Silverman, a former member of the courant institute of Mathematical Sciences of New York University and the Lincoln Laboratory of the Massachusetts Institute of Technology, is himself the author of numerous papers on applied probability theory. The clear exposition, index, the ample illustrations and problems, the cross-references, and bibliography make this book useful for self-study or the classroom.

Rozanov, an internationally known mathematician whose work in probability theory and stochastic processes has received wide acclaim, combines succinctness of style with a judicious selection of topics. He then covers bernoulli trials and the De Moivre-Laplace theorem, which involve three important probability distributions binomial, Poisson, and normal or Gaussian.

Probability Theory: A Concise Course Dover Books on Mathematics #ad - This book, a concise introduction to modern probability theory and certain of its ramifications, deals with a subject indispensable to natural scientists and mathematicians alike. He has heavily revised the English edition and added new material. Silverman. His book is highly readable, fast-moving, and self-contained.

# An Introduction to Information Theory: Symbols, Signals and Noise Dover Books on Mathematics

Dover Publications #ad - Uncommonly good. The most satisfying discussion to be found. Scientific American. Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. R. Pierce follows the brilliant formulations of Claude Shannon and describes such aspects of the subject as encoding and binary digits, efficient encoding, language and meaning, entropy, and the noisy channel.Pierce worked for many years at the Bell Telephone Laboratories, where he became Director of Research in Communications Principles. Dover Publications. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter.

An Introduction to Information Theory: Symbols, Signals and Noise Dover Books on Mathematics #ad - A glossary of terms and an appendix on mathematical notation are proved to help the less mathematically sophisticated. J. Mathematical formulas are introduced at the appropriate points for the benefit of serious students. His introduction to information Theory continues to be the most impressive nontechnical account available and a fascinating introduction to the subject for lay readers.

Pierce has revised his well-received 1961 study of information theory for a second edition. R.

# Introduction to Graph Theory Dover Books on Mathematics

Dover Publications #ad - The topics are so well motivated, the exposition so lucid and delightful, that the book's appeal should be virtually universal. Exercises are included at the end of each chapter. A stimulating excursion into pure mathematics aimed at "the mathematically traumatized, " but great fun for mathematical hobbyists and serious mathematicians as well.Dover Publications. Requiring only high school algebra as mathematical background, Platonic graphs, Euler's formula, the book leads the reader from simple graphs through planar graphs, coloring, the genus of a graph, Hamilton walks, Euler walks, and a discussion of The Seven Bridges of Konigsberg.1976 edition.

Introduction to Graph Theory Dover Books on Mathematics #ad - Every library should have several copies" — Choice.

# Number Theory Dover Books on Mathematics

Dover Publications #ad - Dover Publications. Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory.In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems. Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, combinatorial and computational number theory, congruences, arithmetic functions, including the fundamental theorem of arithmetic, primitive roots and prime numbers.

Number Theory Dover Books on Mathematics #ad - Exercises provide opportunities for constructing numerical tables with or without a computer. Later chapters offer lucid treatments of quadratic congruences, additivity including partition theory and geometric number theory. Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples.

Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated.

# Introduction to Topology: Third Edition Dover Books on Mathematics

Dover Publications #ad - Dover Publications. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness.. Throughout the text, Dr. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure. The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness.

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Mendelson, a former professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.

Introduction to Topology: Third Edition Dover Books on Mathematics #ad - In the second chapter professor mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space.

Dover Publications.

# Linear Algebra Dover Books on Mathematics

Dover Publications #ad - Dover Publications. Dover Publications. Problems are included, with a full section of hints and answers in the back. Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject.Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom. Shilov, linear functions of a vector argument, bilinear and quadratic forms, euclidean spaces, systems of linear equations, linear spaces, coordinate transformations, the canonical form of the matrix of a linear operator, Professor of Mathematics at the Moscow State University, finite-dimensional algebras and their representations, unitary spaces, quadratic forms in Euclidean and unitary spaces, covers determinants, with an appendix on categories of finite-dimensional spaces.

Linear Algebra Dover Books on Mathematics #ad - The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. In this volume in his exceptional series of translations of Russian mathematical texts, Richard Silverman has taken Shilov's course in linear algebra and has made it even more accessible and more useful for English language readers.

# Principles of Statistics Dover Books on Mathematics

Dover Publications #ad - There are many textbooks which describe current methods of statistical analysis, while neglecting related theory. The new, corrected dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study. Professor M. Principles of statistics was created primarily for the student of natural sciences, the undergraduate mathematics student, the social scientist, or anyone familiar with the basics of mathematical language.G. Also included are a number of statistical tables and selected references. The book then moves quickly to more advanced levels, Poisson, exponential, normal, as Professor Bulmer describes important distributions binomial, etc. Tests of significance, regression, point estimation, statistical inference, and correlation.

