https://mklab.gr/ Wed, 29 Jul 2026 07:18:05 +0000 MyBB https://mklab.gr/showthread.php?tid=569 Mon, 22 Jun 2026 11:04:19 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=569 Seeing circles, sines and signals, 
BY Jack Schaedler

Summary

Circles, Sines, and Signals by Jack Schaedler is an interactive visual introduction to digital signal processing (DSP) that explains the ideas behind sine waves, sampling, and the Discrete Fourier Transform (DFT) through animations, graphics, and sound rather than traditional equations alone. 

The tutorial builds intuition by showing how sine and cosine waves emerge from circular motion (phasors), how complex signals can be created by combining simple waves, and how Fourier analysis breaks signals into their frequency components. 

It also explores concepts such as continuous vs. discrete signals, correlation, phase, and reconstruction, helping readers understand why the Fourier Transform is so powerful in areas like audio processing, communications, and data analysis. 

BOOK PAGE]]> Seeing circles, sines and signals, 
BY Jack Schaedler

Summary

Circles, Sines, and Signals by Jack Schaedler is an interactive visual introduction to digital signal processing (DSP) that explains the ideas behind sine waves, sampling, and the Discrete Fourier Transform (DFT) through animations, graphics, and sound rather than traditional equations alone. 

The tutorial builds intuition by showing how sine and cosine waves emerge from circular motion (phasors), how complex signals can be created by combining simple waves, and how Fourier analysis breaks signals into their frequency components. 

It also explores concepts such as continuous vs. discrete signals, correlation, phase, and reconstruction, helping readers understand why the Fourier Transform is so powerful in areas like audio processing, communications, and data analysis. 

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=377 Sun, 14 Jun 2026 23:11:27 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=377 by Leo Brin

Summary 
Tea Time Numerical Analysis: Experiences in Mathematics by Leon Q. Brin is a free, open-source introductory textbook designed for a one-semester undergraduate course in numerical analysis. Written in a conversational style, it covers the fundamental topics of the subject—including error analysis, root-finding methods, interpolation, numerical differentiation and integration, and ordinary differential equations—while emphasizing the underlying mathematics rather than engineering applications. 
The book combines theory, proofs, worked examples, exercises, and open-source computational tools such as Octave, and is accompanied by numerous code examples, interactive applets, and supplementary materials. Its goal is to provide an accessible yet rigorous introduction to numerical methods for mathematics students, offering a complete, freely available alternative to traditional commercial textbooks.

BOOK]]> by Leo Brin

Summary 
Tea Time Numerical Analysis: Experiences in Mathematics by Leon Q. Brin is a free, open-source introductory textbook designed for a one-semester undergraduate course in numerical analysis. Written in a conversational style, it covers the fundamental topics of the subject—including error analysis, root-finding methods, interpolation, numerical differentiation and integration, and ordinary differential equations—while emphasizing the underlying mathematics rather than engineering applications. 
The book combines theory, proofs, worked examples, exercises, and open-source computational tools such as Octave, and is accompanied by numerous code examples, interactive applets, and supplementary materials. Its goal is to provide an accessible yet rigorous introduction to numerical methods for mathematics students, offering a complete, freely available alternative to traditional commercial textbooks.

BOOK]]> https://mklab.gr/showthread.php?tid=318 Sat, 13 Jun 2026 13:15:15 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=318 An Introduction to Statistical Signal Processing 
Robert M. Gray, Lee D. Davisson


Summary  This book describes the essential tools and techniques of statistical signal processing. At every stage theoretical ideas are linked to specific applications in communications and signal processing using a range of carefully chosen examples.

BOOK PAGE]]> An Introduction to Statistical Signal Processing 
Robert M. Gray, Lee D. Davisson


Summary  This book describes the essential tools and techniques of statistical signal processing. At every stage theoretical ideas are linked to specific applications in communications and signal processing using a range of carefully chosen examples.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=317 Sat, 13 Jun 2026 13:12:45 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=317 Foundations of Signal Processing 
Martin Vetterli, Jelena Kovacevic, Vivek K Goyal

Summary
This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using these tools, and ways of adapting them to overcome problems of finiteness and localization, the limitations of uncertainty, and computational costs. It includes over 160 homework problems and over 220 worked examples, specifically designed to test and expand students' understanding of the fundamentals of signal processing, and is accompanied by extensive online materials designed to aid learning, including Mathematica® resources and interactive demonstrations.

