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Set Theory and Logic
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Linear Algebra and Matrix Theory
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Futures and Options
Presents a simple, integrative approach to understanding the nature and use of derivative asset contracts. The authors combine their expertise and comprehensible writing style in this new book to convey technical material in an applied manner.
Logic for Mathematicians
Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.
Introduction to the Theory of Sets
This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
Set Theory
Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject.
Set Theory: The Structure of Arithmetic
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, authors Norman T. Hamilton and Joseph Landin lead readers through a construction of the natural number system, discussing the integers and the rational numbers, and concluding with an in-depth examination of the real numbers. Drawn from lecture notes for a course intended primarily for high school mathematics teachers, this volume was designed to answer the question, "What is a number?" and to provide a foundation for the study of abstract algebra, elementary Euclidean geometry, and analysis. Upon completion of this treatment — which is suitable for high school mathematics teachers and advanced high school students — readers should be well prepared for introductory courses in abstract algebra and real variables.
EPR Spectroscopy
This unique, self-contained resource is the first volume on electron paramagnetic resonance (EPR) spectroscopy in the eMagRes Handbook series. The 27 chapters cover the theoretical principles, the common experimental techniques, and many important application areas of modern EPR spectroscopy. EPR Spectroscopy: Fundamentals and Methods is presented in four major parts: A: Fundamental Theory, B: Basic Techniques and Instrumentation, C: High-Resolution Pulse Techniques, and D: Special Techniques. The first part of the book gives the reader an introduction to basic continuous-wave (CW) EPR and an overview of the different magnetic interactions that can be determined by EPR spectroscopy, their as...
Axiomatic Set Theory
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
