Introduction To Mathematical Thinking

Author: Friedrich Waismann
Publisher: Courier Corporation
ISBN: 0486167429
Size: 23.49 MB
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Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.

Concepts Of Modern Mathematics

Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Size: 57.26 MB
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Mathematics

Author: A. D. Aleksandrov
Publisher: Courier Corporation
ISBN: 0486157873
Size: 69.90 MB
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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

Introductory Real Analysis

Author: A. N. Kolmogorov
Publisher: Courier Corporation
ISBN: 0486134741
Size: 33.43 MB
Format: PDF
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Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.

Calculus Of Variations

Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486135012
Size: 16.38 MB
Format: PDF
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Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Explorations In Mathematical Physics

Author: Don Koks
Publisher: Springer Science & Business Media
ISBN: 0387309438
Size: 21.36 MB
Format: PDF
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Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.

A History Of Mathematics

Author: Carl B. Boyer
Publisher: John Wiley & Sons
ISBN: 0470630566
Size: 71.75 MB
Format: PDF, Docs
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The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Matrices And Linear Algebra

Author: Hans Schneider
Publisher: Courier Corporation
ISBN: 0486139301
Size: 29.40 MB
Format: PDF, ePub, Mobi
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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Advanced Mathematical Thinking

Author: David Tall
Publisher: Springer Science & Business Media
ISBN: 0306472031
Size: 11.36 MB
Format: PDF, ePub, Mobi
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This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Modern Quantum Chemistry

Author: Attila Szabo
Publisher: Courier Corporation
ISBN: 0486134598
Size: 49.39 MB
Format: PDF, Docs
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This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.