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1
Posted: March 1st, 2008, 6:20pm CET
The first edition of this book sold more than 100,000 copies-and this new edition will show you why! Schaum's Outline of Discrete Mathematics shows you step by step how to solve the kind of problems you're going to find on your exams. And this new edition features all the latest applications of discrete mathematics to computer science! This guide can be used as a supplement, to reinforce and strengthen the work you do with your class text. (It works well with virtually any discrete mathematics textbook.) But it is so comprehensive that it can even be used alone as a text in discrete mathematics or as independent study tool!
From the Back Cover
Master discrete mathematics and ace your exams with this easy-to-use guide that reinforces problem-solving skills and reduces your study time! Students of discrete mathematics love Schaum's----the first edition of this book was a major bestseller----and this edition will show you why!
Schaum's Outline of Discrete Mathematics lets you focus on the problems that are at the heart of the subject. It cuts your study time by eliminating the extraneous material that clutters up so many textbooks.
As you study at your own pace, this guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full solutions. Hundreds of additional problems let you test your skills, then check the answers. And this edition features all the latest applicatio Read more...

Posted: February 7th, 2008, 11:33am CET
This book treats the Mathematics of many important areas in digital information processing.
It covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, Data Reduction. The thematic choices are practice-oriented. So, the important final part of the book deals with the Discrete Cosine Transform and the Discrete Wavelet Transform, acting in image compression. The presentation is dense, the examples and numerous exercises are concrete. The pedagogic architecture follows increasing mathematical complexity. A read-and-learn book on Concrete Mathematics, for teachers, students and practitioners in Electronic Engineering, Computer Science and Mathematics.
Contents
1 Data Compaction
1.1 Entropy Coding
1.1.1 Discrete Sources and Their Entropy
1.1.2 Towards Huffman Coding
1.1.3 Arithmetic Coding
1.2 Universal Codes: The Example LZW
1.2.1 LZW Coding
1.2.2 The LZW Decoder
2 Cryptography
2.1 The Data Encryption Standard
2.1.1 The DES Scheme
2.1.2 The Cipher DES in Detail
2.2 The Advanced Encryption Standard: The Cipher Rijndael
2.2.1 Some Elementary Arithmetic
2.2.2 Specification of Rijndael
2.2.3 The Key Schedule
2.2.4 Decryption with Rijndael
2.3 The Public Key Paradigm and the Cryptosystem RSA
2.3.1 Encryption and Decryption via Exponentiation
2.3.2 The Cryptosystem RSA
2.4 Digital Signatures
2.4.1 Message Digests via SHA-1
2.4.2 DSA: Digital Signature Algorithm
2.4.3 Auxiliary Algori Read more...

Posted: September 30th, 2007, 10:53pm CEST
Draft of "Mathematics of the Discrete Fourier Transform (DFT)," by J.O. Smith, CCRMA, Stanford, Winter 2002. The latest draft as linked HTML version are available on-line at http://www-ccrma.stanford.edu/~jos/mdft/.
Book Excerpts:
The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier Transform. However, the DFT has its own exact Fourier theory, which is the main focus of this book. The DFT is normally encountered in practice as the Fast Fourier Transform (FFT) -- a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (e.g., MPEG-II AAC), spectral modeling sound synthesis, and many other applications; some of these will be discussed in Chapter 8.
This book chooses to discuss DFT over the FT since the FT demands readers to use calculus right off the bat, while the DFT, on the other hand, replaces the infinite integral with a finite sum of various quantities. Calculus is not needed to define the DFT (or its inverse, as this book will show), and with finite summation limits, readers cannot encounter difficulties with infinities. Moreover, in the field of digital signal processing, signals and spectra are processed only in sampled form, so that the DFT is what readers really need anyway. In s Read more...

Posted: March 1st, 2008, 6:20pm CET
The first edition of this book sold more than 100,000 copies-and this new edition will show you why! Schaum's Outline of Discrete Mathematics shows you step by step how to solve the kind of problems you're going to find on your exams. And this new edition features all the latest applications of discrete mathematics to computer science! This guide can be used as a supplement, to reinforce and strengthen the work you do with your class text. (It works well with virtually any discrete mathematics textbook.) But it is so comprehensive that it can even be used alone as a text in discrete mathematics or as independent study tool!
From the Back Cover
Master discrete mathematics and ace your exams with this easy-to-use guide that reinforces problem-solving skills and reduces your study time! Students of discrete mathematics love Schaum's----the first edition of this book was a major bestseller----and this edition will show you why!
Schaum's Outline of Discrete Mathematics lets you focus on the problems that are at the heart of the subject. It cuts your study time by eliminating the extraneous material that clutters up so many textbooks.
As you study at your own pace, this guide shows you step by step how to solve the kind of problems you're going to find on your exams. It gives you hundreds of completely worked problems with full solutions. Hundreds of additional problems let you test your skills, then check the answers. And this edition features all the latest applicatio Read more...

Posted: February 7th, 2008, 11:33am CET
This book treats the Mathematics of many important areas in digital information processing.
It covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, Data Reduction. The thematic choices are practice-oriented. So, the important final part of the book deals with the Discrete Cosine Transform and the Discrete Wavelet Transform, acting in image compression. The presentation is dense, the examples and numerous exercises are concrete. The pedagogic architecture follows increasing mathematical complexity. A read-and-learn book on Concrete Mathematics, for teachers, students and practitioners in Electronic Engineering, Computer Science and Mathematics.
Contents
1 Data Compaction
1.1 Entropy Coding
1.1.1 Discrete Sources and Their Entropy
1.1.2 Towards Huffman Coding
1.1.3 Arithmetic Coding
1.2 Universal Codes: The Example LZW
1.2.1 LZW Coding
1.2.2 The LZW Decoder
2 Cryptography
2.1 The Data Encryption Standard
2.1.1 The DES Scheme
2.1.2 The Cipher DES in Detail
2.2 The Advanced Encryption Standard: The Cipher Rijndael
2.2.1 Some Elementary Arithmetic
2.2.2 Specification of Rijndael
2.2.3 The Key Schedule
2.2.4 Decryption with Rijndael
2.3 The Public Key Paradigm and the Cryptosystem RSA
2.3.1 Encryption and Decryption via Exponentiation
2.3.2 The Cryptosystem RSA
2.4 Digital Signatures
2.4.1 Message Digests via SHA-1
2.4.2 DSA: Digital Signature Algorithm
2.4.3 Auxiliary Algori Read more...

Posted: November 21st, 2007, 3:32pm CET by iNDEx

Throughout banking, mathematical techniques are used. Some of these are within software products or models; mathematicians use others to analyse data. The current literature on the subject is either very basic or very advanced.
The Mathematics of Banking offers an intermediate guide to the various techniques used in the industry, and a consideration of how each one should be approached. Written in a practical style, it will enable readers to quickly appreciate the purpose of the techniques and, through illustrations, see how they can be applied in practice. Coverage is extensive and includes techniques such as VaR analysis, Monte Carlo simulation, extreme value theory, variance and many others.
