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by Rainer Kress (Author)This volume is intended as an introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover all parts of numerical analysis, the goal is to guide the reader towards the basic ideas and general principles by way of considering main and important numerical algorithms. Given the rapid development of numerical methods, a reasonable introduction to numerical analysis has to confine itself to presentin...
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by George E. Martin (Author)This is a text on geometric constructions--a popular area of mathematics since the time of Plato to the modern classroom. The author takes advantage of modern algebra and the resultant coordinate geometry to analyze and classify these problems. Various geometric construction tools are associated with various algebraic fields of numbers and elements of algebra are necessarily encountered while exploring the constructions. Number of Pages: 206 Dimensions: 0.47 x 9.21...
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by Rajendra Bhatia (Author)A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu- ate courses. Courses based on parts of ...
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by John Stillwell (Author)NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields-algebra, analysis and geometry-meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre- calculus) book. It can be read by any well prepared student entering university and will appeal to graduate students and researchers in mathematics. Number of Pages: 343 Dimensions: 0.75 x 9...
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by Luc Devroye (Author), Laszlo Györfi (Author), Gabor Lugosi (Author)Pattern recognition presents a significant challege for scientists and engineers, and many different approaches have been proposed. This book provides a self-contained account of probabilistic techniques that have been applied to the subject. Researchers and graduate students will benefit from this wide-ranging account of the field. Number of Pages: 638 Dimensions: 1.33 x 9.21 x 6.14 IN Publication Date: November 22, 2013
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by Serge Lang (Author)This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields,...
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by Neal I. Koblitz (Author)The second edition of this text includes an updated bibliography indicating the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. Number of ...
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by Armand Borel (Author)This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally's structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields. Number of Pages: 290 Dimens...
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by R. B. Burckel (Translator), Reinhold Remmert (Author)A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory,...
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by Bruce P. Palka (Author)This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to such a degree that Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without side-stepping any issues of rigor. Each chapter concludes with a wide selection of exercises. Number of Pages: 560 Dime...
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by Tom M. Apostol (Author)This volume is a sequel to INTRODUCTION TO ANALYTIC NUMBER THEORY (UTM). Most of the book is concerned with a classical treatment of elliptic and modular functions with applications to number theory. This includes the asymptotic theory of partitions and multiplicative properties of coefficients of modular forms. The book presupposes a knowledge of elementary number theory and the rudiments of real and complex analysis. Number of Pages: 207 Dimensions: 0.46 x 9.21 x 6...
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by Rouletterwx (Author)Why is The Last Roulette Secret the cheapest and the best roulette book available? Because it could pay itself off multiple times in ONLY ONE SPIN This claim is detailed in the book, and the illustrated examples show step by step how to save tens of dollars in one spin and hundreds of dollars in a few spins. The Last Roulette Secret is not a regular roulette book that relies on luck, statistics and biased wheels. This is a practical and to the point summary of a roul...
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by Gert K. Pedersen (Author)Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take...
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by Serge Lang (Author)Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in th...
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by Marcel Berger (Author), Silvio Levy (Translator), Bernard Gostiaux (Author)This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are so...
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by Jean-Pierre Serre (Author) Number of Pages: 211 Dimensions: 0.47 x 9.21 x 6.14 IN Publication Date: September 30, 2012
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by Serge Lang (Author)This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included. Number of Pages: 619 Dimensions: 1.28 x 9.21 x 6.14 IN Publication Date: October 17, 2012
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by S. Levy (Translator), K. Jänich (Author)Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Brcker). - References. - Table of Symbols. -Index. Number of Pages: 193 Dimensions: 0.44 x 9.21 x 6.14 IN Publication Date: October 03...
