English books

This collection brings together the five books of the series "concepts of physics". The books cover the following topics: complex numbers, special relativity, the mathematics for quantum mechanics, the Dirac equation, relativity, decays and electromagnetic fields. These are basic concepts of physics, indispensable for its complete understanding.

paperback edition

This collection brings together the five books of the series "concepts of physics". The books cover the following topics: complex numbers, special relativity, the mathematics for quantum mechanics, the Dirac equation, relativity, decays and electromagnetic fields. These are basic concepts of physics, indispensable for its complete understanding.

paperback edition

The most important topics related to the first mathematics exams at University, in degree courses such as physics, mathematics or engineering are the study of the series of functions, the calculations of integrals and the study of a function. This book is intended to be the ideal reference to learn how to solve the typical exam exercises. We propose and solve original exercises of various types and difficulties, with extensive comments.

paperback edition

The series of functions represents one of the typical topics present in the first mathematics exams at the University, in degree courses such as physics, mathematics or engineering. This book is intended to be the ideal reference learn how to solve the typical exam exercises. We propose and solve original exercises of various types and difficulties, with extensive comments. In the first chapter there are the texts of the exercises, in the second only the results, while the third chapter is dedicated to their detailed and complete solutions.

paperback edition

The integral calculus represents one of the most important topics found in the first mathematics exams at University, in degree courses such as physics, mathematics or engineering. This book is intended to be the ideal reference to learn how to solve the typical exam exercises. We propose and solve original exercises of various types and difficulties, with extensive comments. In the first chapter there are the texts of the exercises, the second chapter contains only the results, while the third chapter is dedicated to detailed and complete solutions of the proposed exercises.

paperback edition

The study of a function represents one of the most important topics present in the first mathematics exams at the University, in degree courses such as physics, mathematics or engineering. This book is intended to be the ideal reference to learn how to solve the typical exam exercises. We propose and solve original exercises of various types and difficulties, with extensive comments. In the first chapter there are the texts of the exercises, while the second chapter is dedicated to their detailed and complete solutions.

paperback edition

Quantum physics has upset the way of thinking of many scientists, convinced, at the beginning of the twentieth century, that they understood all the fundamental principles that govern nature.The greatest certainties gained by science in previous centuries began to waver in the face of new discoveries that literally revolutionized modern physics, including Einstein's relativity who practically reformulated Newton's laws, redefining the underlying background, and the advent of quantum mechanics. The latter has also changed the certainties that seemed definitive, with the introduction of the probability density of the presence of a particle and its consequences, such as the tunnel effect, and with the famous Heisenberg uncertainty principle, all concepts that go against common sense. To explain the experimental results obtained by observing the microscopic world, it was necessary to formulate new theories to overcome the failure of the classic ones which were formulated by observing nature only from the macroscopic point of view.

paperback edition

This book aims to provide solid bases for the study of physics for the university and it is divided into four parts, each dedicated to a fundamental branch of physics: quantum mechanics, theoretical physics, particle physics and condensed matter physics. In the first part we start with the concept of wave function, until the Heisenberg uncertainty principle. In the second part, after recalling the basic concepts of relativity, we treat the elementary particles and the hadrons, arriving to the notions of scattering and cross section. The third part is dedicated to the theoretical physics, where we analyze the field theory and the concepts of Lagrangian and Hamiltonian, introducing the quantum electrodynamics (QED), passing through the Klein-Gordon, Dirac and Maxwell fields. In the last part of the book we expose the basics of the condensed matter physics, including diffusion and Brownian motion, Drude and Sommerfeld models, the calculation of specific heat and the principal mechanical properties of solids, with references to lattice defects and semiconductors.

paperback edition

This book on mathematical analysis is intended for both high school and college students to prepare for math exams. The main topics covered are trigonometry, limits, sequences and series, derivatives, integrals. The text contains graphs, figures and examples of application of the theory with various recall to physics. In the second part of the book we propose and solve various original exercises.

paperback edition

Physics studies nature, written in mathematical language and formulates the laws that govern all the phenomena around us, starting from the smallest particle to the confines of the Universe. Physics has evolved over time, expanding its role, going so far as to shake the foundations of the other already established sciences.

paperback edition

This book contains brief lessons on electronics easy to understand for a varied audience of readers. The topics covered are: electrical circuits, binary numbers, insulators, conductors, wires, voltage and current, switches and buttons, resistors and electrical resistance, electric power, energy consumption, logic gates, resistors in series and in parallel, integrated circuits, relay, divider, potentiometer, alternating current.

