Best Mathematical Physics Books

Here you will get Best Mathematical Physics Books For you.This is an up-to-date list of recommended books.

1. An Introduction to Statistical Learning: with Applications in R (Springer Texts in Statistics)

Author: by Gareth James
440 pages

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An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance to marketing to astrophysics in the past twenty years.

This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree-based methods, support vector machines, clustering, and more. Color graphics and real-world examples are used to illustrate the methods presented.

Since the goal of this textbook is to facilitate the use of these statistical learning techniques by practitioners in science, industry, and other fields, each chapter contains a tutorial on implementing the analyses and methods presented in R, an extremely popular open source statistical software platform.

Two of the authors co-wrote The Elements of Statistical Learning (Hastie, Tibshirani and Friedman, 2nd edition 2009), a popular reference book for statistics and machine learning researchers. An Introduction to Statistical Learning covers many of the same topics, but at a level accessible to a much broader audience.

2. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory

Author: by Brian Greene
447 pages

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The international bestseller that inspired a major Nova special and sparked a new understanding of the universe, now with a new preface and epilogue. Brian Greene, one of the world’s leading string theorists, peels away layers of mystery to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matterfrom the smallest quarks to the most gargantuan supernovasis generated by the vibrations of microscopically tiny loops of energy.

The Elegant Universe makes some of the most sophisticated concepts ever contemplated accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

3. The Fabric of Reality: The Science of Parallel Universes–and Its Implications

Author: by David Deutsch
Penguin Books
390 pages

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A penetrating exploration of the new physics, including time travel, quantum computers, and the multiverse as referenced in the film Avengers: EndgameFor David Deutsch, a young physicist of unusual originality, quantum theory contains our most fundamental knowledge of the physical world.

Taken literally, it implies that there are many universes parallel to the one we see around us. This multiplicity of universes, according to Deutsch, turns out to be the key to achieving a new worldview, one which synthesizes the theories of evolution, computation, and knowledge with quantum physics.

Considered jointly, these four strands of explanation reveal a unified fabric of reality that is both objective and comprehensible, the subject of this daring, challenging book. The Fabric of Reality explains and connects many topics at the leading edge of current research and thinking, such as quantum computers (which work by effectively collaborating with their counterparts in other universes), the physics of time travel, the comprehensibility of nature and the physical limits of virtual reality, the significance of human life, and the ultimate fate of the universe.

4. The Principia: The Authoritative Translation and Guide: Mathematical Principles of Natural Philosophy

Author: by Sir Isaac Newton
992 pages

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In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.

This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.

Newton’s principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.

5. Quantum Mechanics: The Theoretical Minimum

Author: by Leonard Susskind
Basic Books
384 pages

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First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to the New York Times best-selling The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions.

Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area.

Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

6. The Road to Reality: A Complete Guide to the Laws of the Universe

Author: by Roger Penrose
1136 pages

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Nobel Prize-winner Roger Penrose, one of the most accomplished scientists of our time, presents the only comprehensiveand comprehensibleaccount of the physics of the universe. A “guide to physics’ big picture, and to the thoughts of one of the world’s most original thinkers.

The New York TimesFrom the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space.

Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

7. Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain

Author: by Grace Lindsay
400 pages

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Grace Lindsay reveals the value of describing the machinery of neuroscience using the elegant language of mathematics. The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate and how those communications create thoughts, perceptions and actions.

The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain’s processes, including decision-making, sensory processing, quantifying memory, and more.

She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when bringing the abstract world of mathematical modelling into contact with the messy details of biology. Each chapter focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain the individual neuron through to circuits of interacting neurons, whole brain areas and even the behaviors that brains command.

8. Physics for Scientists and Engineers with Modern Physics

Author: by Raymond A. Serway
Cengage Learning
1484 pages

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Maximize your course success by making the most of what Serway/Jewett’s PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN PHYSICS, Tenth Edition, has to offer. From a host of in-text features to a range of outstanding technology resources, you’ll have everything you need to understand the natural forces and principles of physics.

New context-rich exercises, Think-Pair-Share problems and MCAT-style passage problems enable you to put what you learn into practice. Also available, WebAssign is the world’s easiest to use homework system. Throughout every chapter, the authors have built in a wide range of examples, exercises and illustrations that will help you understand the laws of physics AND succeed in your course!

9. All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics)

Author: by Larry Wasserman
462 pages

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Taken literally, the title “All of Statistics” is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly.

It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra.

No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

10. Mathematical Methods in the Physical Sciences

Author: by Mary L. Boas

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Now in its third edition, Mathematical Concepts in the Physical Sciences, 3rd Edition 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 is intended for students who have had a two-semester or three-semester introductory calculus course.

Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book).

At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications.

11. Physics Equations & Answers (Quick Study Academic)

Author: by Mark Jackson
6 pages

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Essential tool for physics laws, concepts, variables and equations, including sample problems, common pitfalls and helpful hints.

12. Mathematical Methods for Physics and Engineering: A Comprehensive Guide

Author: by K. F. Riley
Cambridge University Press
1359 pages

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The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises.

New stand-alone chapters give a systematic account of the ‘special functions’ of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added.

In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.Cambridge.Org/9780521679718.

13. Principles of Quantum Mechanics, 2nd Edition

Author: by R. Shankar
Plenum Press
694 pages

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R.Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications.

Additional highlights include: – Clear, accessible treatment of underlying mathematics – A review of Newtonian, Lagrangian, and Hamiltonian mechanics – Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates – Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions.

The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

14. Flatland: A Romance of Many Dimensions (Dover Thrift Editions)

Author: by Edwin A. Abbott
Dover Publications

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This masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A.

Square, a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status. Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensionsa revolutionary idea for which he is returned to his two-dimensional world.

Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. “Instructive, entertaining, and stimulating to the imagination.” Mathematics Teacher.

15. Physics from Symmetry (Undergraduate Lecture Notes in Physics)

Author: by Jakob Schwichtenberg
308 pages

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This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived.

As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.