D. Zack Garza

D. Zack Garza

He/Him/His Mathematics, University of Georgia Office: 438 Boyd [email protected]

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Recommendations: Graduate Level Texts and Notes

5 minute read

Inspired by the following Twitter thread:

Yo math tweeps, what is an absolutely standard textbook in your field that'd be accessible to advanced undergrads and/or newbie grad students? — D. Zack Garza (∂² ⋘ 0) (@dzackgarza) October 11, 2020

Multiple Areas

The Chicago Undergraduate Mathematics Bibliography

Comments on a number of mathematics books

Milne’s Collection of Course Notes

Pete Clark’s Expositions

PDF Notes for a variety of Cambridge courses

Qiaochu Yuan has some reading recommendations

This blog also has a large list of recommendations, sorted by topic

As does this one

There is a similar community wiki on MSE

You can find ranked recommendations on this question on MO

UC Berkeley has a bibliography of books used by class.

Real Analysis

Gerald b. folland, real analysis: modern techniques and applications.

  • Links to some homeworks and solutions at UCSD

Walter Rudin, Real and Complex Analysis

  • Useful as a general reference, but there are more useful techniques in other books.

Stein and Shakarchi, Real Analysis: Measure Theory, Integration, and Hilbert Spaces

  • Has more useful techniques than Rudin.
  • Doesn’t include $L^p$ spaces or convexity.

Lieb-Loss, Real Analysis

  • Good source for $L^p$ spaces, convexity, and Fourier analysis.

Stein and Shakarchi, Fourier Analysis

  • Very elementary.

Schilling, Measures, Integrals, and Martingales

Royden, real analysis, complex analysis, taylor, complex analysis, simon, complex analysis, stein and shakarchi, complex analysis, lars ahlfors, complex analysis, conway, functions of one complex variable i, functional analysis, conway, a course in functional analysis, differential equations, evans, partial differential equations.

  • Good source for Sobolev spaces.

V. Arnold, Ordinary Differential Equations

Probability, s. ross, a first course in probability (prentice-hall), shiryayev, probability., feller, an introduction to probability theory and its applications, durrett, probability: theory and examples, general/introductory, dummit and foote, abstract algebra.

  • Standard reference, encyclopaedic!

Hungerford, Algebra

Isaacs, algebra, m. artin, algebra, commutative algebra, altman-kleiman, a term of commutative algebra.

https://www.mi.fu-berlin.de/en/math/groups/arithmetic_geometry/teaching/exercises/Altman_-Kleiman---A-term-of-commutative-algebra-_2017_.pdf

Atiyah and MacDonald, Introduction to Commutative Algebra

Representation theory.

  • Gaitsgory, Course Notes on Geometric Representation Theory
  • Mcgerty, Notes on Lie Groups/Algebras
  • From a physicist’s perspective

J-P. Serre, Linear Representations of Finite Groups

Humphreys, introduction to lie algebras and representation theory, pramod achar, unreleased geometric representation theory text, nicolas libedinsky, gentle introduction to soergel bimodules.

  • Notes: Gentle introduction to Soergel bimodules I: The basics

Hall, Lie Groups, Lie Algebras, and Representations

Kirillov, introduction to lie groups and lie algebras.

  • Recommended by Daniel Litt, link to notes

Homological

Peter j. hilton and urs stammbach, a course in homological algebra.

  • Recommended by Dan Nakano

Kirillov, Lie Groups and Lie Algebras

  • Recommended by Daniel Litt

Algebraic Geometry

  • Gathmann, Notes
  • Vakil, Rising Sea Notes

Robin Hartshorne, Algebraic Geometry

Eisenbud and harris, the geometry of schemes.

  • Standard! Notes here: The Geometry of Schemes

Mumford, The Red Book of Varieties and Schemes

Number theory, algebraic number theory, j. neukirch, algebraic number theory.

  • Large number of exercises here

Cassels and Fröhlich, Algebraic Number Theory

J. milne, algebraic number theory.

  • Not a textbook: actually notes

Uncategorized

J.-p. serre, a course in arithmetic, silverman, the arithmetic of elliptic curves, marcus, number fields.

