Here are our top ten recommendations if you are looking for the best books to read in Mathematical Physics. We have made sure our list is diverse to cater to the interests of different types of readers.
1. The Drunkard's Walk: How Randomness Rules Our Lives
In this irreverent and illuminating audiobook, acclaimed writer and scientist Leonard Mlodinow shows us how randomness, chance, and probability reveal a tremendous amount about our daily lives, and how we misunderstand the significance of everything from a casual conversation to a major financial setback. As a result, successes and failures in life are often attributed to clear and obvious causes, when in actuality they are more profoundly influenced by chance. The rise and fall of your favorite movie star or the most reviled CEO - in fact, all our destinies - reflects chance as much as planning and innate abilities. Even Roger Maris, who beat Babe Ruth's single season home-run record, was in all likelihood not great but just lucky. How could it have happened that a wine was given five out of five stars by one journal and called the worst wine of the decade by another? Wine ratings, school grades, political polls, and many other things in daily life are less reliable than we believe. By showing us the true nature of chance and revealing the psychological illusions that cause us to misjudge the world around us, Mlodinow gives fresh insight into what is really meaningful and how we can make decisions based on a deeper truth. From the classroom to the courtroom, from financial markets to supermarkets, from the doctor's office to the Oval Office, Mlodinow's insights will intrigue, awe, and inspire. Offering listeners not only a tour of randomness, chance and probability but also a new way of looking at the world, this original, unexpected journey reminds us that much in our lives is about as predictable as the steps of a stumbling man afresh from a night at a bar.
- Author: Leonard Mlodinow
- Genre: Science & Math, Mathematics, Applied, Probability & Statistics
2. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory
In a rare blend of scientific insight and writing as elegant as the theories it explains, one of the world's leading string theorists peels away the layers of mystery surrounding string theory to reveal a universe that consists of 11 dimensions where the fabric of space tears and repairs itself, and all matter-from the smallest quarks to the most gargantuan supernovas-is generated by the vibrations of microscopically tiny loops of energy. Brian Greene uses everything from an amusement park ride to ants on a garden hose to illustrate the beautiful yet bizarre realities that modern physics is unveiling. Dazzling in its brilliance, unprecedented in its ability to both illuminate and entertain, The Elegant Universe is a tour de force of science writing-a delightful, lucid voyage through modern physics that brings us closer than ever to understanding how the universe works.
- Author: Brian Greene
- Genre: Audible Books & Originals, Science & Engineering, Science, Astronomy & Space Science, Cosmology
3. Flatland: A Romance of Many Dimensions (Dover Thrift Editions)
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 dimensions—a 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 .
- Author: Edwin A. Abbott
- Publisher: Dover Publications; Unabridged edition (September 21, 1992)
- Genre: Science & Math, Physics
- ISBN: 978-0486272634
- Dimensions: 7.8 x 0.3 x 5 inches
4. An Introduction to Statistical Learning: with Applications in R (Springer Texts in Statistics)
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. This book is targeted at statisticians and non-statisticians alike who wish to use cutting-edge statistical learning techniques to analyze their data. The text assumes only a previous course in linear regression and no knowledge of matrix algebra.
- Author: Gareth James
- Publisher: Springer; 1st ed. 2013, Corr. 7th printing 2017 edition (June 25, 2013)
- Genre: Computers & Technology, Computer Science
- ISBN: 978-1461471370
- Dimensions: 7.7 x 1 x 9.4 inches
5. Physics Equations & Answers (Quick Study Academic)
Essential tool for physics laws, concepts, variables and equations, including sample problems, common pitfalls and helpful hints.
- Author: Mark Jackson
- Publisher: QuickStudy; Lam Crds edition (February 14, 2006)
- Genre: Science & Math, Physics
- ISBN: 978-1423201908
- Dimensions: 8.5 x 11 x 0.06 inches
6. The Road to Reality: A Complete Guide to the Laws of the Universe
**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin
- Author: Roger Penrose
- Publisher: Vintage (June 9, 2021)
- Genre: Kindle Store, Kindle eBooks, Science & Math
7. The Fabric of Reality: The Science of Parallel Universes - and Its Implications
Author of the New York Times best seller The Beginning of Infinity , David Deutsch, explores the four most fundamental strands of human knowledge: quantum physics , and the theories of knowledge , computation , and evolution - and their unexpected connections. Taken together, these four strands reveal a deeply integrated, rational, and optimistic worldview. It describes a unified fabric of reality that is objective and comprehensible, in which human action and thought are central. With new preface exclusive to the audiobook, read by the author.
- Author: David Deutsch
- Genre: Audible Books & Originals, Science & Engineering, Science, Astronomy & Space Science, Astronomy
8. Lost in Math: How Beauty Leads Physics Astray
A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
- Author: Sabine Hossenfelder
- Genre: Science & Math, Mathematics, Geometry & Topology, Differential Geometry
9. A Student's Guide to Maxwell's Equations (Student's Guides)
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
- Author: Daniel Fleisch
- Publisher: Cambridge University Press; 1st edition (January 28, 2008)
- Genre: Science & Math, Mathematics
- ISBN: 978-0521701471
- Dimensions: 6 x 0.3 x 9 inches
10. The Principia: The Authoritative Translation and Guide: Mathematical Principles of Natural Philosophy
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. The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.
- Author: Sir Isaac Newton
- Publisher: University of California Press; First edition (February 5, 2016)
- Genre: Science & Math, Mathematics
- ISBN: 978-0520290884
- Dimensions: 7 x 1.8 x 10 inches