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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,... | | An Introduction to Relativistic Quantum Field TheoryIn a relatively simple presentation that remains close to familiar concepts, this text for upper-level undergraduates and graduate students introduces modern developments of quantum field theory. "Combines thorough knowledge with a high degree of didactic ability and a delightful style." — Mathematical Reviews. 1961... | | Elementary Theory of Numbers (Dover books on advanced mathematics)In the past few years there has been a great resurgence of interest in mathematics on both the secondary and undergraduate levels, and a growing recognition that the courses traditionally offered do not exhaust the mathematics which it is both possible and desirable to teach at those levels. Of course, not aU of modern mathematics is accessible;... |
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The Continuum: A Critical Examination of the Foundation of AnalysisConcise classic consists of two chapters dealing with the conceptual problem posed by the continuum—the set of all real numbers. Chapter One deals with the logic and mathematics of set and function, while Chapter Two focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in... | | 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.
... | | Elementary Concepts of Topology
Concise work presents topological concepts in clear, elementary fashion without sacrificing their profundity or exactness. Author proceeds from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups.
FEW BRANCHES of geometry have... |
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Theoretical PhysicsClassic 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.
... | | Challenging Problems in Algebra (Dover Books on Mathematics)Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided. ... | | Theory of Relativity
THIRTY-FIVE years ago this article on the theory of relativity, written by me at the rather young age of 21 years for the Mathematical Encyclopedia, was first published as a separate monograph together with a preface by Sommerfeld, who as the editor of this volume of the Encyclopedia was responsible for my authorship. It was the aim of the... |
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