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Hill's Equation. Part I. General Theory... (Paperback): W. Magnus Hill's Equation. Part I. General Theory... (Paperback)
W. Magnus
R295 R277 Discovery Miles 2 770 Save R18 (6%) Ships in 12 - 17 working days

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Hill's Equation. II - Transformations, Approximation, Examples... (Paperback): W. Magnus Hill's Equation. II - Transformations, Approximation, Examples... (Paperback)
W. Magnus
R334 R317 Discovery Miles 3 170 Save R17 (5%) Ships in 12 - 17 working days

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

The Coexistence Problem for Hill's Equation (Hardcover): Stanley Winkler, W. Magnus The Coexistence Problem for Hill's Equation (Hardcover)
Stanley Winkler, W. Magnus
R762 Discovery Miles 7 620 Ships in 10 - 15 working days
The History of Combinatorial Group Theory - A Case Study in the History of Ideas (Paperback, Softcover reprint of the original... The History of Combinatorial Group Theory - A Case Study in the History of Ideas (Paperback, Softcover reprint of the original 1st ed. 1982)
B. Chandler, W. Magnus
R2,535 Discovery Miles 25 350 Ships in 10 - 15 working days

One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study."

Markov Chains with Stationary Transition Probabilities (Paperback, Softcover reprint of the original 1st ed. 1960): Kai Lai... Markov Chains with Stationary Transition Probabilities (Paperback, Softcover reprint of the original 1st ed. 1960)
Kai Lai Chung; Edited by R Grammel, F. Hirzebruch, E Hopf, H. Maak, …
R1,468 Discovery Miles 14 680 Ships in 10 - 15 working days

The theory of Markov chains, although a special case of Markov processes, is here developed for its own sake and presented on its own merits. In general, the hypothesis of a denumerable state space, which is the defining hypothesis of what we call a "chain" here, generates more clear-cut questions and demands more precise and definitive an swers. For example, the principal limit theorem ( 1. 6, II. 10), still the object of research for general Markov processes, is here in its neat final form; and the strong Markov property ( 11. 9) is here always applicable. While probability theory has advanced far enough that a degree of sophistication is needed even in the limited context of this book, it is still possible here to keep the proportion of definitions to theorems relatively low. . From the standpoint of the general theory of stochastic processes, a continuous parameter Markov chain appears to be the first essentially discontinuous process that has been studied in some detail. It is common that the sample functions of such a chain have discontinuities worse than jumps, and these baser discontinuities play a central role in the theory, of which the mystery remains to be completely unraveled. In this connection the basic concepts of separability and measurability, which are usually applied only at an early stage of the discussion to establish a certain smoothness of the sample functions, are here applied constantly as indispensable tools.

The Coexistence Problem for Hill's Equation: Stanley Winkler, W. Magnus The Coexistence Problem for Hill's Equation
Stanley Winkler, W. Magnus
R407 Discovery Miles 4 070 Ships in 10 - 15 working days
Vorlesungen UEber Allgemeine Funktionentheorie Und Elliptische Funktionen (German, Paperback, 4th Softcover Reprint of the... Vorlesungen UEber Allgemeine Funktionentheorie Und Elliptische Funktionen (German, Paperback, 4th Softcover Reprint of the Original 4th 1964 ed.)
Adolf Hurwitz, Richard Courant; Edited by J.L. Doob, E. Heinz, F. Hirzebruch, …
R2,296 Discovery Miles 22 960 Ships in 10 - 15 working days

Vorwort zur dritten Auflage Auch in der dritten Auflage haben die von HURWITZ herriihrenden beiden erst en Abschnitte keine Anderungen erfahren, abgesehen von Verbesserungen und Erganzungen in Einzelheiten. Der dritte Abschnitt jedoch ist wiederum in vielen Punkten erweitert und umgestaltet worden. Es solI dadurch erreicht werden, daB er eine wirklich vollstandig un- abhangig von den vorangehenden Abschnitten lesbare Darstellung der Funktionentheorie vom geometrischen Standpunkt aus gibt und auch den Zugang zu den neueren Spezialforschungen offnet. Eine kleine Ver- mehrung des Umfanges war dabei nicht zu vermeiden. Gottingen, im Oktober 1929. R. COURANT. Vorwort zur vierten Auflage Seit dem Erscheinen der dritten Auflage ist die Theorie der Funk- tionen einer komplexen Veranderlichen in mancher Hinsicht weiter ent- wickelt worden, vielfach in der Richtung auf groBere Allgemeinheit und Abstraktion in der Form sowie in der Substanz. Als der Wunsch nach einer neuen Auflage von vielen Seiten ausgedriickt wurde, schien es un- tunlich, einen veranderten Neudruck vorzulegen; das Problem entstand, wie den neueren Entwicklungen Rechnung getragen werden konnte, ohne den spezifischen Charakter des Werkes zu beeeintrachtigen.

