Physics and Engineering Formulas, Theorems, and Methods
A Comprehensive Mathematical Reference and Review, From Definitions to Asymptotic Methods and Perturbation TheoryBy Elena Kuznetsova
Length12h 53m
About this audiobook
A comprehensive mathematical reference of formulas, theorems, and methods for physics and engineering, with boxed summaries and worked physical examples from complex variables to perturbation theory.
Audiobook details
GenreScience and Nature, Technology
Length12 hrs 53 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateSep 27, 2026
LanguageEnglish
Table of contents
1Physics and Engineering Formulas, Theorems, and Methods
2Foreword
3Preface
4About This Book
5Chapter 1: Notation, Units and Dimensional Analysis
Show all chaptersShow less
61.1 Physical Quantities, SI Base Units and Prefixes
71.2 Dimensional Homogeneity and the Buckingham Pi Method
81.3 Unit Conversion, Significant Figures and Rounding
91.4 Scaling Arguments and Order-of-Magnitude Estimation
10Chapter 2: Algebra, Series and Inequalities
112.1 Algebraic Identities, Polynomials and Partial Fractions
122.2 Binomial Theorem and Elementary Expansions
132.3 Sequences, Series and Convergence Tests
142.4 Inequalities and Useful Bounds
15Chapter 3: Complex Variables
163.1 Complex Numbers, the Argand Plane and Elementary Functions
173.2 Analytic Functions and the Cauchy-Riemann Conditions
183.3 Contour Integration and Cauchy’s Theorems
193.4 Residues and Evaluation of Real Integrals
20Chapter 4: Vector Algebra and Calculus
214.1 Vector Algebra, Products and Triple Products
224.2 Gradient, Divergence and Curl
234.3 Line and Surface Integrals
244.4 Divergence and Circulation Theorems
25Chapter 5: Matrices and Linear Algebra
265.1 Matrices, Determinants and Rank
275.2 Eigenvalues, Eigenvectors and Diagonalisation
285.3 Singular Value Decomposition and Least Squares
295.4 Conditioning, Norms and Error Sensitivity
30Chapter 6: Ordinary Differential Equations
316.1 First-Order Equations: Separable, Linear and Exact
326.2 Linear Constant-Coefficient Equations and Systems
336.3 Wronskians, Fundamental Sets and Reduction of Order
346.4 Green’s Functions for Ordinary Equations
35Chapter 7: Series Solutions and Special Functions
367.1 The Frobenius Method and Ordinary versus Singular Points
377.2 Legendre Polynomials and Spherical Problems
387.3 Bessel Functions and Cylindrical Problems
397.4 Gamma, Beta and Error Functions
40Chapter 8: Sturm-Liouville Theory and Orthogonal Expansions
418.1 Sturm-Liouville Form and Eigenvalue Properties
428.2 Generalized Fourier Expansions and Completeness
438.3 Fourier Series and Their Convergence
448.4 Orthogonal Polynomials and Their Recurrences
45Chapter 9: Integral Transforms
469.1 Fourier Transform: Definition, Properties and Pairs
479.2 Laplace Transform: Properties, Inversion and Transfer Functions
489.3 Convolution, Correlation and System Response
499.4 Transform Tables and Inversion Practice
50Chapter 10: Partial Differential Equations
A Brief History of IntelligenceMax S. Bennett12h 18m4.6 (6.6K)$29 · $0.00
The Story of BirdsSteve Brusatte11h 49m4.6 (401)$29 · $0.00
BeyondStephen Walker15h 39m4.6 (3.2K)$33 · $0.00
LiftoffEric Berger9h 4m4.6 (9.5K)$29 · $0.00
Black Earth WisdomLeah Penniman11h 54m4.6 (577)$8 · $0.00
Total Cat MojoJackson Galaxy10h 13m4.5 (8.4K)$23 · $0.00
My Life Among the UnderdogsTia Torres5h 51m4.5 (4K)$24 · $0.00
What It Takes to Save a LifeKwane Stewart6h4.6 (556)$24 · $0.00
Pastoral SongJames Rebanks8h 35m4.5 (12K)$26 · $0.00
