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Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text. For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder's proof of the Mason-Stothers polynomial abc theorem. About the First Edition: The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there. - Hideyuki Matsumura, Zentralblatt
Algebra --- Classical mechanics. Field theory --- algebra --- mechanica
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This book comprehensively reflects the summary of theoretical and experimental studies whose conclusions are effective for optimized structural synthesis in precision elasticity, as well as demonstrates a large experience and options in the synthesis and application of precision elastic guides, mechanisms, correctors, transducers, elastic helicoids, and sensors in instruments and machines including their miniaturization for atomic force microscopy and other advanced solutions. The main focus of this book is in the possible simplification of the corresponding analytical apparatus. This tractable and digestible approach allows for increase of accuracy, sensitivity, responsiveness, and functional ranges in the synthesized precision elastic systems.
Classical mechanics. Field theory --- Fluid mechanics --- mechanica
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Algebra --- Classical mechanics. Field theory --- algebra --- mechanica
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Classical mechanics. Field theory --- toegepaste mechanica --- mechanica
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Classical mechanics. Field theory --- Thermodynamics --- thermodynamica --- mechanica
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