paperback edition

This book is dedicated to the mathematics of differential operators: gradient; divergence; curl. After recalling the most important properties of the concept of derivative of a one-variable function, we introduce the nabla operator, used to describe the three differential operators: gradient, divergence and curl. We discuss characteristics and properties of each operator, showing their formulas with detailed demonstrations. Finally, we consider all the possible mixed products between differential operators, such as the curl of curl of a vector function, showing all the mathematical steps to obtain the final expressions.

paperback edition

In this book we expose the mathematics for quantum mechanics. The main topics are: vectors, ket and bra space, properties and operations, product for a scalar, internal product between ket and bra, norm and Schwarz inequality, orthogonality, operators and their operations, operator acting on kets as a measure of an observable for a physical state, adjoint operator, hermitian operators, unitary operator, external product, projectors, basis of eigenkets, representation of vectors and operators, matrix algebra.

paperback edition

This book is dedicated to complex numbers. In the first part we expose the theory, where the main arguments are: complex numbers in cartesian, polar and exponential forms, the complex conjugate, the modulus, properties and theorems about complex numbers, polynomial equations. In the second part we propose and solve some original exercise on the topics covered in the first part, to fix the concepts.

paperback edition

This book is dedicated to the Dirac equation. The main arguments are: Dirac equation, gamma matrices in Dirac representation, properties of gamma matrices, covariance of the Dirac equation, Dirac Lagrangian and derivation of the Dirac equation from the equations of the Euler-Lagrange motion, Dirac equation in Hamiltonian form and free solutions in the rest and in any reference frame.

paperback edition

This book is dedicated to Einstein's special relativity. The main topics are: postulates of relativity, events and Minkowski space-time, Lorentz transformations, metrics in scalar products (with an analysis on the metric tensor in an Euclidean and Minkowski space), intervals and their classification, effects of relativity such as time dilation and length contraction, speed transformations, equation of motion in relativistic dynamics, relativistic Lagrangian, kinetic, mass and total energy and their non-relativistic limits, four-momentum conservation.

paperback edition

After introducing the metric in classical Euclidean space, we move to Minkowski's concept of four-vectors in space-time, dealing with topics of restricted relativity, such as Lorentz transformations and Lorentz invariants. We obtain the relativistic expressions of the total energy, the energy at rest and the kinetic energy of a free particle, showing also their non-relativistic limits. Subsequently, we analyze the decay of particles, in particular the decay of the muon. We introduce the electromagnetic field tensor, with calculations of the electric and magnetic field vectors in different inertial reference frames. Finally, we show the Maxwell's equations, both in differential and covariant form, showing how to obtain the equation of electromagnetic waves in vacuum.

paperback edition

The decomposition of numbers and polynomials is the basis of calculus and mathematics. It can be useful, for example, when studying a function or solving an equation. The techniques of decomposition of numbers and polynomials are explained clearly and with the help of examples, including some solved exercises.

paperback edition

Equations and inequalities are one of the basic building blocks for the study of mathematics and all related disciplines. The topics covered are: numerical sets, intervals, inequalities, equations and inequalities of first degree, integer, fractional, literal, second degree, irrational, systems of equations or inequalities, Cramer's method, study of the sign of products and ratios. After each topic we propose some solved exercises to better fix the concepts.

paperback edition

The concepts of power, exponential and logarithm are indispensable for the study of mathematics and represent the basis of many scientific disciplines. The topics covered are: powers, radicals, exponentials, exponential growth, logarithms, equations and inequalities. After each argument we propose some solved exercises to better fix the concepts.

paperback edition

The concepts of derivative and integral contributed to the birth of infinitesimal calculus and mathematical analysis and represent a fundamental step for all scientific disciplines. The topics covered are: incremental ratio, derivatives, properties and derivatives of elementary functions, primitive functions, indefinite integrals, definite integrals, properties and integrals of elementary functions, integration by parts and by substitution, integrals of rational functions, solved exercises on derivatives and integrals.

paperback edition

We recall the key points concerning the study of a function and propose some exercises that are solved by making extensive use of graphics and comments. This book is suitable for all students who have to perform any study of a function. The tools needed to solve the exercises are, in general: equations, inequalities and their systems, limits and derivatives.

paperback edition