  • Covers quadratic fields

J.-P. Serre, Local fields

F. lorenz, algebra volume ii: fields with structure, algebras and advanced topics, j. milne, class field theory, weil, basic number theory, saban alaca and kenneth williams, introductory algebraic number theory, valenza, fourier analysis on number fields.

  • Slightly out-of-date

Algebraic Topology

Hatcher, algebraic topology.

  • Standard reference.

Peter May, A Concise Course in Algebraic Topology

Dodson and parker, a user’s guide to algebraic topology.

  • Covers more advanced topics than a usual course: some sheaf theory, bundles, characteristic classes, obstruction theory
  • Appendices on algebra, topology, manifolds/bundles, and tables of homotopy groups

Glen Bredon, Topology and Geometry

  • Blends differential and algebraic topology, can be disorienting as a first pass

Milnor, Topology from the Differentiable Viewpoint (Princeton)

  • Classic reference.

Bott and Tu, Differential Forms in Algebraic Topology (Springer)

Massey, a basic course in algebraic topology, homotopy theory.

  • Dwyer-Spalinski, Homotopy Theories and Model Categories
  • Hovey-Shipley-Smith, Symmetric Spectra
  • Hovey, Spectra and symmetric spectra in general model categories

Bott-Tu, Differential Forms in Algebraic Topology

Griffiths-morgan, rational homotopy theory and differential forms, mosher-tangora, cohomology operations and applications in homotopy theory, milnor, topology from the differentiable viewpoint., differential geometry and topology, manfredo p. do carmo, riemannian geometry, manfredo p. do carmo, differential geometry of curves and surfaces, guillemin and pollack, differential topology, john m. lee, introduction to smooth manifolds, milnor, morse theory, pollack, differential topology, milnor, lectures on h-cobordism, frank warner, foundations of differentiable manifolds and lie groups (), guillemin, stable mappings and their singularities, symplectic geometry/topology, dusa mcduff, introduction to symplectic topology, eliashberg, from stein to weinstein and back, cannas da silva, lectures on symplectic geometry.

  • Skip chapters 4, 5, 25, 26, 30

Complex Geometry

Claire voisin, hodge theory and complex algebraic geometry, volumes i and ii, daniel huybrechts, complex geometry an introduction, griffiths-harris, principles of algebraic geometry, carlson, period mappings and period domains, rick miranda, algebraic curves and riemann surfaces, f. kirwan, complex algebraic curves, voison, hodge theory and complex algebraic geometry i.

  • Notes: Period Mappings and Period Domains

Knot Theory

  • Justin Roberts, Knots Knotes

Rolfsen, Knots and Links

Livingston, knot theory, colin adams, the knot book, turner, five lectures of khovanov homology.

  • Arxiv, link

Bar-Natan, On Khovanov’s categorification of the Jones polynomial

J. kock, frobenius algebras and 2d tqfts, osvath and szabo, grid homology for knots and links, geometric group theory.

Here are 4 books that all my grad students read: 1. Brown's "Cohomology of groups" 2. Serre's "Trees" (followed up w/ Scott's article "Topological methods in group theory") 3. Witte-Morris's "Introduction to arithmetic groups" 4. Farb-Margalit's "Primer on mapping class groups" — Andrew Putman (@AndyPutmanMath) October 11, 2020

Serre, Trees

  • Recommendation from Andrew Putman: follow up with Scott’s Topological Methods in Group Theory

Witte-Morris, Introduction to Arithmetic Groups

Farb-margalit, primer on mapping class groups, mark srednicki, quantum field theory, pierre deligne, quantum fields and strings: a course for mathematicians, howard georgi, lie algebras in particle physics, kusse, mathematical physics, combinatorics, stanley, enumerative combinatorics vol 1, bruce sagan - springer, the symmetric group, doug west, introduction to graph theory, kunen, set theory: an introduction to independence proofs, model theory, tent and ziegler, a course in model theory, unsorted recommendations, sipser, introduction to the theory of computation, murray, mathematical biology, mac lane-moerdijk, sheaves in geometry and logic: a first introduction to topos theory, you may also enjoy.

phd mathematics books

Some notes on Krantz’s “A Mathematician’s survival guide”

17 minute read

Recommendations: Undergraduate Resources

10 minute read

What To Do as an Undergraduate

Intro to Derived Algebraic Geometry 1: The Cotangent Complex and Derived de Rham Cohomology

Some introductory notes on derived algebraic geometry from an MSRI workshop series.

