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by T. a. Springer (Author)"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study...the author [has a] student-friendly style... [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature...appea...
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by Neil Chriss (Author), Victor Ginzburg (Author)"The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups...An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results [are] due to the authors, one finds some of the original excitement. This is the only available introduction to geometric...
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by Christoph Lehner (Editor), Jürgen Renn (Editor), Matthias Schemmel (Editor)Introduction.- Part I: At the Limits of the Classical Worldview.- Theories of Gravitation in the Twilight of Classical Physics / J. Renn and M. Schemmel.- The Newtonian Theory of Light Propagation / J. Eisenstaedt.- Mach and Einstein, or, Clearing Troubled Waters in the History of Science / G. Wolters.- Part II: Contexts of the Relativity Revolution.- Tilling the Seedbed of Einstein's Politics: A Pre-1905 Harbinger?...
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by Ole Christensen (Author)This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the co...
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by Carlos S. Kubrusly (Author){\it Elements of Operatory Theory} is largely self-contained and geared towards graduate students, mathematicians and scientists who need to apply operator theory to their field. Written in a user- friendly, motivating style, fundamental topics are presented systematically, i.e, set theory, algebraic structures, topological structures, Banach spaces, Hilbert Spaces, culminating with the Spectral Theorem. The exposition is concept-driven and avoids the formula-com...
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by Alexander Soifer (Editor)This book explores the theory's history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians a...
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by Titu Andreescu (Author), Bogdan Enescu (Author)Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to appl...
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by John Snygg (Author)Differential geometry is the study of the curvature and calculus of curves and surfaces. The conceptual complications introduced by a multitude of spaces and mappings normally required in the study of differential geometry usually postpones the topic to graduate-level courses. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an undergraduate level of differential geometry by introducing Clifford algebra. This present...
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by W. D. Wallis (Author)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 tex...
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by Philip Davis (Author), Reuben Hersh (Author), Elena Anne Marchisotto (Author)Winner of the 1983 National Book Award!"...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition)Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are profess...
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by David Bachman (Author)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. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept i...
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by Mariano Giaquinta (Author), Giuseppe Modica (Author)Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory.The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domai...
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by Sidney I. Resnick (Author)Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, ap...
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by Titu Andreescu (Author), Dorin Andrica (Author)Complex Numbers from A to ...Z is an introduction to this fascinating subject, with a particular emphasis on key concepts and elementary results concerning these numbers. The reader learns how complex numbers may be used to solve algebraic equations as well as the geometric interpretation of complex numbers and the operations involving them.The theoretical parts of the book are augmented with rich exercises and problems at various levels of di...
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by Dale S. Davis (Editor), Raymond A. Kulwiec (Author)2nd Edition, Revised and Enlarged. - CONTENTS -; 1. Flow of Fluids 9 - Flow of Mercury-Flow of Steam, Air, and Other GasesRelated Topics: Hydrostatic Heads, Equivalent Diameters, Hydraulic Radius, Pressure Drops, Viscous Flow, Rotameters, Fluidizing-Flow of Water through Pipes and Valves and Over Weirs-Flow of Chemicals in Solution Orifice Flow;; 2. Some Aspects of Heat 59 - Heat Transfer Coefficients-Losses-Heat ContentsSpecific Heats-Res...
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by Susan H. Gray (Author)Each module chapter contains a review of the most important material from previous chapters. Each unit provides a clear, nonstatistical explanation of any symbols appearing in the formulas for that chapter. Each chapter reviewing hypothesis-testing procedures contains its own distribution tables. Other special features include: an illustrative excercise reviewed with each statistical technique introduced, review questions included in each chapter, and step-by-step pro...
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by Barbara Herrnstein Smith (Editor), Arkady Plotnitsky (Editor)Mathematics, Science, and Postclassical Theory is a unique collection of essays dealing with the intersections between science and mathematics and the radical reconceptions of knowledge, language, proof, truth, and reality currently emerging from poststructuralist literary theory, constructivist history and sociology of science, and related work in contemporary philosophy. Featuring a distinguished group of international contribu...
