This edition is organized into nine well-defined chapters: trigonometric fourier series, summation of Trigonometric Fourier Series, Trigonometric Series with Decreasing Coefficients, Double Fourier Series and the Fourier Integral, Convergence of Trigonometric Fourier Series, Bessel Functions and Fourier-Bessel Series, Operations on Fourier Series, Orthogonal Systems, and the Eigenfunction Method and its Applications to Mathematical Physics.

Fourier Series Dover Books on Mathematics #ad - Richard silverman's excellent translation makes this book readily accessible to mathematicians and math students, as well as workers and students in the fields of physics and engineering. He has also added a bibliography, containing suggestions for collateral and supplementary reading. Richard A. Every chapter moves clearly from topic to topic and theorem to theorem, with many theorem proofs given.

Silverman's series of translations of outstanding Russian textbooks and monographs is well-known to people in the fields of mathematics, physics, and engineering.

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

Dover Publications #ad - He then goes beyond the strict confines of the topic to explore the ways in which information theory relates to physics, cybernetics, psychology, and art. Pierce worked for many years at the Bell Telephone Laboratories, where he became Director of Research in Communications Principles. Pierce follows the brilliant formulations of Claude Shannon and describes such aspects of the subject as encoding and binary digits, entropy, language and meaning, efficient encoding, and the noisy channel.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. R. Beginning with the origins of the field, Dr. A glossary of terms and an appendix on mathematical notation are proved to help the less mathematically sophisticated.

An Introduction to Information Theory: Symbols, Signals and Noise Dover Books on Mathematics #ad - 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. R. Pierce has revised his well-received 1961 study of information theory for a second edition.

# Ordinary Differential Equations Dover Books on Mathematics

Dover Publications #ad - In a disarmingly simple, the authors — morris tenenbaum of cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, step-by-step style that never sacrifices mathematical rigor, 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. 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.

Ordinary Differential Equations Dover Books on Mathematics #ad - The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. An elementary college textbook for students of math, engineering and the sciences in general. Dover Publications. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals.

The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians. 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.

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.

# Introduction to Topology: Third Edition Dover Books on Mathematics

Dover Publications #ad - An elementary college textbook for students of math, engineering and the sciences in general. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. 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.Dover Publications. 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.

Introduction to Topology: Third Edition Dover Books on Mathematics #ad - Highly regarded for its exceptional clarity, and fine writing style, imaginative and instructive exercises, 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.

. 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. Throughout the text, Dr. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness.

# Partial Differential Equations for Scientists and Engineers Dover Books on Mathematics

Dover Publications #ad - Written for advanced undergraduate and graduate students, hyperbolic-type problems, as well as professionals working in the applied sciences, elliptic-type problems, this clearly written book offers realistic, practical coverage of diffusion-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems answers are provided and suggestions for further reading.. Dover Publications. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations. This highly useful text shows the reader how to formulate a partial differential equation from the physical problem constructing the mathematical model and how to solve the equation along with initial and boundary conditions.

Partial Differential Equations for Scientists and Engineers Dover Books on Mathematics #ad - Dover Publications. Most physical phenomena, whether in the domain of fluid dynamics, electricity, or heat flow, mechanics, optics, magnetism, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Dover Publications. An elementary college textbook for students of math, engineering and the sciences in general.

# Introduction to Graph Theory Dover Books on Mathematics

Dover Publications #ad - Exercises are included at the end of each chapter. Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, the genus of a graph, Euler walks, Platonic graphs, Euler's formula, coloring, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg.An elementary college textbook for students of math, engineering and the sciences in general. Dover Publications. A stimulating excursion into pure mathematics aimed at "the mathematically traumatized, " but great fun for mathematical hobbyists and serious mathematicians as well. Dover Publications. Every library should have several copies" — Choice.

Introduction to Graph Theory Dover Books on Mathematics #ad - . 1976 edition. The topics are so well motivated, the exposition so lucid and delightful, that the book's appeal should be virtually universal. Dover Publications.

# Linear Algebra Dover Books on Mathematics

Dover Publications #ad - The material is presented in a consistently clear style. 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.. Dover Publications. 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. Georgi E. An elementary college textbook for students of math, engineering and the sciences in general.