Introduction to Infinity Categories

Some notes on a short introductory video on some foundational aspects of infinity categories.

phd mathematics books

Book series

Book titles in this series

Fundamentals of fourier analysis.

  • Loukas Grafakos
  • Copyright: 2024

Available Renditions

phd mathematics books

An Invitation to Mathematical Logic

  • David Marker

phd mathematics books

Drinfeld Modules

  • Mihran Papikian
  • Copyright: 2023

phd mathematics books

An Introduction to Automorphic Representations

With a view toward trace formulae

  • Jayce R. Getz
  • Heekyoung Hahn

phd mathematics books

Partial Differential Equations

An Introduction to Analytical and Numerical Methods

  • Wolfgang Arendt
  • Karsten Urban

phd mathematics books

Continuous Parameter Markov Processes and Stochastic Differential Equations

  • Rabi Bhattacharya
  • Edward C. Waymire

phd mathematics books

Measure Theory, Probability, and Stochastic Processes

  • Jean-François Le Gall
  • Copyright: 2022

phd mathematics books

More Explorations in Complex Functions

  • Richard Beals
  • Roderick S.C. Wong

phd mathematics books

Random Walks on Infinite Groups

  • Steven P. Lalley

phd mathematics books

Stationary Processes and Discrete Parameter Markov Processes

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1-16 of 420 results

AP Calculus Premium, 2024: 12 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)

AP Calculus Premium, 2024: 12 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)

Penguin Random House A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

Penguin Random House A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

AP Statistics Premium, 2024: 9 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)

AP Statistics Premium, 2024: 9 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)

Easy Math Step-by-Step, Second Edition (EDUCATION/ALL OTHER)

Easy Math Step-by-Step, Second Edition (EDUCATION/ALL OTHER)

Must Know High School Trigonometry (EDUCATION/ALL OTHER)

Must Know High School Trigonometry (EDUCATION/ALL OTHER)

Machine Learning

Machine Learning

Time, Money & Fractions Grades 1-2

Time, Money & Fractions Grades 1-2

AP Q&A Statistics: With 600 Questions and Answers

AP Q&A Statistics: With 600 Questions and Answers

Painless Algebra (Barron's Painless)

Painless Algebra (Barron's Painless)

Learning Machines 101

Learning Machines 101

Julia for Machine Learning

Julia for Machine Learning

Hands-on Azure Cognitive Services: Applying AI and Machine Learning for Richer Applications

Hands-on Azure Cognitive Services: Applying AI and Machine Learning for Richer Applications

Logic, Sets and the Techniques of Mathematical Proofs: A Companion for High School and College Students

Logic, Sets and the Techniques of Mathematical Proofs: A Companion for High School and College Students

Barron's AP Calculus, 15th Edition: With Bonus Online Tests

Barron's AP Calculus, 15th Edition: With Bonus Online Tests

Data Wrangling with R (Use R!)

Data Wrangling with R (Use R!)

Circle's True Pi Value Equals the Square Root of Ten

Circle's True Pi Value Equals the Square Root of Ten

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Mathematics

Optical Illusion

  • Diana Gillooly Executive Editor, Mathematics

The mathematics list encompasses pure and applied mathematics; the history, philosophy, and foundations of mathematics; and the intersection of mathematics with the sciences, the arts, and society. Grounded in the strong intellectual tradition of the Annals of Mathematics Studies,   these books contribute to a large and diverse body of mathematical knowledge.

Areas of strength include analysis, geometry, optimization, complex systems, and mathematical data science. The list also highlights mathematics across scholarly disciplines, particularly within the natural sciences and the arts. Guided by a focus on quality, accessibility, and the unconventional, these books reflect and amplify the central role of mathematics in society.

New & Noteworthy

What Determines an Algebraic Variety?

See All Books

See All Series

Our innumerate democracy

Abacus with red and blue beads.

The Declaration of Independence is a mathematical document. It starts by proclaiming certain truths to be self-evident and proceeds to list them. In math, such statements are the axioms of a theory.

