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How to Solve It
How to Solve It
Oct 26, 2024 6:16 AM

Author:George Polya

How to Solve It

The definitive guide to mathematical problem solving, from one of the great teachers of the twentieth century

George Pólya's perennial bestseller has inspired generations around the world to think more clearly. Brilliantly showing how 'there is a grain of discovery in the solution of any problem', his strategies for mathematical problem-solving - from finding weak points to squeezing the data - will help get to the bottom of any puzzle.

'A superb book on how to think fresh thoughts ... A walk inside Pólya's mind as he builds up maxims on how to comprehend a problem, how to build up a strategy, and then how to test it' David Bodanis, Guardian

'Everyone should know the work of George Polya on how to solve problems' Marvin Minsky

'A classic ... It is the outcome of careful and informed deliberation by one of the great teachers among the ranks of research mathematicians' Ian Stewart, author of Does God Play Dice?

'Every prospective teacher should read it' E. T. Bell

Reviews

The outcome of careful and informed deliberation by one of the great teachers among the ranks of research mathematicians

—— Ian Stewart, author of Do Dice Play God?

Walk inside Polya's mind as he builds up maxims on how to comprehend a problem, how to build up a strategy, and then how to test it . . . a superb book on how to think fresh thoughts

—— Guardian

People from all walks of life should read this remarkable book. It is in my view one of the two or three most important books to appear this century

—— Prof. Sir David King, former Chief Scientific Advisor to the UK Government

As we begin to rethink our relationship with Nature, the unstinting work of George Monbiot becomes ever more valuable. Monbiot has been at the cutting edge of the discussion for decades, and his extraordinary book covers this complex, evolving subject with depth and breadth, sincerity and humour. I never cease to be surprised by the unexpected perspectives he brings to bear, leading me through problems I never envisaged and solutions I never imagined. We are left with the hope that the solutions might triumph, that we might make it through

—— Brian Eno

A book offering evidence-based hope is a rare thing in these days of climate and nature emergency - yet that's exactly what George Monbiot has written. Inspiring and compelling, Regenesis sets out a transformative vision of a new food future with the potential to both restore nature and feed the world. Monbiot's blueprint is both wildly ambitious and deeply practical, and might well be our last best hope of stopping the sixth great extinction

—— Caroline Lucas

This remarkable book, staring curiously down at the soil beneath our feet, points us convincingly in one of the directions we must travel. I learned something on every page

—— Bill McKibben

George Monbiot clears paths towards solutions that lie dormant within us, which, if embraced, could transform our world and our societies into better places. He reaches for new ideas that might ignite the collective consciousness in a push to protect, rather than tragically destroy, the biosphere. Read George Monbiot and you will meet the cheerful courage and passion of a fellow traveller on this earth who seeks authentic hope

—— ANOHNI

For anyone who cares about where our food comes from and its impact on the planet Regenesis is essential reading. This deeply researched book lifts the lid on our current methods of food production and all its dirty secrets: but more than that it provides a blueprint for the future. Monbiot pursues the key question: how can we have healthy food that's cheap enough for everyone to eat? His answers provide critical pathways towards a way to feed the planet

—— Rosie Boycott

Forget Elon Musk's dry-as-dust retro sci-fi fantasies, George Monbiot gives us an inspiring vision of the future that is alive and kicking and grounded in the latest scientific discoveries. George Monbiot has combined his gifts as an investigator, interviewer and witty storyteller to create an exhiliarating epic!

—— Robert Newman

A fascinating and ultimately positive book ... a harmonic vision of how changing our relationship to land use, farming and the food that we eat could transform our lives

—— Thom Yorke

Wonderful ... Monbiot shows that the thin layer on which all terrestrial ecosystems stand is alive with organisms as diverse, fascinating and mysterious as any found above ground. He shatters the shibboleths of farming, showing the way to a radical transformation of agricultural practices and exciting new opportunities for nourishment

