Complex Analysis

Author: Eberhard Freitag,Rolf Busam
Publisher: Springer Science & Business Media
ISBN: 3540939830
Category: Mathematics
Page: 532
View: 4102
All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order

Author: N.A
Publisher: Elsevier
ISBN: 9780080956206
Category: Mathematics
Page: 322
View: 5850
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering


Author: Eberhard Freitag,Rolf Busam
Publisher: N.A
ISBN: 9780387506180
Page: N.A
View: 1171

The Many Facets of Geometry

A Tribute to Nigel Hitchin
Author: Nigel J. Hitchin,Oscar Garcia-Prada,Jean Pierre Bourguignon,Simon Salamon
Publisher: Oxford University Press
ISBN: 0199534926
Category: Mathematics
Page: 434
View: 7746
Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry,Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. The chapters in this fascinating volume, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety ofsubjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid, with some additional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.

Algebra für Einsteiger

Author: Jörg Bewersdorff
Publisher: American Mathematical Soc.
ISBN: 0821838172
Category: Mathematics
Page: 180
View: 5422
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed.Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting an angle, and the construction of regular $n$-gons are also presented. This book is suitable for undergraduates and beginning graduate students.

UN Law on International Sales

The UN Convention on the International Sale of Goods
Author: Peter Schlechtriem,Petra Butler
Publisher: Springer Science & Business Media
ISBN: 9783540499923
Category: Law
Page: 352
View: 2351
This book describes and analyses the rules and provisions of the United Nation Convention on the International Sale of Goods of 1980 - CISG-. The authors explain the details of the CISG’s text, report the essence of the scholarly discussions of its issues, and, in particular, present numerous cases decided by courts and arbitration tribunals both as illustrations of problems arising under the CISG and as case law interpreting the Convention. The book is mainly intended to be used in teaching, but it can also help practitioners to understand the structure and basic solutions of sales law issues encoded in the CISG.

The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

Author: Catherine Goldstein,Norbert Schappacher,Joachim Schwermer
Publisher: Springer Science & Business Media
ISBN: 3540347208
Category: Mathematics
Page: 578
View: 6608
Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Approximation Theory Using Positive Linear Operators

Author: Radu Paltanea
Publisher: Springer Science & Business Media
ISBN: 1461220580
Category: Mathematics
Page: 202
View: 6888
Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results

Vector Analysis

Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 1475734786
Category: Mathematics
Page: 284
View: 5510
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.

Continuous Nowhere Differentiable Functions

The Monsters of Analysis
Author: Marek Jarnicki,Peter Pflug
Publisher: Springer
ISBN: 3319126709
Category: Mathematics
Page: 299
View: 7564
This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks used to study the explicit continuous nowhere differentiable functions of Weierstrass, Takagi–van der Waerden, Bolzano, and others. Modern tools of functional analysis, measure theory, and Fourier analysis are applied to examine the generic nature of continuous nowhere differentiable functions, as well as linear structures within the (nonlinear) space of continuous nowhere differentiable functions. To round out the presentation, advanced techniques from several areas of mathematics are brought together to give a state-of-the-art analysis of Riemann’s continuous, and purportedly nowhere differentiable, function. For the reader’s benefit, claims requiring elaboration, and open problems, are clearly indicated. An appendix conveniently provides background material from analysis and number theory, and comprehensive indices of symbols, problems, and figures enhance the book’s utility as a reference work. Students and researchers of analysis will value this unique book as a self-contained guide to the subject and its methods.

Drug Discovery and Evaluation

Pharmacological Assays
Author: Hans G. Vogel,Wolfgang H. Vogel
Publisher: Springer Science & Business Media
ISBN: 366203333X
Category: Medical
Page: 759
View: 9988

Inner Product Spaces and Applications

Author: T M Rassias
Publisher: CRC Press
ISBN: 9780582317116
Category: Mathematics
Page: 280
View: 5472
In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.

Functions of a Complex Variable

Author: Hemant Kumar Pathak,Ravi Agarwal,Yeol Je Cho
Publisher: CRC Press
ISBN: 1498720161
Category: Mathematics
Page: 718
View: 3415
Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students’ understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering. After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouché’s theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.

