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by Edwin F. Beckenbach (Editor), Royal Weller (Introduction by)This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community. The books particularly focus on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. Suitable as a text for advanced undergraduate and graduate courses as well as a reference for professionals, Volume One's three-part treatment covers mathematical models, proba...
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by John E. Maxfield (Author), Margaret W. Maxfield (Author)This advanced undergraduate-level text was recommended for teacher education by The American Mathematical Monthly and praised as a most readable book. An ideal introduction to groups and Galois theory, it provides students with an appreciation of abstraction and arbitrary postulational systems, ideas that are central to automation.The authors take the algebraic equation and the discovery of the insolubility of the quintic as their the...
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by Joseph Edmund Wright (Author)This classic monograph by a mathematician affiliated with Trinity College, Cambridge, offers a brief account of the invariant theory connected with a single quadratic differential form. Suitable for advanced undergraduates and graduate students of mathematics, it avoids unnecessary analysis and offers an accessible view of the field for readers unfamiliar with the subject.A historical overview is followed by considerations of the methods of Christoffel and Lie ...
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by Richard E. Hodel (Author)Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy. An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic...
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by C. E. Springer (Author)Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and...
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by George Moseley Murphy (Author)This two-part treatment presents most of the methods for solving ordinary differential equations as well as systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that math students and professionals can readily locate standard equations. Plus, the substantial number and variety of equations assures users of finding either an exact equation or a sufficiently similar one.Part I considers differential equations of ...
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by Pin Tong (Author), John N. Rossettos (Author)Originally developed to address specific areas of structural mechanics and elasticity, the finite element method is applicable to problems throughout applied mathematics, continuum mechanics, engineering, and physics. This text elucidates the method's broader scope, bridging the gap between mathematical foundations and practical applications. Intended for students as well as professionals, it is an excellent companion for independent study, with...
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by F. G. Tricomi (Author), Elizabeth A. McHarg (Translator)Based on his extensive experience as an educator, F. G. Tricomi wrote this practical and concise teaching text to offer a clear idea of the problems and methods of the theory of differential equations. The treatment is geared toward advanced undergraduates and graduate students and addresses only questions that can be resolved with rigor and simplicity.Starting with a consideration of the existence and uniqueness theorem, the text adv...
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by C. C. Chang (Author), H. Jerome Keisler (Author)Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic methods -- including classification theory and nonstandard analysis -- the third edition added entirely new sections, exercises, and references. Each...
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by S. Deviant (Author)"The Simplest way to ace Statistics." Are you taking a statistics class right now or very soon? I struggled with statistics even while I got my master's degree in math, and after teaching statistics myself, I know why: statistics books and websites suck They are written by people who "get" math, not for people like us I wrote the Practically Cheating Statistics Handbook so you don't have to struggle anymore. I've been giving my own students this material since I starte...
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by Sun-Joo Shin (Author)Diagrams are widely used in reasoning about problems in physics, mathematics, and logic, but have traditionally been considered to be only heuristic tools and not valid elements of mathematical proof. This book challenges the prejudice against visualization in the history of logic and mathematics and provides a formal foundation for work on natural reasoning in a visual mode. The author presents Venn diagrams as a formal system of representation and specifies rules of ...
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by Gérard Laumon (Author), Jean Loup Waldspurger (Appendix by)Cohomology of Drinfeld Modular Varieties aims to provide an introduction to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a conjectured link between automorphic forms and Galois representations over a global field. By analogy with the number-theoretic case, one expects to establi...
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by Richard Tieszen (Author)Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and ...
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by Sara A. Van de Geer (Author)The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models, and makes it possible to give a unified treatment of various models. This book reveals the relation between the asymptotic behavior of M-estimators and the complexity of parameter space, using entropy as a measure of complexity, presenting tools and methods to analyze nonparametric, and in some cases, semiparametric methods. G...
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by Yann Bugeaud (Author)To help the reader access the current state of research in this branch of number theory, Yann Bugeaud combines the most important results previously scattered throughout the research literature and also includes a number of significant open questions. Although written for graduates who wish to pursue research, the collection will also be an invaluable reference work for established researchers. Number of Pages: 292 Dimensions: 0.66 x 9 x 6 IN Publication Date: December...
