The University of Chicago. On Multiform Solutions of Linear Differential Equations Having Elliptic Function Coefficients, a Dissertation... for the Degree of Doctor of Philosophy (department of Mathematics), by Wilson Lee Miser... PDF Download

Author: Wilson Lee Miser
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : en
Pages : 30

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Author: Wilson Lee Miser
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Xerox University Microfilms
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 856

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Author: Kazuya Kato
Publisher: American Mathematical Soc.
ISBN: 9780821808634
Category : Mathematics
Languages : en
Pages : 180

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This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Author: Fabrice Bethuel
Publisher: Birkhäuser
ISBN: 3319666738
Category : Mathematics
Languages : en
Pages : 188

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This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ɛ has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as ɛ tends to zero. One of the main results asserts that the limit u-star of minimizers uɛ exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree – or winding number – of the boundary condition. Each singularity has degree one – or as physicists would say, vortices are quantized. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.

Author: John Locker
Publisher: American Mathematical Soc.
ISBN: 0821820494
Category : Mathematics
Languages : en
Pages : 266

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Develops the spectral theory of an nth order non-self-adjoint two- point differential operator L in the complex Hilbert space L2[0,1]. The differential operator L is determined by an nth order formal differential l and by n linearly independent boundary values B1,.,Bn. Locker first lays the foundations of the spectral theory for closed linear operators and Fredholm operators in Hilbert spaces before developing the spectral theory of the differential operator L. The book is a sequel to Functional analysis and two-point differential operators, 1986. Annotation copyrighted by Book News, Inc., Portland, OR.

Author: Max Halley
Publisher: Bonnier Publishing Ltd.
ISBN: 1911600842
Category : Cooking
Languages : en
Pages : 304

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Book Description
THE SUNDAY TIMES BESTSELLER AS SEEN ON SUNDAY BRUNCH "GENIUS ... CHANGED THE WAY I'M GOING TO EAT FROM NOW ON ... THESE SANDWICHES ARE EPIC!" THE HAIRY BIKERS Max's Sandwich Book is the ultimate guide to creating perfection between two slices of bread. Max Halley owns Britain's most amazing sandwich shop. After working in some of the country's best restaurants, he realised that the sandwich, humanity's greatest invention, was due a renaissance. So Max decided to open his own place and reinvent the sandwich forever. Inside this book you will find: · Award-winning creations from his shop · Inspired variations on classic sandwiches · Brilliant, delicious ways to use your leftovers · Sandwiches for breakfast · Sandwiches for dinner · Sandwiches for dessert · And more than 100 recipes for making your own ingenious creations at home. Ham, Egg & Chips never tasted so good. Max is the owner of Max's Sandwich Shop in Crouch End, winner of the Observer Food Monthly Award for Best Cheap Eat in 2015. "Amazing" Russell Norman, author of Polpo "Max is a sensation!" Meera Sodha "The Ham, Egg & Chips is the best sandwich I've ever eaten in my life" Simon Rimmer, Sunday Brunch "Very, very good" Evening Standard

Author: Bernard Dacorogna
Publisher: Springer Science & Business Media
ISBN: 9780817641214
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

Author: Michael Renardy
Publisher: Springer Science & Business Media
ISBN: 0387216871
Category : Mathematics
Languages : en
Pages : 447

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Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Author: Anne Stibbs
Publisher: Bloomsbury Pub Limited
ISBN: 9780747550754
Category : Games
Languages : en
Pages : 423

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Book Description
An aid to solving crosswords. It contains over 100,000 potential solutions, including plurals, comparative and superlative adjectives, and inflections of verbs. The list extends to first names, place names and technical terms, euphemisms and compound expressions, as well as abbreviations.