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by Joan Van Glabek (Author)This text aims to help the student pass quizes, tests and exams. The reader can use Test Yourself books to check their knowledge of a subject and pinpoint exactly the areas in which they need more help.Back JacketTest Yourself in Introduction to Calculus features sample tests for the following topics: Algebra Review; Functions and Limits; Derivatives; Applications of Derivatives; Integrals and Applications of Integration. Number of Pages: 192 Dimensions: 0.62 x 10.9...
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by Alberto A. Martinez (Author)In this follow-up to his popular Science Secrets, Alberto A. Martínez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories are partly t...
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by Matthew Handelman (Author)During the Weimar Republic, mathematics provided Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer - friends and forerunners of the Frankfurt School - with tools to navigate the crises of modernity. This study explores the histories of mathematics at the origin of critical theory and shows the enduring relevance of mathematics for critical thought. Back Jacket"Against the familiar lament that the inappropriate application of mathematical reasoning abets so...
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by Melvin Dresher (Author)This classic work, originally published in 1961, was written by Melvin Dresher, a RAND research mathematician, during the heyday of game theory research at RAND. The book introduces readers to the basic concepts of game theory and its applications for military, economic, and political problems, as well as its usefulness in decisionmaking in businesFront JacketClassic work from 1961 discusses basic concepts of game theory and its applications for military, economic, a...
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by Peter Bedson (Author), Trevor J. Duguid Farrant (Author)Analytical chemists must use a range of statistical tools in their treatment of experimental data to obtain reliable results. Practical Statistics for the Analytical Scientist is a manual designed to help them negotiate the daunting specialist terminology and symbols. Prepared in conjunction with the Department of Trade and Industry's Valid Analytical Measurement (VAM) programme, this volume covers the basic statistics needed in the l...
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by Eamonn Mullins (Author)This book provides a sound introduction to the use of statistical methods in analytical chemistry, without requiring a strong mathematical background.Back JacketStatistical methods are essential tools for analysts, particularly those working in Quality Control Laboratories. This book provides a sound introduction to their use in analytical chemistry, without requiring a strong mathematical background. It emphasises simple graphical methods of data analysis, such as c...
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by Manfred Einsiedler (Author), Thomas Ward (Author)Motivation.- Ergodicity, Recurrence and Mixing.- Continued Fractions.- Invariant Measures for Continuous Maps.- Conditional Measures and Algebras.- Factors and Joinings.- Furstenberg's Proof of Szemeredi's Theorem.- Actions of Locally Compact Groups.- Geodesic Flow on Quotients of the Hyperbolic Plane.- Nilrotation.- More Dynamics on Quotients of the Hyperbolic Plane.- Appendix A: Measure Theory.- Appendix B: Functional Analysis.- Appendix C...
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by Viorel Barbu (Author)Stabilization of Navier-Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier-Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. The analysis developed here provides a rigorous pattern for the design of efficien...
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by Jiří Gregor (Author), Jaroslav Tiser (Author)The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from ...
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by Jeremy Gray (Author)Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker's equations) and their role in resolving a paradox in the theory of duality; to Riemann's work on differ...
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by Marek Capiński (Author), Tomasz Zastawniak (Author)Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz portfolio optimisation and Capital Asset Pricing Model, and basic stochastic interest rate models i...
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by John Vince (Author)Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations tha...
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by John Vince (Author)Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their inventi...
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by Michèle Audin (Author)Sofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today. This memoir, written by a mathematician who specialises in symplectic geometry and integrable systems, is a personal exploration of the life, the writings and the mathematical ach...
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by Marshall Clagett (Author)This volume, the first of three volumes describing the major facets of Ancient Eygptian Science, concentrates on the origin and development of hieroglyphic writing, the scribal profession, the quasi-learned institutions in anciant Egypt. Professor Clagett has paid particular attention to the so-called Palermo Stone, the earliest annals composed in Egypt. This book is Tome Two of the two-part Volume 1. Number of Pages: 464 Dimensions: 0.94 x 10...