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The Science of Human Possibilities
  • Language: en

The Science of Human Possibilities

  • Type: Book
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  • Published: 2024-07-23
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  • Publisher: Unknown

Delve into the profound realm of human potential with The Science of Human Possibilities, a transformative journey that unveils the inherent talents and divinity within every individual. Kumar Murty, a distinguished mathematician and scholar deeply rooted in the Indian teachings of Vedanta, brings over four decades of expertise in mathematics as a revered professor at the University of Toronto and Director of the Fields Institute for Research in Mathematical Sciences. Surrounded by brilliant minds in the realms of math and science, Murty has witnessed the untapped talents within each student who crossed his classroom threshold. Embark on a quest to unlock the boundless capabilities of the mi...

Smart Villages
  • Language: en
  • Pages: 511

Smart Villages

This book brings together technical expertise, best practices, case studies and ground-level application of the ideas for empowering the rural population of the world to live economically prosperous, environmentally sustainable, and socially progressive lives, on par or comparable with the quality of life enjoyed by the global urban population. The idea of Smart Villages takes on greater urgency in light of the investments made in this millennium on “Smart Cities”, taking advantage of the technological advances, particularly in digital connectivity. These investments have and will continue to expand the urban-rural divide, unless similar investments are made in the villages as well. The ...

Number Theory Related to Modular Curves: Momose Memorial Volume
  • Language: en
  • Pages: 232

Number Theory Related to Modular Curves: Momose Memorial Volume

This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to discussing Momose's contributions as well as recent work and new results.

Mathematics of Public Health
  • Language: en
  • Pages: 349

Mathematics of Public Health

Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic. A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to su...

Research Schools on Number Theory in India
  • Language: en
  • Pages: 187

Research Schools on Number Theory in India

This book is an attempt to describe the gradual development of the major schools of research on number theory in South India, Punjab, Mumbai, Bengal, and Bihar—including the establishment of Tata Institute of Fundamental Research (TIFR), Mumbai, a landmark event in the history of research of number theory in India. Research on number theory in India during modern times started with the advent of the iconic genius Srinivasa Ramanujan, inspiring mathematicians around the world. This book discusses the national and international impact of the research made by Indian number theorists. It also includes a carefully compiled, comprehensive bibliography of major 20th century Indian number theorist...

Sieve Methods, Exponential Sums, and Their Applications in Number Theory
  • Language: en
  • Pages: 360

Sieve Methods, Exponential Sums, and Their Applications in Number Theory

State-of-the-art analytic number theory proceedings.

Algebraic Curves and Cryptography
  • Language: en
  • Pages: 142

Algebraic Curves and Cryptography

Focusing on the theme of point counting and explicit arithmetic on the Jacobians of curves over finite fields the topics covered in this volume include Schoof's $\ell$-adic point counting algorithm, the $p$-adic algorithms of Kedlaya and Denef-Vercauteren, explicit arithmetic on the Jacobians of $C_{ab}$ curves and zeta functions.

Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures
  • Language: en
  • Pages: 238

Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures

This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17–21, 2014 and February 24–28, 2014, at the Centre International de Rencontres Mathématiques, Marseille, France. This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.

Non-vanishing of L-Functions and Applications
  • Language: en
  • Pages: 205

Non-vanishing of L-Functions and Applications

This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field.

Advanced Machine Intelligence and Signal Processing
  • Language: en
  • Pages: 859

Advanced Machine Intelligence and Signal Processing

This book covers the latest advancements in the areas of machine learning, computer vision, pattern recognition, computational learning theory, big data analytics, network intelligence, signal processing, and their applications in real world. The topics covered in machine learning involve feature extraction, variants of support vector machine (SVM), extreme learning machine (ELM), artificial neural network (ANN), and other areas in machine learning. The mathematical analysis of computer vision and pattern recognition involves the use of geometric techniques, scene understanding and modeling from video, 3D object recognition, localization and tracking, medical image analysis, and so on. Compu...