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by Ross G. Pinsky (Author)In this book, Professor Pinsky gives a self-contained account of the construction and basic properties of diffusion processes, including both analytic and probabilistic techniques. He starts with a rigorous treatment of the spectral theory of elliptic operators with nice coefficients on smooth, bounded domains, and then develops the theory of the generalized principal eigenvalue and the related criticality theory for elliptic operators on arbitrary domains. He consid...
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by Lucy Joan Slater (Author)The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used functions of analysis (Besse] Functions, Legendre Functions, etc.) are special cases of the general functions. The unified theory provides a means for the analysis of the simpler functions and can be used to solve the more complicated equations in physics. The generalized Gauss function is also used in mathematical statistics and the b...
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by T. G. Room (Author), P. B. Kirkpatrick (Author)This tract provides an introduction to four finite geometrical systems and to the theory of projective planes. Of the four geometries, one is based on a nine-element field and the other three can be constructed from the nine-element 'miniquaternion algebra', a simple system which has many though not all the properties of a field. The three systems based on the miniquaternion algebra have widely differing properties; none of them has the homoge...
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by John P. Burgess (Author)John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of th...
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by Eric Ghysels (Author), Denise R. Osborn (Author)Economic and financial time series feature important seasonal fluctuations. Despite their regular and predictable patterns over the year, month or week, they pose many challenges to economists and econometricians. This book provides a thorough review of the recent developments in the econometric analysis of seasonal time series. It is designed for an audience of specialists in economic time series analysis and advanced graduate students. It i...
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by J. D. Dixon (Author), M. P. F. Du Sautoy (Author), A. Mann (Author)The first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has been added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking ...
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by Kevin Houston (Author)Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of...
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by Daniel W. Stroock (Author)This book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order partial d...
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by Bob Krech (Author)Help students solve word problems with confidence using the proven Singapore bar modeling method. Twenty mini-lessons teach students how to use this effective strategy to tackle problems with multiplication, division, fractions, decimals, and more. Each lesson comes with four problems that increase in difficulty, along with scaffolded instruction to support all learners. A must-have resource to help get students ready for testing! Includes companion online materials for w...
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by Bob Krech (Author), Jeff Grabell (Author)Help students solve word problems with confidence using the proven Singapore bar modeling method. Twenty mini-lessons teach students how to use this effective strategy to tackle problems with fractions, decimals, ratios, algebra, and more. Each lesson comes with four problems that increase in difficulty, along with scaffolded instruction to support all learners. A must-have resource to help get students ready for testing! Includes companion online m...
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by Evelyn Underhill (Author)This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work. Number of Pages: 320 Dimensions: 0.88 x 9 x 6 IN...
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by Alexander MacFarlane (Author)This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work. Number of Pages: 172 Dimensions: 0.4 x 9 x 6...
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by William N. Bailey (Author) Number of Pages: 188 Dimensions: 0.43 x 9 x 6 IN Publication Date: December 01, 2000
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by Alexander Humez (Author), Joseph Maguire (With), Nicholas Humez (With)From Simon & Schuster, Zero to Lazy Eight is Alexander Humez's exploration into the romance of numbers fit with free-forming essays related to folklore, idioms, and mathematical diversions. A collection of essays blending elements of linguistics and mathematics provides an educational glimpse into the social history and culture of common phrases and colloquial expressions.Author BiographyAlexander Humez is the author...
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by Loren Graham (Author), Jean-Michel Kantor (Author)In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, go...
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by Charles Parsons (Author)In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl's idea of a "vicious circle" in the foundatio...
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by Reinhard Siegmund-Schultze (Author)The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world. Mathematicians Fleeing from Nazi Germany is the first thoroughly documented account of this exodus. In this greatly expanded translation of the 1998 German edition, Reinhard Siegmund-Schultze describes the flight of more than 140 mathematicians, their reasons for leaving, the political and economi...