Author: Isaac Barrow
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 248

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Book Description

Author: Gerd Faltings
Publisher: Princeton University Press
ISBN: 1400882478
Category : Mathematics
Languages : en
Pages : 118

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Book Description
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.

Author: Ariel Rubinstein
Publisher: Princeton University Press
ISBN: 1400842468
Category : Business & Economics
Languages : en
Pages : 167

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Book Description
Ariel Rubinstein's well-known lecture notes on microeconomics—now fully revised and expanded This book presents Ariel Rubinstein's lecture notes for the first part of his well-known graduate course in microeconomics. Developed during the fifteen years that Rubinstein taught the course at Tel Aviv University, Princeton University, and New York University, these notes provide a critical assessment of models of rational economic agents, and are an invaluable supplement to any primary textbook in microeconomic theory. In this fully revised and expanded second edition, Rubinstein retains the striking originality and deep simplicity that characterize his famously engaging style of teaching. He presents these lecture notes with a precision that gets to the core of the material, and he places special emphasis on the interpretation of key concepts. Rubinstein brings this concise book thoroughly up to date, covering topics like modern choice theory and including dozens of original new problems. Written by one of the world's most respected and provocative economic theorists, this second edition of Lecture Notes in Microeconomic Theory is essential reading for students, teachers, and research economists. Fully revised, expanded, and updated Retains the engaging style and method of Rubinstein's well-known lectures Covers topics like modern choice theory Features numerous original new problems—including 21 new review problems Solutions manual (available only to teachers) can be found at: http://gametheory.tau.ac.il/microTheory/.

Author: Samuel D. Lindenbaum
Publisher: World Scientific
ISBN: 9789810238391
Category : Science
Languages : en
Pages : 358

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Book Description
The chapters are not independent, but build on one another. Subjects range from the failures of classical theory to second quantization, including chapters on the Dirac theory and Feynman diagrams."--Pub. desc.

Author: John Erik Fornæss
Publisher: American Mathematical Soc.
ISBN: 9780821869499
Category : Mathematics
Languages : en
Pages : 264

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Book Description
Counterexamples are remarkably effective for understanding the meaning, and the limitations, of mathematical results. Fornaess and Stensones look at some of the major ideas of several complex variables by considering counterexamples to what might seem like reasonable variations or generalizations. The first part of the book reviews some of the basics of the theory, in a self-contained introduction to several complex variables. The counterexamples cover a variety of important topics: the Levi problem, plurisubharmonic functions, Monge-Ampere equations, CR geometry, function theory, and the $\bar\partial$ equation. The book would be an excellent supplement to a graduate course on several complex variables.

Author: Riccardo Benedetti
Publisher: American Mathematical Soc.
ISBN: 1470462710
Category : Education
Languages : en
Pages : 425

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Book Description
This book gives a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures with an emphasis on “bare hands” approaches, combining differential-topological cut-and-paste procedures and applications of transversality. In particular, the smooth cobordism cup-product is defined from scratch and used as the main tool in a variety of settings. After establishing the fundamentals, the book proceeds to a broad range of more advanced topics in differential topology, including degree theory, the Poincaré-Hopf index theorem, bordism-characteristic numbers, and the Pontryagin-Thom construction. Cobordism intersection forms are used to classify compact surfaces; their quadratic enhancements are developed and applied to studying the homotopy groups of spheres, the bordism group of immersed surfaces in a 3-manifold, and congruences mod 16 for the signature of intersection forms of 4-manifolds. Other topics include the high-dimensional h h-cobordism theorem stressing the role of the “Whitney trick”, a determination of the singleton bordism modules in low dimensions, and proofs of parallelizability of orientable 3-manifolds and the Lickorish-Wallace theorem. Nash manifolds and Nash's questions on the existence of real algebraic models are also discussed. This book will be useful as a textbook for beginning masters and doctoral students interested in differential topology, who have finished a standard undergraduate mathematics curriculum. It emphasizes an active learning approach, and exercises are included within the text as part of the flow of ideas. Experienced readers may use this book as a source of alternative, constructive approaches to results commonly presented in more advanced contexts with specialized techniques.

Author: Vančo Litovski
Publisher: Springer Nature
ISBN: 9819950953
Category : Technology & Engineering
Languages : en
Pages : 691

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Book Description
This book is mostly devoted to amplification of analogue signals. It covers different technologies (bipolar, MOS, and MES), and different frequency ranges but it always deals with small signals. Analogue signals processed in electronic system may have a wide variety of origins. Among them we have the signals coming from sensors (electro-mechanical, electro-magnetic, electro-chemical, electro-acoustic, electro-optical, etc.), the signals coming from antennas being produced by another electronic system or are simply cosmic produced, and signals that are generated within the electronic systems. The common property of most of the signals is their small amplitude. In many cases it is below a micro-volt. Since at the output of the system we most frequently need a high amplitude signal the main action undertaken in the electronic system before any further processing is to amplify.

Author: Isaac Newton
Publisher: Cambridge University Press
ISBN: 0521252482
Category : Biography & Autobiography
Languages : en
Pages : 650

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Book Description
The first volume of a three-volume complete edition of Newton's optical papers contains his Optical Lectures, delivered at Cambridge University between 1670 and 1672. The Lectures is Newton's first major scientific treatise, and consequently it represents a crucial link between his early years of discovery and his mature investigations and publications, such as the Optiks in 1704. It is divided into two parts: the first part devoted to color and the second to refraction. Originally published in 1984, this edition made available the complete text, together with translation and commentary, of both surviving versions of the Lectures, a draft and a vastly expanded revision. Until the time of publication, scholars had to depend on an uncritical text of the revision and an inadequate partial English translation, both published shortly after Newton's death. Professor Shapiro's critical edition has made a great contribution to the study of Newtonian science.

Author: Nicola Bellomo
Publisher: World Scientific
ISBN: 9814500844
Category : Science
Languages : en
Pages : 273

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Book Description
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

Author: Clarkson College of Technology
Publisher:
ISBN:
Category :
Languages : en
Pages : 302

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Book Description