Shilov, bilinear and quadratic forms, linear spaces, the canonical form of the matrix of a linear operator, Professor of Mathematics at the Moscow State University, covers determinants, Euclidean spaces, finite-dimensional algebras and their representations, coordinate transformations, systems of linear equations, quadratic forms in Euclidean and unitary spaces, unitary spaces, linear functions of a vector argument, 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. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom. Dover Publications.

# Number Theory Dover Books on Mathematics

Dover Publications #ad - 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, congruences, including the fundamental theorem of arithmetic, arithmetic functions, combinatorial and computational number theory, carefully designed introduction are multiplicativity-divisibility, primitive roots and prime numbers.Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated. An elementary college textbook for students of math, engineering and the sciences in general. Dover Publications. Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, especially those in education and the liberal arts, other undergraduates, often need a more basic introduction to the topic.

Number Theory Dover Books on Mathematics #ad - 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. 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.

# Probability Theory: A Concise Course Dover Books on Mathematics

Dover Publications #ad - He has heavily revised the English edition and added new material. Silverman. Dover Publications. This volume is another in the popular series of fine translations from the Russian by Richard A. The last three chapters are devoted to limit theorems, a detailed treatment of Markov chains, continuous Markov processes.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. Here the readers, with some knowledge of mathematics, will find an excellent treatment of the elements of probability together with numerous applications.

Probability Theory: A Concise Course Dover Books on Mathematics #ad - The clear exposition, the ample illustrations and problems, index, the cross-references, and bibliography make this book useful for self-study or the classroom. Dr. Each of the eight chapters and four appendixes has been equipped with numerous relevant problems 150 of them, many with hints and answers. Professor Y.

Dover Publications. He then covers bernoulli trials and the De Moivre-Laplace theorem, Poisson, which involve three important probability distributions binomial, and normal or Gaussian. Dover Publications. 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.

# Theoretical Physics Dover Books on Physics

Dover Publications #ad - Students will find no better one-volume coverage of so many essential topics; moreover, the book has been substantially revised and updated with additional material on Bessel functions, superconductivity, elastomers, spherical harmonics, since its first publication, and other subjects. The first four chapters review mathematical topics needed by theoretical and experimental physicists vector analysis, the calculus of variations, theory of vibrations and waves, theory of functions of a complex variable, mathematical representation of periodic phenomena, and more.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. Dover Publications. An elementary college textbook for students of math, engineering and the sciences in general.

Theoretical Physics Dover Books on Physics #ad - . Dover Publications. Dover Publications. This material is followed by exhaustive coverage of mechanics including elasticity and fluid mechanics, as well as relativistic mechanics, kinetic theory and statistical mechanics, and thorough discussions of thermodynamics, a highly detailed treatment of electromagnetic theory, 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. 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.

# Mechanics Dover Books on Physics

Dover Publications #ad - It is undoubtedly one of the most readable texts in the field. The emphasis is consistently on illuminating fundamental principles and in showing how they are embodied in a high number of real engineering and design problems concerning trusses, turbines, propellers, jacks, balances, linkages, gyroscopes, loaded cables, pendulums, hydraulic couplings, projectiles, brakes, fly ball engine governors, springs, cranks, hoists, anti-roll devices, beams, cantilevers, and hundreds of other mechanical systems and devices.Chapters cover discrete coplanar forces, impulse and momentum, work and energy, dynamics of a particle, Distributed Forces, Relative Motion, Space Forces, Trusses and Cables, Kinematics of Plane Motion, Beams, The Method of Work, Conditions of Equilibrium, Kinematics of a Point, Friction, Moments of Inertia, Dynamics of Plane Motion, and Gyroscopes.

Mechanics Dover Books on Physics #ad - 334 problems, all with answers. Mechanics is not a "heavy" book, despite the amount of material it covers and the clarity and exactness with which it treats this material. On the other hand, the work is so replete with engineering applications and actual design problems that it is as valuable as a reference to the practicing engineer as it is as a text or refresher for the general engineering student.

Dover Publications. List of equations. Dover Publications. First published over 40 years ago, this work has achieved the status of a classic among introductory texts on mechanics.