Radio then and now

A collection of vintage radios on wooden shelves

When I was a kid, you could actually look inside a radio and see all sorts of neat stuff in there, like the amazing mechanical linkages of the tuning mechanism, or the mysterious, soft yellow glow of the vacuum tubes (the transistor hadn’t yet completely replaced tubes). The wonders of what I could see inside my parents’ 1947 AM/FM radio console hooked me.

Pi is magic

A photograph of a chalkboard with the numbers of Pi written across it

Pi is magic. It is a number that is infinite, universal, transcendental, and irrational. It appears everywhere, and my mathematician friends tell me that Pi is as close to religion as you can get in math.

Why prove it?

right triangle

Years ago, a student in an introductory math class asked me: “Why do you prove everything; why don’t you just tell us?” Ever since, I have pondered that question.

The challenge of popularizing mathematics

artwork using mathematical notation

Of all the academic disciplines, mathematics is perhaps the most difficult to popularize. One must navigate a subject that is not always received with excitement by the general public.

See All Ideas

Featured Authors

Lynn Gamwell

Author Index

A Course in Complex Analysis

Landmark Titles

The Princeton Companion to Mathematics

  • Applied Mathematics
  • Calculus & Analysis
  • Discrete Mathematics
  • Geometry & Topology
  • History, Philosophy & Foundations
  • Number Theory
  • Optimization
  • Probability & Statistics

Stay connected for new books and special offers. Subscribe to receive a welcome discount for your next order. 

50% off sitewide with code FIFTY  |  May 7 – 31  |  Some exclusions apply. See our FAQ .

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Graduate Program

Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we urge independent work and research, there exists a real sense of camaraderie among our graduate students. As a result, the atmosphere created is one of excitement and stimulation as well as of mentoring and support. Furthermore, there exists a strong scholarly relationship between the Math Department and the Institute for Advanced Study, located just a short distance from campus, where students can make contact with members there as well as attend the IAS seminar series.  Our program has minimal requirements and maximal research and educational opportunities. We offer a broad variety of advanced research topics courses as well as more introductory level courses in algebra, analysis, and geometry, which help first-year students strengthen their mathematical background and get involved with faculty through basic course work. In addition to the courses, there are several informal seminars specifically geared toward graduate students: (1) Colloquium Lunch Talk, where experts who have been invited to present at the Department Colloquium give introductory talks, which allows graduate students to understand the afternoon colloquium more easily; (2) Graduate Student Seminar (GSS), which is organized and presented by graduate students for graduate students, creating a vibrant mathematical interaction among them; and, (3) What’s Happening in Fine Hall (WHIFH) seminar where faculty give talks in their own research areas specifically geared towards graduate students. Working or reading seminars in various research fields are also organized by graduate students each semester. First-year students are set on the fast track of research by choosing two advanced topics of research, beyond having a strong knowledge of three more general subjects: algebra, and real and complex analysis, as part of the required General Examination. It is the hope that one, or both, of the advanced topics will lead to the further discovery of a thesis problem. Students are expected to write a thesis in four years but will be provided an additional year to complete their work if deemed necessary. Most of our Ph.D.'s are successfully launched into academic positions at premier mathematical institutions as well as in industry .

Chenyang Xu

Jill leclair.

Welcome to the Math PhD program at Harvard University and the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Learn more about Harvard’s Math community and our statement on diversity and inclusion.

The Harvard Griffin GSAS Office of Equity, Diversity, Inclusion & Belonging offers student affinity groups for graduate students and many other resources.

The Harvard University Office for Gender Equity has dedicated GSAS Title IX resource coordinators who work with and support graduate students.

open. The application deadline is December 15, 2021. -->

The application deadline for fall 2024 admission has passed. Applications for fall 2025 admission will open in September 2024.

For information on admissions and financial support, please visit the Harvard Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.

Harvard Griffin GSAS is committed to ensuring that our application fee does not create a financial obstacle. Applicants can determine eligibility for a fee waiver by completing a series of questions in the Application Fee section of the application. Once these questions have been answered, the application system will provide an immediate response regarding fee waiver eligibility.

PhD Program

More information and a full list of requirements for the PhD program in Mathematics can be found in the University Bulletin .

