Mathematics for Natural Scientists: Fundamentals and Basics

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from...

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Calculus For Scientists And Engineers

This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order. By focusing on applications, it allows readers to view mathematics in a practical and relevant setting. Organized into 12 chapters, this book includes numerous interesting, relevant and up-to date applications that are drawn from the fields of business, economics, social and behavioural sciences,...

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Quantum Reality: Theory and Philosophy

Summary Probably the most successful scientific theory ever created, quantum theory has profoundly changed our view of the world and extended the limits of our knowledge, impacting both the theoretical interpretation of a tremendous range of phenomena and the practical development of a host of technological breakthroughs. Yet for all its success, quantum theory remains utterly baffling. Quantum Reality: Theory and Philosophy cuts through much...

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Space-time: An Introduction to Einstein's Theory of Gravity

This book, suitable for interested post-16 school pupils or undergraduates looking for a supplement to their course text, develops our modern view of space-time and its implications in the theories of gravity and cosmology. While aspects of this topic are inevitably abstract, the book seeks to ground thinking in observational and experimental evidence where possible. In addition, some of Einstein’s philosophical thoughts are explored and contrasted...

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Complex Analysis, Riemann Surfaces and Integrable Systems

Using basic tools from the first year of university studies, the book leads a reader to the impressive achievements of mathematics of the 21st century Studying the book, the reader will get acquainted with analytical and harmonic functions, as well as with the main results of the theory of Riemann surfaces. The reader will also get acquainted with the modern use of these results for solving classical problems of practical importance. These...

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Algebraic Curves

Leads a reader to far advanced topics widely used in modern research, using basic tools from the first two years of university studies From the very beginning, the study of algebraic curves is aimed at the construction of their moduli spaces in the final chapters Supplied with numerous exercises and problems both making the book a convenient base for a university lecture course and allowing the reader to control his/her progress About this...

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Introduction to the Theory of Schemes

About this Textbook: This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians.  This book will be of interest to students majoring in algebraic geometry and theoretical physics...

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Geometry, Mechanics, and Dynamics

This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in...

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Research in History and Philosophy of Mathematics

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline...

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Mathematical Masterpieces

Experience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through...

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A History of the Central Limit Theorem

This study aims to embed the history of the central limit theorem within the history of the development of probability theory from its classical to its modern shape, and, more generally, within the corresponding development of mathematics. The history of the central limit theorem is not only expressed in light of "technical" achievement, but is also tied to the intellectual scope of its advancement. The history starts with Laplace's 1810 approximation...

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Mathematical Expeditions

This book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realization that still greater vistas remained to be explored. The authors tell these stories by guiding the reader through...

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Mathematics of the 19th Century

This multi-authored effort, Mathematics of the nineteenth century (to be fol­ lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume...

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Mathematics and Its History

One of the disappointments experienced by most mathematics students is that they never get a course in mathematics. They get courses in calculus, algebra, topology, and so on, but the division of labor in teaching seems to prevent these different topics from being combined into a whole. In fact, some of the most important and natural questions are stifled because they fall on the wrong side of topic boundary lines. Algebraists do not discuss...

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A Concrete Introduction to Real Analysis, Second Edition

The Second Edition offers a major re-organization of the book, with the goal of making it much more competitive as a text for students. The revised edition will be appropriate for a one- or two-semester introductory real analysis course. Like the first edition, the primary audience is the large collection of students who will never take a graduate level analysis course. The choice of topics and level of coverage is suitable for future high school...

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Introduction to Real Analysis, 7th Edition

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Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various...

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Introduction to Real Analysis

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author’s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed...

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Measure, Integration & Real Analysis

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated...

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Much Ado About Calculus

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century. With the recent development of the digital computer, the range of applications of mathematics, including the calculus, has increased greatly and now includes many disciplines that were formerly thought to be non­ quantitative. Some of the more traditional applications have been altered, by...

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Mathematics Handbook

This is the fourth edition of the Mathematics handbook for science and engineering (BETA). Compared to the previous editions a number of additions and corrections have been made. The Mathematics handbook covers basic areas of mathematics, numerical analysis, probability and statistics and various applications. The handbook is intended for students and teachers of mathematics, science and engineering and for profession­ als working in these areas....

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Handbook of Mathematics

This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that...

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A Course of Pure Mathematics (Cambridge Mathematical Library)

There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite...

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Physics A General Course – Savelyev

In this post we will see the three volume Physics – A General Course by I. V. Savelyev. I have done everything in my power to acquaint students with the basic ideas and methods of physics and to teach them how to think physically. This is why the book is not encyclopedic in its nature. It is mainly devoted to explaining the meaning of physical laws and showing how to apply them consciously. What I have tried to achieve is a deep knowledge...

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Senior Physics 1 – Kikoin, Kikoin

About the book This book is the second in the series the first one being Junior Physics. There is a second volume in this series which we do not have now. This book covers fundamentals of motion, its laws, forces in nature and conservation laws also. There is a section on Practical work at the end of the book. The book was translated from the Russian by Natalia Wadhwa. And was first published by Mir in 1987. Downlo...

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The Nine Colours of The Rainbow – Steinhaus

About the book (from the front jacket) Have you ever stopped to think how many colours there are in a rainbow? Seven or, perhaps, nine as the title of the book suggests? It appears, there are many more and still the title is correct. Why so? The book will tell you what is visible and invisible light, how it helps man to acquaint himself with his environment, investigate it, penetrate into the mysteries of matter and space. You will also find...

