100 books like The Variational Principles of Mechanics

By Cornelius Lanczos,

Here are 100 books that The Variational Principles of Mechanics fans have personally recommended if you like The Variational Principles of Mechanics. Shepherd is a community of 10,000+ authors and super readers sharing their favorite books with the world.

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Book cover of Cosmicomics

Michael Sussman Author Of Incognolio

From my list on absurdist humor.

Why am I passionate about this?

I craved attention as a child, and often used humor to get it. I also loved to read. As I aged, I was increasingly struck by the absurdity of the human condition and was drawn to stories that dealt with the ridiculous, nonsensical, and incongruous sides of life. Prone to depression and fascinated by Freud, I became a clinical psychologist, only to discover that my colleagues were as emotionally disturbed as I was! I even wrote a book about it, titled A Curious Calling: Unconscious Motivations for Practicing Psychotherapy. So, when I turned to writing fiction—Otto Grows Down, Duckworth: The Difficult Child, and Incognolio—I reveled in the absurd.

Michael's book list on absurdist humor

Michael Sussman Why did Michael love this book?

Calvino’s Cosmicomics is perhaps the funniest and most outlandish collections of short stories I’ve ever come across. Think Stephen Hawking’s A Brief History of Time meets Alice in Wonderland. Starting with the Big Bang and charting the entire evolution of the universe and of life on Earth, Calvino’s narrator shape-shifts from a man, to a dinosaur, to a mollusk, a single-cell organism, a subatomic particle, and even a disembodied being. In this linked collection of modern fairy tales, the author displays wild flights of imagination, combining scientific rigor with an uproarious repudiation of logic. Oh, and the narrator’s name is Qfwfq.

By Italo Calvino, William Weaver (translator),

Why should I read it?

3 authors picked Cosmicomics as one of their favorite books, and they share why you should read it.

What is this book about?

Introducing Little Clothbound Classics: irresistible, mini editions of short stories, novellas and essays from the world's greatest writers, designed by the award-winning Coralie Bickford-Smith.

Celebrating the range and diversity of Penguin Classics, they take us from snowy Japan to springtime Vienna, from haunted New England to a sun-drenched Mediterranean island, and from a game of chess on the ocean to a love story on the moon. Beautifully designed and printed, these collectible editions are bound in colourful, tactile cloth and stamped with foil.

Twelve enchanting and fantastical stories about the evolution of the universe from the giant of Italian literature,…


Book cover of Lectures on Quantum Mechanics

Andrew Zangwill Author Of Modern Electrodynamics

From my list on titles for physics graduate students.

Why am I passionate about this?

I am a physics professor with a passion for teaching. When I was a graduate student, I took required courses in classical mechanics, classical electrodynamics, quantum mechanics, and statistical mechanics. Some of the textbooks assigned by my professors were good; some were not so good. In every case, it was extremely helpful to read what other authors had to say about these foundational subjects. Four of the five books I recommend below are my personal favorites among these serious physics books. My fifth book choice is less serious and does not teach physics, but it will improve your graduate student experience nonetheless.

Andrew's book list on titles for physics graduate students

Andrew Zangwill Why did Andrew love this book?

This book helped me pass my PhD qualifying exam. The writing style is crisp and qualitative arguments abound. Baym treats perturbation theory and scattering theory particularly nicely and your interest will never flag because he illustrates the formal theory with wonderfully chosen examples like K-meson interference effects, the Van der Waals interaction, Cooper pairing, spin resonance, multipole radiation, Klein’s paradox, and the Hanbury-Brown and Twiss experiment.  A special treat not found in other textbooks is a discussion of Julian Schwinger’s unique take on the quantum theory of angular momentum.

By Gordon Baym,

Why should I read it?

1 author picked Lectures on Quantum Mechanics as one of their favorite books, and they share why you should read it.

What is this book about?

These lecture notes comprise a three-semester graduate course in quantum mechanics at the University of Illinois. There are a number of texts which present the basic topics very well; but since a fair quantity of the material discussed in my course was not available to the students in elementary quantum mechanics books, I was asked to prepare written notes. In retrospect these lecture notes seemed sufficiently interesting to warrant their publication in this format. The notes, presented here in slightly revised form, consitutute a self-contained course in quantum mechanics from first principles to elementary and relativistic one-particle mechanics. Prerequisite to…


Book cover of Statistical Mechanics: An Advanced Course with Problems and Solutions

Andrew Zangwill Author Of Modern Electrodynamics

From my list on titles for physics graduate students.

Why am I passionate about this?