How Stella Learned to TalkChristina Hunger7h4.5 (10.9K)$24 · $0.00
Craig & FredCraig Grossi8h 6m4.5 (9.6K)$26 · $0.00
Celebrating BirdsNatalia Rojas, Ana Maria Martinez6h 47m4.6 (330)$24 · $0.00
Saving JemimaJulie Zickefoose4h 59m4.5 (749)$20 · $0.00
Will's Red CoatTom Ryan8h 23m4.5 (2.3K)$26 · $0.00
Of Time and TurtlesSy Montgomery10h 34m4.5 (5K)$29 · $0.00
THE WOLF TRILOGY: Call of the Wild, White Fang & The Son of the WolfJack London17h 31m4.5 (2.4K)$1.99 · $0.00
Zen and the Art of Saving the PlanetThich Nhat Hanh9h 20m4.5 (3.9K)$29 · $0.00
BLACK BEAUTY (With Original Illustrations)Anna Sewell7h 31m4.5 (1.3K)$1.99 · $0.00
Bottle of LiesKatherine Eban14h 25m4.4 (12K)$33 · $0.00
IngrainedCallum Robinson8h 10m4.5 (1.1K)$26 · $0.00
The Honey BusMeredith May9h 31m4.4 (16.6K)$25 · $0.00
Collected Writings of Nikola TeslaThomas Commerford Martin, Nikola Tesla19h 42m4.4 (2.8K)$1.99 · $0.00
Operation PedestalMax Hastings12h 29m4.4 (5.2K)$29 · $0.00
When the Heavens Went on SaleAshlee Vance18h 20m4.4 (3K)$40 · $0.00
Everybody Has a Podcast (Except You)Justin McElroy, Travis McElroy, Griffin McElroy5h 9m4.3 (2.3K)$24 · $0.00
Hands of TimeRebecca Struthers8h 8m4.4 (1.3K)$26 · $0.00
Never Lost AgainBill Kilday10h 1m4.4 (805)$29 · $0.00
How the Internet HappenedBrian McCullough13h 28m4.3 (2.7K)$23 · $0.00
Collected Writings of Nikola TeslaNikola Tesla, Thomas Commerford Martin21h 50m4.3 (1.7K)$1 · $0.00
Just AspireAjai Chowdhry9h 13m4.4 (260)$29 · $0.00
The Little Book of AliensAdam Frank8h 20m4.3 (1.3K)$26 · $0.00
The inventions, researches and writings of Nikola Tesla (Annotated)Thomas Commerford Martin16h 59m4.3 (1.3K)$2 · $0.00
KargilV.P. Malik15h 18m4.3 (2K)$24 · $0.00
Experiments with Alternating CurrentsNikola Tesla9h 16m4.3 (874)$1.99 · $0.00
Fire on the HorizonTom Shroder, John Konrad8h 23m4.3 (858)$26 · $0.00
The Smell of Kerosene (Annotated)National Aeronautics and Space Administration, Donald L. Mallick, Peter W. Merlin11h 32m4.3 (523)$2 · $0.00
The Boy Who Harnessed the WindWilliam Kamkwamba, Bryan Mealer10h 5m4.2 (78.9K)$29 · $0.00
Across the Airless WildsEarl Swift10h 8m4.3 (1.3K)$29 · $0.00
Console WarsBlake J. Harris20h 41m4.2 (13.7K)$46 · $0.00
Improvised Munitions HandbookU.S. Department of Defense4h 49m4.3 (1.6K)$1.99 · $0.00
You may also like
How to Speak ScienceBruce Benamran13h 10m4.2 (419)$23
Scientific advertisingClaude C. Hopkins2h 22m4.1 (7.2K)$2.30 · $0.00
How to Make Money Reselling Clothes - How to Source, Photograph, Price, and Sell Secondhand Fashion OnlineJACK FLIPWELL5h 4m$7.70 · $0.00
BeautifulBill Brown Jr.1h 14m$10
I am learning NorwegianJM Gardner3h 56m$18 · $0.00
Everything Is BeautifulBill Brown Jr.55m$5
e-Pedia: KetchupWikipedia contributors92h 4m$1 · $0.00
Softly and TenderlyBill Brown Jr.17m$2
CocaineBill Brown Jr.43m$4
1000 essential words in PortugueseJM Gardner2h 18m$10 · $0.00
On The Street Where You LiveBill Brown Jr.1h 7m$10
El ToroBill Brown Jr.1h 1m$10
Bless the Broken Road (Piano Guys Arrangement)Bill Brown Jr.1h 20m$10
I am learning DutchJM Gardner3h 56m$18 · $0.00
Learn French: The Complete Beginner's Audio CourseGipsy Paladini5h 8m$41 · $0.00
Real Estate: Understanding Growth Corridors, Infrastructure, Legal Verification & Smart Property DecisionsHarold Neuman2h 5m$3.40 · $0.00
C++ System ProgrammingAdriAn HAllorAn7h 15m$5 · $0.00
German for Pre-intermediate learners_ part 01Tomas Dvoracek18h 47m$18 · $0.00
Crown Him With Many CrownsBill Brown Jr.12m$1
A Manual of Pyrotechny; or, A Familiar System of Recreative Fire-worksG. W. Mortimer4h 9m$1 · $0.00