Practical Conic Sections

Author: J. W. Downs
Publisher: Courier Corporation
ISBN: 9780486148885
Release Date: 2012-10-16
Genre: Mathematics

Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.

The Creation of the Universe

Author: George Gamow
Publisher: Courier Corporation
ISBN: 0486438686
Release Date: 2004
Genre: Science

Lively and authoritative, this survey by a renowned physicist explains the formation of the galaxies and defines the concept of an ever-expanding universe in simple terms. 1961 edition. 40 figures.

Mathematical Foundations of Statistical Mechanics

Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
ISBN: 0486601471
Release Date: 1949
Genre: Mathematics

Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

The Mathematical Principles of Quantum Mechanics

Author: Derek F. Lawden
Publisher: Courier Corporation
ISBN: 9780486442235
Release Date: 2005
Genre: Science

Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.

Introduction to the Theory of Thermal Neutron Scattering

Author: Gordon Leslie Squires
Publisher: Courier Corporation
ISBN: 048669447X
Release Date: 1978
Genre: Science

Graduate-level monograph develops theoretical ideas in a relatively informal manner. Nuclear scattering, nuclear scattering by crystals, scattering by liquids, neutron optics, polarization analysis, much more. Problem examples at chapter ends. Prerequisites are some familiarity with basic concepts of quantum mechanics and solid state physics. Solutions. Bibliography. Appendixes. 1978 edition.

The Theory of Remainders

Author: Andrea Rothbart
Publisher: Courier Dover Publications
ISBN: CORNELL:31924102696303
Release Date: 2005
Genre: Mathematics

An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam. Ant leads Gnam through a variety of theories, and together, they put the theories into action—applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and developing intriguing modifications to the rules of chess. Appropriate for anyone familiar with algebra at the high-school level, The Theory of Remainders offers a captivating introduction to both number theory and abstract algebra. Both elementary and challenging, it provides a view of mathematics as a conceptual net and illustrates the differences between conceptual and paraconceptual claims—an excellent start to expanding students' perspectives on mathematics. Exercises throughout the book form an integral part of the text, extending students' experience with the concepts under discussion and presenting opportunities to observe patterns. In addition to the exercises, a series of optional problems allows more advanced readers to further develop the concepts.

Integral Equations

Author: Benjamin Lawrence Moiseiwitsch
Publisher: Courier Corporation
ISBN: 0486441628
Release Date: 2005
Genre: Mathematics

Geared toward upper-level undergraduate students, this text begins with a straightforward account, accompanied by simple examples of a variety of integral equations and the methods of their solution. The treatment becomes gradually more abstract, with discussions of Hilbert space and linear operators, the resolvent, Fredholm theory, and more. 1977 edition.

Theory of Markov Processes

Author: Evgeniĭ Borisovich Dynkin
Publisher: Dover Books on Mathematics
ISBN: CORNELL:31924104934710
Release Date: 1961
Genre: Mathematics

An investigation of the logical foundations of the theory behind Markov random processes, this text explores subprocesses, transition functions, and conditions for boundedness and continuity. Rather than focusing on probability measures individually, the work explores connections between functions. An elementary grasp of the theory of Markov processes is assumed. Starting with a brief survey of relevant concepts and theorems from measure theory, the text investigates operations that permit an inspection of the class of Markov processes corresponding to a given transition function. It advances to the more complicated operations of generating a subprocess, followed by examinations of the construction of Markov processes with given transition functions, the concept of a strictly "Markov process," and the conditions required for boundedness and continuity of a Markov process. Addenda, notes, references, and indexes supplement the text.

Almost All about Waves

Author: John R. Pierce
ISBN: UCSC:32106019142436
Release Date: 2006
Genre: Science

This text considers waves the great unifying concept of physics, employing minimal mathematics to explore behavior common to earthquake waves, ocean waves, sound waves, and mechanical waves. 1974 edition.

Differential Topology

Author: Andrew H. Wallace
Publisher: Courier Corporation
ISBN: 0486453170
Release Date: 2006
Genre: Mathematics

Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds. No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions for further reading and study.

Jacob Steiner s Vorlesungen ber synthetische Geometrie

Author: Jakob Steiner
Publisher: Рипол Классик
ISBN: HARVARD:32044079968392
Release Date: 1867
Genre: History

Theil 1: Die Theorie der Kegelschnitte in elementarer Darstellung. Auf Grund von Universit?tsvortr?gen und mit Benutzung hinterlassener manuscripte Jacob Steiner's bearbeitet von Dr. C. F. Geiser. Theil 2: Die Theorie der Kegelschnitte, gest?tzt auf projectivische Eigenschaften. Auf Grund von Universit?tsvortr?gen und mit Benutzung hinterlassener manuscripte Jacob Steiner's bearbeitet von Dr. Heinrich Schr?ter.

Anschauliche Geometrie

Author: David Hilbert
Publisher: Springer-Verlag
ISBN: 9783642199486
Release Date: 2011-04-13
Genre: Mathematics

1932 erstmals erschienen, hat der Klassiker der Geometrie bis heute nichts von seiner Frische und Kraft eingebüßt. Die weltbekannten Autoren stellen in dem Band zugrundeliegende Leitmotive und verblüffende Zusammenhänge in der Geometrie verständlich dar. David Hilbert, dessen Ziel es war, die Faszination der Geometrie zu vermitteln, schrieb im Vorwort: „Das Buch soll dazu dienen, die Freude an der Mathematik zu mehren, indem es dem Leser erleichtert, in das Wesen der Mathematik einzudringen, ohne sich einem beschwerlichen Studium zu unterziehen".

Geometrie der Lage

Author: Karl Georg Christian von Staudt
ISBN: BSB:BSB10082875
Release Date: 1847
Genre: Curves