help to strengthen future collaborations. In particular, the Lake Baikal area and the Limnological Institute offer splendid opportunities for environmental research which, in part, is already on going. For most participants it was the first time to see the impressive nature of the Lake Baikal region. Hopefully, there will be a chance for a follow-up event in Siberia where researchers from the East and West can again meet and engage in fruitful scientific dialogue. The book contains extended abstracts of the lectures and the poster presentations presented at the NATO ARW "Global Atmospheric Change and its Impact on Regional Air Quality" Irkutsk, Lake Baikal, Russian Federation, August 21-27, 2001. The ARW was composed of 22 oral presentations by key lecturers and 6 additional shorter oral presentations from participants. In a special poster session the 36 poster contributions were presented and discussed. Unfortunately not all contributors submitted extended abstracts, however, to compensate two contributions have been added from 2 participants who were originally invited but were unable to attend.