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Fundamentals of Physics – Ivanov

About the book: The book being of­fered by the author differs from other existing books on the subject in its nontraditional approach to the course of phys­ics. The principle underlying the preparation of this course can be summarized as follows:  “From atom to matter”. What prompted the author to adopt this approach? In­deed, the creation of new materials with unusual mechani­cal, thermal, electrical, magnetic, and optical properties requires...

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Semiconductors: Testing and Adjusting – Green, Shokalsky

In this post, we will look at the book Semiconductors: Testing and Adjusting by G. Green and A Shokalsky. About the book: The book describes the working of many electronic devices and methods of testing them. Since the book was written in the early 70s, some of the technology presented in the book may be outdated. The book was translated from the Russian by George Roberts and was first published by Mir in 1972. Downlo...

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Fundamentals of Theoretical Physics – Savelyev

In this post we will see the two volume set titled Fundamentals of Theoretical Physics by I. V. Savelyev. Previously we have seen Physics A General Course by the same author. The book being offered to the reader is a logical continuation of the author’s three-volume general course of physics. Everything possible has been done to avoid repenting what has been set out in the three-volume course. Particularly. the experiments underlying the advancing...

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Electricity And Man – Manoilov

About the book: “… Life on Earth originated and developed in interaction with electromagnetic fields. Electricity is inherent in the living in its most complicated form – the vital activity of man. Scientists have done much in studying this amazing interaction of electricity and the animate but much in nature is still concealed, much must be analyzed and understood. This book will help to widen the reader’s understanding of the interaction of...

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Elementary Textbook on Physics Vol 3 – Landsberg

About the book: Volume 3 covers aspects of wave motion, oscillations, optics and atomic and modern physics. These topics include: Basic Concepts. Mechanical Vibrations. Acoustic Vibrations. Electric Oscillations. Wave Phenomena. Interference of Waves. Electromagnetic Waves. Light Phenomena: General. Photometry and Lighting Engineering. Basic Laws of Geometrical Optics. Application of Reflection and Refraction of Light to Image Formation. Optical...

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Elementary Textbook on Physics Vol 2 – Landsberg

About the book: Volume 2 covers aspects of basic aspects of electricity and magnetism. These topics include: Electric Charges. Electric Field. Direct Current. Thermal Effect of Current. Electric Current in Electrolytes. Chemical and Thermal Generators. Electric Current in Metals. Electric Current in Gases. Electric Current in Semiconductors. Basic Magnetic Phenomena. Magnetic Field. Magnetic Field of Current. Magnetic Field of the Earth. Forces...

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Elementary Textbook on Physics Vol 1 – Landsberg

About the book: Volume 1 covers aspects of basic mechanics and fluid mechanics (both statics and dynamics), heat and molecular physics. These topics include: Kinematics. Dynamics. Statics. Work and Energy. Curvilinear Motion. Motion in Noninertial Reference Systems and inertial Forces. Hydrostatics. Aerostatics. Fluid Dynamics. Thermal Expansion of Solids and Liquids. Work. Heat. Law of Energy Conservation. Molecular Theory. Properties of Gases....

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Elementary Physics: Problems and Solutions – Gurskii

The book is intended for those preparing for university entrance examinations in physics. The contents and sequence of topics are in keeping with the requirements for such examinations. The few sections beyond the entrance examination programme are marked by circles. In view of the introduction of the elements of higher mathematics to the high-school curriculum, some problems have also been illustrated using differential calculus. The author...

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Problems in Theoretical Physics – Grechko, Sugakov, Tomasevich, Fedorchenko

About the book: From the Front Jacket This book is a collection of problems covering mechanics, electrodynamics, nonrelativistic quantum mechanics, !statistical physics and thermodynamics. Each Section opens with a brief outline of the main laws and relationships used to solve the problems. Also information about the needed mathematical apparatus is included. Along with answers there are guides to solving the more complicated problems. SI units...

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Essays About the Universe – Vorontsov-Vel’yaminov

This book by a prominent Soviet astronomer and imaginative interpreter of the history and latest knowledge of astronomy, an age-old science that has come through two shattering decades of exciting discovery and research, can be dubbed a popular encyclopaedia of astronomy. It is a vivid and fascinating account of almost all the celestial bodies with which astronomy is concerned: planets, comets, meteors, the Sun and stars, gaseous and dust nebulae,...

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Albert Einstein’s Philosophical views and the Theory of Relativity – Gribanov

This book presents the first integral treatment of the philosophical views of Albert Einstein and their influence on the origin and inter­pretation of the theory of relati­vity. It brings out the specific features of the philosophical com­ prehension of the theory of relativity m the world and Soviet literature, and analyses the influence of the new relativistic physical ideas in enriching and developing the tradi­tional philosophical categories...

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The Forces of Nature – Grigoryev, Myakishev

About the book: This book is a popular description of the unity of the forces of nature for the general reader. At present, all interactions between bodies in nature are thought to be ultimately due to the interaction of elementary particles and involve only four types of forces: universal gravitation, or gravitational forces, electromagnetic forces, nuclear forces and the so- called weak interactions. This book describes the principal properties...

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