—— David Suzuki

Regenesis is a world-making, world-changing book; at once visionary and rigorous and practicable. It rings and sings throughout with Monbiot's extraordinary combination of passion, generosity and justice. It is braced by his unshakeable commitment to bettering the planet for all its inhabitants, human and other-than-human. It is a thrilling work, more ambitious even than its predecessor, Feral, and it gripped me as I read. Recognising that "the future is underground", Monbiot shows us that the possibility for a transformed relationship with food, the living world and each other lies just beneath our feet, right under our noses

—— Robert Macfarlane

A brilliant, mesmerizing, vital book. Beneath each square meter of soil live thousands of species, and each chapter of George Monbiot's eye-opening exploration of that soil and its potential is similarly, dynamically rich-delivering a whole new way of thinking about our agriculture and our diets, our climate and our future. And much needed hope, besides

—— David Wallace-Wells

A genuinely brilliant, inspirational book ... George Monbiot embarks on a journey of discovery, realising that soil and its role in our life is bigger than everything else. Halfway through, I felt like a child who was bursting to share a secret with anyone who would listen. By the time I had finished reading, I felt as if the purest mountain stream had washed through my brain, and Monbiot had shared the most fundamentally important insight of his life

—— Sir Tim Smit, Founder of the Eden Project

You may think you are across environmental and climate change issues, but think again. This passionate, extraordinary book opens up a compelling and vital new dimension: food and the way the world farms

—— Will Hutton

With rigour, singular bravery and an infectious love for the living world, George Monbiot presents the Silent Spring of our time. Regenesis is an eye-watering reckoning of humanity's land and food crisis and an astonishing vision of survival and restoration. Monbiot takes us on a journey from the rhizospheres and the drilospheres through soil ecology, cultural myths, to the future of food all bound together with his own wonder-ful, beautifully-written observations. There is no topic more important for planetary survival than land and food, and there is no writer willing to dispense of bullshit, tell us the truth, and take on powerful forces and perceived wisdom like George Monbiot. A visionary, fearless, essential book

—— Lucy Jones

Monbiot rolls up his sleeves and pulls on his boots for an uncompromising session of agricultural dragon-slaying and foodie myth-busting. Unafraid to propose a new world order for farming and food production that is kinder to both people and planet, Regenesis is rigorous and restive, but also witty, original and humane. Let us hope it is read, digested and acted on by people, politicians and policy-makers the world over

—— Hugh Fearnley-Whittingstall

I am so grateful George Monbiot has applied his razor sharp intellect, bountiful curiosity and love for the land to the complex and fundamental issue of what we eat. This book offers a deep dive into the most essential question of our time - how might we feed ourselves without destroying our planet in the process?

—— Lily Cole

This is an important book and a gripping read. It will enflame vested interests on all sides. Because Monbiot has that most aggravating of gifts - the ability lucidly to point out things that people desperately do not want to be true

—— Henry Dimbleby

How can we ensure that everyone is fed without destroying the biosphere? Regenesis is a lively and deeply researched enquiry that confronts our dilemmas head on. There are no easy answers, but Monbiot provides a brilliant guide to asking the right questions. Transformation is urgently needed and this book shows how it is possible

—— Merlin Sheldrake

George Monbiot is a very skilful writer, and Regenesis shows all his powers at full stretch. He seems to see more fully than almost anyone else in this field, with a clarity of attention both to the smallest realities of a handful of soil and to the widest implications of the way human beings have lived and continue to live in the world. Telling things in the right order doesn't seem like one of the functions of the imagination, but again and again Monbiot shows that it is, with all the imaginative sympathy of a great storyteller as well as the overarching understanding of a moral visionary. This is a fine and necessary book

—— Philip Pullman

George Monbiot is one of the most fearless and important voices in the global climate movement today

—— Greta Thunberg

I used to look up to the stars for thoughts of infinity, eternity and divine cooperation. This book revealed to me I could find the same inspiration beneath the soles of my feet in less than a foot of soil. My walks on earth will never be the same as they were. The writing, observation and devotion is infectiously compelling. The learning is deep and immense

—— Mark Rylance

A magnificent new overview of how we might live and feed ourselves without destroying ourselves ... It is riveting ... Along with a dazzling array of stats, there's also impressive investigative reporting ... rich food for thought, devastating figures, startling insights and even the odd joke ... A hugely important read

