This text provides a mathematically rigorous introduction to modern methods of machine learning and data analysis at the advanced undergraduate/beginning graduate level. The book is self-contained and requires minimal mathematical prerequisites. There is a strong focus on learning how and why algorithms work, as well as developing facility with their practical applications. Apart from basic calculus, the underlying mathematics — linear algebra, optimization, elementary probability, graph theory, and statistics — is developed from scratch in a form best suited to the overall goals. In particular, the wide-ranging linear algebra components are unique in their ordering and choice of topics, emphasizing those parts of the theory and techniques that are used in contemporary machine learning and data analysis. The book will provide a firm foundation to the reader whose goal is to work on applications of machine learning and/or research into the further development of this highly active field of contemporary applied mathematics.

To introduce the reader to a broad range of machine learning algorithms and how they are used in real world applications, the programming language Python is employed and offers a platform for many of the computational exercises. Python notebooks complementing various topics in the book are available on a companion GitHub site specified in the Preface, and can be easily accessed by scanning the QR codes or clicking on the links provided within the text. Exercises appear at the end of each section, including basic ones designed to test comprehension and computational skills, while others range over proofs not supplied in the text, practical computations, additional theoretical results, and further developments in the subject. The Students’ Solutions Manual may be accessed from GitHub. Instructors may apply for access to the Instructors’ Solutions Manual from the link supplied on the text’s Springer website.

The book can be used in a junior or senior level course for students majoring in mathematics with a focus on applications as well as students from other disciplines who desire to learn the tools of modern applied linear algebra and optimization. It may also be used as an introduction to fundamental techniques in data science and machine learning for advanced undergraduate and graduate students or researchers from other areas, including statistics, computer science, engineering, biology, economics and finance, and so on.

About the Author

Jeff Calder received his Ph.D. degree in applied and interdisciplinary mathematics from the University of Michigan under the guidance of Prof. Selim Esedoglu and Prof. Alfred Hero in 2014. Between 2014 and 2016 he was a Morrey Assistant Professor at the University of California, Berkeley, under the mentorship of Lawrence C. Evans and James Sethian. He has been on the faculty of the School of Mathematics at the University of Minnesota since 2016, full professor since 2025, where he has supervised 5 PhD students, 4 postdoctoral scholars, and a number of undergraduate and high school students on research projects.

Calder's research interests lie in applied probability, numerical analysis, and partial differential equations, with a specific interest in applications to machine learning and data analysis. Calder has published over 50 articles in journals and conferences spanning pure and applied mathematics and related areas, and holds several patents. His research has been recognized with an NSF Career Award and Alfred P. Sloan Research Fellowship in 2020, a University of Minnesota McKnight Presidential Fellowship and Guillermo E. Borja Award in 2021, and he currently holds the Albert and Dorothy Marden Professorship in Mathematics (2023-2028).

Peter J. Olver received his Ph.D. from Harvard University in 1976 under the guidance of Prof. Garrett Birkhoff. After being a Dickson Instructor at the University of Chicago and a postdoc at the University of Oxford, he has been on the faculty of the School of Mathematics at the University of Minnesota since 1980, and a full professor since 1985. He served as the Head of the Department from 2008 to 2020. He has supervised 23 Ph.D. students, and mentored over 30 postdocs, visiting students and scholars from around the world, as well as supervising numerous undergraduate research projects. He is a Fellow of the American Mathematical Society, the Society for Industrial and Applied Mathematics (SIAM), the Institute of Physics, UK, and the Asia-Pacific Artificial Intelligence Association (AAIA).

Over the years, he has contributed to a wide range of fields, including symmetry and Lie theory, partial differential equations, the calculus of variations, mathematical physics, fluid mechanics, elasticity, quantum mechanics, Hamiltonian mechanics, geometric numerical methods, differential geometry, classical invariant theory, algebra, computer vision and image processing, anthropology, and beyond. He is the author of over 160 papers in refereed journals, and has given more than 500 invited lectures on his research at conferences, universities, colleges, and institutes throughout the world. He was named a "Highly Cited Researcher” by Thomson-ISI in 2003, and an inaugural "Highly Ranked Scholar" by ScholarGPS in 2024.. He has written 6 books, including the definitive text on Applications of Lie Groups to Differential Equations, and two additional undergraduate texts: Partial Differential Equations and Applied Linear Algebra, the latter coauthored with his wife, Chehrzad Shakiban.

"About this title" may belong to another edition of this title.