Find Me I'm Yours

Author: Hillary Carlip
Publisher: RosettaBooks
ISBN: 0795343272
Category: Fiction
Page: 176
View: 8243
"If you believe in destiny like I do, and you think there's even a remote possibility we're meant to be together, then find me I'm yours." —Mr. WTF In one sentence—one serendipitous moment—everything Mags Marclay, an offbeat, wry, 24-year-old struggling artist living in L.A., has ever known is forever changed as she is led on a treasure hunt to find her soul mate. Find Me I’m Yours is a highly entertaining, unconventional virtual page-turner. Become immersed in Mags’s world through original artwork, hand-written lists, graphics, and Instagram photos within the book. You can go even deeper into the Find Me I’m Yours universe by clicking on embedded links leading to interactive content that’s expertly woven through the novel, including: • Original rom-com style VIDEOS that star the handsome stranger Mags dubs “Mr. WTF,” who gives clues to the hunt. • Thirty-three unique, custom-designed WEBSITES that further the narrative, blur the lines between fiction and reality, and offer endless ways for you to enjoy additional original content, including reality and comedy series featuring A-list talent. • OPPORTUNITIES for you to share your own content (artwork, stories, songs, apologies, wishes, etc.), interact, connect, and personally engage with the story. This revolutionary CLICK LIT® novel was conceived from the get-go as an ever-expanding, multi-platform entertainment experience. Created, written, and designed by award-winning author, artist, and digital innovator Hillary Carlip, and co-created, directed, and produced by Golden Globe-winning and Emmy-nominated TV comedy writer/producer/director Maxine Lapiduss, Find Me I’m Yours is a game changer in the way that stories are told and experienced.

Photochemistry and Photophysics of Coordination Compounds II

Author: Vincenzo Balzani,Sebastiano Campagna
Publisher: Springer
ISBN: 3540733493
Category: Science
Page: 327
View: 3142
Photochemistry (a term that broadly speaking includes photophysics) is abranchofmodernsciencethatdealswiththeinteractionoflightwithmatter and lies at the crossroadsof chemistry, physics, and biology. However, before being a branch of modern science, photochemistry was (and still is today), an extremely important natural phenomenon. When God said: “Let there be light”, photochemistry began to operate, helping God to create the world as wenowknowit.Itislikelythatphotochemistrywasthesparkfortheoriginof life on Earth and played a fundamental role in the evolution of life. Through the photosynthetic process that takes place in green plants, photochemistry is responsible for the maintenance of all living organisms. In the geological past photochemistry caused the accumulation of the deposits of coal, oil, and naturalgasthat wenowuseasfuels.Photochemistryisinvolved inthecontrol ofozoneinthestratosphereandinagreatnumber ofenvironmentalprocesses thatoccurintheatmosphere,inthesea,andonthesoil.Photochemistryisthe essenceoftheprocessofvisionandcausesavarietyofbehavioralresponsesin living organisms. Photochemistry as a science is quite young; we only need to go back less than one century to ?nd its early pioneer [1]. The concept of coordination compound is also relatively young; it was established in 1892, when Alfred Werner conceived his theory of metal complexes [2]. Since then, the terms coordination compound and metal complex have been used as synonyms, even if in the last 30 years, coordination chemistry has extended its scope to the binding ofall kinds of substrates [3, 4].

Minimal Surfaces II

Boundary Regularity
Author: Ulrich Dierkes,Stefan Hildebrandt,Albrecht Küster,Ortwin Wohlrab
Publisher: Springer Science & Business Media
ISBN: 3662087766
Category: Mathematics
Page: 422
View: 5688
Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can also be useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory for nonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature.

A History of the Calculus of Variations from the 17th through the 19th Century

Author: H. H. Goldstine
Publisher: Springer Science & Business Media
ISBN: 1461381061
Category: Mathematics
Page: 410
View: 751
The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.

Molecular Imaging II

Author: Wolfhard Semmler,Markus Schwaiger
Publisher: Springer Science & Business Media
ISBN: 3540774963
Category: Medical
Page: 365
View: 4706
The aim of this textbook of molecular imaging is to provide an up to date review of this rapidly growing field and to discuss basic methodological aspects necessary for the interpretation of experimental and clinical results. Emphasis is placed on the interplay of imaging technology and probe development, since the physical properties of the imaging approach need to be closely linked with the biologic application of the probe (i.e. nanoparticles and microbubbles). Various chemical strategies are discussed and related to the biologic applications. Reporter-gene imaging is beeing addressed not only in experimental protocols, but also first clinical applications are discussed. Finally, strategies of imaging to characterize apoptosis and angiogenesis are described and discussed in the context of possible clinical translation.

Linear Algebra

Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 9780387941288
Category: Mathematics
Page: 204
View: 1246
The original version of this book, handed out to my students in weekly in stallments, had a certain rugged charm. Now that it is dressed up as a Springer UTM volume, I feel very much like Alfred Dolittle at Eliza's wedding. I hope the reader will still sense the presence of a young lecturer, enthusiastically urging his audience to enjoy linear algebra. The book is structured in various ways. For example, you will find a test in each chapter; you may consider the material up to the test as basic and the material following the test as supplemental. In principle, it should be possible to go from the test directly to the basic material of the next chapter. Since I had a mixed audience of mathematics and physics students, I tried to give each group some special attention, which in the book results in certain sections being marked· "for physicists" or "for mathematicians. " Another structural feature of the text is its division into laconic main text, put in boxes, and more talkative unboxed side text. If you follow just the main text, jumping from box to box, you will find that it makes coherent reading, a real "book within the book," presenting all that I want to teach.

A Source Book in Mathematics, 1200-1800

Author: Dirk Jan Struik
Publisher: Princeton University Press
ISBN: 1400858003
Category: Mathematics
Page: 444
View: 9714
These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.