Tag: Mathematical

Mathematical Meditations


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English | 2025 | ISBN: 1032249064 | 180 Pages | PDF EPUB (True) | 61 MB
The Meditations in this book are the product of thousands of years of mathematical discourse. As you read through the book and work through the various exercises, you will discover new mechanisms that allow you to contemplate and understand some complex mathematical principles. However, the focus will always be wider than a mere dry comprehension of theory, as you will be encouraged to meditate upon the deeper intrinsic beauty of mathematics and what it can reveal to us about the world around us.

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Mathematical Foundations of Quantum Hydrodynamics


Free Download Mathematical Foundations of Quantum Hydrodynamics by Jamie Flux
English | September 22, 2024 | ISBN: N/A | ASIN: B0DHRNCW1J | 373 pages | PDF | 1.39 Mb
This advanced textbook introduces the concept of quantum hydrodynamics, emphasizing the role of water flow in influencing quantum states. It covers the derivation of governing equations, explores the analogies between hydrodynamic and quantum wavefunctions, and applies group theory to analyze symmetry breaking and coherence in quantum systems induced by fluid motion.

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TWENTY YEARS OF BIALOWIEZA A MATHEMATICAL ANTHOLOGY ASPECTS OF DIFFERENTIAL GEOMETRIC METHODS IN PHYSICS


Free Download S Twareque Ali, "TWENTY YEARS OF BIALOWIEZA: A MATHEMATICAL ANTHOLOGY: ASPECTS OF DIFFERENTIAL GEOMETRIC METHODS IN PHYSICS "
English | ISBN: 9812561463 | 2005 | 276 pages | PDF | 12 MB
This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic analysis. The present volume brings together a set of specially invited papers from leading experts in the various fields, who have contributed to these meetings and whose work represents a cross-section of the topics discussed. Consequently, rather than a proceedings volume, this book embodies the spirit of the Bialowieza workshops and reflects their scientific tenor, as a tribute to the completion of two decades of a shared scientific experience.This book will be of interest to researchers and graduate students working in the area of differential geometric methods in physics, as it gives interesting glimpses into the present state of the art from different points of view.

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Husserl’s Philosophy of Mathematical Practice


Free Download Mirja Hartimo, "Husserl’s Philosophy of Mathematical Practice "
English | ISBN: 1009165712 | 2024 | 75 pages | PDF | 2 MB
Husserl’s Philosophy of Mathematical Practice explores the applicability of the phenomenological method to philosophy of mathematical practice. The first section elaborates on Husserl’s own understanding of the method of radical sense-investigation (Besinnung), with which he thought the mathematics of his time should be approached. The second section shows how Husserl himself practiced it, tracking both constructive and platonistic features in mathematical practice. Finally, the third section situates Husserlian phenomenology within the contemporary philosophy of mathematical practice, where the examined styles are more diverse. Husserl’s phenomenology is presented as a method, not a fixed doctrine, applicable to study and unify philosophy of mathematical practice and the metaphysics implied in it. In so doing, this Element develops Husserl’s philosophy of mathematical practice as a species of Kantian critical philosophy and asks after the conditions of possibility of social and self-critical mathematical practices.

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Fundamentals of Mathematical Statistics


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English | 2023 | ISBN: 1032223820 | 336 Pages | EPUB (True) | 1 MB
Fundamentals of Mathematical Statistics is meant for a standard one-semester advanced undergraduate or graduate-level course in Mathematical Statistics. It covers all the key topics-statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability but includes an appendix with basic results from these areas. Throughout the text, there are numerous examples and graduated exercises that illustrate the topics covered, rendering the book suitable for teaching or self-study.

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Mathematical Engineering of Deep Learning (Chapman & HallCRC Data Science Series)


Free Download Mathematical Engineering of Deep Learning (Chapman & Hall/CRC Data Science Series) by Benoit Liquet, Sarat Moka, Yoni Nazarathy
English | October 3, 2024 | ISBN: 1032288280 | 414 pages | MOBI | 12 Mb
Mathematical Engineering of Deep Learning provides a complete and concise overview of deep learning using the language of mathematics. The book provides a self-contained background on machine learning and optimization algorithms and progresses through the key ideas of deep learning. These ideas and architectures include deep neural networks, convolutional models, recurrent models, long/short-term memory, the attention mechanism, transformers, variational auto-encoders, diffusion models, generative adversarial networks, reinforcement learning, and graph neural networks. Concepts are presented using simple mathematical equations together with a concise description of relevant tricks of the trade. The content is the foundation for state-of-the-art artificial intelligence applications, involving images, sound, large language models, and other domains. The focus is on the basic mathematical description of algorithms and methods and does not require computer programming. The presentation is also agnostic to neuroscientific relationships, historical perspectives, and theoretical research. The benefit of such a concise approach is that a mathematically equipped reader can quickly grasp the essence of deep learning.

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