BOOK PAGE]]> Foundations of Signal Processing 
Martin Vetterli, Jelena Kovacevic, Vivek K Goyal

Summary
This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using these tools, and ways of adapting them to overcome problems of finiteness and localization, the limitations of uncertainty, and computational costs. It includes over 160 homework problems and over 220 worked examples, specifically designed to test and expand students' understanding of the fundamentals of signal processing, and is accompanied by extensive online materials designed to aid learning, including Mathematica® resources and interactive demonstrations.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=315 Sat, 13 Jun 2026 13:00:36 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=315 Advanced Numerical Methods and Their Applications to Industrial Problems 
Alfred Schmidt, Arsen Narimanyan

Summary  Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods is a foundational lecture note and coursework series developed by Prof. Alfred Schmidt and Arsen Narimanyan. It bridges mathematical theory with practical engineering, focusing on using adaptive mesh generation and Finite Element Methods (FEM) to solve Partial Differential Equations (PDEs) in industrial scenarios

BOOK PAGE]]> Advanced Numerical Methods and Their Applications to Industrial Problems 
Alfred Schmidt, Arsen Narimanyan

Summary  Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods is a foundational lecture note and coursework series developed by Prof. Alfred Schmidt and Arsen Narimanyan. It bridges mathematical theory with practical engineering, focusing on using adaptive mesh generation and Finite Element Methods (FEM) to solve Partial Differential Equations (PDEs) in industrial scenarios

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=314 Sat, 13 Jun 2026 12:57:45 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=314 Lectures In Basic Computational Numerical Analysis
J. M. McDonough

Summary  Lectures in Basic Computational Numerical Analysis is a foundational open-source textbook authored by Dr. J. M. McDonough, a professor in the Departments of Mechanical Engineering and Mathematics at the University of Kentucky. It serves as an essential, high-level introduction to applied mathematical algorithms

BOOK PAGE]]> Lectures In Basic Computational Numerical Analysis
J. M. McDonough

Summary  Lectures in Basic Computational Numerical Analysis is a foundational open-source textbook authored by Dr. J. M. McDonough, a professor in the Departments of Mechanical Engineering and Mathematics at the University of Kentucky. It serves as an essential, high-level introduction to applied mathematical algorithms

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=313 Sat, 13 Jun 2026 12:55:27 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=313 Numerical Analysis 
L. Ridgway Scott

Summary  Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.

BOOK PAGE]]> Numerical Analysis 
L. Ridgway Scott

Summary  Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=312 Sat, 13 Jun 2026 12:51:45 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=312 A Concise Introduction to Numerical Analysis 
Douglas N. Arnold

Summary "A Concise Introduction to Numerical Analysis" by Douglas N. Arnold is a rigorous, proof-based textbook that explores the mathematical foundations, error bounds, and stability of algorithms used in scientific computing. Structured into six comprehensive chapters, the text moves from foundational approximation theory (such as polynomial interpolation and splines) and numerical integration to the direct and iterative methods of linear algebra, including matrix factorizations and error conditioning. It then covers iterative techniques for solving nonlinear systems and optimization problems, before concluding with detailed mathematical frameworks for solving differential equations using one-step, multi-step, finite difference, and finite element methods. Throughout, Arnold emphasizes a highly theoretical approach, analyzing every computational method through the critical lenses of accuracy, efficiency, and stability against floating-point errors.

BOOK PAGE]]> A Concise Introduction to Numerical Analysis 
Douglas N. Arnold

Summary "A Concise Introduction to Numerical Analysis" by Douglas N. Arnold is a rigorous, proof-based textbook that explores the mathematical foundations, error bounds, and stability of algorithms used in scientific computing. Structured into six comprehensive chapters, the text moves from foundational approximation theory (such as polynomial interpolation and splines) and numerical integration to the direct and iterative methods of linear algebra, including matrix factorizations and error conditioning. It then covers iterative techniques for solving nonlinear systems and optimization problems, before concluding with detailed mathematical frameworks for solving differential equations using one-step, multi-step, finite difference, and finite element methods. Throughout, Arnold emphasizes a highly theoretical approach, analyzing every computational method through the critical lenses of accuracy, efficiency, and stability against floating-point errors.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=256 Wed, 10 Jun 2026 03:59:57 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=256 Mathematics for the Physical Sciences
by Leslie Copley

Summary  A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics. The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems.

