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Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics.
Mathematician, physicist, and astronomer, William
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Theoretical Physics
Theoretical Physics
Classic one-volume treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by extensive coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics. Indispensable reference for graduates and undergraduates.
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Advanced Number Theory
Advanced Number Theory
Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables.

The prerequisites for this book
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Elementary Real and Complex Analysis (Dover Books on Mathematics)
Elementary Real and Complex Analysis (Dover Books on Mathematics)
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems...
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal,...
Mathematics of Classical and Quantum Physics
Mathematics of Classical and Quantum Physics
This book is designed as a companion to the graduate level physics texts on classical mechanics, electricity, magnetism, and quantum mechanics. It grows out of a course given at Columbia University and taken by virtually all first year graduate students as a fourth basic course, thereby eliminating the need to cover this mathematical material in a...
An Introduction to Matrices, Sets and Groups for Science Students
An Introduction to Matrices, Sets and Groups for Science Students
THIS book is written primarily for undergraduate students of science and engineering, and presents an elementary introduction to some of the major branches of modern algebra - namely, matrices, sets and groups. Of these three topics, matrices are of especial importance at undergraduate level, and consequently more space is devoted to their study...
Journey into Mathematics: An Introduction to Proofs (Dover Books on Mathematics)
Journey into Mathematics: An Introduction to Proofs (Dover Books on Mathematics)
Instructors have observed, when teaching junior level courses in abstract algebra, number theory, or real variables, that many students have difficulty out of proportion to the level of difficulty of the material. In an abstract algebra course introducing groups and rings, students' struggles are not affected by the changing of texts, instructors,...
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction...
The Log Cabin Book: A Complete Builder's Guide to Small Homes and Shelters
The Log Cabin Book: A Complete Builder's Guide to Small Homes and Shelters

This vintage guide from over a century ago offers timeless, practical advice on building log cabins. Plans and directions for simple structures are easy enough for amateurs to follow; time and inclination are the only necessary elements. Each of the designs has been tested and allows numberless alterations to suit the builder's tastes and...

Introduction to the Geometry of Complex Numbers
Introduction to the Geometry of Complex Numbers
The present work briefly develops the lectures which we have given since 1930 to the engineering candidates who chose the section of electromechanics at the Faculte polytechnique de Mons.

A memoir by Steinmetz 1 emphasized the simplifying role that can be played by the geometric interpretation of complex numbers in the
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What is Mathematical Logic?
What is Mathematical Logic?
This lively introduction to mathematical logic, easily accessible to non-mathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel’s theorems, computability and recursivefunctions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.
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