Store Description

Online Handel nur mit Neub�chern

Visit Seller's Storefront

Seller's business information

Moluna GmbH
Engberdingdamm 27, Greven, 48268, Germany

Sale & Shipping Terms

Terms of Sale

Instructions for revocation/
Standard Business Terms and customer information/ data protection declaration

Revocation right for consumers
(A ?consumer? is any natural person who concludes a legal transaction which, to an overwhelming extent, cannot be attributed to either his commercial or independent professional activities.)

Instructions for revocation

Revocation right
You have the right to revoke this contract within one month without specifying any reasons.
The revocation period is one month...

More Information

Right of cancellation

Instructions for revocation/
Standard Business Terms and customer information/ data protection declaration

Revocation right for consumers
(A ‘consumer’ is any natural person who concludes a legal transaction which, to an overwhelming extent, cannot be attributed to either his commercial or independent professional activities.)

Instructions for revocation

Revocation right
You have the right to revoke this contract within one month without specifying any reasons.
The revocation period is one month with effect from the day,

on which you or a third party nominated by you, which is not the carrier, had taken possession of the products, provided you had ordered one or more products within the scope of a standard order and this/these product/products is/are delivered uniformly;
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last product, provided you had ordered several products within the scope of a standard order and these products are delivered separately;
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last part delivery or the last unit, provided you had ordered a product, which is delivered in several part deliveries or units;

In order to exercise your revocation right, you must inform us (Moluna GmbH, M�nsterstr. 105, 48268 Greven, Telephone number: 02571/5 69 89 33, Fax number: 02571/5 69 89 30, E-Mail address: abe@moluna.de) of your decision to revoke this contract by means of a clear declaration (e.g. a letter sent via post, fax or email). You can use the enclosed specimen revocation form for this, which however is not mandatory.

In order to safeguard the revocation period, it is sufficient that you send the notification about the exercise of the revocation right before the expiry of the revocation period.

Consequences of the revocation

If you revoke this contract, we shall repay all the payments, which we received from you, including the delivery costs (with the exception of additional costs, which arise from that fact that you selected a form of delivery other than the most reasonable standard delivery offered by us), immediately and at the latest within 14 days from the day on which we received the notification about the revocation of this contract from you. We use the same means of payment, which you had originally used during the original transaction, for this repayment unless expressly agreed otherwise with you; you will not be charged any fees owing to this repayment.

We can refuse the repayment until the products are returned to us or until you have furnished evidence that you have sent the products back to us, depending on whichever is earlier.

You must return or transfer the products to us immediately and, in any case, at the latest within 14 days with effect from the day on which you inform us of the revocation of this contract. The deadline is maintained if you send the products before the expiry of the 14 day deadline.

You bear the direct costs for returning the products.

You must pay for any depreciation of the products only if this depreciation can be attributed to any handling with you that was not necessary for checking the condition, features and functionality of the products.

Criteria for exclusion or expiry

The revocation right is not available for contracts

for delivery of products, which are not prefabricated and for whose manufacturing an individual selection or stipulation by the consumer is important or which are clearly tailored to the personal requirements of the consumer;
for delivery of products, which can spoil quickly or whose use-by date would be exceeded quickly;
for delivery of alcoholic drinks, whose price was agreed at the time of concluding the contract, which however can be delivered 30 days after the conclusion of the contract at the earliest and whose current value depends on the fluctuations in the market, on which the entrepreneur has no influence;
for delivery of newspapers, periodicals or magazines with the exception of subscription contracts.

The revocation right expires prematurely in case of contracts

for delivery of sealed products, which are not suitable for return for reasons of health protection or hygiene if their seal has been removed after the delivery;
for delivery of products if they have been mixed inseparably with other goods after the delivery, owing to their condition;
for delivery of sound or video recording or computer software in a sealed package if the seal has been removed after the delivery.

Specimen - revocation form

(If you wish to revoke the contract, please fill up this form and send it back to us.)

To Moluna GmbH, Engberdingdamm 27, 48268 Greven, Fax number: 02571/5 69 89 30, Email address: abe@moluna.de :
I/we () herewith revoke the contract concluded by me/ us () regarding the purchase of the following products ()/
the provision of the following service ()
Ordered on ()/ received on ()
Name of the consumer(s)
Address of the consumer(s)
Signature of the consumer(s) (only in case of a notification on paper)
Date

(*) Cross out the incorrect option.

