Conceptual Problems of Quantum Gravity Birkhauser Boston Inc

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Sponsored by the Boston U. Center for Einstein Studies, this meeting was held in North Andover, Mass., May 1988. Topics include quantum mechanics and measurement, time in quantum gravity, strings and gravity, quantization of gravity, topology and black holes in quantum gravity by Hartle, Isham, Zure

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Software-Defined GPS and Galileo Receiver Birkhauser Boston Inc

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This book explore the use of new technologies in the area of satellite navigation receivers. The presentation unfolds in a user-friendly style and goes from the basics to cutting-edge research.

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Introduction to the Commodore 64 Birkhauser Boston Inc

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Micropolar Fluids Birkhauser Boston Inc

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Micropolar fluids are fluids with microstructure belonging to a class of fluids with nonsymmetrical stress sensor referred to as polar fluids. Physically, they represent fluids consisting of randomly oriented particles suspended in a viscous medium, and they are important to engineers and scientists working with hydrodynamic-fluid problems and phenomena.§The goal of this volume is to provide a comprehensive exposition of the principles and methods of micropolar fluids for a broad readership in the science and engineering of fluid mechanics. Organized into three parts, the first part of the book presents the basic model of micropolar fluids, with necessary background information. Provided in the second part is a thorough presentation of the analysis of the mathematics of motion of micropolar fluids, with many detailed examples. Some select and important applications in the topics of lubrication theory and porous media are discusssed in the third part.§Topics and Features:§Comprehensive and unified view of the subject, with clear foundations for the basic model§Chapter exercises and carefully chosen examples to reinforce the material§Coverage of numerical algorithm for behavior of micropolar fluids in a bounded domain§Discussions of exact solutions for microrotation and velocity fields for some classical fluids flows§This study serves as an up-to-date and comprehensive reference for mathematicians, scientists, and engineers. Micropolar Fluids is an essential resource for anyone wishing to understand and needing to use concepts and methods when working with the hydrodynamics of miropolar fluids.§

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Fundamentals of Multibody Dynamics Birkhauser Boston Inc

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Because of its versatility in analyzing a broad range of applications, multibody dynamics has grown in the past two decades to be an important tool for designing, prototyping, and simulating complex articulated mechanical systems. This textbook brings together diverse concepts and bridges the gap between dynamics and engineering applications such as microrobotics, virtual reality simulation of interactive mechanical systems, nanomechanics, flexible biosystems, crash simulation, and biomechanics.§The book puts into perspective the importance of modeling in the dynamic simulation and problem solving in the above-mentioned fields. Facilitating the understanding of rigid- body dynamics, the author presents a compiled overview of particle dynamics and Newton s second law of motion. A particular strength of the book is its use of matrices to generate kinematic coefficients that help formulate the governing equations of motion.

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Trigonometry Birkhauser Boston Inc

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In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers.

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Beginner's Guide to Discrete Mathematics Birkhauser Boston Inc

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Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. Choice reviews (Review of the First Edition) §Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. Zentralblatt Math (Review of the First Edition) §This second edition of A Beginner s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications.§Key Features of the second edition:§Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book§Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers§Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter§Full solutions for practice problems are provided at the end of the book§This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students. Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. Choice reviews (Review of the First Edition) §Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. Zentralblatt Math (Review of the First Edition) This second edition of A Beginner s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications.§Key Features of the second edition:§Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book§Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers§Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter§Full solutions for practice problems are provided at the end of the book§This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.§This second edition of A Beginner s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications.§Key Features of the second edition:§Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book§Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers§Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter§Full solutions for practice problems are provided at the end of the book§This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.

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Algebra Birkhauser Boston Inc

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This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

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Mathematical Olympiad Challenges Birkhauser Boston Inc

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This signficantly revised and expanded second edition of Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.§New to the second edition:§§ Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples§§ Many new or expanded examples, problems, and solutions§§ Additional references and reader suggestions have been incorporated§§Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, professional teacher development seminars and workshops, self-study, or as a training resource for mathematical competitions. §§This [book] is much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into mastery . The book is aimed at motivated high school and beginning college students and instructors...I strongly recommend this book for anyone interested in creative problem-solving in mathematics . It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure. The Mathematical Gazette (Review of the First Edition)

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Geometric Approach to Differential Forms Birkhauser Boston Inc

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This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms.

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Mathematical Olympiad Treasures Birkhauser Boston Inc

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Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems.§Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

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Set Theory Birkhauser Boston Inc

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This book presents classical set theory in an intuitive, concrete manner. It includes many examples of the use of set theory in topology, analysis, and algebra, as well as provides extensive problem sets for practice and challenge.§

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Essential Linear Algebra with Applications Birkhauser Boston Inc

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Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience. Instead, it clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science.Key features: Intertwined discussion of linear algebra and geometry Example-driven exposition each section starts with a concise overview of important concepts, followed by a selection of fully-solved problems Over 500 problems are carefully selected for instructive appeal, elegance, and theoretical importance; roughly half include complete solutions Two or more solutions provided to many of the problems; paired solutions range from step-by-step, elementary methods whose purpose is to strengthen basic comprehension to more sophisticated, powerful proofs to challenge advanced readers Appendices with review material on complex variablesIdeal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level It can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, this work is;a natural bridge between pure/ applied mathematics and the natural/social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject's hallmark.

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Linear Systems Primer Birkhauser Boston Inc

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Based on a streamlined presentation of the authors successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Each chapter includes summaries, notes, references, and exercises at the end.

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New Approach to Differential Geometry using Clifford's Geometric Algebra Birkhauser Boston Inc

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This comprehensive textbook simplifies the discussion of differential geometry to an accessible level by introducing Clifford algebra. It includes chapter-by-chapter exercises, and provides a rare undergraduate-level approach to the subject matter.

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