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"The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithms--a critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in high-performance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing."

"The DFT: An Owner's Manual for the Discrete Fourier Transform explores both the practical and theoretical aspects of the DFT, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems.Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT."

"Telah dilakukan penelitian mengenai aplikasi teknologi FTIR untuk mendeteksi masa subur lutung jawa (Trachypithecus auratus) betina. Penelitian ini bertujuan untuk mengetahui bilangan gelombang yang merepresentasikan gugus fungsi dari hormon metabolit estrone conjugate (E1C) maupun pregnanediol-3-glucuronide (PdG) pada sampel urine lutung jawa dan dikaitkan dengan pengamatan perilaku dan pembengkakan, data yang didapat digunakan untuk mengetahui apakah hasil FTIR bersifat universal atau spesifik.antar spesies. Penelitian dilakukan dengan mengambil sampel urine dari dua lutung jawa betina dan dianalisis menggunakan FTIR. Penelitian ini juga mengambil data penunjang yaitu, data perilaku dan data foto genital. Data perilaku yang didapat tidak menunjukkan adanya interaksi seksual antara kedua betina yang menunjukkan sedang estrus. Hasil foto genital yang didapat menunjukkan pembengkakan yang terjadi hanya sampai pada pembengkakan sebagian. Analisis sampel urine menunjukkan E1C teridentifikasi melalui gugus fungsi alkil, aromatik dan hidroksil pada bilangan gelombang 596 cm-1, 698 cm-1, dan 3599 cm-1. PdG teridentifikasi pada gugus fungsi alkil dan aldehid pada bilangan gelombang 1450 cm-1 dan 1699 cm-1.

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Research on technological application of FTIR to detect the fertility period of female javan lutung (Trachypithecus auratus) has been conducted. The aims of this research was to determine the wavenumbers that represented the functional groups of hormone metabolites estrone conjugate (E1C) and pregnanediol-3- glucuronide (PdG) on urine sampels of javan lutung and tied the data with behavioral and swelling observation, the attained data were used to determine whether FTIR results are universal or specific interspecies.

Research was carried out by taking urine samples from two females of javan lutung and measured by using FTIR. This study also use supporting data, which is behavioral data and genital photos. The behavioral data obtained indicate a lack of sexual interactions between the two females, which needed to show that they were estrus.

Resulting genital images obtained, showed that the only swelling that occurs was partial swelling. Analysis of urine samples showed that estrone conjugate (E1C) was identified on functional group of alkyl, aromatic, and hydroxyl at wave numbers 596 cm-1, 698 cm-1, and 3599 cm-1. Pregnanediol-3-glucuronide (PdG) was identified on functional group of alkyl and aldehyde at wave numbers 1450 cm-1 and 1699 cm-1."