Shipping Terms

II. Kundeninformationen

Identit�t des Verk�ufers

Moluna GmbH
Engberdingdamm 27
48268 Greven
Deutschland
Telefon: 02571/5698933
E-Mail: abe@moluna.de

Wir sind nicht bereit und nicht verpflichtet, an Streitbeilegungsverfahren vor Verbraucherschlichtungsstellen teilzunehmen.

Informationen zum Zustandekommen des Vertrages

Die technischen Schritte zum Vertragsschluss, der Vertragsschluss selbst und die Korrekturm�glichkeiten erfolgen nach Ma�gabe der Regelungen "Zustandekommen des Vertrages" unserer Allgemeinen Gesch�ftsbedingungen (Teil I.).

Vertragssprache, Vertragstextspeicherung

3.1. Vertragssprache ist deutsch .

3.2. Der vollst�ndige Vertragstext wird von uns nicht gespeichert. Vor Absenden der Bestellung k�nnen die Vertragsdaten �ber die Druckfunktion des Browsers ausgedruckt oder elektronisch gesichert werden. Nach Zugang der Bestellung bei uns werden die Bestelldaten, die gesetzlich vorgeschriebenen Informationen bei Fernabsatzvertr�gen und die Allgemeinen Gesch�ftsbedingungen nochmals per E-Mail an Sie �bersandt.

Wesentliche Merkmale der Ware oder Dienstleistung

Die wesentlichen Merkmale der Ware und/oder Dienstleistung finden sich im jeweiligen Angebot.

Preise und Zahlungsmodalit�ten

5.1. Die in den jeweiligen Angeboten angef�hrten Preise sowie die Versandkosten stellen Gesamtpreise dar. Sie beinhalten alle Preisbestandteile einschlie�lich aller anfallenden Steuern.

5.2. Die anfallenden Versandkosten sind nicht im Kaufpreis enthalten. Sie sind �ber eine entsprechend bezeichnete Schaltfl�che auf unserer Internetpr�senz oder im jeweiligen Angebot aufrufbar, werden im Laufe des Bestellvorganges gesondert ausgewiesen und sind von Ihnen zus�tzlich zu tragen, soweit nicht die versandkostenfreie Lieferung zugesagt ist.

5.3. Die Ihnen zur Verf�gung stehenden Zahlungsarten sind unter einer entsprechend bezeichneten Schaltfl�che auf unserer Internetpr�senz oder im jeweiligen Angebot ausgewiesen.

5.4. Soweit bei den einzelnen Zahlungsarten nicht anders angegeben, sind die Zahlungsanspr�che aus dem geschlossenen Vertrag sofort zur Zahlung f�llig.

Lieferbedingungen

6.1. Die Lieferbedingungen, der Liefertermin sowie gegebenenfalls bestehende Lieferbeschr�nkungen finden sich unter einer entsprechend bezeichneten Schaltfl�che auf unserer Internetpr�senz oder im jeweiligen Angebot.

Soweit im jeweiligen Angebot oder unter der entsprechend bezeichneten Schaltfl�che keine andere Frist angegeben ist, erfolgt die Lieferung der Ware innerhalb von 3-5 Tagen nach Vertragsschluss (bei vereinbarter Vorauszahlung jedoch erst nach dem Zeitpunkt Ihrer Zahlungsanweisung).

6.2. Soweit Sie Verbraucher sind ist gesetzlich geregelt, dass die Gefahr des zuf�lligen Untergangs und der zuf�lligen Verschlechterung der verkauften Sache w�hrend der Versendung erst mit der �bergabe der Ware an Sie �bergeht, unabh�ngig davon, ob die Versendung versichert oder unversichert erfolgt. Dies gilt nicht, wenn Sie eigenst�ndig ein nicht vom Unternehmer benanntes Transportunternehmen oder eine sonst zur Ausf�hrung der Versendung bestimmte Person beauftragt haben.

Sind Sie Unternehmer, erfolgt die Lieferung und Versendung auf Ihre Gefahr.

Gesetzliches M�ngelhaftungsrecht

Die M�ngelhaftung richtet sich nach der Regelung "Gew�hrleistung" in unseren Allgemeinen Gesch�ftsbedingungen (Teil I).

letzte Aktualisierung: 23.10.2019

Shipping rates from Germany to U.S.A.

Shipping rates from Germany to U.S.A.
Order quantity	13 to 40 business days	13 to 40 business days
First item	� 42.37	� 42.37

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Detailed Seller Information