During their first year in the program, students typically engage in coursework and seminars which prepare them for the  Qualifying Examinations .  Currently, these two exams test the student’s breadth of knowledge in algebra and real analysis. 

Starting in Autumn 2023, students will choose 2 out of 4 qualifying exam topics: 

  • real analysis
  • geometry and topology
  • applied mathematics

Course Requirements for students starting prior to Autumn 2023

To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297.

Within the 27 units, students must satisfactorily complete a course sequence. This can be fulfilled in one of the following ways:

  • Math 215A, B, & C: Algebraic Topology, Differential Topology, and Differential Geometry
  • Math 216A, B, & C: Introduction to Algebraic Geometry
  • Math 230A, B, & C: Theory of Probability
  • 3 quarter course sequence in a single subject approved in advance by the Director of Graduate Studies.

Course Requirements for students starting in Autumn 2023 and later

To qualify for candidacy, the student must have successfully completed 27 units of Math graduate courses numbered between 200 and 297. The course sequence requirement is discontinued for students starting in Autumn 2023 and later.

By the end of Spring Quarter of their second year in the program, students must have a dissertation advisor and apply for Candidacy.

During their third year, students will take their Area Examination , which must be completed by the end of Winter Quarter. This exam assesses the student’s breadth of knowledge in their particular area of research. The Area Examination is also used as an opportunity for the student to present their committee with a summary of research conducted to date as well as a detailed plan for the remaining research.

Years 4&5

Typically during the latter part of the fourth or early part of the fifth year of study, students are expected to finish their dissertation research. At this time, students defend their dissertation as they sit for their University Oral Examination. Following the dissertation defense, students take a short time to make final revisions to their actual papers and submit the dissertation to their reading committee for final approval.

Throughout the PhD Program

All students continue through each year of the program serving some form of Assistantship: Course, Teaching or Research, unless they have funding from outside the department.

Our graduate students are very active as both leaders and participants in seminars and colloquia in their chosen areas of interest.

IIT Bombay Department of Mathematics

  • Books Written by Faculty
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Choose Colour

Graduate Students 2018-2019

The department offers programs covering a broad range of topics leading to the Doctor of Philosophy and the Doctor of Science degrees (the student chooses which to receive; they are functionally equivalent). Candidates are admitted to either the Pure or Applied Mathematics programs but are free to pursue interests in both groups. Of the roughly 120 Ph.D. students, about 2/3 are in Pure Mathematics, 1/3 in Applied Mathematics.

The two programs in Pure and Applied Mathematics offer basic and advanced classes in analysis, algebra, geometry, Lie theory, logic, number theory, probability, statistics, topology, astrophysics, combinatorics, fluid dynamics, numerical analysis, mathematics of data, and the theory of computation. In addition, many mathematically-oriented courses are offered by other departments. Students in Applied Mathematics are especially encouraged to take courses in engineering and scientific subjects related to their research.

All students pursue research under the supervision of the faculty , and are encouraged to take advantage of the many seminars and colloquia at MIT and in the Boston area.

Degree Requirements

Degree requirements consist of:

  • Oral qualifying exam
  • Classroom teaching
  • Original thesis and defense

Prospective students are invited to consult the graduate career timeline for more information, and to read about the application procedure .

Graduate Co-Chairs

Graduate Student Issues, math graduate admissions

Jonathan Kelner , Davesh Maulik , and Zhiwei Yun

Ph.D. Program

Degree requirements.

In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.

  • Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics
  • Pass the six-hour written Preliminary Examination covering calculus, real analysis, complex analysis, linear algebra, and abstract algebra; students must pass the prelim before the start of their second year in the program (within three semesters of starting the program)
  • Pass a three-hour, oral Qualifying Examination emphasizing, but not exclusively restricted to, the area of specialization. The Qualifying Examination must be attempted within two years of entering the program
  • Complete a seminar, giving a talk of at least one-hour duration
  • Write a dissertation embodying the results of original research and acceptable to a properly constituted dissertation committee
  • Meet the University residence requirement of two years or four semesters

Detailed Regulations

The detailed regulations of the Ph.D. program are the following:

Course Requirements

During the first year of the Ph.D. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice-Chair for Graduate Studies.

