How To Derive A Formula - Volume 1: Basic Analytical Skills And Methods For Physical Scientists
How To Derive A Formula - Volume 1: Basic Analytical Skills And Methods For Physical Scientists

Author: Alexei A Kornyshev

Publisher: World Scientific

Published: 2020-02-26

Total Pages: 702

ISBN-13: 1786346362

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Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery.Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject — familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences.This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.

How To Derive A Formula - Volume 2: Further Analytical Skills And Methods For Physical Scientists
How To Derive A Formula - Volume 2: Further Analytical Skills And Methods For Physical Scientists

Author: Alexei A Kornyshev

Publisher: World Scientific

Published: 2023-07-21

Total Pages: 766

ISBN-13: 1800612818

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Will artificial intelligence make scientific formulae redundant by eventually solving all current and future physical problems? The authors of this book would argue that there is still a vital role for humans to play in making sense of the laws of nature. To derive a formula one follows a series of steps, only the last of which is to check that the result is correct. The book is about unravelling this machinery.Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject: familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Learners could lose motivation, not seeing the wood for the trees.This two-volume book How to Derive a Formula is an attempt to engage learners by presenting mathematical methods in as simple terms as possible, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigour, it teaches students from scratch using pertinent examples, many taken from across the physical sciences to demonstrate the application of the methods taught.This book draws on humour and historical facts to provide an interesting new perspective on what a mathematics textbook could be. The two volumes are presented as an ascent to Everest. Volume 1 covered the necessary basics, taking readers from Base Camp to Camps 1 and 2. This volume moves readers from Camp 2 up to Camps 3 and 4, tackling more advanced methods for deriving formulae. Inevitably, Volume 2 requires readers to tackle more challenging terrain than was experienced in Volume 1 and so is targeted at more advanced students.

Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions
Application-driven Quantum And Statistical Physics: A Short Course For Future Scientists And Engineers - Volume 3: Transitions

Author: Jean-michel Gillet

Publisher: World Scientific

Published: 2020-06-18

Total Pages: 341

ISBN-13: 1786347903

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Bridging the gap between traditional books on quantum and statistical physics, this series is an ideal introductory course for students who are looking for an alternative approach to the traditional academic treatment.This pedagogical approach relies heavily on scientific or technological applications from a wide range of fields. For every new concept introduced, an application is given to connect the theoretical results to a real-life situation. Each volume features in-text exercises and detailed solutions, with easy-to-understand applications.This third volume covers several basic and more advanced subjects about transitions in quantum and statistical physics. Part I describes how the quantum statistics of fermions and bosons differ and under what condition they can merge into the classical-particle-statistics framework seen in Volume 2. This section also describes the fundamentals of conductors, semiconductors, superconductors, superfluids and Bose-Einstein condensates. Part II introduces time-dependent transitions between quantum states. The time evolution of a simple two-level model gives the minimum background necessary to understand the principles behind lasers and their numerous applications. Time-dependent perturbation theory is also covered, as well as standard approaches to the scattering of massive particles. A semi-classical treatment of electromagnetic field-matter interaction is described with illustrations taken from a variety of processes such as phonon scattering, charge distribution or spin densities. The third and last part of the book gives a brief overview of quantum electrodynamics with applications to photon absorption or emission spectroscopies and a range of scattering regimes. There follows a short introduction to the role of multiphoton processes in quantum entanglement based experiments.

How to Derive a Formula
How to Derive a Formula

Author: A. A. Kornyshev

Publisher: Wspc (Europe)

Published: 2020

Total Pages: 0

ISBN-13: 9781786346445

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V. 1. Basic analytical skills and methods for physical scientists -- v. 2. Further analytical skills and methods for physical scientists.

Electromagnetism - Principles And Modern Applications: With Exercises And Solutions
Electromagnetism - Principles And Modern Applications: With Exercises And Solutions

Author: Christopher White

Publisher: World Scientific

Published: 2023-03-14

Total Pages: 290

ISBN-13: 1800613636

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Electromagnetism is one of the four fundamental forces in nature, and underlies almost everything we experience in our daily lives, whether we realise it or not. The complete theory was first written down in the late 19th century, and remains an essential part of a scientific education. The mathematics behind the theory, however, can be intimidatingly complex. Furthermore, it is not always clear to beginners why the theory is either useful or interesting, nor how it relates to modern research in theoretical physics.The aim of this book is to guide students towards a detailed understanding of the full theory of electromagnetism, including its practical applications. Later chapters introduce more modern formulations of the theory than are found in traditional undergraduate courses, thus bridging the gap between a first course in electromagnetism, and the advanced concepts needed for further study in physics. The final chapter reviews exciting current research stating that possible theories of (quantum) gravity may be much more closely related to electromagnetism than previously thought.Throughout the book, an informal conversational style is used to demystify intimidating concepts. Relevant mathematical ideas are introduced in a self-contained manner, and exercises are provided with full solutions to aid understanding. This book is essential reading for anyone undertaking a physics degree, but will also be of interest to engineers and chemists.

How to Derive a Formula
How to Derive a Formula

Author: Alexei A Kornyshev

Publisher: Wspc (Europe)

Published: 2023

Total Pages: 0

ISBN-13: 9781800612976

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Will artificial intelligence make scientific formulae redundant by eventually solving all current and future physical problems? The authors of this book would argue that there is still a vital role for humans to play in making sense of the laws of nature. To derive a formula one follows a series of steps, only the last of which is to check that the result is correct. The book is about unravelling this machinery. Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject: familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Learners could lose motivation, not seeing the wood for the trees. This two-volume book How to Derive a Formula is an attempt to engage learners by presenting mathematical methods in as simple terms as possible, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigour, it teaches students from scratch using pertinent examples, many taken from across the physical sciences to demonstrate the application of the methods taught. This book draws on humour and historical facts to provide an interesting new perspective on what a mathematics textbook could be. The two volumes are presented as an ascent to Everest. Volume 1 covered the necessary basics, taking readers from Base Camp to Camps 1 and 2. This volume moves readers from Camp 2 up to Camps 3 and 4, tackling more advanced methods for deriving formulae. Inevitably, Volume 2 requires readers to tackle more challenging terrain than was experienced in Volume 1 and so is targeted at more advanced students.

Feedback Systems
Feedback Systems

Author: Karl Johan Åström

Publisher: Princeton University Press

Published: 2021-02-02

Total Pages:

ISBN-13: 069121347X

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The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Mathematical Methods in the Physical Sciences
Mathematical Methods in the Physical Sciences

Author: Mary L. Boas

Publisher: John Wiley & Sons

Published: 2006

Total Pages: 868

ISBN-13: 9788126508105

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Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering.

The Book of Why
The Book of Why

Author: Judea Pearl

Publisher: Basic Books

Published: 2018-05-15

Total Pages: 432

ISBN-13: 0465097618

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A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence "Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.