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1

Nott, Bob. Transformation offormulae. London: Institution of Electrical and Electronics Incorporated Engineers, 1987.

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2

Brabetz, Ludwig. Wechselströme, drehstrom, leitungen, anwendungen der fourier-, der laplace- und der z-transformation. Berlin: Walter de Gruyter GmbH & Co. KG, 2015.

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3

Keener, James P. Principles of applied mathematics: Transformation and approximation. Redwood City, Calif: Addison Wesley, Advanced Book Program, 1988.

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4

Bojanczyk, Adam. Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1996.

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5

Jian-hua, Wang, ed. Transformation methods for nonlinear partial differential equations. Singapore: World Scientific, 1992.

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6

Shevlin, F. Geometric transformation of images. Dublin: Trinity College, Department of Computer Science, 1992.

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7

Tolimieri, Richard. Mathematics of multidimensional Fourier transform algorithms. Edited by An Myoung, Lu Chao 1959-, and Burrus C. S. 2nd ed. New York: Springer, 1997.

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8

Uniqueness theorems for variational problems by the method of transformation groups. Berlin: Springer, 2004.

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9

Chow, K. W. Solitons, bilinear transformation and theta functions. Reading, Mass: Longman, 1997.

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10

Rudolf, Rabenstein, ed. Digital sound synthesis by physical modeling using the functional transformation method. New York: Kluwer Academic/Plenum Publishers, 2003.

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11

Oberhettinger, Fritz. Tables of Fourier transforms and Fourier transforms of distributions. Berlin: Springer-Verlag, 1990.

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12

Distribution theory: Convolution, fourier transform, and laplace transform. Berlin: De Gruyter, 2013.

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13

Myoung, An, and Lu Chao 1959-, eds. Algorithms for discrete fourier transform and convolution. New York: Springer-Verlag, 1989.

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14

Myoung, An, and Lu Chao 1959-, eds. Algorithms for discrete Fourier transform and convolution. 2nd ed. New York: Springer, 1997.

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15

James, J. F. A student's guide to Fourier transforms: With applications in physics and engineering. 2nd ed. Cambridge, U.K: Cambridge University Press, 2002.

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16

A student's guide to Fourier transforms: With applications in physics and engineering. Cambridge: Cambridge University Press, 1995.

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17

Circuit analysis fundamentals. Chicago, IL: Agile Press, 2005.

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18

The Fourier transform and its applications. 3rd ed. Boston: McGraw Hill, 2000.

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19

The Fourier transform and its applications. 2nd ed. New York: McGraw-Hill, 1986.

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20

Beardon, Alan F. The geometry of discrete groups. 2nd ed. New York: Springer, 1995.

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21

1980-, Blazquez-Sanz David, Morales Ruiz, Juan J. (Juan José), 1953-, and Lombardero Jesus Rodriguez 1961-, eds. Symmetries and related topics in differential and difference equations: Jairo Charris Seminar 2009, Escuela de Matematicas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, R.I: American Mathematical Society, 2011.

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22

Grove, Anthony C. An Introduction to the Laplace Transform and the Z Transform. Prentice Hall, 1991.

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23

Applied Laplace Transforms And Z-transforms For Scientists And Engineers: A Computational Approach Using A Mathematica Package. Birkhauser, 2004.

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24

Graf, Urs. Applied Laplace Transforms and z-Transforms for Scientists and Engineers: A Computational Approach Using a Mathematica Package. Birkhäuser Basel, 2004.

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25

Transformation Geometry: An Introduction to Symmetry. Springer, 2011.

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26

Martin, George E. Transformation Geometry: An Introduction To Symmetry. Springer, 2011.

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27

Keener, James P. Principles of Applied Mathematics: Transformation and Approximation (Advanced Book Program). Perseus Books Group, 2000.

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28

1964-, Bommel Patrick van, ed. Transformation of knowledge, information and data: Theory and applications. Hershey, PA: Information Science Publishing, 2004.

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29

Bommel, Patrick Van. Transformation of Knowledge, Information and Data: Theory and Applications. Information Science Publishing, 2004.

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30

Martin, George E. Transformation Geometry: An Introduction to Symmetry (Undergraduate Texts in Mathematics). Springer, 1996.

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31

Application of the Laplace-Borel transformation to the representation of analytical solutions of Duffing's equation. [Washington, DC]: National Aeronautics and Space Administration, 1989.

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32

Phase characteristics and time responses of unknown linear systems determined from measured CW amplitude data. Boulder, Colo: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1991.

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33

Oetting, Gregg T. Non-linear transformation based design. 1994.

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34

1933-, Poularikas Alexander D., ed. The transforms and applications handbook. 2nd ed. Boca Raton, Fla: CRC Press, 2000.

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35

Chen, M., M. O. Thompson, R. B. Schwarz, and M. Libera. Phase Transformation Kinetics in Thin Films: Volume 230. University of Cambridge ESOL Examinations, 2014.

