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by Serge Lang (Author)Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of De...
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by Underwood Dudley (Author), U. Dudley (Author)1. Non-Euclidean Constructions.- 2. Characteristics of Trisectors.- 3. Three Trisectors.- 4. A Budget of Trisections. Number of Pages: 188 Dimensions: 0.5 x 9.21 x 6.14 IN Illustrated: Yes Publication Date: October 19, 1987
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by Anthony L. Peressini (Author), Francis E. Sullivan (Author), J. J. Jr. Uhl (Author)The book is aimed at students who have a working knowledge of linear algebra and partial differentiation but has had no previous exposure to optimization. Mathematics instructors will be comfortable with the mathematical approach which deemphasizes recipes and emphasizes underlying concepts. There are many exercises chosen to highlight the fundamental ideas. Number of Pages: 276 Dimensions: 0.9 x 9.4 x 6.4 I...
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by B. L. Van Der Waerden (Author), F. Blum (Translator), J. R. Schulenberg (Translator)This beautiful and eloquent text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This text is a reprinted version of the original English translation of the first volume of B.L. v...
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by Serge Lang (Author)This is a text in basic mathematics with multiple uses for either high school or college level courses. Readers will get a firm foundation in basic principles of mathematics which are necessary to know in order to go ahead in calculus, linear algebra or other topics. The subject matter is clearly covered and the author develops concepts so the reader can see how one subject matter can relate and grow into another.Back JacketThe present book is intended as a text in basic...
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by Serge Lang (Author), Gene Murrow (Author)This book presents a coherent high school curriculum for the geometry course. With the help of many examples and exercises, this text teaches the student fundamental concepts and the difference between important results and minor technical routines. Number of Pages: 394 Dimensions: 0.99 x 9.56 x 6.31 IN Illustrated: Yes Publication Date: August 25, 1988
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by Joseph J. Rotman (Author)This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a two- semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra.Back JacketThis book is a clear exposition, with exercises, of basic ideas of algebraic topology: homology, homotopy groups, and cohomolo...
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by J. R. Schulenberger (Translator), B. L. Van Der Waerden (Author)This beautiful text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This second volume of the English translation of B.L. van der Waerden's text Algebra is the first softcover printing of the origina...
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by Pierre Samuel (Author), Silvio Levy (Translator)The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are efficiently dealt with by using a modest amount of linear algebra. An axiomatic characterization of project...
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by David Foster Wallace (Author)One of the outstanding voices of his generation, David Foster Wallace has won a large and devoted following for the intellectual ambition and bravura style of his fiction and essays. Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity. Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to th...
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by G. Larry Bretthorst (Author)This work is essentially an extensive revision of my Ph.D. dissertation, 1J. It 1S primarily a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, economists, and engineers who have to deal with data on a daily basis; consequently, we have included a great deal of introductory and tutorial material. Any person with the equivalent of the mathematics bac...
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by K. Vogtmann (Translator), A. Weinstein (Translator), V. I. Arnol'd (Author)This text begins with the basic facts of classical mechanics and proceeds to examine many important questions in dynamics. This modern approach, based on the theory of the geometry of manifolds, distinguishes itself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout. Number of Pages: 520 Dimensions: 1.17 x 9.62 x 6.62 IN Publication Date: May 16, 1989
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by John B. Conway (Author)This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general. The student will also appreciate the large number of examples and exercises which have been included. Number of Pages: 400 Dimensions: 1.2 x 9.4 x 6.4 IN Illustrated: Yes Publication Date: September 07, 1990
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by Robert G. Burns (Translator), B. a. Dubrovin (Author), A. T. Fomenko (Author)Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, pres...