Theorie Und Anwendung Der Unendlichen Reihen (German, Paperback, 5th 5. Aufl. 1964. Softcover Reprint of the Original 5th 1964... Theorie Und Anwendung Der Unendlichen Reihen (German, Paperback, 5th 5. Aufl. 1964. Softcover Reprint of the Original 5th 1964 ed.)
Konrad Knopp; Edited by J.L. Doob, E. Heinz, F. Hirzebruch, E Hopf, …
R1,661 Discovery Miles 16 610 Ships in 10 - 15 working days

Das Fundament, auf dem das Gebaude der hoheren Analysis ruht, ist die Lehre von den reellen Zahlen. Unausweichlich hat jede strenge Behandlung der Grundlagen der Differential- und Integralrechnung und der anschlieBenden Gebiete, ja selbst schon die strenge Behand- lung etwa der Wurzel-oder Logarithmenrechnung hier ihren Ausgangs- punkt zu nehmen. Sie erst schafft das Material. in dem dann Arithmetik und Analysis fast ausschlieBlich arbeiten, mit dem sie bauen konnen. Nicht von jeher war das Geftihl flir diese Notwendigkeit vorhanden. Die groBen Schopfer der Infinitesimalrechnung - LEIBNIZ und NEWfONl - und die nicht weniger groBen Ausgestalter derselben, 2 unter denen vor aHem EULER zu nennen ist, waren zu berauscht von dem gewaltigen Erkenntnisstrom, der aus den neu erschlossenen Quellen floB, als daB sie sich zu einer Kritik der Grundlagen veranlaBt fiihlten. Der Erfolg der neuen Methode war ihnen eine hinreichende Gewlihr fUr die Tragfestigkeit ihres Fundamentes. Erst als jener Strom abzuebben begann, wagte sich die kritische Analyse an die Grund- begriffe: etwa urn die Wende des 18. Jahrhunderts, vor aHem unter 3 dem machtigen EinfluB von GAUSS wurden solche Bestrebungen starker und sHirker. Aber es wahrte noch fast ein Jahrhundert, ehe hier die wesentlichsten Dinge als vollig geklart angesehen werden durften.

Algebraic Aspects in the Theory of Systems of Linear Differential Equations (Paperback): W. Magnus Algebraic Aspects in the Theory of Systems of Linear Differential Equations (Paperback)
W. Magnus
R343 Discovery Miles 3 430 Ships in 10 - 15 working days
The Discriminant of Hill's Equation (Paperback): W. Magnus The Discriminant of Hill's Equation (Paperback)
W. Magnus
R346 Discovery Miles 3 460 Ships in 10 - 15 working days
Numerical Data Concerning the Effectiveness of Antennas (Paperback): P. Rabinowitz, W. Magnus Numerical Data Concerning the Effectiveness of Antennas (Paperback)
P. Rabinowitz, W. Magnus
R346 Discovery Miles 3 460 Ships in 10 - 15 working days
Perturbation Methods in a Problem of Waveguide Theory (Hardcover): David Fox, W. Magnus Perturbation Methods in a Problem of Waveguide Theory (Hardcover)
David Fox, W. Magnus
R749 Discovery Miles 7 490 Ships in 10 - 15 working days
An Infinite System of Linear Equations Arising in Diffraction Theory (Hardcover): W. Magnus An Infinite System of Linear Equations Arising in Diffraction Theory (Hardcover)
W. Magnus
R680 Discovery Miles 6 800 Ships in 10 - 15 working days
Maximal Gains of Antennas (Hardcover): N Newman, W. Magnus Maximal Gains of Antennas (Hardcover)
N Newman, W. Magnus
R751 Discovery Miles 7 510 Ships in 10 - 15 working days
Transcendental Equations in Electromagnetic Theory (Hardcover): Leon Kotin, W. Magnus Transcendental Equations in Electromagnetic Theory (Hardcover)
Leon Kotin, W. Magnus
R683 Discovery Miles 6 830 Ships in 10 - 15 working days
The Exponential Solution for the Homogeneous Linear Differential Equation of the Second Order (Hardcover): J. Mariani, W. Magnus The Exponential Solution for the Homogeneous Linear Differential Equation of the Second Order (Hardcover)
J. Mariani, W. Magnus
R678 Discovery Miles 6 780 Ships in 10 - 15 working days
A Fourier Theorem for Matrices (Hardcover): W. Magnus A Fourier Theorem for Matrices (Hardcover)
W. Magnus
R678 Discovery Miles 6 780 Ships in 10 - 15 working days
The Discriminant of Hill's Equation (Hardcover): W. Magnus The Discriminant of Hill's Equation (Hardcover)
W. Magnus
R685 Discovery Miles 6 850 Ships in 10 - 15 working days
Infinite Determinants in the Theory of Mathieu's and Hill's Equations (Hardcover): W. Magnus Infinite Determinants in the Theory of Mathieu's and Hill's Equations (Hardcover)
W. Magnus
R683 Discovery Miles 6 830 Ships in 10 - 15 working days
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