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With equal emphasis on intuition and formalism, this text provides a unified, comprehensive, and coherent introduction to continuum physics that requires only some Newtonian mechanics and modest mathematical prerequisites that are further developed in the text. Based on the author's years of teaching the subject, the book is highly structured and useful on several tracks: as the main text for a course on continuum physics or as the foundation for courses on more specialized areas, such as solid mechanics, fluid mechanics, geophysics, and astrophysics. It contains all the usual features of a textbook: plenty of illustrations, problem sets with solutions, and an introduction to numerical simulations. OTIs OTI 1 IP177

Physics --- Field theory (Physics) --- Field theory (Physics).

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Field programmable gate arrays

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bryophytes --- Europe --- Sphagnum --- field keys

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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. --- Mathematics --- Mathematical analysis --- Field theory (Physics). --- Field Theory and Polynomials. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics

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Quantum field theory has undergone extraordinary developments in the last few decades and permeates many branches of modern research such as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments in a manner which assumes no previous knowledge of quantum field theory, and makes it readily accessible from the advanced undergraduate level upwards.

Quantum field theory. --- Mathematical physics. --- Physical mathematics --- Physics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Mathematics --- Quantum field theory