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by Richard S. Millman (Author), George D. Parker (Author)This text offers a vivid modern development of classical and non-Euclidean geometries. Intended for a first course that is concerned with firm foundations, the book presents abstract systems in an accessible style by means of models that are carefully integrated with the theory, enabling the reader to picture the ideas more clearly. Number of Pages: 372 Dimensions: 0.88 x 9.21 x 6.14 IN Illustrated: Yes Publication Date: December 17, 1990
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by Kenneth Ireland (Author), Michael Rosen (Author)A CLASSICAL INTRODUCTION TO MODERN NUMBER THEORY is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along with wide-ranging coverage of significant results with comparitively elementary proofs, some of them new. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordel-Weil theorem for elli...
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by William Fulton (Author), Joe Harris (Author)The primary goal of these lectures is to introduce a beginner to the finite- dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on...
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by James B. Seaborn (Author)Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high lev...
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by David M. Bressoud (Author)This textbook covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The exercises and observations of mathematical symmetry studied in the text enable the student to better understand the interaction of physics and mathematics. Number of Pages: 404 Dimensions: 0.83 x 9.21 x 6.14 IN Illustrated: Yes Publication Date: August 08, 1991
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by Thomas Banchoff (Author), John Wermer (Author)Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and o...
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by Ioannis Karatzas (Author), Steven Shreve (Author)This book is designed as a text for graduate courses in stochastic processes. It contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises. Number of Pages: 470 Dimensions: 1.1 x 9.1 x 6.1 IN Publication Date: August 16, 1991
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by R. G. Burns (Translator), B. a. Dubrovin (Author), A. T. Fomenko (Author)This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to ph...
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by Hershel M. Farkas (Author), Irwin Kra (Author)This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case. Basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the Abelian varities associated with these surfaces. For this new edition, the material has been brought up-to-date, and erros have been corrected. The book should...
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by Joe Harris (Author)This book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra. Number of Pages: 330 Dimensions: 0.9 x 9.56 x 6.33 IN Illustrated: Yes Publication Date: Septem...
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by Steven Roman (Author)This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. Number of Pages: 488 Dimensions: 1.21 x 9.55 x 6.43 IN Illustrated: Yes Publication Date: June 04, 1992
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by Piero Barone (Editor), Arnoldo Frigessi (Editor), Mauro Piccioni (Editor)This volume comprises a collection of papers by world- renowned experts on image analysis. The papers range from survey articles to research papers, and from theoretical topics such as simulated annealing through to applied image reconstruction. It covers applications as diverse as biomedicine, astronomy, and geophysics. As a result, any researcher working on image analysis will find this book provides an up-to-date o...
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by Glen E. Bredon (Author)This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. Number of Pages: 557 Dimensions: ...
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by Martin Braun (Author)This is a best-selling introduction to differential equations, used in undergraduate classrooms across the country. Fully understandable to readers who have had one year of calculus, this book differentiates itself from other differential equations texts through its application of the subject matter to interesting scenarios. Highlights also include material on bifurcation theory, Sturm-Liouville boundary value problems and computer programs in C, Pascal and Fortran.Aut...
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by John H. Conway (Author), Richard Guy (Author)John Horton Conway is a world famous professor of mathematics at Princeton University, and inventor of The Game of Life. Previous books include On Numbers and Games, and Sphere Packing, Lattices and Groups. Richard K. Guy is professor emeritus of mathematics at the University of Calgary, with more than 200 publications and 10 books to his credit. Potential readers include the audience for The Mathematical Tourist (Ivars Petersen, Freeman); A Mat...
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by J. W. Thomas (Author)What makes Thomas' book stand out from the competition is his book is more computational. Thus, once done with both volumes, the reader will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized and algebraic manipulators are used when c...
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by Kenneth R. Davidson (Author), Allan P. Donsig (Author)This new approach to real analysis stresses the use of the subject with respect to applications, i.e., how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying exercises. T...
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by James Ramsay (Author), Giles Hooker (Author), Spencer Graves (Author)Scientists often collect samples of curves and other functional observations, and develop models where parameters are also functions. This volume in the UseR! Series is aimed at a wide range of readers, and especially those who would like apply these techniques to their research problems. It complements Functional Data Analysis, Second Edition and Applied Functional Data Analysis: Methods and Case Studies by providing com...