I am a physics professor with a passion for teaching. When I was a graduate student, I took required courses in classical mechanics, classical electrodynamics, quantum mechanics, and statistical mechanics. Some of the textbooks assigned by my professors were good; some were not so good. In every case, it was extremely helpful to read what other authors had to say about these foundational subjects. Four of the five books I recommend below are my personal favorites among these serious physics books. My fifth book choice is less serious and does not teach physics, but it will improve your graduate student experience nonetheless.

Andrew's book list on titles for physics graduate students

Andrew Zangwill Why did Andrew love this book?

I learned the basics of statistical mechanics from the first edition of the textbook by R.K. Pathria. But only after studying Kubo did I learn how to apply those ideas to solve problems. Each of his six chapters begins with a concise overview of the theory. Next comes a set of worked examples, followed by an extensive collection of problems and their solutions.  Overall, the book offers a remarkable 46 worked examples and 162 problems and solutions. These include all the standard problems and quite a few you will not see elsewhere. Particularly charming are 14 "divertissements” where Kubo discusses Maxwell’s demon, the ergodic theorem, the Gibbs paradox, the H-theorem, Onsager’s reciprocity relations, and other delights.

By Ryogo Kubo,

Why should I read it?

1 author picked Statistical Mechanics as one of their favorite books, and they share why you should read it.

What is this book about?

This book provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions.

Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences…


Book cover of The Classical Electromagnetic Field

Andrew Zangwill Author Of Modern Electrodynamics

From my list on titles for physics graduate students.

Why am I passionate about this?

I am a physics professor with a passion for teaching. When I was a graduate student, I took required courses in classical mechanics, classical electrodynamics, quantum mechanics, and statistical mechanics. Some of the textbooks assigned by my professors were good; some were not so good. In every case, it was extremely helpful to read what other authors had to say about these foundational subjects. Four of the five books I recommend below are my personal favorites among these serious physics books. My fifth book choice is less serious and does not teach physics, but it will improve your graduate student experience nonetheless.

Andrew's book list on titles for physics graduate students

Andrew Zangwill Why did Andrew love this book?

The yellow Dover paperback edition of this book was the source for more than a few of the quantitative deductions and qualitative arguments which appear in my own textbook on the subject. I admire the pedagogy of Eyges’ book and he is exceptionally lucid in his explanations of physics. The main text assumes you are familiar with delta functions, vector calculus, and the orthogonal functions of mathematical physics, but if you are not, there are well-written appendices devoted to each one. Eyges knows that there is more to electrostatics and magnetostatics than potential theory and his discussions of multipole expansions, time-harmonic radiation and wave propagation inside and outside of matter are very insightful. This little gem belongs by your side when you study classical electrodynamics.

By Leonard Eyges,

Why should I read it?

1 author picked The Classical Electromagnetic Field as one of their favorite books, and they share why you should read it.

What is this book about?

The Classical Electromagnetic Field emphasizes physics first, then mathematics. This and the fact that lucid exposition of theory receives priority over subsequent manipulation marks the book unusual, not to say unique, among field physics texts for advanced undergraduates and graduate students. Long experience of and dissatisfaction with existing texts used in teaching electromagnetic theory at MIT prompted the author to clarify his own approach, resulting in this book. Dr. Eyges is now a Senior Research Physicist at the Rome Air Development Center, Hanscom Air Force Base.
Electromagnetic theory is basic to classical and relativistic physics at every level. This text…


Book cover of Quantum Mechanics: The Theoretical Minimum

Chris Ferrie Author Of Where Did the Universe Come From? and Other Cosmic Questions: Our Universe, from the Quantum to the Cosmos

From my list on quantum physics that are also the most accessible.

Why am I passionate about this?

I am a professor of quantum physics—the most notoriously complicated science humans have ever invented. While the likes of Albert Einstein commented on how difficult quantum physics is to understand, I disagree! Ever since my mum asked me—back while I was a university student—to explain to her what I was studying, I’ve been on a mission to make quantum physics as widely accessible as possible. Science belongs to us all and we should all have an opportunity to appreciate it!

Chris' book list on quantum physics that are also the most accessible

Chris Ferrie Why did Chris love this book?

Are you still here? Good. Because by now you are probably reading to tackle some university-level courses in quantum physics, right? Well, with your background in pop quantum physics all you need to get there is a little more abstraction. So, if you have the stomach for a bit of mathematics, Quantum Mechanics: The Theoretical Minimum by Leonard Susskind is your ticket to the big show! (Don’t say I didn’t warn you about the math, though.)

