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by David Agler (Author)Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.Author BiographyDavid Agler is a lecturer i...
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by Matthias Beck (Author), Ross Geoghegan (Author)Preface.- Notes for the Student.- Notes for Instructors.- Part I: The Discrete.- 1 Integers.- 2 Natural Numbers and Induction.- 3 Some Points of Logic.- 4 Recursion.- 5 Underlying Notions in Set Theory.- 6 Equivalence Relations and Modular Arithmetic.- 7 Arithmetic in Base Ten.- Part II: The Continuous.- 8 Real Numbers.- 9 Embedding Z in R.- 10. Limits and Other Consequences of Completeness.- 11 Rational and Irrational Numbers.- 12 Decimal Exp...
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by Ethan D. Bloch (Author)"Proofs and Fundamentals: A First Course in Abstract Mathematics" 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-...
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by James J. Callahan (Author)With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just tw...
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by Loring W. Tu (Author)Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the...
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by Gregory L. Naber (Author)This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose th...
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by J. Michael McCarthy (Author), Gim Song Soh (Author)This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a work piece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find al...
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by Gregory L. Naber (Author)During the past two decades gauge theory has been the focus of intense mathematical scrutiny. This book, together with the author's earlier book, Topology, Geometry and Gauge Fields: Foundations, Springer 1997, provides a gentle introduction to the basics of the subject with the somewhat unique feature of picking out what students need to know from both the mathematics and physics of the subject. Extensive exercises are included to encourage readers to actively par...
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by Weizhang Huang (Author), Robert D. Russell (Author)This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the vari...
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by Bill Goodwine (Author)Preface.- Prerequisites.- Course Structure.- Introduction and Preliminaries.- Ordinary First Order Equations.- Ordinary Second Order Linear Constant Coefficient Equations.- Single Degree fo Freedom Vibrations.- Ordinary Second Order Linear Variable Coefficient Equations.- Systems of Ordinary First Order Linear Constant Coefficient Equations.- Applications of Systems of First Order Equations.- The Laplace Transform.- Basic Control Theory: Analysis.- Basic Filter Theory...
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by John Lee (Author)This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields.Although this second edition has the same basic structure as the first edition, it has been extensively revised and clar...
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by Jean Gallier (Author)This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, ...
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by Michael Alley (Author)Offers well-tested advice, having been used by research engineers and scientists at many national labs and universities for over twenty yearsUses scores of interesting examples to teach the principles of scientific writingFun to read and conversational, focusing on the stylistic traits that distinguish the best scientific writing Has a popular accompanying website which contains many supporting materials for readers of the book and teachers using as a course textBack ...
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by Kehe Zhu (Author)Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms "Hardy spaces" and "Bergman spaces" are by now standard and well established. But the term "Fock spaces" is a different story.Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the author's, have also appeared in the past few decades. But the...
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by Erich L. Lehmann (Author)Classical statistical theory-hypothesis testing, estimation, and the design of experiments and sample surveys-is mainly the creation of two men: Ronald A. Fisher (1890-1962) and Jerzy Neyman (1894-1981). Their contributions sometimes complemented each other, sometimes occurred in parallel, and, particularly at later stages, often were in strong opposition. The two men would not be pleased to see their names linked in this way, since throughout most of their working...
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by Brian Everitt (Author), Torsten Hothorn (Author)Multivariate data and multivariate analysis.- Looking at multivariate data: visualization.- Principal components analysis.- Multidimensional scaling.- Exploratory factor analysis.- Cluster analysis.- Confirmatory factor analysis and structural equation models.- The analysis of repeated measures data.-Back JacketThe majority of data sets collected by researchers in all disciplines are multivariate, meaning that several measurements, observatio...
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by Dusan Djukic (Author), Vladimir Jankovic (Author), Ivan Matic (Author)"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics.The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interes...
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by John Lee (Author)This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is a...
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by H. S. M. Coxeter (Author)This textbook introduces non-Euclidean geometry, and the third edition adds a new chapter, including a description of the two families of 'mid-lines' between two given lines and an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, and other new material. Number of Pages: 326 Dimensions: 0.73 x 9 x 6 IN Publication Date: December 15, 1965
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by Chris McMullen (Author)These full-color illustrations on 8"x10" pages are at once aesthetically captivating and instructive. Each page consists of colorful images of tesseracts (4D hypercubes) or glomes (4D hyperspheres) with a paragraph caption describing the figures at the bottom. Color is used effectively to show how to visualize the features of tesseracts and glomes, how to draw tesseracts in perspective, how a tesseract unfolds, how the features of tesseracts and glomes change as they...