—— Christopher Hart , The Sunday Times

A call to raze the pastoral imaginary so that we can begin to think clearly about how we produce food and steward the soil ... To have any chance of turning the age of extinction into an age of regeneration, systemic reform, based on the facts, not pastoral myth-making, is essential

—— Philippa Nuttall , New Statesman

Colossally important... You've got to read it

—— Max Porter (via Twitter)

A treasure trove of hope and solutions, and a vision for a sustainable, healthy, equitable world. We meet inspiring farmers as well as some radical solutions ... Comprehensive, devastating, rousing ... An essential book

—— Rowan Hooper , New Scientist

Big ideas, beautifully written and the portraits of people building the alternatives are gorgeous! Makes you angry and enraptured with the beauty of the natural world all at once

—— Aaron Bastani (via Twitter)

A paean to the wonder that is the ecology of soil, scientifically informed and beautifully told. The perfect bank holiday read

—— Yadvinder Malhi, Professor of Ecosystem Science at the University of Oxford

Phenomenal. Clear, eloquent, fearless and devastating in its analysis. A revolution in the future of food

—— Adam Rutherford (via Twitter)

Glorious ... intelligent, deeply researched .... The point Monbiot makes so ably and so necessarily is that system change is both essential and possible through a complexity of solutions ... The stakes could not be higher. If a book can change hearts and minds about one of the most critical issues of our time, this rational, humane polemic is it

—— Gaia Vince , Observer

Revolutionary ... Rigorous, bold and clear-sighted ... To conjure the miracle of more food with less farming, we need to rethink what lies beneath our feet

—— David Farrier , Prospect

Vivid and memorable... Regenesis is a compelling, deeply researched account of a deeply broken food system and how we might heal it

—— Irish Times

A compelling story of soil, food and farming

—— Financial Times

Ambitious and deeply researched ... Monbiot exposes, with journalistic flair, the 'gulf between perception and reality' about where and how our food is produced ... it includes some fascinating case studies ... bristling with ideas and imagination

—— Laura Battle , Financial Times

Eye-opening, persuasive, meticulously researched [...] Monbiot thinks globally [... and] his arguments take account of the needs of everyone in society

—— Amy Liptrot , Guardian

A paean to soil, told more gracefully and memorably than anyone before him... Regenesis is likely to become a classic. Monbiot is a writer of the first rank

—— Bill McKibben , Times Literary Supplement

Inspiring, courageous, and bursting with ideas

—— Jeremy Williams , The Earthbound Report

I feel completely changed by this book from Gabrielle Zevin. It's a book about love - about friendship, but really it transcends the borders of storytelling. My heart ached when I finished it. Truly unforgettable

—— CATHERINE CHO, author of Inferno

The perfect engrossing holiday read...beautiful and heartbreaking

—— The Times, *Summer Reads of 2023*

Zevin's delight in her characters, their qualities, and their projects sprinkles a layer of fairy dust over the whole enterprise. Sure to enchant even those who have never played a video game in their lives, with instant cult status for those who have.

—— Kirkus

A one-of-a-kind achievement

—— Publishers Weekly

A particularly memorable and compelling kind of love story... [a] nuanced depiction of human connection over 30 years that will have you blinking back tears behind your sunglasses

—— Culture Whisper, *Summer Reads of 2022*

dazzling and intricately imagined

—— B&N Reads

Zevin's writing is like being put under a spell. She's kind of magical.

—— Liberty Hardy , WBEZ

Sure to enchant even those who have never played a video game in their lives, with instant cult status for those who have.