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by Benno Artmann (Author), B. Artmann (Drawings by)This is a book for all lovers of mathematics with a solid background in high school geometry, from teachers and students to university professors. For each of Euclid's thirteen Books, the author has given a general description of the contents and structure of the Book, plus one or two sample proofs. Number of Pages: 349 Dimensions: 0.76 x 9.21 x 6.14 IN Publication Date: October 21, 2012
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by Edward Beltrami (Author)Order is an illusion, the quantum theorists tell us; at bottom the world is ruled by quantum indeterminacy. Yet randomness is also an illusion: the appearance of randomness is only a sign of ignorance, of our inability to detect the pattern. Does randomness really exist? In this wonderfully thought-provoking little book, mathematician Ed Beltrami shows how order and randomness are really two sides of the same mysterious coin. Number of Pages: 201 Dimensions: 0.51 x ...
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by Peter Petersen (Author)This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a chapter on determinants at the end of the book. In addition, there is materi...
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by Daniel W. Cunningham (Author)The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A...
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by W. M. Priestley (Author)This introduction to caclulus was written for liberal arts students, particularly for those whose principal interest is in the humanities. While the usual topics in calculus are covered, the subject is treated in an historical manner that gives a picture of the nature of mathematics and of the place of mathematics within the liberal arts. Number of Pages: 404 Dimensions: 0.87 x 9.21 x 6.14 IN Publication Date: October 23, 2012
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by Lawrence C. Washington (Author)Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a ...
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by Christopher I. Byrnes (Author), Francesco Delli Priscoli (Author), Alberto Isidori (Author)The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic re- jection of undesired disturbances is a central problem in control the- ory. A classical setup in which the problem was posed and success- fully addressed - in the context of linear, time-invariant and finite dimensional systems - is the one in which the exogenous inp...
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by Henrik Hult (Author), Filip Lindskog (Author), Ola Hammarlid (Author)Investment and risk management problems are fundamental problems for financial institutions and involve both speculative and hedging decisions. A structured approach to these problems naturally leads one to the field of applied mathematics in order to translate subjective probability beliefs and attitudes towards risk and reward into actual decisions. In Risk and Portfolio Analysis the authors present sound principles and...
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by Gerd Baumann (Author)The first publication to offer speedy, computer-algebra based calulations and solutions using Lie's methods and techniques. An invaluable tool for scientists, mathematicians and engeineers, dealing with symmetry analysis of differential equations. Number of Pages: 521 Dimensions: 1.08 x 9.61 x 6.69 IN Publication Date: January 20, 2014
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by Xueliang Li (Author), Yongtang Shi (Author), Ivan Gutman (Author)Preface.- Introduction.- The Chemical Connection.- The Coulson Integral Formula.- Common Proof Methods.- Bounds for the Energy of Graphs.- The Energy of Random Graphs.- Graphs Extremal with with Regard to Energy.- Hypernergetic and Equienergetic Graphs.- Miscellaneous.- Other Graph Energies.- Bibliography.- Index.Back JacketThis book is about graph energy. The authors have included many of the important results on graph energ...
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by Maury Bramson (Editor), Richard T. Durrett (Editor) Number of Pages: 398 Dimensions: 0.84 x 9.21 x 6.14 IN Publication Date: October 08, 2011
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by Alfred Gray (Author), Michael Mezzino (Author), Mark A. Pinsky (Author)A multimedia textbook package for a course in ordinary differential equations taught in a conventional lecture class or in a laboratory- based course. The multimedia package consists of a printed textbook, a cross-platform CD-ROM, plus ancillary materials delivered online through the world Web web. The textbook includes hundreds of exercises and worked examples, historical footnotes, rich use of graphics to aid in visua...
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by Larry J. Gerstein (Author)"...Gerstein wants-very gently-to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than "plug and chug"), how to build a solution, and ultimately he wants to teach the students to take a statement and develop a way to prove it...Gerstein writes with a certain flair that I think students will find appealing. For instance, after his discussion of cardinals he has a section entitled Languages and Finite ...
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by Rolf Socher-Ambrosius (Author), Patricia Johann (Author)The idea of mechanizing deductive reasoning can be traced all the way back to Leibniz, who proposed the development of a rational calculus for this purpose. But it was not until the appearance of Frege's 1879 Begriffsschrift-"not only the direct ancestor of contemporary systems of mathematical logic, but also the ancestor of all formal languages, including computer programming languages" ([Dav83])-that the fundamental concepts of mode...