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by H. S. Hall (Author)This early works on Algebra for Beginners was originally published in 1900 with much of the information still useful and practical today. The work will be found to meet the wants of all who do not require a knowledge of Algebra beyond Quadratic Equations - that portion of the subject usually covered in the examination for admission to the classical course of American Colleges. Many of the earliest books, particularly those dating back to the 1900's and before, are now ex...
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by E. C. Titchmarsh (Author)The idea of expanding an arbitrary function in terms of the solutions of a second-order differential equation goes back to the time of Sturm and Liouville, more than a hundred years ago. The first satisfactory proofs were constructed by various authors early in the twentieth century. Later, a general theory of the singular cases was given by Weyl, who-based i on the theory of integral equations. An alternative method, proceeding via the general theory of linear ope...
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by Florian Cajori (Author)Originally published in 1893. PREFACE: AN increased interest in the history of the exact sciences manifested in recent years by teachers everywhere, and the attention given to historical inquiry in the mathematical class-rooms and seminaries of our leading universities, cause me to believe that a brief general History of Mathematics will be found acceptable to teachers and students. The pages treating necessarily in a very condensed form of the progress made during t...
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by J. Dieudonne (Author)In this text, the whole structure of analysis is built up from the foundations. The only things assumed at the outset are the rules of logic and the usual properties of the natural numbers, and with these two exceptions all the proofs in the text rest on the axioms and theorems proved earlier. Nevertheless this treatise (including the first volume) is not suitable for students who have not yet covered the first two years of an undergraduate honours course in mathematic...
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by R. G. D. Allen (Author)MATHEMATICAL ANALYSIS FOR ECONOMISTS by R. G. D. ALLEN. Originally published in 1937. FOREWORD; THIS book, which is based on a series of lectures given at the London School of Economics annually since 1931, aims at providing a course of pure mathematics developed in the directions most useful to students of economics. At each stage the mathematical methods described are used in the elucidation of problems of economic theory. Illustrative examples are added to all cha...
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by Clarence Lewis Irving (Author)Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. Number of Pages: 596 Dimensions: 1.74 x 8.82 x 5.83 IN Publication Date: November 04, 2008
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by George Howe (Author)First published in 1910, this book aims to present and explain, in simple terms, all the elements of algebra, geometry, trigonometry, logarithms, coordinate geometry, and calculus. Mathematics For The Practical Man constitutes the ideal introduction to some of mathematics more tricky elements, and it is not to be missed by collectors of vintage literature of this ilk. The contents include: - Fundamentals of Algebra. Addition and Subtraction - Fundamentals of Algebra. Mu...
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by J. E. Thompson (Author)A step-by-step guide to calculus featuring practice questions and exercises to help people improve their understanding of the mathematical study of change. First published in 1945, this edition of J. E. Thompson's Calculus for the Practical Man is the ideal simple guide for those who are studying physics or mathematical courses at university, or for those who wish to brush up on the calculus they learnt while in higher education. Each chapter features illustrated exa...
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by William John McClelland (Author)Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. Number of Pages: 158 Dimensions: 0.37 x 8.5 x 5.5 IN Publication Date: December 09, 2009
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by Thomas Little Heath (Author)The first edition of this book, which was the first English Diophantus, appeared in 1885 and has long been out of print. It is with this in mind that the author endeavored to make accessible again the teachings contained within this rare tome. This edition contains the seminal mathematic work of Diaphanous in a more consolidated and applicable form, containing chapters such as: Diohantus and his Works, Diophantus' methods of solution, The porisms and other assum...
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by Jacques Hadamard (Author)Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. Number of Pages: 164 Dimensions: 0.5 x 8.5 x 5.5 IN Publication Date: November 04, 2008
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by Lancelot Hogben (Author)STATISTICAL THEORY The Relationship of Probability Credibility and. Error by LANCELOT HOGBEN.CONTENTS: Foreword page 7 1 The Contemporary Crisis or the Uncertainties of Uncertain Inference 13 PART I. THE FOUNDING FATHERS 2 The Founding Fathers and the Natural History of Gambling 33 3 Randomness and the Relevance of the Rule 59 4 Division of the Stakes and the Lottery of Life and Death 83 5 The Backward Look and the Balance Sheet of Thomas Bayes no 6 The Place of Lap...