By Leonard Susskind, Art Friedman,

Why should I read it?

1 author picked Quantum Mechanics as one of their favorite books, and they share why you should read it.

What is this book about?

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 behaviour 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…


Book cover of The Physics of Superheroes: More Heroes! More Villains! More Science!

E. Paul Zehr Author Of Chasing Captain America: How Advances in Science, Engineering, and Biotechnology Will Produce a Superhuman

From my list on the superhero in you.

Why am I passionate about this?

I got hooked on superheroes from a very early age. My mom grew up in the Golden Age of comics and loved superheroes. She'd bring home a random assortment of adventures—Batman, Iron Man, Flash, Avengers, Justice League, Iron Fist, Captain America. I was especially keen on the martial arts mayhem so many could bring to bear. That got me started (and I've never stopped since) in martial arts as a teen and took me into a career in science. I bring my own interest, my knowledge of martial arts, and my extensive career and training as a sensorimotor neuroscientist as I explore the science of human achievement through the lens of comic book superheroes.

E.'s book list on the superhero in you

E. Paul Zehr Why did E. love this book?

I love learning cool and niche nerdy science stuff. James Kakalios unpacks fundamental physics and the fun of superheroes in a crazy solid read.

Trust me, you need to know how many cheeseburgers the Flash would need to eat in order for his metabolism to power his runs around the Earth. Why Gwen Stacy’s death wasn’t Spider-Man’s fault and more. Also how high Superman could really jump, how Iron Man's suit would really work and more.

C'mon. These are fundamental truths of modern civilization and they are all laid bare in this fun and engaging foray into physics!

By James Kakalios,

Why should I read it?

1 author picked The Physics of Superheroes as one of their favorite books, and they share why you should read it.

What is this book about?

A complete update to the hit book on the real physics at work in comic books, featuring more heroes, more villains, and more science 

Since 2001, James Kakalios has taught "Everything I Needed to Know About Physics I Learned from Reading Comic Books," a hugely popular university course that generated coast-to-coast media attention for its unique method of explaining complex physics concepts through comics. With The Physics of Superheroes, named one of the best science books of 2005 by Discover, he introduced his colorful approach to an even wider audience. Now Kakalios presents a totally updated, expanded edition that features…


Book cover of Insights of Genius: Imagery and Creativity in Science and Art

Tom McLeish Author Of The Poetry and Music of Science: Comparing Creativity in Science and Art

From my list on creativity in science and art.

Why am I passionate about this?

I have worked in scientific research and teaching for over 30 years, and maintained a love of art and music as well, but am saddened when I hear statements, especially from high-school pupils, that ‘there is no room for creativity or imagination in science.’ Like all working scientists, I know that imagination is the most important faculty for a scientist. The Poetry and Music of Science is my project to tease out the creative threads in the scientific process, and also to find the buried pathways that link science with the arts and humanities. The journey of discovery has been full of surprises and delights for me.

Tom's book list on creativity in science and art

Tom McLeish Why did Tom love this book?

Visual representations are not the only pathway to creative acts in art and science, but they are responsible for large territories of creativity – including, and surprisingly, the mathematical. Arthur Miller shows how ‘seeing the unseen’ becomes possible from atoms to the conservation of energy in science, and from modernism to cubism in art. The book itself is as visually striking as its contents and helped me to think through why the visual metaphor – ‘Oh, I see!’ – becomes the standard description of the moment of insight.

By Arthur I. Miller,

Why should I read it?

1 author picked Insights of Genius as one of their favorite books, and they share why you should read it.

What is this book about?

Here, distinguished science historian Arthur I. Miller delves into the connections between modern art and modern physics. He takes us on a wide-ranging study to demonstrate that scientists and artists have a common aim: a visual interpretation of both the visible and invisible aspects of nature. Along the way, we encounter the philosophy of mind and language, cognitive science and neurophysiology in our search for the origins and meaning of visual imagery.
At a time when the media are overeager to portray science as a godless, dehumanising exercise undermining the very fabric of society, this sixth book by Professor Miller…


Book cover of Alex Through the Looking-Glass

David Acheson Author Of The Wonder Book of Geometry: A Mathematical Story

From my list on mathematics for the general reader.

Why am I passionate about this?

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

David's book list on mathematics for the general reader

David Acheson Why did David love this book?

This is a sequel to Alex Bellos's bestseller Alex's Adventures in Numberland, but more focused on applications of mathematics to the real world, especially through physics. Many of these were known to me, particularly when they involved calculus, but I greatly enjoyed Alex's distinctive and novel way of putting across sophisticated ideas, in part by interspersing them with personal interviews with mathematicians of all kinds.  