—— Kirkus

exhilarating

—— Smithsonian

engrossing

—— Wall Street Journal

delightful and absorbing . . . expansive and entertaining

—— Tom Bissell , New York Times

The go-to for your next hit of Nineties nostalgia; if you ever spent too long playing Donkey Kong, this one's for you

—— Evening Standard, *Summer Reads of 2022*

This is a boy meets girl story that is never a romance - though it is romantic . . . Their relationship is a joining of minds and of worlds that is both purer and sweeter than any base physical attraction

—— Pippa Bailey , Observer

Big-hearted, generous, intelligent and open to the complexities of life

—— Irish Independent

A novel that treasures the act of play and holds it sacred . . . the world of video games and video game development is just the landscape in which life plays out . . . Tomorrow is about love, above all things

—— Sarah Maria Griffin , Guardian

Delightful and absorbing

—— Tom Bissell , International New York Times

Teenagers of the 21st century are as likely to bond over video games as they are rock music or movies. Gabrielle Zevin's exhilarating, timely and emotive book is perhaps the first novel to truly get to grips with what this means

—— Guardian

Exhilarating... this is refreshingly original

—— Psychologies

It is the imaginary world of a game, a world Zevin describes with the addict's ardour, which forms a universe even the sturdiest parent or antediluvian book-lover will be enticed into.

—— Big Issue

Friendship, love, loyalty, violence in America and the magic of invented worlds. Gorgeous

—— People

Tomorrow, and Tomorrow, and Tomorrow is a special book -- one that transports readers fully, as games do their players, into its immaculately crafted world

—— The Times

Woven throughout are meditations on originality, appropriation, the similarities between video games and other forms of art, the liberating possibilities of inhabiting a virtual world, and the ways in which platonic love can be deeper and more rewarding - especially in the context of a creative partnership - than romance.

—— New Yorker

Zevin probes at many of the themes that energize video games as a medium: their narrative depth, their therapeutic value, their casual violence, their toxic industry. And the possibility of living a better life in a virtual world

—— Wired

Zevin has the ability to make you care about her creations within paragraphs of meeting them... whose fates I consistently worried about when I occasionally had to put the book aside.

—— Financial Times

[An] engrossing, delightful novel... Zevin has the ability to make you care about her creations within paragraphs of meeting them... [Tomorrow] is rich with characters whose intertwined fates power the narrative

—— Financial Times

This book, with its respect for craft-the craft of love and games, or loving games-will remind you of how abundant one life is, how lucky we are to keep each other in our memories forever.

—— Kotaku

[I] raced through this pure wonder of a book in a few days

—— NINA MINGYA POWLES, author of Small Bodies of Water

A 2022 book that everyone should read

—— Pandora Sykes , Stylist LIVE

A must-read

—— Neil Druckmann

Anyone who reads Tomorrow And Tomorrow And Tomorrow can't stop talking about it

—— Stylist

Utterly beautiful and endlessly hopeful, Tomorrow, and Tomorrow, and Tomorrow is a love letter to life, friendship, and creativity

—— The Skinny, *Books of 2022*

[The] 2022 book that everyone should read

—— Pandora Sykes , Stylist Live

My #1 book to recommend . . . incredible, like The Amazing Adventures of Kavalier and Clay by Michael Chabon meets The Interestings by Meg Wolitzer. It's about love and friendship and video games

—— Emma Straub

It feels right that the best video game novel out there is by a woman. Her story about the decades-long friendship and partnership between video game designers Sam and Sadie gets at so much about work, love and storytelling. It's a book that spawns great conversations.

—— Irenosen Okojie, author of Nudibranch

In following Sam and Sadie's journey from Massachusetts to California and into the imagined worlds of their games, Zevin writes the most precious kind of love story

—— Time Magazine, Best Novel of the Year

Zevin's writing is poetic, the plot is entertaining, moving and gripping and the nods to real life video games make it all feel incredibly real

—— Skinny, *Books of the Year*

Reading this is almost like an invitation from Zevin to enter a game...with every scene and moment so carefully constructed. Just brilliant

—— Skinny, *Books of the Year*

I loved it

—— Sarah Keyworth

A hugely enjoyable novel about lives and loves mediated by technology

—— Guardian, *Summer Reads of 2023*

This playful, accomplished novel is a poignant celebration of friendship, love - and gaming

—— Daily Mail

An engrossing coming-of-age story

—— Sunday Times, *Books of the Year*

Epic in scale, with unforgettable characters, it breaks you heart and puts it back together

—— Daily Express, *Books of the Year*
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