BOOK PAGE]]> Mathematics for the Physical Sciences
by Leslie Copley

Summary  A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics. The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=246 Wed, 10 Jun 2026 03:30:36 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=246 Numerical Methods for Large Eigenvalue Problems
by Yousef Saad

Summary  This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications.

BOOK PAGE]]> Numerical Methods for Large Eigenvalue Problems
by Yousef Saad

Summary  This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=225 Wed, 10 Jun 2026 02:20:39 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=225 Numerical Methods Course Notes
by Steven E. Pav

Summary   A "Crash" Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations

BOOK PAGE]]> Numerical Methods Course Notes
by Steven E. Pav

Summary   A "Crash" Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=81 Wed, 03 Jun 2026 22:54:02 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=81 Title : An Introduction to Contemporary Mathematics
Author: John Hutchinson
Publisher: Australian National University 2010

Summary :  The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics

BOOK PAGE]]> Title : An Introduction to Contemporary Mathematics
Author: John Hutchinson
Publisher: Australian National University 2010

Summary :  The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=72 Mon, 01 Jun 2026 22:45:35 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=72 Εφαρμοσμένα Μαθηματικά
Υπότιτλος: Διαφορικές Εξισώσεις, Μιγαδικές Συναρτήσεις και Ολοκληρωτικοί Μετασχηματισμοί
Συγγραφείς: Τσίτσας, Νικόλαος

Το βιβλίο προσφέρει μια ενοποιημένη παρουσίαση των [b]Συνήθων Διαφορικών Εξισώσεων, των Μιγαδικών Συναρτήσεων και των Μετασχηματισμών Fourier, εστιάζοντας στις εφαρμογές τους στις φυσικές, τεχνολογικές επιστήμες και την Πληροφορική.
Η ύλη χωρίζεται σε τρία αντίστοιχα μέρη:[/b]

• [b]Συνήθεις Διαφορικές Εξισώσεις: Μελέτη ύπαρξης λύσεων (καθαρά Μαθηματικά), μεθοδολογίες υπολογισμού τους (εφαρμοσμένα Μαθηματικά) και χρήση τους στη μαθηματική μοντελοποίηση.[/b]
  
• [b]Μιγαδικές Συναρτήσεις: Παρουσίαση ισχυρών τεχνικών και εργαλείων που χρησιμοποιούνται για τη μοντελοποίηση εφαρμογών σε άλλες επιστήμες.[/b]
  
• [b]Σειρές και Μετασχηματισμοί Fourier: Ολοκληρωτική αναπαράσταση συναρτήσεων και η χρήση τους για τη μετάβαση από το πεδίο του χρόνου/χώρου στο πεδίο των συχνοτήτων.[/b]
  

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SOURCE]]> Εφαρμοσμένα Μαθηματικά
Υπότιτλος: Διαφορικές Εξισώσεις, Μιγαδικές Συναρτήσεις και Ολοκληρωτικοί Μετασχηματισμοί
Συγγραφείς: Τσίτσας, Νικόλαος

Το βιβλίο προσφέρει μια ενοποιημένη παρουσίαση των [b]Συνήθων Διαφορικών Εξισώσεων, των Μιγαδικών Συναρτήσεων και των Μετασχηματισμών Fourier, εστιάζοντας στις εφαρμογές τους στις φυσικές, τεχνολογικές επιστήμες και την Πληροφορική.
Η ύλη χωρίζεται σε τρία αντίστοιχα μέρη:[/b]

• [b]Συνήθεις Διαφορικές Εξισώσεις: Μελέτη ύπαρξης λύσεων (καθαρά Μαθηματικά), μεθοδολογίες υπολογισμού τους (εφαρμοσμένα Μαθηματικά) και χρήση τους στη μαθηματική μοντελοποίηση.[/b]
  
• [b]Μιγαδικές Συναρτήσεις: Παρουσίαση ισχυρών τεχνικών και εργαλείων που χρησιμοποιούνται για τη μοντελοποίηση εφαρμογών σε άλλες επιστήμες.[/b]
  
• [b]Σειρές και Μετασχηματισμοί Fourier: Ολοκληρωτική αναπαράσταση συναρτήσεων και η χρήση τους για τη μετάβαση από το πεδίο του χρόνου/χώρου στο πεδίο των συχνοτήτων.[/b]
  

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SOURCE]]>