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36

Deutsch, Ralph. Nonlinear Transformations of Random Processes. Dover Publications, Incorporated, 2018.

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37

Park, Dae-hyun. Detection and diagnosis of parameters change in linear system using time-frequency transformation. 1991.

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38

Choosing a transformation in analyses of insect counts from contagious distributions with low means. Asheville, NC: U.S. Dept. of Agriculture, Forest Service, Southern Research Station, 1997.

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39

(Editor), V. V. Brazhkin, S. V. Buldyrev (Editor), V. N. Ryzhov (Editor), and H. E. Stanley (Editor), eds. New Kinds of Phase Transitions: Transformation in Disordered Substances (NATO Science Series II: Mathematics, Physics and Chemistry). Springer, 2002.

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40

New Kinds of Phase Transitions: Transformation in Disordered Substances (NATO Science Series II: Mathematics, Physics and Chemistry). Springer, 2002.

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41

Trautmann, Lutz, and Rudolf Rabenstein. Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method. Springer, 2003.

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42

Trautmann, Lutz. Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method. Springer, 2012.

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43

M, Chen, ed. Phase transformation kinetics in thin films: Symposium held April 29-May 1, 1991, Anaheim, California, U.S.A. Pittsburgh, Pa: Materials Research Society, 1992.

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44

Center, Langley Research, ed. On the numerical formulation of parametric linear fractional transformation (LFT) uncertainty models for multivariate matrix polynomial problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1998.

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45

Chen, M., M. O. Thompson, and R. B. Schwarz. Phase Transformation Kinetics in Thin Films: Symposium Held April 29-May 1, 1991, Anaheim, California, U.S.A. (Materials Research Society Symposium Proceedings). Materials Research Society, 1992.

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46

1958-, Beerends R. J., ed. Fourier and Laplace transforms. Cambridge, U.K: Cambridge University Press, 2003.

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47

Beerends, R. J., H. G. ter Morsche, J. C. van den Berg, and E. M. van de Vrie. Fourier and Laplace Transforms. Cambridge University Press, 2003.

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48

Engelhardt, Nina. Modernism, Fiction and Mathematics. Edinburgh University Press, 2018. http://dx.doi.org/10.3366/edinburgh/9781474416238.001.0001.

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Modernism in mathematics – this unusual notion turns out to provide new perspectives on central questions in and beyond literary modernism. This books draws on prose texts by mathematicians and on historical and cultural studies of mathematics to introduce the so-called ‘foundational crisis of mathematics’ in the early twentieth century, and it analyses major novels that employ developments in mathematics as exemplary of wider modernist movements. The monograph focuses on Thomas Pynchon’s Against the Day (2006) and Gravity’s Rainbow (1973), Hermann Broch’s novel trilogy The Sleepwalkers (1930-32), and Robert Musil’s The Man without Qualities (1930/32). These novels accord mathematics and its modernist transformation a central place in their visions and present it as interrelated with political, linguistic, epistemological and ethical developments in the modern West. Not least, the texts explore the freedoms and opportunities that the mathematical crisis implies and relate the emerging notion of ‘fictional’ characteristics of mathematics to the possibilities of literature. By exploring how the novels accord mathematics a central role as a particularly telling indicator of modernist transformations, this book argues that imaginative works contribute to establishing mathematics as part of modernist culture. The monograph thus opens up new frames of textual and cultural analysis that help understand the modernist condition from the interdisciplinary perspective of literature and mathematics studies, and it demonstrates the necessity to account for the specificity of mathematics in the field of literature and science studies.
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49

Grenander, Ulf, and Michael I. Miller. Pattern Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198505709.001.0001.

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Pattern Theory provides a comprehensive and accessible overview of the modern challenges in signal, data, and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aimed at graduate students in biomedical engineering, mathematics, computer science, and electrical engineering with a good background in mathematics and probability, the text includes numerous exercises and an extensive bibliography. Additional resources including extended proofs, selected solutions and examples are available on a companion website. The book commences with a short overview of pattern theory and the basics of statistics and estimation theory. Chapters 3-6 discuss the role of representation of patterns via condition structure. Chapters 7 and 8 examine the second central component of pattern theory: groups of geometric transformation applied to the representation of geometric objects. Chapter 9 moves into probabilistic structures in the continuum, studying random processes and random fields indexed over subsets of Rn. Chapters 10 and 11 continue with transformations and patterns indexed over the continuum. Chapters 12-14 extend from the pure representations of shapes to the Bayes estimation of shapes and their parametric representation. Chapters 15 and 16 study the estimation of infinite dimensional shape in the newly emergent field of Computational Anatomy. Finally, Chapters 17 and 18 look at inference, exploring random sampling approaches for estimation of model order and parametric representing of shapes.
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