Preliminary Examination

The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra, and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.

Qualifying Examination

To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members.  All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, t he Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee . The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall. The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program. For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.

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Mathematician + Pianist

Dr Eugenia Cheng is a mathematician, educator, author, public speaker, columnist, concert pianist, composer and artist. She is Scientist In Residence at the School of the Art Institute of Chicago. She won tenure in Pure Mathematics at the University of Sheffield, UK and is now Honorary Visiting Fellow at City, University of London. She has previously taught at the Universities of Cambridge, Chicago and Nice and holds a PhD in pure mathematics from the University of Cambridge. Alongside her research in Category Theory and undergraduate teaching her aim is to rid the world of “math phobia”.  Her first popular math book, How to Bake Pi , was published by Profile (UK)/Basic Books (US) in 2015 to widespread acclaim including from the New York Times , National Geographic , Scientific American , and she was interviewed around the world including on the BBC, NPR and The Late Show with Stephen Colbert. Eugenia was an early pioneer of math on YouTube and her videos have been viewed around 15 million times to date. Her next popular math book, Beyond Infinity was published in 2017 and was shortlisted for the Royal Society Insight Investment Science Book Prize 2017 , and The Art of Logic was published by Profile and Basic Books in 2018, and “ x + y : A Mathematician’s Manifesto for Rethinking Gender ” in 2020. She also writes the Everyday Math column for the Wall Street Journal, and has completed mathematical art commissions for Hotel EMC2, 6018 North, the Lubeznik Center and the Cultural Center, Chicago. She is the founder of the Liederstube , an intimate oasis for art song based in Chicago. As a composer she has been commissioned by GRAMMY nominated soprano Laura Strickling and is one of the composers for the Lynx Amplify series, setting work by autistic poets who are primarily non-speaking.

Eugenia’s has also written two children’s books, “ Molly and the Mathematical Mysteries ” and “ Bake Infinite Pie with x+y “. “ The Joy of Abstraction: A Exploration of Math, Category theory, and Life ” (Cambridge University Press) came out in 2022, and her latest book is “Is Math Real? How simple questions lead us to mathematics’ deepest truths” published by Profile/Basic in 2023.

For speaking requests, please contact Jayme Boucher at Hachette Speakers Bureau at [email protected]

Read Eugenia’s full story here .

Top left and right pictures by Paul Crisanti of PhotoGetGo .

Eugenia recommends:

The best books by women about women, beyond romance, motherhood, or emulating men, latest books, is maths real.

June 2023 (UK), August 2023 (US)

The Joy of Abstraction

October 2022

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COMMENTS

  1. Graduate Texts in Mathematics

    Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in mathematics. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. Although these books are frequently used as textbooks in graduate courses, they are also suitable for individual study.

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    Online shopping for Books from a great selection of Algebra, Calculus, Logic, Functional Analysis, Number Theory, Fractals & more at everyday low prices. ... TExES Mathematics 4-8 (115), 2nd Ed., Book + Online. by Dr. Trena Wilkerson Ph.D. | Sep 5, 2017. 4.5 out of 5 stars. 100. Paperback. ... by PhD Jorge Alfonso Sáenz | Sep 28, 2023. 5.0 out ...

  3. Cambridge Mathematical Textbooks

    About Cambridge Mathematical Textbooks. Cambridge Mathematical Textbooks is a program of undergraduate and beginning graduate level textbooks for core courses, new courses, and interdisciplinary courses in pure and applied mathematics. These texts provide motivation with plenty of exercises of varying difficulty, interesting examples, modern ...

  4. Mathematics books, ebooks, and academic textbooks

    Cambridge Mathematical Textbooks is a program of undergraduate and beginning graduate level textbooks for core courses, new courses, and interdisciplinary courses in pure and applied mathematics. These texts provide motivation with plenty of exercises of varying difficulty, interesting examples, modern applications, and unique approaches to the ...

  5. Graduate Texts in Mathematics

    Graduate Texts in Mathematics ( GTM) ( ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages). The GTM series is easily identified by a white band at the ...

