Ovidiu Calin's Books

Sub-Riemannian Geometry

General Theory and Examples

By: Ovidiu Calin,Der-Chen Chang

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Sub-Riemannian Geometry

General Theory and Examples

By: Ovidiu Calin,Der-Chen Chang

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

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Page Count

371

Publisher

Cambridge University Press

Published Date

ISBN 10

0521897300

ISBN 13

9780521897303

Electric and Hybrid Buses for Urban Transport

Energy Efficiency Strategies

By: Bogdan Ovidiu Varga,Calin Iclodean,Florin Mariasiu

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Electric and Hybrid Buses for Urban Transport

Energy Efficiency Strategies

By: Bogdan Ovidiu Varga,Calin Iclodean,Florin Mariasiu

This book provides a systematic assessment of the performance of electric and hybrid buses in urban areas on a daily basis and presents a complete set of technical scenarios to promote their efficient exploitation. It will also help readers understand how future buses will perform on specific roads and how the latest technologies can be integrated into existing fleets by proposing a methodology for evaluating the energy consumption for general and specific routes and scenarios. Covering all aspects relating to the daily use of electric and hybrid buses, including maintenance strategies, power train configuration, battery replacements, route evaluation, and charging speed, emphasis is placed on energy efficiency and effective implementation. Addressing key developments in intelligent vehicle technologies, the book presents innovative transportation technologies and a broad range of topics in transportation-related sustainability research, from vehicle systems and design, to mass transit systems.

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Page Count

321

Publisher

Springer

Published Date

ISBN 10

3319412493

ISBN 13

9783319412498

Autonomous Vehicles for Public Transportation

By: Călin Iclodean,Bogdan Ovidiu Varga,Nicolae Cordoș

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Autonomous Vehicles for Public Transportation

By: Călin Iclodean,Bogdan Ovidiu Varga,Nicolae Cordoș

This book presents an interdisciplinary approach to autonomous driving technology design and development. It discusses a methodology of simulation that allows specialists to evaluate autonomous vehicle sensors functionality and integration, energy flow, efficiency, range, and service under public transport. The design, calibration, and physical model behind each autonomous vehicle sensor and component is explained. For each specific vehicle, the powertrain is analyzed, and output results are presented through the use of specific automotive industrial software (IPG CarMaker). The book gives the reader a clear perspective of the key factors influencing the global functionality of autonomous shuttle buses with respect to both their inner components the variable exterior factors and an exhaustive legal perspective in relation of their presence on public roads.

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Page Count

461

Publisher

Springer Nature

Published Date

ISBN 10

3031146786

ISBN 13

9783031146787

Geometric Mechanics on Riemannian Manifolds

Applications to Partial Differential Equations

By: Ovidiu Calin,Der-Chen Chang

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Geometric Mechanics on Riemannian Manifolds

Applications to Partial Differential Equations

By: Ovidiu Calin,Der-Chen Chang

* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics

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Page Count

285

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644210

ISBN 13

9780817644215

Deep Learning Architectures

A Mathematical Approach

By: Ovidiu Calin

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Deep Learning Architectures

A Mathematical Approach

By: Ovidiu Calin

This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal approximators and information processors. The book bridges the gap between ideas and concepts of neural networks, which are used nowadays at an intuitive level, and the precise modern mathematical language, presenting the best practices of the former and enjoying the robustness and elegance of the latter. This book can be used in a graduate course in deep learning, with the first few parts being accessible to senior undergraduates. In addition, the book will be of wide interest to machine learning researchers who are interested in a theoretical understanding of the subject.

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Page Count

760

Publisher

Springer Nature

Published Date

ISBN 10

3030367215

ISBN 13

9783030367213

Deterministic And Stochastic Topics In Computational Finance

By: Ovidiu Calin

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Deterministic And Stochastic Topics In Computational Finance

By: Ovidiu Calin

What distinguishes this book from other texts on mathematical finance is the use of both probabilistic and PDEs tools to price derivatives for both constant and stochastic volatility models, by which the reader has the advantage of computing explicitly a large number of prices for European, American and Asian derivatives.The book presents continuous time models for financial markets, starting from classical models such as Black-Scholes and evolving towards the most popular models today such as Heston and VAR.A key feature of the textbook is the large number of exercises, mostly solved, which are designed to help the reader to understand the material.The book is based on the author's lectures on topics on computational finance for senior and graduate students, delivered in USA (Princeton University and EMU), Taiwan and Kuwait. The prerequisites are an introductory course in stochastic calculus, as well as the usual calculus sequence.The book is addressed to undergraduate and graduate students in Masters of Finance programs as well as to those who wish to become more efficient in their practical applications.Topics covered:

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Page Count

482

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813203102

ISBN 13

9789813203105

Stochastic Geometric Analysis With Applications

By: Ovidiu Calin

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Stochastic Geometric Analysis With Applications

By: Ovidiu Calin

This book is a comprehensive exploration of the interplay between Stochastic Analysis, Geometry, and Partial Differential Equations (PDEs). It aims to investigate the influence of geometry on diffusions induced by underlying structures, such as Riemannian or sub-Riemannian geometries, and examine the implications for solving problems in PDEs, mathematical finance, and related fields. The book aims to unify the relationships between PDEs, nonholonomic geometry, and stochastic processes, focusing on a specific condition shared by these areas known as the bracket-generating condition or Hörmander's condition. The main objectives of the book are:The intended audience for this book includes researchers and practitioners in mathematics, physics, and engineering, who are interested in stochastic techniques applied to geometry and PDEs, as well as their applications in mathematical finance and electrical circuits.