Principles of Statistics Dover Books on Mathematics #ad - Dover Publications. Dover Publications. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Bulmer's principles of Statistics, originally published in 1965, was created to fill that need. There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications.

But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level.

# Fourier Series Dover Books on Mathematics

Dover Publications #ad - He has also added a bibliography, containing suggestions for collateral and supplementary reading. The present book is another excellent text from this series, a valuable addition to the English-language literature on Fourier series. This edition is organized into nine well-defined chapters: trigonometric fourier series, orthogonal systems, Bessel Functions and Fourier-Bessel Series, Convergence of Trigonometric Fourier Series, Operations on Fourier Series, Trigonometric Series with Decreasing Coefficients, Summation of Trigonometric Fourier Series, Double Fourier Series and the Fourier Integral, and the Eigenfunction Method and its Applications to Mathematical Physics.Every chapter moves clearly from topic to topic and theorem to theorem, with many theorem proofs given. A total of 107 problems will be found at the ends of the chapters, including many specially added to this English-language edition, and answers are given at the end of the text. Dover Publications. Used book in Good Condition.

Fourier Series Dover Books on Mathematics #ad - 1962 edition. Silverman's series of translations of outstanding Russian textbooks and monographs is well-known to people in the fields of mathematics, physics, and engineering. Richard A. Dover Publications.

# Theoretical Physics Dover Books on Physics

Dover Publications #ad - Dover Publications. Students will find no better one-volume coverage of so many essential topics; moreover, superconductivity, elastomers, the book has been substantially revised and updated with additional material on Bessel functions, spherical harmonics, since its first publication, and other subjects.The first four chapters review mathematical topics needed by theoretical and experimental physicists vector analysis, mathematical representation of periodic phenomena, the calculus of variations, theory of vibrations and waves, theory of functions of a complex variable, and more. This material is followed by exhaustive coverage of mechanics including elasticity and fluid mechanics, kinetic theory and statistical mechanics, and thorough discussions of thermodynamics, a highly detailed treatment of electromagnetic theory, as well as relativistic mechanics, quantum mechanics and nuclear physics.

Now available for the first time in paperback, this wide-ranging overview also contains an extensive 40-page appendix which provides detailed solutions to the numerous exercises included throughout the text. Among the finest, most comprehensive treatments of theoretical physics ever written, this classic volume comprises a superb introduction to the main branches of the discipline and offers solid grounding for further research in a variety of fields.

Theoretical Physics Dover Books on Physics #ad - Used book in Good Condition. Dover Publications. Although first published over 50 years ago, comprehensive survey, the book remains a solid, so well written and carefully planned that undergraduates as well as graduate students of theoretical and experimental physics will find it an indispensable reference they will turn to again and again.

# Introductory Discrete Mathematics Dover Books on Computer Science

Dover Publications #ad - Dover Publications. Used book in Good Condition. Applications are emphasized wherever possible and more than 200 exercises at the ends of these chapters help students test their grasp of the material. Chapters 4 and 5 survey graphs and digraphs, applications of graph coloring, including their connectedness properties, and more, with stress on applications to coding and other related problems.Two important problems in network optimization ― the minimal spanning tree problem and the shortest distance problem ― are covered in the last two chapters. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics.

Introductory Discrete Mathematics Dover Books on Computer Science #ad - A very brief nontechnical exposition of the theory of computational complexity and NP-completeness is outlined in the appendix. Dover Publications. This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems.

Chapters 0–3 cover fundamental operations involving sets and the principle of mathematical induction, permutations, and standard combinatorial topics: basic counting principles, the inclusion-exclusion principle, generating functions, combinations, recurrence relations, and an introduction to the analysis of algorithms.

# Ordinary Differential Equations Dover Books on Mathematics

Dover Publications #ad - An elementary college textbook for students of math, engineering and the sciences in general. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. In a disarmingly simple, the authors — morris tenenbaum of cornell University, step-by-step style that never sacrifices mathematical rigor, critically-important concepts to undergraduate students of mathematics, and Harry Pollard of Purdue University — introduce and explain complex, engineering and the sciences.

The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application.

Ordinary Differential Equations Dover Books on Mathematics #ad - Dover Publications. Used book in Good Condition. The first includes a discussion of the legendre Differential Equation, the Bessel Differential Equation, Legendre Functions, Legendre Polynomials, and the Laguerre Differential Equation. This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives.