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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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Advanced Euclidean Geometry (Dover Books on Mathematics)
Advanced Euclidean Geometry (Dover Books on Mathematics)
Tms book deals with the geometry of the triangle and the circle, as developed extensively in the nineteenth century by British and Continental writers. This geometry, based entirely on the elementary plane geometry of Euclid or its modern equivalent, is rapidly coming to its due recognition as excellent material for college courses. Perhaps in no...
Mathematics for the Physical Sciences
Mathematics for the Physical Sciences
Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems....
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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Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Hölder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion...
Ordinary Differential Equations
Ordinary Differential Equations
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...
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...
An Encyclopedia of Battles: Accounts of Over 1,560 Battles from 1479 B.C. to the Present
An Encyclopedia of Battles: Accounts of Over 1,560 Battles from 1479 B.C. to the Present
Essential details of every major battle on land and sea in recorded history, from the first battle of Megiddo in 1479 B.C. to the Grenada conflict in 1984. Included: strategic situations, roles played by political/military leaders, troop numbers and training, tactics and objectives, casualties and losses and military/political consequences. Index....
Fundamental Formulas of Physics, Vol. 2
Fundamental Formulas of Physics, Vol. 2
Volume 2 of a two-volume set, this important work covers basic mathematical formulas, statistics, nomograms, physical constants, classical mechanics, special and general theories of relativity, hydrodynamics and aerodynamics, boundary value problems in mathematical physics, heat and thermodynamics, statistical mechanics, kinetic theory of...
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...
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...
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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