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Page Count

557

Publisher

World Scientific

Published Date

ISBN 10

981128329X

ISBN 13

9789811283291

Deterministic And Stochastic Topics In Computational Finance

By: Ovidiu Calin

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Deterministic And Stochastic Topics In Computational Finance

By: Ovidiu Calin

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Page Count

482

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813203102

ISBN 13

9789813203105

Geometric Mechanics on Riemannian Manifolds

Applications to Partial Differential Equations

By: Ovidiu Calin,Der-Chen Chang

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Geometric Mechanics on Riemannian Manifolds

Applications to Partial Differential Equations

By: Ovidiu Calin,Der-Chen Chang

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Page Count

285

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Springer Science & Business Media

Published Date

ISBN 10

0817644210

ISBN 13

9780817644215

Sub-Riemannian Geometry

General Theory and Examples

By: Ovidiu Calin

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Sub-Riemannian Geometry

General Theory and Examples

By: Ovidiu Calin

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

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Page Count

384

Published Date

ISBN 10

1107104149

ISBN 13

9781107104143

Heat Kernels for Elliptic and Sub-elliptic Operators

Methods and Techniques

By: Ovidiu Calin,Der-Chen Chang,Kenro Furutani,Chisato Iwasaki

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Heat Kernels for Elliptic and Sub-elliptic Operators

Methods and Techniques

By: Ovidiu Calin,Der-Chen Chang,Kenro Furutani,Chisato Iwasaki

This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.

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Page Count

444

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817649956

ISBN 13

9780817649951

Geometric Analysis on the Heisenberg Group and Its Generalizations

By: Ovidiu Calin

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Geometric Analysis on the Heisenberg Group and Its Generalizations

By: Ovidiu Calin

The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.

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Page Count

244

Published Date

ISBN 10

1470438291

ISBN 13

9781470438296

Geometric Modeling in Probability and Statistics

By: Ovidiu Calin,Constantin Udriste

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Geometric Modeling in Probability and Statistics

By: Ovidiu Calin,Constantin Udriste

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

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Page Count

375

Publisher

Springer

Published Date

ISBN 10

3319077783

ISBN 13

9783319077789

Autonomous Vehicles for Public Transportation

By: Călin Iclodean,Bogdan Ovidiu Varga,Nicolae Cordoș

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Autonomous Vehicles for Public Transportation

By: Călin Iclodean,Bogdan Ovidiu Varga,Nicolae Cordoș

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Solve jigsaw puzzle

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Page Count

461

Publisher

Springer Nature

Published Date

ISBN 10

3031146786

ISBN 13

9783031146787

Electric and Hybrid Buses for Urban Transport

Energy Efficiency Strategies

By: Bogdan Ovidiu Varga,Calin Iclodean,Florin Mariasiu

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Electric and Hybrid Buses for Urban Transport

Energy Efficiency Strategies

By: Bogdan Ovidiu Varga,Calin Iclodean,Florin Mariasiu

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Page Count

321

Publisher

Springer

Published Date

ISBN 10

3319412493

ISBN 13

9783319412498

Electric and Plug-In Hybrid Vehicles

Advanced Simulation Methodologies

By: Bogdan Ovidiu Varga,Florin Mariasiu,Dan Moldovanu,Calin Iclodean

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Electric and Plug-In Hybrid Vehicles

Advanced Simulation Methodologies

By: Bogdan Ovidiu Varga,Florin Mariasiu,Dan Moldovanu,Calin Iclodean

This book is designed as an interdisciplinary platform for specialists working in electric and plug-in hybrid electric vehicles powertrain design and development, and for scientists who want to get access to information related to electric and hybrid vehicle energy management, efficiency and control. The book presents the methodology of simulation that allows the specialist to evaluate electric and hybrid vehicle powertrain energy flow, efficiency, range and consumption. The mathematics behind each electric and hybrid vehicle component is explained and for each specific vehicle the powertrain is analyzed and output results presented through the use of specific automotive industrial software (AVL Cruise , IPG CarMaker, AVL Concerto). This methodology of electric and hybrid powertrain design serves to broaden understanding of how the energy flow, efficiency, range and consumption of these vehicles can be adjusted, updated and predicted via development processes.

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Page Count

536

Publisher

Springer

Published Date

ISBN 10

3319186396

ISBN 13

9783319186399

Book's by Ovidiu Calin

Sub-Riemannian Geometry

Sub-Riemannian Geometry

Electric and Hybrid Buses for Urban Transport

Electric and Hybrid Buses for Urban Transport

Autonomous Vehicles for Public Transportation

Autonomous Vehicles for Public Transportation

Geometric Mechanics on Riemannian Manifolds

Geometric Mechanics on Riemannian Manifolds

Deep Learning Architectures

Deep Learning Architectures

Deterministic And Stochastic Topics In Computational Finance

Deterministic And Stochastic Topics In Computational Finance

Stochastic Geometric Analysis With Applications

Stochastic Geometric Analysis With Applications

Deterministic And Stochastic Topics In Computational Finance

Deterministic And Stochastic Topics In Computational Finance

Geometric Mechanics on Riemannian Manifolds

Geometric Mechanics on Riemannian Manifolds

Sub-Riemannian Geometry

Sub-Riemannian Geometry

Heat Kernels for Elliptic and Sub-elliptic Operators

Heat Kernels for Elliptic and Sub-elliptic Operators

Geometric Analysis on the Heisenberg Group and Its Generalizations

Geometric Analysis on the Heisenberg Group and Its Generalizations

Geometric Modeling in Probability and Statistics

Geometric Modeling in Probability and Statistics

Autonomous Vehicles for Public Transportation

Autonomous Vehicles for Public Transportation

Electric and Hybrid Buses for Urban Transport

Electric and Hybrid Buses for Urban Transport

Electric and Plug-In Hybrid Vehicles

Electric and Plug-In Hybrid Vehicles

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