By Alex Bellos,

Why should I read it?

1 author picked Alex Through the Looking-Glass as one of their favorite books, and they share why you should read it.

What is this book about?

From triangles, rotations and power laws, to fractals, cones and curves, bestselling author Alex Bellos takes you on a journey of mathematical discovery with his signature wit, engaging stories and limitless enthusiasm. As he narrates a series of eye-opening encounters with lively personalities all over the world, Alex demonstrates how numbers have come to be our friends, are fascinating and extremely accessible, and how they have changed our world.

He turns even the dreaded calculus into an easy-to-grasp mathematical exposition, and sifts through over 30,000 survey submissions to reveal the world's favourite number. In Germany, he meets the engineer who…


Book cover of Chases and Escapes: The Mathematics of Pursuit and Evasion

Pramod Ganapathi Author Of Mathematical and Algorithmic Puzzles

From my list on mathematical and algorithmic puzzles.

Why am I passionate about this?

I am a Research Assistant Professor of Computer Science at Stony Brook University learning/teaching/researching mathematics/algorithms/puzzles. In these fields, I have published a book, published 15+ papers in conferences/journals, been granted a US patent, won two Outstanding Paper Awards, taught 10+ courses in 25+ offerings, and have supervised 90+ master's/bachelor students. I am a puzzle addict involved in this field for 25 years and puzzles are my religion/God. Puzzles are the main form of supreme energy in this universe that can consistently give me infinite peace.

Pramod's book list on mathematical and algorithmic puzzles

Pramod Ganapathi Why did Pramod love this book?

This book is full of beautiful puzzles on a mathematical topic called pursuit evasion. Its author Paul Nahin has written tens of books in physics and mathematics.

Nahin's writing can be described as a captivating reading experience pulling readers into his world like a whirlpool. His appreciation of mathematics, physics, and the people who discover them is unmatchable. It seems like the physics of motion and the mathematics of calculus is inseparable, as can be witnessed in the book.

The calculus used in this book is heavy. Nevertheless, Nahin makes his readers fall in love with this big beast. Almost every puzzle in this book is aesthetically beautiful and gives readers a deep sense of satisfaction. My favorites include Lady in the Lake, and Lion and Man.

By Paul J. Nahin,

Why should I read it?

1 author picked Chases and Escapes as one of their favorite books, and they share why you should read it.

What is this book about?

We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an…


Book cover of Our Mathematical Universe: My Quest for the Ultimate Nature of Reality

J. Baird Callicott Author Of Greek Natural Philosophy: The Presocratics and Their Importance for Environmental Philosophy

From my list on how and why science began.

Why am I passionate about this?

I studied Greek philosophy in college and graduate school and wrote my Ph.D. dissertation on Plato. In response to the environmental crisis, first widely recognized in the 1960s, I turned my philosophical attention to that contemporary challenge, which, with the advent of climate change, has by now proved to be humanity’s greatest. I taught the world’s first course in environmental ethics at the University of Wisconsin-Stevens Point in 1971 and, with a handful of other philosophers, helped build a literature in this new field over the course of the next decade—a literature that has subsequently grown exponentially. With Greek Natural Philosophy, I rekindled the romance with my first love. 

J.'s book list on how and why science began

J. Baird Callicott Why did J. love this book?

MIT scientist Tegmark directly connects contemporary physics and cosmology with our story of the Presocratic natural philosophers.

In his view the universe is not only described in the language of mathematics, it is a huge purely mathematical object. This was precisely the view of the Pythagoreans. In the course of expounding his theory of a mathematical universe, Tegmark brings the lay reader up to date on the latest developments in natural philosophy (aka theoretical physics and cosmology) and demonstrates their continuity with those of their ancient predecessors.   

By Max Tegmark,

Why should I read it?

1 author picked Our Mathematical Universe as one of their favorite books, and they share why you should read it.

What is this book about?

Nature, said Galileo, is 'a book written in the language of mathematics'. But why should this be? How can mathematics be at the heart of our universe?

The great Hungarian physicist and Nobel laureate Eugene Wigner stressed that this 'unreasonable effectiveness' of mathematics at describing the world was a mystery demanding explanation. Here, Max Tegmark, one of the most original cosmologists at work today, takes us on an astonishing journey to solve that mystery.

Part-history of the cosmos, part-intellectual adventure, Our Mathematical Universe travels from the Big Bang to the distant future via parallel worlds, across every possible scale -…


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