  6. Recommendations: Graduate Level Texts and Notes

    Yo math tweeps, what is an absolutely standard textbook in your field that'd be accessible to advanced undergrads and/or newbie grad students? — D. Zack Garza (∂² ⋘ 0) (@dzackgarza) October 11, 2020 Multiple Areas. The Chicago Undergraduate Mathematics Bibliography. Comments on a number of mathematics books. Milne's Collection of ...

  7. Graduate Texts in Mathematics

    Graduate Texts in Mathematics bridge the gap between passive study and creative understanding, offering graduate-level introductions to advanced topics in ...

  8. Amazon.in: Phd

    Online shopping for Books from a great selection of Algebra & Trigonometry, Statistics, Calculus, Geometry & more at everyday low prices. ... Penguin Random House A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) by Barbara Oakley PhD | 31 July 2014. 4.5 out of 5 stars 6,072. Paperback

  9. Guide To Graduate Study

    Guide to Graduate Studies. The PhD Program. The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in ...

  10. Problems and Solutions in Mathematics

    This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial ...

  11. Mathematics

    The mathematics list encompasses pure and applied mathematics; the history, philosophy, and foundations of mathematics; and the intersection of mathematics with the sciences, the arts, and society. Grounded in the strong intellectual tradition of the Annals of Mathematics Studies, these books contribute to a large and diverse body of mathematical knowledge.

  12. Mathematical Modelling: A Graduate Textbook

    Seyed M. Moghadas, PhD, is Associate Professor of Applied Mathematics and Computational Epidemiology, and Director of the Agent-Based Modelling Laboratory at York University in Toronto, Ontario, Canada. Dr. Moghadas is an Associate Editor of Infectious Diseases in the Scientific Reports, Nature Publishing Group.. Majid Jaberi-Douraki, PhD, is Assistant Professor of Biomathematics at Kansas ...

  13. The Mathematical Experience: A National Book Award Winner

    This is ultimately a book on the philosophy of mathematics. Rather than a tedious and dry slog though, the authors use a very broad array of mathematical vignettes - often only a page or two long - to probe into various aspects of mathematics and the activity of doing mathematics in order to illuminate to the reader the position they ultimately present; namely, that mathematics occupies a ...

  14. Department of Mathematics at Columbia University

    Office of Student Affairs. 107 Low Library, MC 4304. New York, NY 10027. 212-854-6729. [email protected]. For information on the department and program: Michael Harris. Director of Graduate Studies. Department of Mathematics.

  15. Graduate Program

    Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we ...

  16. Harvard Mathematics Department Graduate Information

    Welcome to the Math PhD program at Harvard University and the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences. ... Department of Mathematics Science Center Room 325 1 Oxford Street Cambridge, MA 02138 USA. Tel: (617) 495-2171 Fax: (617) 495-5132. Department Main ...

  17. PhD Program

    PhD Program. More information and a full list of requirements for the PhD program in Mathematics can be found in the University Bulletin. During their first year in the program, students typically engage in coursework and seminars which prepare them for the Qualifying Examinations . Currently, these two exams test the student's breadth of ...

  18. Books

    A Course in Calculus and Real Analysis, Undergraduate Texts in Mathematics, Springer, New York, 2006. x+432 pp. ISBN: 978-0387-30530-1. Mohan C. Joshi, Amiya Kumar Pani and Sanjeev V. Sabnis (Editors) Industrial Mathematics, Narosa Publishing House, New Delhi 2006. 524 pp. ISBN: 978-81-7319-577-8.

  19. Graduate

    Graduate Students 2018-2019. The department offers programs covering a broad range of topics leading to the Doctor of Philosophy and the Doctor of Science degrees (the student chooses which to receive; they are functionally equivalent). Candidates are admitted to either the Pure or Applied Mathematics programs but are free to pursue interests ...

  20. Ph.D. Program

    In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements. During the first year of the Ph.D. program: Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics. Pass the six-hour written Preliminary Examination covering calculus ...

  21. Home

    She has previously taught at the Universities of Cambridge, Chicago and Nice and holds a PhD in pure mathematics from the University of Cambridge. Alongside her research in Category Theory and undergraduate teaching her aim is to rid the world of "math phobia". Her first popular math book, How to Bake Pi, was published by Profile (UK) ...

  22. Quora

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